2015创新设计(高中理科数学)基础回扣练——空间几何体及点、线、面之间的位置关系

the principle of simplifie d EIA of constructi on proje cts i n the regi on. I n terms of la nd, li nked to t he impleme ntation of urban a nd rural construction land increase a nd decre ase, re placement indicat ors for pri ority areas pr oje ct. Charges, int o the proje cts of water, electri city, a dministrative charges a nd prefere ntial policie s. In t he area of taxat ion, and settle d in area s of industry a nd its production company, withi n 5 years after the compl etion of fiscal i nce ntives to e nterpris es. I n terms of fina nci ng, integration of land, tax, fina ncial a nd other res our ces, a nd construct "Gover nment cre dit + busi ness credit" cre dit system, establ ishme nt of marketization, commer cialization and moderni zation of the inve stment and fina nci ng platform; effective Bank-e nterpri se docki ng, e ncourages private capital into t he Park, to rai se industry devel opment fund. 5, optimi ze the environment a nd s ervice i ndustries . To create "policy l owlands, Highla nds, integrity of s ervice la nd, devel opme nt land" as the goa l, to optimize the area under development envir onme nt. All admini strative law enforcement de partments to a ppoint a full -time pers onnel stati one d in areas dedi cated to coordinati ng and solving pr oblems a ss ociated with busi nesse s in thi s se ctor. When ther e are substantial i ssue s, se ctor lea ders arrange d to personal ly intervene, in -per son, in-pers on push tangi ble area buil ding a gree n light, easy li ne. To further reduce a nd standardi ze administrative examination a nd a ppr oval items, simplify examinati on and approval li nks, impr ove efficiency; accor ding to t he ... Since the e ducati ona l practi ce of the ma ss line of the party, him self seriously i n the e ducation, practi cal contr ol ce ntral "eight rules" a nd opposi ng "the four wi nds" and practi cing "three S uns", a nd che ck the spirit of Jiao Y ulu, i de ology, soli cit opini ons bas ed on outstanding probl ems checke d sw ing, careful a na lysi s and reflection. Will now check re port is a s follow s: first, adherence to t he party's politi cal di sci pline , eight in t he central pr ovision, cha nge the style of the ba sic s ituation of 1, i n compliance wit h the party's political dis cipli nes. Conscie ntiously abide by the party' s politica l disci pline, abi de by t he Constit ution and the rules and regulati ons of the party, i n the political, ide ologi cal a nd maintai n hig hly consi stent with t he CPC Central Committee on t he acti on, t here is no vi olation of the party's political disci pli ne problems . 2, in t he impleme ntation of the central aut hor ities of the eight provisi ons. Impr oving rese arch, improvi ng research methods, but t here are les s grass -root s unit s, primary first-hand an i nade quate gras p of the probl em, whi ch is t o be stre ngthe ned in t he future . Second, construction, strictly i n accor dance with t he provi sions to streamli ne and im prove t he quality of meetings of the Conference. T hird, streamlining file briefs, cult ure involve s all as pects of propaganda a nd ideol ogy, s ometimes due to the practi cal nee ds of invention notifications, thi s area nee ds furt her

基础回扣练——空间几何体及点、线、面之 间的位置关系
(建议用时:90 分钟) 一、选择题 1.(2014· 中山模拟)一个几何体的正视图和侧视图如图所示,则这个几何体的俯 视图不可能是 ( ).

解析

∵该几何体的正视图和侧视图都是正方形,∴其可能为正方体或底面直

径与高相等的圆柱或底面是等腰直角三角形且其腰长等于高的直三棱柱,但 不可能是一个底面矩形长与宽不相等的长方体.∴选 D. 答案 D

2.(2013· 豫西五校联考)如图是一个无盖的正方体盒子展开后的平面图,A,B,C 是展开图上的三点,则在正方体盒子中,∠ABC 的值为 ( ).

A.30° C.60°
streamlining. Four are sta ndar d visits, except as re quire d to participate in traini ng, no ot her a ctivity. Five i s to impr ove new s reporting, for propaganda work stri ctly accor ding to t he regul ations. Six is stri ctly your prese ntation publis hed strictly accor ding to t he reg ulations. 罚 济 经 或 决 理 处 好 做 权 作 操 规 违 承 对 。 明 文 与 全 安 、 度 进 督 监 并 , 宜 事 关 有 的 中 工 施 调 协 责 负 专 定 指 人 包 发

B.45° D.90°
Seven is strictly thrift, require d the use of vehicle s and office spa ce and corporate hospitalit y. 3, cha nge the style. Propaganda a nd i deol ogical w ork of the new situati on a nd new requirement s of the new tasks , ha d done a l ot of fruitful work , has ma de many a chieveme nts, but further cl oser to t he grass r oots, cl ose t o reality, close to the masse s and als o ina dequate innovation must continue to impr ove. Second, the "four winds" s ome outstanding is sue s 1, oppose formali sm. One the ory is t hat he didn't, with le ss clos e contact. The oretical st udy of cons ciousne ss i s not high e nough, system perform ance i s not strong enough; more pa ssive lear ning, active le arni ng few generalities and learn mor e, delvi ng int o less .

Espe cially ba sed on rational thi nking on maj or iss ues, a pplyi ng the ory to guide t he work done is not good e nough, not really understand and grasp t he s pirit and es sence of the scie ntific Outlook on devel opme nt, di d not truly achieve master y, to a ppl y, to a certain extent, affect the devel opme nt and impl ementation of idea s and initiatives . Second, work arra ng ements , and less supervisi on. Propaganda and ide ologi cal w ork is the obj ective, w hich needs t o keep t he conti nuity efforts de ploye d, but stress ed in t he w ork time, less supervisi on. F or example, color weekends i n the summer thea trical activities , city s qua re performances, urging tow ns hips, communities and rural areas shows the implementati on i s ina dequate, insufficie nt cult ural an e du cational role t o pla y. Thir d ba se enoug h, master grass -les s real. Pr opaga nda a nd i deological work i n the new sit uation of characteristi cs a nd regul arity of enough, dee p e nough for grass -roots publi c opini on Dy namics surve y, for grass -roots typi cally drive less. For exampl e, rural culture team a ctive, .. . I'm not a ctively take the i nitiative to take up, the lack of spirit of daring to, re sulti ng in s ome j ob ha d a lot of power, but no tang ible res ults. T hird, innovation, lack of motivation. Emancipation di d not end, innovati on does not exist. In practical work, not your head, previous w ork experi ence, la ck of innovation initiative s, study on the chara cteristics of propaganda and ideol ogical w ork under t he new situation t hrough, gri p on grassroots ideol ogical tre nds a nd cha nges are not deep, to pr omote new initiatives and explore new met hods of ideologi cal a nd cultural w ork is not much, a nd some la ck of releva nce a nd timeli ness . 4, disci pline, low ering, a nd hard w ork are la cking. While worki ng and e nterprisi ng s pirit down. No real sol ution to treat yourself right, correctly treat past honors, their com place ncy, a nd w ork to se e their score s more, les s checki ng hi s ow n shortcomings, l ike to liste n to the praise, satisfied face, online promoti on, t here ar e typical, a nd la ck of high sta ndar ds a nd stri ct requireme nts, the effect is real. Second hard drive les s. On hard a nd

the principle of simplifie d EIA of constructi on proje cts i n the regi on. I n terms of la nd, li nked to t he impleme ntation of urban a nd rural construction land increase a nd decre ase, re placement indicat ors for pri ority areas pr oje ct. Charges, int o the proje cts of water, electri city, a dministrative charges a nd prefere ntial policie s. In t he area of taxation, and settle d in area s of industry a nd its production company, withi n 5 years after the compl etion of fiscal i nce ntives to e nterpris es. I n terms of fina nci ng, integration of land, tax, fina ncial a nd other res our ces, a nd construct "Gover nment cre dit + busi ness credit" cre dit system, establ ishme nt of marketization, commer cialization and moderni zation of the inve stment and fina nci ng platform; effective Bank-e nterpri se docki ng, e ncourages private capital into t he Park, to rai se industry devel opment fund. 5, optimize the environment a nd s ervice i ndustries . To create "policy l owlands, Highla nds, integrity of s ervice la nd, devel opme nt land" as the goa l, to optimize the area under development envir onme nt. All admini strative law enforcement de partments to a ppoint a full -time pers onnel stati one d in areas dedi cated to coordinati ng and solving pr oblems a ss ociated with busi nesse s in thi s se ctor. When ther e are substantial i ssue s, se ctor lea ders arrange d to personal ly intervene, in -per son, in-pers on push tangi ble area buil ding a gree n light, easy li ne. To further reduce a nd standardi ze administrative examination a nd a ppr oval items, simplify examinati on and approval li nks, impr ove efficiency; accor ding to t he ... Since the e ducati ona l practi ce of the ma ss line of the party, him self seriously i n the e ducation, practi cal contr ol ce ntral " eight rules" a nd opposi ng "the four wi nds" and practi cing "three S uns", a nd che ck the spirit of Jiao Y ulu, i de ology, soli cit opini ons bas ed on outstanding probl ems checke d sw ing, careful a nalysi s and reflection. Will now check re port is a s follow s: first, adherence to t he party's politi cal di sci pline , eight in t he central pr ovision, cha nge the style of the ba sic s ituation of 1, i n compliance wit h the party's political dis cipli nes. Conscie ntiously abide by the party' s politica l disci pline, abi de by t he Constit ution and the rules and regulati ons of the party, i n the political, ide ologi cal a nd maintai n hig hly consi stent with t he CPC Central Committee on t he acti on, t here is no vi olation of the party's political disci pli ne problems . 2, in t he impleme ntation of the central aut hor ities of the eight provisi ons. Impr oving rese arch, improvi ng research methods, but t here are les s grass -root s unit s, primary first-hand an i nade quate gras p of the probl em, whi ch is t o be stre ngthe ned in t he future . Second, construction, strictly i n accor dance with t he provi sions to streamli ne and improve t he quality of meetings of the Conference. T hird, streamlining file briefs, cult ure involve s all as pects of propaganda a nd ideol ogy, s ometimes due to the pr acti cal nee ds of invention notifications, thi s area nee ds furt her

解析

还原正方体,如图所示,连接 AB,BC,AC,可得△ABC 是正三角形,

则∠ABC=60° .

答案

C

3.(2013· 浙江五校联盟联考)关于直线 l,m 及平面 α,β,下列命题中正确的是 ( A.若 l∥α,α∩β=m,则 l∥m B.若 l∥α,m∥α,则 l∥m C.若 l⊥α,l∥β,则 α⊥β D.若 l∥α,m⊥l,则 m⊥α 答案 C ). ).

4.若直线 m?平面 α,则条件甲:直线 l∥α 是条件乙:l∥m 的( A.充分不必要条件 B.必要不充分条件 C.充要条件 D.既不充分也不必要条件 解析 乙,乙 答案 D

若 l∥α,m?α,不一定有 l∥m;若 l∥m,m?α,则 l?α 或 l∥α,因而甲 甲.

5.(2014· 揭阳二模)一个棱长为 2 的正方体沿其棱的中点截去部分后所得几何体 的三视图如图所示,则该几何体的体积为 ( ).

streamlining. Four are sta ndar d visits, except as re quire d to participate in traini ng, no ot her a ctivity. Five i s to impr ove new s reporting, for propaganda work stri ctly accor ding to t he regul ations. Six is stri ctly your prese ntation publis hed strictly accor ding to t he reg ulations. 罚 济 经 或 决 理 处 好 做 权 作 操 规 违 承 对 。 明 文 与 全 安 、 度 进 督 监 并 , 宜 事 关 有 的 中 工 施 调 协 责 负 专 定 指 人 包 发

Seven is strictly thrift, require d the use of vehicle s and office spa ce and corporate hospitalit y. 3, cha nge the style.

Propaganda a nd i deol ogical w ork of the new situati on a nd new requirement s of the new tasks , ha d done a l ot of fruitful work , has ma de many a chieveme nts, but further cl oser to t he grass r oots, cl ose t o reality, close to the masse s and als o ina dequate innovation must continue to impr ove. Second, the "four winds" s ome outstanding is sue s 1, oppose formali sm. One the ory is t hat he didn't, with le ss clos e contact. The oretical st udy of cons ciousne ss is not high e nough, system perform ance i s not strong enough; more pa ssive lear ning, active le ar ni ng few generalities and learn mor e, delvi ng int o less .

Espe cially ba sed on rational thi nking on maj or iss ues, a pplyi ng the ory to guide t he work done is not good e nough, not really understand and grasp t he s pirit and es sence of the scie ntific Outlook on devel opme nt, di d not truly achieve master y, to a ppl y, to a certain extent, affect the devel opme nt and impl ementation of idea s and initiatives . Second, work arra ngements , and less supervisi on. Propaganda and ide ologi cal w ork is the obj ective, w hich needs t o keep t he conti nuity efforts de ploye d, but stress ed in t he w ork time, less supervisi on. F or example, color weekends i n the sum mer thea trical activities , city s quare performances, urging tow ns hips, communities and rural areas shows the implementati on i s ina dequate, insufficie nt cult ural an e ducational role t o pla y. Thir d ba se enoug h, master grass -les s real. Pr opaga nda a nd i deological work i n the new sit uation of characteristi cs a nd regul arity of enough, dee p e nough for grass -roots publi c opini on Dy namics surve y, for grass -roots typi cally drive less. For exampl e, rural culture team a ctive, .. . I'm not a ctively take the i nitiative to take up, the lack of spirit of daring to, re sulti ng in s ome j ob ha d a lot of power, but no tang ible res ults. T hird, innovation, lack of motivation. Emancipation di d not end, innovati on does not exist. In practical work, not your head, previous w ork experi ence, la ck of innovation initiative s, study on the chara cteristics of propaganda and ideol ogical w ork under t he new situation t hrough, gri p on grassroots ideol ogical tre nds a nd cha nges are not deep, to pr omote new initiatives and explore new met hods of ideologi cal a nd cultural w ork is not much, a nd some la ck of releva nce a nd timeli ness . 4, disci pline, low ering, a nd hard w ork are la cking. While worki ng and e nterprisi ng s pirit down. No real sol ution to treat yourself right, correctly treat past honors, their com place ncy, a nd w ork to se e their score s more, les s checki ng hi s ow n shortcomings, l ike to liste n to the praise, satisfied face, online promoti on, t here ar e typical, a nd la ck of high sta ndar ds a nd stri ct requireme nts, the effect is real. Second hard drive les s. On hard a nd

the principle of simplifie d EIA of constructi on proje cts i n the regi on. I n terms of la nd, li nked to t he impleme ntation of urban a nd rural construction land increase a nd decre ase, re placement indicat ors for pri ority areas pr oje ct. Charges, int o the proje cts of water, electri city, a dministrative charges a nd prefere ntial policie s. In t he area of taxation, and settle d in area s of industry a nd its production company, withi n 5 years after the compl etion of fiscal i nce ntives to e nterpris es. I n terms of fina nci ng, integration of land, tax, fina ncial a nd other res our ces, a nd construct "Gover nment cre dit + busi ness credit" cre dit system, establ ishme nt of marketization, commer cialization and moderni zation of the inve stment and fina nci ng platform; effective Bank-e nterpri se docki ng, e ncourages private capital into t he Park, to rai se industry devel opment fund. 5, optimize the environment a nd s ervice i ndustries . To create "policy l owlands, Highla nds, integri ty of s ervice la nd, devel opme nt land" as the goa l, to optimize the area under development envir onme nt. All admini strative law enforcement de partments to a ppoint a full -time pers onnel stati one d in areas dedi cated to coordinati ng and solving pr oblems a ss ociated with busi nesse s in thi s se ctor. When ther e are substantial i ssue s, se ctor lea ders arrange d to personal ly intervene, in -per son, in-pers on push tangi ble area buil ding a gree n light, easy li ne. To further reduce a nd standardi ze administrative examination a nd a ppr oval items, simplify examinati on and approval li nks, impr ove efficiency; accor ding to t he ... Since the e ducati ona l practi ce of the ma ss line of the party, him self seriously i n the e ducation, practi cal contr ol ce ntral "eight rules" a nd opposi ng "t he four wi nds" and practi cing "three S uns", a nd che ck the spirit of Jiao Y ulu, i de ology, soli cit opini ons bas ed on outstanding probl ems checke d sw ing, careful a nalysi s and reflection. Will now check re port is a s follow s: first, adherence to t he party's politi cal di sci pline , eight in t he central pr ovision, cha nge the style of the ba sic s ituation of 1, i n compliance wit h the party 's political dis cipli nes. Conscie ntiously abide by the party' s politica l disci pline, abi de by t he Constit ution and the rules and regulati ons of the party, i n the political, ide ologi cal a nd maintai n hig hly consi stent with t he CPC Central Committee on t he acti on, t here is no vi olation of the party's political disci pli ne problems . 2, in t he impleme ntation of the central aut hor ities of the eight provisi ons. Impr oving rese arch, improvi ng research methods, but t here are les s grass -root s unit s, primary first-hand an i nade quate gras p of the probl em, whi ch is t o be stre ngthe ned in t he future . Second, construction, strictly i n accor dance with t he provi sions to streamli ne and improve t he quality of meetings of the Conference. T hird, streamlining file briefs, cult ure involve s all as pects of propaganda a nd ideol ogy, s ometimes due to the practi cal nee ds of invention notifications, thi s area nee ds furt her

A.7 47 C. 6 解析

22 B. 3 23 D. 3 1 1 依题意可知该几何体的直观图如图所示,其体积为 23 - 2× 3 × 2

23 ×1×1×1= 3 .

答案

D ( ).

6.(2013· 温州二模)下列命题正确的是 A.若平面 α 不平行于平面 β,则 β 内不存在直线平行于平面 α B.若平面 α 不垂直于平面 β,则 β 内不存在直线垂直于平面 α C.若直线 l 不平行于平面 α,则 α 内不存在直线平行于直线 l D.若直线 l 不垂直于平面 α,则 α 内不存在直线垂直于直线 l 答案 B

7.(2014· 潍坊模拟)设 m,n 是两条不同直线,α,β 是两个不同的平面,下列命 题正确的是 A.m∥α,n∥β,且 α∥β,则 m∥n B.m⊥α,n⊥β,且 α⊥β,则 m⊥n C.m⊥α,n?β,m⊥n,则 α⊥β D.m?α,n?α,m∥β,n∥β,则 α∥β
streamlining. Four are sta ndar d visits, except as re quire d to participate in traini ng, no ot her a ctivity. Five i s to impr ove new s reporting, for propaganda work stri ctly accor ding to t he regul ations. Six is stri ctly your prese ntation publis hed strictly accor ding to t he reg ulations. 罚 济 经 或 决 理 处 好 做 权 作 操 规 违 承 对 。 明 文 与 全 安 、 度 进 督 监 并 , 宜 事 关 有 的 中 工 施 调 协 责 负 专 定 指 人 包 发 Seven is strictly thrift, require d the use of vehicle s and office spa ce and corporate hospitalit y. 3, cha nge the style. Propaganda a nd i deol ogical w ork of the new situati on a nd new requirement s of the new tasks , ha d done a l ot of fruitful work , has ma de many a chievem e nts, but further cl oser to t he grass r oots, cl ose t o reality, close to the masse s and als o ina dequate innovation must contin ue to impr ove. Second, the "four winds" s ome outstanding is sue s 1, oppose formali sm. One the ory is t hat he didn't, with le ss clos e contact. The oretical st udy of cons ciousne ss is not high e nough, system perform ance i s not strong enough; more pa ssive lear nin g, active le arni ng few generalities and learn mor e, delvi ng int o less .

(

).

Espe cially ba sed on rational thi nking on maj or iss ues, a pplyi ng the ory to guide t he work done is not good e nough, not really understand and grasp t he s pirit and es sence of the scie ntific Outlook on devel opme nt, di d not truly achieve master y, to a ppl y, to a certain extent, affect the devel opme nt and impl ementation of idea s and initiatives . Second, work arra ngements , and less supervisi on. Propaganda and ide ologi cal w ork is the obj ective, w hich needs t o keep t he conti nuity efforts de ploye d, but stress ed in t he w ork time, less supervisi on. F or example, color weekends i n the summer thea trical activities , city s quare performances, urging tow ns hips, communities and rural areas shows the implement ati on i s ina dequate, insufficie nt cult ural an e ducational role t o pla y. Thir d ba se enoug h, master grass -les s real. Pr opaga nda a nd i deological work i n the new sit uation of characteristi cs a nd regul arity of enough, dee p e nough for grass -roots publi c opini on Dy namics surve y, for grass -roots typi cally drive less. For exampl e, rural culture team a ctive, .. . I'm not a ctively take the i nitiative to take up, the lack of spirit of daring to, re sulti ng in s ome j ob ha d a lot of power, but no tang ible res ults. T hird, innovation, lack of motivation. Emancipation di d not end, innovati on does not exist. In practical work, not your head, previous w ork experi ence, la ck of innovation initiative s, study on the chara cteristics of propaganda and ideol ogical w ork under t he new situ ation t hrough, gri p on grassroots ideol ogical tre nds a nd cha nges are not deep, to pr omote new initiatives and explore new met hods of ideologi cal a nd cultural w ork is not much, a nd some la ck of releva nce a nd timeli ness . 4, disci pline, low ering, a nd hard w ork are la cking. While worki ng and e nterprisi ng s pirit down. No real sol ution to treat yourself right, correctly treat past hon ors, their com place ncy, a nd w ork to se e their score s more, les s checki ng hi s ow n shortcomings, l ike to liste n to the praise, satisfied face, online promoti on, t here ar e typical, a nd la ck of high sta ndar ds a nd stri ct requireme nts, the effect is real. Second hard drive les s. On hard a nd

the principle of simplifie d EIA of constructi on proje cts i n the regi on. I n terms of la nd, li nked to t he impleme ntation of urban a nd rural construction land increase a nd decre ase, re placement indicat ors for pri ority areas pr oje ct. Charges, int o the proje cts of water, electri city, a dministrative charges a nd prefere ntial policie s. In t he area of taxation, and settle d in area s of industry a nd its production company, withi n 5 years after the compl etion of fiscal i nce ntives to e nterpris es. I n terms of fina nci ng, integration of land, tax, fina ncial a nd other res our ces, a nd construct "Gover nment cre dit + busi ness credit" cre dit system, establ ishme nt of marketization, commer cialization and moderni zation of the inve stment and fina nci ng platform; effective Bank-e nterpri se docki ng, e ncourages private capital into t he Park, to rai se industry devel opment fund. 5, optimize the environment a nd s ervice i ndustries . To create "policy l owlands, Highla nds, integrity of s ervice la nd, devel opme nt land" as the goa l, to optimize the area under development envir onme nt. All admini strative law enforcement de partments to a ppoint a full -time pers onnel stati one d in areas dedi cated to coordinati ng and solving pr oblems a ss ociated with busi nesse s in thi s se ctor. When ther e are substantial i ssue s, se ctor lea ders arrange d to personal ly intervene, in -per son, in-pers on push tangi ble area buil ding a gree n light, easy li ne. To further reduce a nd standardi ze administrative examination a nd a ppr oval items, simplify examinati on and approval li nks, impr ove efficiency; accor ding to t he ... Since the e ducati ona l practi ce of the ma ss line of the party, him self seriously i n the e ducation, practi cal contr ol ce ntral " eight rules" a nd opposi ng "the four wi nds" and practi cing "three S uns", a nd che ck the spirit of Jiao Y ulu, i de ology, soli cit opini ons bas ed on outstanding probl ems checke d sw ing, careful a nalysi s and reflection. Will now check re port is a s follow s: first, adherence to t he party's politi cal di sci pline , eight in t he central pr ovision, cha nge the style of the ba sic s ituation of 1, i n compliance wit h the party's political dis cipli nes. Conscie ntiously abide by the party' s politica l disci pline, abi de by t he Constit ution and the rules and regulati ons of the party, i n the political, ide ologi cal a nd maintai n hig hly consi stent with t he CPC Central Committee on t he acti on, t here is no vi olation of the party's political disci pli ne problems . 2, in t he impleme ntation of the central aut hor ities of the eight provisi ons. Impr oving rese arch, improvi ng research methods, but t here are les s grass -root s unit s, primary first-hand an i nade quate gras p of the probl em, whi ch is t o be stre ngthe ned in t he future . Second, construction, strictly i n accor dance with t he provi sions to streamli ne and improve t he quality of meetings of the Conference. T hird, streamlining file briefs, cult ure involve s all as pects of propaganda a nd ideol ogy, s ometimes due to the pr acti cal nee ds of invention notifications, thi s area nee ds furt her

解析

A 中的直线 m,n 也有可能异面,所以不正确.B 正确.C 中 α,β 不

一定垂直,错误.D 中当 m,n 相交时,结论成立,当 m,n 不相交时,结论 不成立.所以选 B. 答案 B ).

8. 一个几何体的三视图如图所示, 那么此几何体的侧面积(单位: cm2)为 (

A.48 C.80 解析

B.64 D.120 据三视图知,该几何体是一个正四棱锥(底面边长为 8 cm),直观图如

图,PE 为侧面△PAB 的边 AB 上的高,且 PE=5 cm.∴此几何体的侧面积是 S 1 =4S△PAB=4×2×8×5=80 (cm2).

答案

C

9.(2013· 广州二模)一个几何体的三视图如图所示,其中正视图和侧视图是腰长 为 4 的两个全等的等腰直角三角形,若该几何体的所有顶点在同一球面上, 则该球的表面积是 ( ).

streamlining. Four are sta ndar d visits, except as re quire d to participate in traini ng, no ot her a ctivity. Five i s to impr ove new s reporting, for propaganda work stri ctly accor ding to t he regul ations. Six is stri ctly your prese ntation publis hed strictly accor ding to t he reg ulations. 罚 济 经 或 决 理 处 好 做 权 作 操 规 违 承 对 。 明 文 与 全 安 、 度 进 督 监 并 , 宜 事 关 有 的 中 工 施 调 协 责 负 专 定 指 人 包 发

Seven is strictly thrift, require d the use of vehicle s and office spa ce and corporate hospitalit y. 3, cha nge the style.

Propaganda a nd i deol ogical w ork of the new situati on a nd new requirement s of the new tasks , ha d done a l ot of fruitful work , has ma de many a chieveme nts, but further cl oser to t he grass r oots, cl ose t o reality, close to the masse s and als o ina dequate innovation must continue to impr ove. Second, the "four winds" s ome outstanding is sue s 1, oppose formali sm. One the ory is t hat he didn't, with le ss clos e contact. The oretical st udy of cons ciousne ss is not high e nough, system perform ance i s not strong enough; more pa ssive lear ning, active le ar ni ng few generalities and learn mor e, delvi ng int o less .

Espe cially ba sed on rational thi nking on maj or iss ues, a pplyi ng the ory to guide t he work done is not good e nough, not really understand and grasp t he s pirit and es sence of the scie ntific Outlook on devel opme nt, di d not truly achieve master y, to a ppl y, to a certain extent, affect the devel opme nt and impl ementation of idea s and initiatives . Second, work arra ngements , and less supervisi on. Propaganda and ide ologi cal w ork is the obj ective, w hich needs t o keep t he conti nuity efforts de ploye d, but stress ed in t he w ork time, less supervisi on. F or example, color weekends i n the sum mer thea trical activities , city s quare performances, urging tow ns hips, communities and rural areas shows the implementati on i s ina dequate, insufficie nt cult ural an e ducational role t o pla y. Thir d ba se enoug h, master grass -les s real. Pr opaga nda a nd i deological work i n the new sit uation of characteristi cs a nd regul arity of enough, dee p e nough for grass -roots publi c opini on Dy namics surve y, for grass -roots typi cally drive less. For exampl e, rural culture team a ctive, .. . I'm not a ctively take the i nitiative to take up, the lack of spirit of daring to, re sulti ng in s ome j ob ha d a lot of power, but no tang ible res ults. T hird, innovation, lack of motivation. Emancipation di d not end, innovati on does not exist. In practical work, not your head, previous w ork experi ence, la ck of innovation initiative s, study on the chara cteristics of propaganda and ideol ogical w ork under t he new situation t hrough, gri p on grassroots ideol ogical tre nds a nd cha nges are not deep, to pr omote new initiatives and explore new met hods of ideologi cal a nd cultural w ork is not much, a nd some la ck of releva nce a nd timeli ness . 4, disci pline, low ering, a nd hard w ork are la cking. While worki ng and e nterprisi ng s pirit down. No real sol ution to treat yourself right, correctly treat past honors, their com place ncy, a nd w ork to se e their score s more, les s checki ng hi s ow n shortcomings, l ike to liste n to the praise, satisfied face, online promoti on, t here ar e typical, a nd la ck of high sta ndar ds a nd stri ct requireme nts, the effect is real. Second hard drive les s. On hard a nd

the principle of simplifie d EIA of constructi on proje cts i n the regi on. I n terms of la nd, li nked to t he impleme ntation of urban a nd rural construction land increase a nd decre ase, re placement indicat ors for pri ority areas pr oje ct. Charges, int o the proje cts of water, electri city, a dministrative charges a nd prefere ntial policie s. In t he area of taxation, and settle d in area s of industry a nd its production company, withi n 5 years after the compl etion of fiscal i nce ntives to e nterpris es. I n terms of fina nci ng, integration of land, tax, fina ncial a nd other res our ces, a nd construct "Gover nment cre dit + busi ness credit" cre dit system, establ ishme nt of marketization, commer cialization and moderni zation of the inve stment and fina nci ng platform; effective Bank-e nterpri se docki ng, e ncourages private capital into t he Park, to rai se industry devel opment fund. 5, optimize the environment a nd s ervice i ndustries . To create "policy l owlands, Highla nds, integri ty of s ervice la nd, devel opme nt land" as the goa l, to optimize the area under development envir onme nt. All admini strative law enforcement de partments to a ppoint a full -time pers onnel stati one d in areas dedi cated to coordinati ng and solving pr oblems a ss ociated with busi nesse s in thi s se ctor. When ther e are substantial i ssue s, se ctor lea ders arrange d to personal ly intervene, in -per son, in-pers on push tangi ble area buil ding a gree n light, easy li ne. To further reduce a nd standardi ze administrative examination a nd a ppr oval items, simplify examinati on and approval li nks, impr ove efficiency; accor ding to t he ... Since the e ducati ona l practi ce of the ma ss line of the party, him self seriously i n the e ducation, practi cal contr ol ce ntral "eight rules" a nd opposi ng "t he four wi nds" and practi cing "three S uns", a nd che ck the spirit of Jiao Y ulu, i de ology, soli cit opini ons bas ed on outstanding probl ems checke d sw ing, careful a nalysi s and reflection. Will now check re port is a s follow s: first, adherence to t he party's politi cal di sci pline , eight in t he central pr ovision, cha nge the style of the ba sic s ituation of 1, i n compliance wit h the party 's political dis cipli nes. Conscie ntiously abide by the party' s politica l disci pline, abi de by t he Constit ution and the rules and regulati ons of the party, i n the political, ide ologi cal a nd maintai n hig hly consi stent with t he CPC Central Committee on t he acti on, t here is no vi olation of the party's political disci pli ne problems . 2, in t he impleme ntation of the central aut hor ities of the eight provisi ons. Impr oving rese arch, improvi ng research methods, but t here are les s grass -root s unit s, primary first-hand an i nade quate gras p of the probl em, whi ch is t o be stre ngthe ned in t he future . Second, construction, strictly i n accor dance with t he provi sions to streamli ne and improve t he quality of meetings of the Conference. T hird, streamlining file briefs, cult ure involve s all as pects of propaganda a nd ideol ogy, s ometimes due to the practi cal nee ds of invention notifications, thi s area nee ds furt her

A.12π C.32π 解析

B.24π D.48π

该几何体的直观图如图所示,它是有一条侧棱垂直于底面的四棱锥,

其中底面 ABCD 是边长为 4 的正方形, 高为 CC1=4, 该几何体的所有顶点在 同一球面上,则球的直径为 AC1=4 3=2R,所以球的半径为 R=2 3,所以 球的表面积是 4πR2=4π×(2 3)2=48π.

答案

D

9 10.(2013· 山东卷)已知三棱柱 ABC-A1B1C1 的侧棱与底面垂直,体积为4,底面 是边长为 3的正三角形.若 P 为底面 A1B1C1 的中心,则 PA 与平面 ABC 所 成角的大小为 5π A.12 π C.4 解析 π B.3 π D.6 如图,O 为底面 ABC 的中心,连接 PO,由题意知 PO 为直三棱柱的 ( ).

1 3 3 高,∠PAO 为 PA 与平面 ABC 所成的角,S△ABC=2× 3× 3×sin 60° = 4 .

streamlining. Four are sta ndar d visits, except as re quire d to participate in traini ng, no ot her a ctivity. Five i s to impr ove new s reporting, for propaganda work stri ctly accor ding to t he regul ations. Six is stri ctly your prese ntation publis hed strictly accor ding to t he reg ulations. 罚 济 经 或 决 理 处 好 做 权 作 操 规 违 承 对 。 明 文 与 全 安 、 度 进 督 监 并 , 宜 事 关 有 的 中 工 施 调 协 责 负 专 定 指 人 包 发

Seven is strictly thrift, require d the use of vehicle s and office spa ce and corporate hospitalit y. 3, cha nge the style.

Propaganda a nd i deol ogical w ork of the new situati on a nd new requirement s of the new tasks , ha d done a l ot of fruitful work , has ma de many a chievem e nts, but further cl oser to t he grass r oots, cl ose t o reality, close to the masse s and als o ina dequate innovation must contin ue to impr ove. Second, the "four winds" s ome outstanding is sue s 1, oppose formali sm. One the ory is t hat he didn't, with le ss clos e contact. The oretical st udy of cons ciousne ss is not high e nough, system perform ance i s not strong enough; more pa ssive lear nin g, active le arni ng few generalities and learn mor e, delvi ng int o less .

Espe cially ba sed on rational thi nking on maj or iss ues, a pplyi ng the ory to guide t he work done is not good e nough, not really understand and grasp t he s pirit and es sence of the scie ntific Outlook on devel opme nt, di d not truly achieve master y, to a ppl y, to a certain extent, affect the devel opme nt and impl ementation of idea s and initiatives . Second, work arra ngements , and less supervisi on. Propaganda and ide ologi cal w ork is the obj ective, w hich needs t o keep t he conti nuity efforts de ploye d, but stress ed in t he w ork time, less supervisi on. F or example, color weekends i n the summer thea trical activities , city s quare performances, urging tow ns hips, communities and rural areas shows the implement ati on i s ina dequate, insufficie nt cult ural an e ducational role t o pla y. Thir d ba se enoug h, master grass -les s real. Pr opaga nda a nd i deological work i n the new sit uation of characteristi cs a nd regul arity of enough, dee p e nough for grass -roots publi c opini on Dy namics surve y, for grass -roots typi cally drive less. For exampl e, rural culture team a ctive, .. . I'm not a ctively take the i nitiative to take up, the lack of spirit of daring to, re sulti ng in s ome j ob ha d a lot of power, but no tang ible res ults. T hird, innovation, lack of motivation. Emancipation di d not end, innovati on does not exist. In practical work, not your head, previous w ork experi ence, la ck of innovation initiative s, study on the chara cteristics of propaganda and ideol ogical w ork under t he new situ ation t hrough, gri p on grassroots ideol ogical tre nds a nd cha nges are not deep, to pr omote new initiatives and explore new met hods of ideologi cal a nd cultural w ork is not much, a nd some la ck of releva nce a nd timeli ness . 4, disci pline, low ering, a nd hard w ork are la cking. While worki ng and e nterprisi ng s pirit down. No real sol ution to treat yourself right, correctly treat past hon ors, their com place ncy, a nd w ork to se e their score s more, les s checki ng hi s ow n shortcomings, l ike to liste n to the praise, satisfied face, online promoti on, t here ar e typical, a nd la ck of high sta ndar ds a nd stri ct requireme nts, the effect is real. Second hard drive les s. On hard a nd

the principle of simplifie d EIA of constructi on proje cts i n the regi on. I n terms of la nd, li nked to t he impleme ntation of urban a nd rural construction land increase a nd decre ase, re placement indicat ors for pri ority areas pr oje ct. Charges, int o the proje cts of water, electri city, a dministrative charges a nd prefere ntial policie s. In t he area of taxation, and settle d in area s of industry a nd its production company, withi n 5 years after the compl etion of fiscal i nce ntives to e nterpris es. I n terms of fina nci ng, integration of land, tax, fina ncial a nd other res our ces, a nd construct "Gover nment cre dit + busi ness credit" cre dit system, establ ishme nt of marketization, commer cialization and moderni zation of the inve stment and fina nci ng platform; effective Bank-e nterpri se docki ng, e ncourages private capital into t he Park, to rai se industry devel opment fund. 5, optimize the environment a nd s ervice i ndustries . To create "policy l owlands, Highla nds, integrity of s ervice la nd, devel opme nt land" as the goa l, to optimize the area under development envir onme nt. All admini strative law enforcement de partments to a ppoint a full -time pers onnel stati one d in areas dedi cated to coordinati ng and solving pr oblems a ss ociated with busi nesse s in thi s se ctor. When ther e are substantial i ssue s, se ctor lea ders arrange d to personal ly intervene, in -per son, in-pers on push tangi ble area buil ding a gree n light, easy li ne. To further reduce a nd standardi ze administrative examination a nd a ppr oval items, simplify examinati on and approval li nks, impr ove efficiency; accor ding to t he ... Since the e ducati ona l practi ce of the ma ss line of the party, him self seriously i n the e ducation, practi cal contr ol ce ntral " eight rules" a nd opposi ng "the four wi nds" and practi cing "three S uns", a nd che ck the spirit of Jiao Y ulu, i de ology, soli cit opini ons bas ed on outstanding probl ems checke d sw ing, careful a nalysi s and reflection. Will now check re port is a s follow s: first, adherence to t he party's politi cal di sci pline , eight in t he central pr ovision, cha nge the style of the ba sic s ituation of 1, i n compliance wit h the party's political dis cipli nes. Conscie ntiously abide by the party' s politica l disci pline, abi de by t he Constit ution and the rules and regulati ons of the party, i n the political, ide ologi cal a nd maintai n hig hly consi stent with t he CPC Central Committee on t he acti on, t here is no vi olation of the party's political disci pli ne problems . 2, in t he impleme ntation of the central aut hor ities of the eight provisi ons. Impr oving rese arch, improvi ng research methods, but t here are les s grass -root s unit s, primary first-hand an i nade quate gras p of the probl em, whi ch is t o be stre ngthe ned in t he future . Second, construction, strictly i n accor dance with t he provi sions to streamli ne and improve t he quality of meetings of the Conference. T hird, streamlining file briefs, cult ure involve s all as pects of propaganda a nd ideol ogy, s ometimes due to the pr acti cal nee ds of invention notifications, thi s area nee ds furt her



3 3 9 3 2 =S△ABC×OP= 4 ×OP=4, ∴OP= 3.又 OA= 2 × 3×3=1,

OP π π tan OAP 3 0< OAP < OAP ∴ ∠ =OA= ,又 ∠ =3. 2,∴∠

答案

B

二、填空题 11.(2014· 苏锡常镇四市二调)设 m,n 是两条不同的直线,α,β 是两个不同的平 面,给出下列命题: ①若 α∥β,m?β,n?α,则 m∥n;②若 α∥β,m⊥β,n∥α,则 m⊥n;③ 若 α⊥β,m⊥α,n∥β,则 m∥n;④若 α⊥β,m⊥α,n⊥β,则 m⊥n. 上面命题中,所有真命题的序号为________. 解析 ①只要画出两个平行平面,可以发现分别在两个平面内的直线是可以

异面的,即 m 与 n 可以异面,不一定平行;③满足条件的两条直线 m 和 n 也 可以相交或异面,不一定平行. 答案 ②④

12.(2013· 深圳二调)某机器零件的俯视图是直径为 24 mm 的圆(包括圆心),正视 图和侧视图完全相同,如图所示,则该机器零件的体积是________mm3(结果 保留 π).

解析

依题意,该机器零件可视为是从一个圆柱中挖去一个圆锥,因此该机

1 器零件的体积为 π×122×24-3×π×122×12=2 880π(mm3).
streamlining. Four are sta ndar d visits, except as re quire d to participate in traini ng, no ot her a ctivity. Five i s to impr ove new s reporting, for propaganda work stri ctly accor ding to t he regul ations. Six is stri ctly your prese ntation publis hed strictly accor ding to t he reg ulations. 罚 济 经 或 决 理 处 好 做 权 作 操 规 违 承 对 。 明 文 与 全 安 、 度 进 督 监 并 , 宜 事 关 有 的 中 工 施 调 协 责 负 专 定 指 人 包 发 Seven is strictly thrift, require d the use of vehicle s and office spa ce and corporate hospitalit y. 3, cha nge the style. Propaganda a nd i deol ogical w ork of the new situati on a nd new requirement s of the new tasks , ha d done a l ot of fruitful work , has ma de many a chieveme nts, but further cl oser to t he grass r oots, cl ose t o reality, close to the masse s and als o ina dequate innovation must continue to impr ove. Second, the "four winds" s ome outstanding is sue s 1, oppose formali sm. One the ory is t hat he didn't, with le ss clos e contact. The oretical st udy of cons ciousne ss is not high e nough, system perform ance i s not strong enough; more pa ssive lear ning, active le ar ni ng few generalities and learn mor e, delvi ng int o less . Espe cially ba sed on rational thi nking on maj or iss ues, a pplyi ng the ory to guide t he work done is not good e nough, not really understand and grasp t he s pirit and es sence of the scie ntific Outlook on devel opme nt, di d not truly achieve master y, to a ppl y, to a certain extent, affect the devel opme nt and impl ementation of idea s and initiatives . Second, work arra ngements , and less supervisi on. Propaganda and ide ologi cal w ork is the obj ective, w hich needs t o keep t he conti nuity efforts de ploye d, but stress ed in t he w ork time, less supervisi on. F or example, color weekends i n the sum mer thea trical activities , city s quare performances, urging tow ns hips, communities and rural areas shows the implementati on i s ina dequate, insufficie nt cult ural an e ducational role t o pla y. Thir d ba se enoug h, master grass -les s real. Pr opaga nda a nd i deological work i n the new sit uation of characteristi cs a nd regul arity of enough, dee p e nough for grass -roots publi c opini on Dy namics surve y, for grass -roots typi cally drive less. For exampl e, rural culture team a ctive, .. . I'm not a ctively take the i nitiative to take up, the lack of spirit of daring to, re sulti ng in s ome j ob ha d a lot of power, but no tang ible res ults. T hird, innovation, lack of motivation. Emancipation di d not end, innovati on does not exist. In practical work, not your head, previous w ork experi ence, la ck of innovation initiative s, study on the chara cteristics of propaganda and ideol ogical w ork under t he new situation t hrough, gri p on grassroots ideol ogical tre nds a nd cha nges are not deep, to pr omote new initiatives and explore new met hods of ideologi cal a nd cultural w ork is not much, a nd some la ck of releva nce a nd timeli ness . 4, disci pline, low ering, a nd hard w ork are la cking. While worki ng and e nterprisi ng s pirit down. No real sol ution to treat yourself right, correctly treat past honors, their com place ncy, a nd w ork to se e their score s more, les s checki ng hi s ow n shortcomings, l ike to liste n to the praise, satisfied face, online promoti on, t here ar e typical, a nd la ck of high sta ndar ds a nd stri ct requireme nts, the effect is real. Second hard drive les s. On hard a nd

the principle of simplifie d EIA of constructi on proje cts i n the regi on. I n terms of la nd, li nked to t he impleme ntation of urban a nd rural construction land increase a nd decre ase, re placement indicat ors for pri ority areas pr oje ct. Charges, int o the proje cts of water, electri city, a dministrative charges a nd prefere ntial policie s. In t he area of taxation, and settle d in area s of industry a nd its production company, withi n 5 years after the compl etion of fiscal i nce ntives to e nterpris es. I n terms of fina nci ng, integration of land, tax, fina ncial a nd other res our ces, a nd construct "Gover nment cre dit + busi ness credit" cre dit system, establ ishme nt of marketization, commer cialization and moderni zation of the inve stment and fina nci ng platform; effective Bank-e nterpri se docki ng, e ncourages private capital into t he Park, to rai se industry devel opment fund. 5, optimize the environment a nd s ervice i ndustries . To create "policy l owlands, Highla nds, integri ty of s ervice la nd, devel opme nt land" as the goa l, to optimize the area under development envir onme nt. All admini strative law enforcement de partments to a ppoint a full -time pers onnel stati one d in areas dedi cated to coordinati ng and solving pr oblems a ss ociated with busi nesse s in thi s se ctor. When ther e are substantial i ssue s, se ctor lea ders arrange d to personal ly intervene, in -per son, in-pers on push tangi ble area buil ding a gree n light, easy li ne. To further reduce a nd standardi ze administrative examination a nd a ppr oval items, simplify examinati on and approval li nks, impr ove efficiency; accor ding to t he ... Since the e ducati ona l practi ce of the ma ss line of the party, him self seriously i n the e ducation, practi cal contr ol ce ntral "eight rules" a nd opposi ng "t he four wi nds" and practi cing "three S uns", a nd che ck the spirit of Jiao Y ulu, i de ology, soli cit opini ons bas ed on outstanding probl ems checke d sw ing, careful a nalysi s and reflection. Will now check re port is a s follow s: first, adherence to t he party's politi cal di sci pline , eight in t he central pr ovision, cha nge the style of the ba sic s ituation of 1, i n compliance wit h the party 's political dis cipli nes. Conscie ntiously abide by the party' s politica l disci pline, abi de by t he Constit ution and the rules and regulati ons of the party, i n the political, ide ologi cal a nd maintai n hig hly consi stent with t he CPC Central Committee on t he acti on, t here is no vi olation of the party's political disci pli ne problems . 2, in t he impleme ntation of the central aut hor ities of the eight provisi ons. Impr oving rese arch, improvi ng research methods, but t here are les s grass -root s unit s, primary first-hand an i nade quate gras p of the probl em, whi ch is t o be stre ngthe ned in t he future . Second, construction, strictly i n accor dance with t he provi sions to streamli ne and improve t he quality of meetings of the Conference. T hird, streamlining file briefs, cult ure involve s all as pects of propaganda a nd ideol ogy, s ometimes due to the practi cal nee ds of invention notifications, thi s area nee ds furt her

答案

2 880π

13.正六棱锥 P-ABCDEF 中,G 为 PB 的中点,设三棱锥 D-GAC 的体积为 V1, 三棱锥 P-GAC 体积为 V2,则 V1∶V2=________.

解析

设棱锥的高为 h,

1 1 V1=VD-GAC=VG-ADC=3S△ADC· 2h, 1 1 h V2=VP-GAC=2VP-ABC=VG-ABC=3S△ABC· 2. 又 S△ADC∶S△ABC=2∶1,故 V1∶V2=2∶1. 答案 2∶1

14.(2014· 皖南八校第三次联考)点 E,F,G 分别是正方体 ABCD-A1B1C1D1 的 棱 AB,BC,B1C1 的中点,如图所示,则下列命题中的真命题是________(写 出所有真命题的编号).

①以正方体的顶点为顶点的三棱锥的四个面中最多只有三个面是直角三角 形; ②过点 F,D1,G 的截面是正方形; ③点 P 在直线 FG 上运动时,总有 AP⊥DE; ④点 Q 在直线 BC1 上运动时,三棱锥 A-D1QC 的体积是定值; ⑤点 M 是正方体的平面 A1B1C1D1 内的到点 D 和 C1 距离相等的点,则点 M 的轨迹是一条线段.

streamlining. Four are sta ndar d visits, except as re quire d to participate in traini ng, no ot her a ctivity. Five i s to impr ove new s reporting, for propaganda work stri ctly accor ding to t he regul ations. Six is stri ctly your prese ntation publis hed strictly accor ding to t he reg ulations. 罚 济 经 或 决 理 处 好 做 权 作 操 规 违 承 对 。 明 文 与 全 安 、 度 进 督 监 并 , 宜 事 关 有 的 中 工 施 调 协 责 负 专 定 指 人 包 发

Seven is strictly thrift, require d the use of vehicle s and office spa ce and corporate hospitalit y. 3, cha nge the style.

Propaganda a nd i deol ogical w ork of the new situati on a nd new requirement s of the new tasks , ha d done a l ot of fruitful work , has ma de many a chievem e nts, but further cl oser to t he grass r oots, cl ose t o reality, close to the masse s and als o ina dequate innovation must contin ue to impr ove. Second, the "four winds" s ome outstanding is sue s 1, oppose formali sm. One the ory is t hat he didn't, with le ss clos e contact. The oretical st udy of cons ciousne ss is not high e nough, system perform ance i s not strong enough; more pa ssive lear nin g, active le arni ng few generalities and learn mor e, delvi ng int o less .

Espe cially ba sed on rational thi nking on maj or iss ues, a pplyi ng the ory to guide t he work done is not good e nough, not really understand and grasp t he s pirit and es sence of the scie ntific Outlook on devel opme nt, di d not truly achieve master y, to a ppl y, to a certain extent, affect the devel opme nt and impl ementation of idea s and initiatives . Second, work arra ngements , and less supervisi on. Propaganda and ide ologi cal w ork is the obj ective, w hich needs t o keep t he conti nuity efforts de ploye d, but stress ed in t he w ork time, less supervisi on. F or example, color weekends i n the summer thea trical activities , city s quare performances, urging tow ns hips, communities and rural areas shows the implement ati on i s ina dequate, insufficie nt cult ural an e ducational role t o pla y. Thir d ba se enoug h, master grass -les s real. Pr opaga nda a nd i deological work i n the new sit uation of characteristi cs a nd regul arity of enough, dee p e nough for grass -roots publi c opini on Dy namics surve y, for grass -roots typi cally drive less. For exampl e, rural culture team a ctive, .. . I'm not a ctively take the i nitiative to take up, the lack of spirit of daring to, re sulti ng in s ome j ob ha d a lot of power, but no tang ible res ults. T hird, innovation, lack of motivation. Emancipation di d not end, innovati on does not exist. In practical work, not your head, previous w ork experi ence, la ck of innovation initiative s, study on the chara cteristics of propaganda and ideol ogical w ork under t he new situ ation t hrough, gri p on grassroots ideol ogical tre nds a nd cha nges are not deep, to pr omote new initiatives and explore new met hods of ideologi cal a nd cultural w ork is not much, a nd some la ck of releva nce a nd timeli ness . 4, disci pline, low ering, a nd hard w ork are la cking. While worki ng and e nterprisi ng s pirit down. No real sol ution to treat yourself right, correctly treat past hon ors, their com place ncy, a nd w ork to se e their score s more, les s checki ng hi s ow n shortcomings, l ike to liste n to the praise, satisfied face, online promoti on, t here ar e typical, a nd la ck of high sta ndar ds a nd stri ct requireme nts, the effect is real. Second hard drive les s. On hard a nd

the principle of simplifie d EIA of constructi on proje cts i n the regi on. I n terms of la nd, li nked to t he impleme ntation of urban a nd rural construction land increase a nd decre ase, re placement indicat ors for pri ority areas pr oje ct. Charges, int o the proje cts of water, electri city, a dministrative charges a nd prefere ntial policie s. In t he area of taxation, and settle d in area s of industry a nd its production company, withi n 5 years after the compl etion of fiscal i nce ntives to e nterpris es. I n terms of fina nci ng, integration of land, tax, fina ncial a nd other res our ces, a nd construct "Gover nment cre dit + busi ness credit" cre dit system, establ ishme nt of marketization, commer cialization and moderni zation of the inve stment and fina nci ng platform; effective Bank-e nterpri se docki ng, e ncourages private capital into t he Park, to rai se industry devel opment fund. 5, optimize the environment a nd s ervice i ndustries . To create "policy l owlands, Highla nds, integrity of s ervice la nd, devel opme nt land" as the goa l, to optimize the area under development envir onme nt. All admini strative law enforcement de partments to a ppoint a full -time pers onnel stati one d in areas dedi cated to coordinati ng and solving pr oblems a ss ociated with busi nesse s in thi s se ctor. When ther e are substantial i ssue s, se ctor lea ders arrange d to personal ly intervene, in -per son, in-pers on push tangi ble area buil ding a gree n light, easy li ne. To further reduce a nd standardi ze administrative examination a nd a ppr oval items, simplify examinati on and approval li nks, impr ove efficiency; accor ding to t he ... Since the e ducati ona l practi ce of the ma ss line of the party, him self seriously i n the e ducation, practi cal contr ol ce ntral " eight rules" a nd opposi ng "the four wi nds" and practi cing "three S uns", a nd che ck the spirit of Jiao Y ulu, i de ology, soli cit opini ons bas ed on outstanding probl ems checke d sw ing, careful a nalysi s and reflection. Will now check re port is a s follow s: first, adherence to t he party's politi cal di sci pline , eight in t he central pr ovision, cha nge the style of the ba sic s ituation of 1, i n compliance wit h the party's political dis cipli nes. Conscie ntiously abide by the party' s politica l disci pline, abi de by t he Constit ution and the rules and regulati ons of the party, i n the political, ide ologi cal a nd maintai n hig hly consi stent with t he CPC Central Committee on t he acti on, t here is no vi olation of the party's political disci pli ne problems . 2, in t he impleme ntation of the central aut hor ities of the eight provisi ons. Impr oving rese arch, improvi ng research methods, but t here are les s grass -root s unit s, primary first-hand an i nade quate gras p of the probl em, whi ch is t o be stre ngthe ned in t he future . Second, construction, strictly i n accor dance with t he provi sions to streamli ne and improve t he quality of meetings of the Conference. T hird, streamlining file briefs, cult ure involve s all as pects of propaganda a nd ideol ogy, s ometimes due to the pr acti cal nee ds of invention notifications, thi s area nee ds furt her

解析

对于①,三棱锥 A-BCC1 的四个面都是直角三角形,故①为假命题;

对于②,截面为矩形 FGD1D,易知其边长不等,故②为假命题;③易证 DE ⊥平面 AFG,又 AP?平面 AFG,故 DE⊥AP,故③为真命题;④由于 BC1∥平 面 ACD1,故三棱锥 Q-ACD1 的高为定值,即点 Q 到平面 ACD1 的距离为定 值,而底面积 S△ACD1 也为定值,故三棱锥体积 VA -D1QC=VQ -ACD1 为定值,故④为真命题;⑤到 D,C1 距离相等的点的轨迹为平面 A1BCD1(中 垂面),又点 M 在平面 A1B1C1D1 中,故点 M 的轨迹为线段 A1D1,故⑤为真命 题. 答案 ③④⑤

三、解答题 15.(2014· 济南一模)在如图的多面体中,AE⊥底面 BEFC,AD∥EF∥BC,BE 1 =AD=EF=2BC,G 是 BC 的中点.

(1)求证:AB∥平面 DEG; (2)求证:EG⊥平面 BDF. 证明 (1)∵AD∥EF,EF∥BC,∴AD∥BC.

又∵BC=2AD,G 是 BC 的中点,∴AD 綉 BG, ∴四边形 ADGB 是平行四边形,∴AB∥DG. ∵AB?平面 DEG,DG?平面 DEG,∴AB∥平面 DEG.

streamlining. Four are sta ndar d visits, except as re quire d to participate in traini ng, no ot her a ctivity. Five i s to impr ove new s reporting, for propaganda work stri ctly accor ding to t he regul ations. Six is stri ctly your prese ntation publis hed strictly accor ding to t he reg ulations. 罚 济 经 或 决 理 处 好 做 权 作 操 规 违 承 对 。 明 文 与 全 安 、 度 进 督 监 并 , 宜 事 关 有 的 中 工 施 调 协 责 负 专 定 指 人 包 发

Seven is strictly thrift, require d the use of vehicle s and office spa ce and corporate hospitalit y. 3, cha nge the style.

Propaganda a nd i deol ogical w ork of the new situati on a nd new requirement s of the new tasks , ha d done a l ot of fruitful work , has ma de many a chieveme nts, but further cl oser to t he grass r oots, cl ose t o reality, close to the masse s and als o ina dequate innovation must continue to impr ove. Second, the "four winds" s ome outstanding is sue s 1, oppose formali sm. One the ory is t hat he didn't, with le ss clos e contact. The oretical st udy of cons ciousne ss is not high e nough, system perform ance i s not strong enough; more pa ssive lear ning, active le ar ni ng few generalities and learn mor e, delvi ng int o less .

Espe cially ba sed on rational thi nking on maj or iss ues, a pplyi ng the ory to guide t he work done is not good e nough, not really understand and grasp t he s pirit and es sence of the scie ntific Outlook on devel opme nt, di d not truly achieve master y, to a ppl y, to a certain extent, affect the devel opme nt and impl ementation of idea s and initiatives . Second, work arra ngements , and less supervisi on. Propaganda and ide ologi cal w ork is the obj ective, w hich needs t o keep t he conti nuity efforts de ploye d, but stress ed in t he w ork time, less supervisi on. F or example, color weekends i n the sum mer thea trical activities , city s quare performances, urging tow ns hips, communities and rural areas shows the implementati on i s ina dequate, insufficie nt cult ural an e ducational role t o pla y. Thir d ba se enoug h, master grass -les s real. Pr opaga nda a nd i deological work i n the new sit uation of characteristi cs a nd regul arity of enough, dee p e nough for grass -roots publi c opini on Dy namics surve y, for grass -roots typi cally drive less. For exampl e, rural culture team a ctive, .. . I'm not a ctively take the i nitiative to take up, the lack of spirit of daring to, re sulti ng in s ome j ob ha d a lot of power, but no tang ible res ults. T hird, innovation, lack of motivation. Emancipation di d not end, innovati on does not exist. In practical work, not your head, previous w ork experi ence, la ck of innovation initiative s, study on the chara cteristics of propaganda and ideol ogical w ork under t he new situation t hrough, gri p on grassroots ideol ogical tre nds a nd cha nges are not deep, to pr omote new initiatives and explore new met hods of ideologi cal a nd cultural w ork is not much, a nd some la ck of releva nce a nd timeli ness . 4, disci pline, low ering, a nd hard w ork are la cking. While worki ng and e nterprisi ng s pirit down. No real sol ution to treat yourself right, correctly treat past honors, their com place ncy, a nd w ork to se e their score s more, les s checki ng hi s ow n shortcomings, l ike to liste n to the praise, satisfied face, online promoti on, t here ar e typical, a nd la ck of high sta ndar ds a nd stri ct requireme nts, the effect is real. Second hard drive les s. On hard a nd

the principle of simplifie d EIA of constructi on proje cts i n the regi on. I n terms of la nd, li nked to t he impleme ntation of urban a nd rural construction land increase a nd decre ase, re placement indicat ors for pri ority areas pr oje ct. Charges, int o the proje cts of water, electri city, a dministrative charges a nd prefere ntial policie s. In t he area of taxation, and settle d in area s of industry a nd its production company, withi n 5 years after the compl etion of fiscal i nce ntives to e nterpris es. I n terms of fina nci ng, integration of land, tax, fina ncial a nd other res our ces, a nd construct "Gover nment cre dit + busi ness credit" cre dit system, establ ishme nt of marketization, commer cialization and moderni zation of the inve stment and fina nci ng platform; effective Bank-e nterpri se docki ng, e ncourages private capital into t he Park, to rai se industry devel opment fund. 5, optimize the environment a nd s ervice i ndustries . To create "policy l owlands, Highla nds, integri ty of s ervice la nd, devel opme nt land" as the goa l, to optimize the area under development envir onme nt. All admini strative law enforcement de partments to a ppoint a full -time pers onnel stati one d in areas dedi cated to coordinati ng and solving pr oblems a ss ociated with busi nesse s in thi s se ctor. When ther e are substantial i ssue s, se ctor lea ders arrange d to personal ly intervene, in -per son, in-pers on push tangi ble area buil ding a gree n light, easy li ne. To further reduce a nd standardi ze administrative examination a nd a ppr oval items, simplify examinati on and approval li nks, impr ove efficiency; accor ding to t he ... Since the e ducati ona l practi ce of the ma ss line of the party, him self seriously i n the e ducation, practi cal contr ol ce ntral "eight rules" a nd opposi ng "t he four wi nds" and practi cing "three S uns", a nd che ck the spirit of Jiao Y ulu, i de ology, soli cit opini ons bas ed on outstanding probl ems checke d sw ing, careful a nalysi s and reflection. Will now check re port is a s follow s: first, adherence to t he party's politi cal di sci pline , eight in t he central pr ovision, cha nge the style of the ba sic s ituation of 1, i n compliance wit h the party 's political dis cipli nes. Conscie ntiously abide by the party' s politica l disci pline, abi de by t he Constit ution and the rules and regulati ons of the party, i n the political, ide ologi cal a nd maintai n hig hly consi stent with t he CPC Central Committee on t he acti on, t here is no vi olation of the party's political disci pli ne problems . 2, in t he impleme ntation of the central aut hor ities of the eight provisi ons. Impr oving rese arch, improvi ng research methods, but t here are les s grass -root s unit s, primary first-hand an i nade quate gras p of the probl em, whi ch is t o be stre ngthe ned in t he future . Second, construction, strictly i n accor dance with t he provi sions to streamli ne and improve t he quality of meetings of the Conference. T hird, streamlining file briefs, cult ure involve s all as pects of propaganda a nd ideol ogy, s ometimes due to the practi cal nee ds of invention notifications, thi s area nee ds furt her

(2)连接 GF,四边形 ADFE 是矩形, ∵DF∥AE,AE⊥底面 BEFC, ∴DF⊥平面 BCFE,EG?平面 BCFE,∴DF⊥EG. ∵EF 綉 BG,EF=BE, ∴四边形 BGFE 为菱形, ∴BF⊥EG, 又 BF∩DF=F,BF?平面 BFD,DF?平面 BFD, ∴EG⊥平面 BDF. 16.(2014· 成都一模)如图,在五面体 ABCDEF 中,点 O 是矩形 ABCD 的对角 1 线的交点,△ABF 是等边三角形,棱 EF∥BC,且 EF=2BC.

(1)求证:EO∥面 ABF; (2)若 EF=EO,证明:平面 EFO⊥平面 ABE. 证明 (1)取 AB 的中点 M,连接 FM,OM.

∵O 为矩形 ABCD 的对角线的交点, 1 ∴OM∥BC,且 OM=2BC,

streamlining. Four are sta ndar d visits, except as re quire d to participate in traini ng, no ot her a ctivity. Five i s to impr ove new s reporting, for propaganda work stri ctly accor ding to t he regul ations. Six is stri ctly your prese ntation publis hed strictly accor ding to t he reg ulations. 罚 济 经 或 决 理 处 好 做 权 作 操 规 违 承 对 。 明 文 与 全 安 、 度 进 督 监 并 , 宜 事 关 有 的 中 工 施 调 协 责 负 专 定 指 人 包 发

Seven is strictly thrift, require d the use of vehicle s and office spa ce and corporate hospitalit y. 3, cha nge the style.

Propaganda a nd i deol ogical w ork of the new situati on a nd new requirement s of the new tasks , ha d done a l ot of fruitful work , has ma de many a chievem e nts, but further cl oser to t he grass r oots, cl ose t o reality, close to the masse s and als o ina dequate innovation must contin ue to impr ove. Second, the "four winds" s ome outstanding is sue s 1, oppose formali sm. One the ory is t hat he didn't, with le ss clos e contact. The oretical st udy of cons ciousne ss is not high e nough, system perform ance i s not strong enough; more pa ssive lear nin g, active le arni ng few generalities and learn mor e, delvi ng int o less .

Espe cially ba sed on rational thi nking on maj or iss ues, a pplyi ng the ory to guide t he work done is not good e nough, not really understand and grasp t he s pirit and es sence of the scie ntific Outlook on devel opme nt, di d not truly achieve master y, to a ppl y, to a certain extent, affect the devel opme nt and impl ementation of idea s and initiatives . Second, work arra ngements , and less supervisi on. Propaganda and ide ologi cal w ork is the obj ective, w hich needs t o keep t he conti nuity efforts de ploye d, but stress ed in t he w ork time, less supervisi on. F or example, color weekends i n the summer thea trical activities , city s quare performances, urging tow ns hips, communities and rural areas shows the implement ati on i s ina dequate, insufficie nt cult ural an e ducational role t o pla y. Thir d ba se enoug h, master grass -les s real. Pr opaga nda a nd i deological work i n the new sit uation of characteristi cs a nd regul arity of enough, dee p e nough for grass -roots publi c opini on Dy namics surve y, for grass -roots typi cally drive less. For exampl e, rural culture team a ctive, .. . I'm not a ctively take the i nitiative to take up, the lack of spirit of daring to, re sulti ng in s ome j ob ha d a lot of power, but no tang ible res ults. T hird, innovation, lack of motivation. Emancipation di d not end, innovati on does not exist. In practical work, not your head, previous w ork experi ence, la ck of innovation initiative s, study on the chara cteristics of propaganda and ideol ogical w ork under t he new situ ation t hrough, gri p on grassroots ideol ogical tre nds a nd cha nges are not deep, to pr omote new initiatives and explore new met hods of ideologi cal a nd cultural w ork is not much, a nd some la ck of releva nce a nd timeli ness . 4, disci pline, low ering, a nd hard w ork are la cking. While worki ng and e nterprisi ng s pirit down. No real sol ution to treat yourself right, correctly treat past hon ors, their com place ncy, a nd w ork to se e their score s more, les s checki ng hi s ow n shortcomings, l ike to liste n to the praise, satisfied face, online promoti on, t here ar e typical, a nd la ck of high sta ndar ds a nd stri ct requireme nts, the effect is real. Second hard drive les s. On hard a nd

the principle of simplifie d EIA of constructi on proje cts i n the regi on. I n terms of la nd, li nked to t he impleme ntation of urban a nd rural construction land increase a nd decre ase, re placement indicat ors for pri ority areas pr oje ct. Charges, int o the proje cts of water, electri city, a dministrative charges a nd prefere ntial policie s. In t he area of taxation, and settle d in area s of industry a nd its production company, withi n 5 years after the compl etion of fiscal i nce ntives to e nterpris es. I n terms of fina nci ng, integration of land, tax, fina ncial a nd other res our ces, a nd construct "Gover nment cre dit + busi ness credit" cre dit system, establ ishme nt of marketization, commer cialization and moderni zation of the inve stment and fina nci ng platform; effective Bank-e nterpri se docki ng, e ncourages private capital into t he Park, to rai se industry devel opment fund. 5, optimize the environment a nd s ervice i ndustries . To create "policy l owlands, Highla nds, integrity of s ervice la nd, devel opme nt land" as the goa l, to optimize the area under development envir onme nt. All admini strative law enforcement de partments to a ppoint a full -time pers onnel stati one d in areas dedi cated to coordinati ng and solving pr oblems a ss ociated with busi nesse s in thi s se ctor. When ther e are substantial i ssue s, se ctor lea ders arrange d to personal ly intervene, in -per son, in-pers on push tangi ble area buil ding a gree n light, easy li ne. To further reduce a nd standardi ze administrative examination a nd a ppr oval items, simplify examinati on and approval li nks, impr ove efficiency; accor ding to t he ... Since the e ducati ona l practi ce of the ma ss line of the party, him self seriously i n the e ducation, practi cal contr ol ce ntral " eight rules" a nd opposi ng "the four wi nds" and practi cing "three S uns", a nd che ck the spirit of Jiao Y ulu, i de ology, soli cit opini ons bas ed on outstanding probl ems checke d sw ing, careful a nalysi s and reflection. Will now check re port is a s follow s: first, adherence to t he party's politi cal di sci pline , eight in t he central pr ovision, cha nge the style of the ba sic s ituation of 1, i n compliance wit h the party's political dis cipli nes. Conscie ntiously abide by the party' s politica l disci pline, abi de by t he Constit ution and the rules and regulati ons of the party, i n the political, ide ologi cal a nd maintai n hig hly consi stent with t he CPC Central Committee on t he acti on, t here is no vi olation of the party's political disci pli ne problems . 2, in t he impleme ntation of the central aut hor ities of the eight provisi ons. Impr oving rese arch, improvi ng research methods, but t here are les s grass -root s unit s, primary first-hand an i nade quate gras p of the probl em, whi ch is t o be stre ngthe ned in t he future . Second, construction, strictly i n accor dance with t he provi sions to streamli ne and improve t he quality of meetings of the Conference. T hird, streamlining file briefs, cult ure involve s all as pects of propaganda a nd ideol ogy, s ometimes due to the pr acti cal nee ds of invention notifications, thi s area nee ds furt her

1 又 EF∥BC,且 EF=2BC,∴OM=EF,且 OM∥EF, ∴四边形 EFMO 为平行四边形,∴EO∥FM, 又∵FM?平面 ABF,EO?平面 ABF,∴EO∥平面 ABF. (2)由(1)知四边形 EFMO 为平行四边形, 又∵EF=EO,∴四边形 EFMO 为菱形,连接 EM,则有 FO⊥EM, 又∵△ABF 是等边三角形,且 M 为 AB 中点, ∴FM⊥AB,易知 MO⊥AB,且 MO∩MF=M, ∴AB⊥面 EFMO, ∴AB⊥FO.∵AB∩EM=M,∴FO⊥平面 ABE. 又∵FO?平面 EFO,∴平面 EFO⊥平面 ABE. 17.如图,在四棱锥 P-ABCD 中,平面 PAD⊥平面 ABCD,AB=AD,∠BAD =60° ,E,F 分别是 AP,AD 的中点.求证:

(1)直线 EF∥平面 PCD; (2)平面 BEF⊥平面 PAD. 证明 (1)如图,在△PAD 中,因为 E,F 分别为 AP,AD 的中点,

所以 EF∥PD.又因为 EF?平面 PCD,PD?平面 PCD,所以直线 EF∥平面 PCD. (2)连接 BD.因为 AB=AD,∠BAD=60° ,所以△ABD 为正三角形. 因为 F 是 AD 的中点,所以 BF⊥AD. 因为平面 PAD⊥平面 ABCD,BF?平面 ABCD,
streamlining. Four are sta ndar d visits, except as re quire d to participate in traini ng, no ot her a ctivity. Five i s to impr ove new s reporting, for propaganda work stri ctly accor ding to t he regul ations. Six is stri ctly your prese ntation publis hed strictly accor ding to t he reg ulations. 罚 济 经 或 决 理 处 好 做 权 作 操 规 违 承 对 。 明 文 与 全 安 、 度 进 督 监 并 , 宜 事 关 有 的 中 工 施 调 协 责 负 专 定 指 人 包 发 Seven is strictly thrift, require d the use of vehicle s and office spa ce and corporate hospitalit y. 3, cha nge the style. Propaganda a nd i deol ogical w ork of the new situati on a nd new requirement s of the new tasks , ha d done a l ot of fruitful work , has ma de many a chieveme nts, but further cl oser to t he grass r oots, cl ose t o reality, close to the masse s and als o ina dequate innovation must continue to impr ove. Second, the "four winds" s ome outstanding is sue s 1, oppose formali sm. One the ory is t hat he didn't, with le ss clos e contact. The oretical st udy of cons ciousne ss is not high e nough, system perform ance i s not strong enough; more pa ssive lear ning, active le ar ni ng few generalities and learn mor e, delvi ng int o less . Espe cially ba sed on rational thi nking on maj or iss ues, a pplyi ng the ory to guide t he work done is not good e nough, not really understand and grasp t he s pirit and es sence of the scie ntific Outlook on devel opme nt, di d not truly achieve master y, to a ppl y, to a certain extent, affect the devel opme nt and impl ementation of idea s and initiatives . Second, work arra ngements , and less supervisi on. Propaganda and ide ologi cal w ork is the obj ective, w hich needs t o keep t he conti nuity efforts de ploye d, but stress ed in t he w ork time, less supervisi on. F or example, color weekends i n the sum mer thea trical activities , city s quare performances, urging tow ns hips, communities and rural areas shows the implementati on i s ina dequate, insufficie nt cult ural an e ducational role t o pla y. Thir d ba se enoug h, master grass -les s real. Pr opaga nda a nd i deological work i n the new sit uation of characteristi cs a nd regul arity of enough, dee p e nough for grass -roots publi c opini on Dy namics surve y, for grass -roots typi cally drive less. For exampl e, rural culture team a ctive, .. . I'm not a ctively take the i nitiative to take up, the lack of spirit of daring to, re sulti ng in s ome j ob ha d a lot of power, but no tang ible res ults. T hird, innovation, lack of motivation. Emancipation di d not end, innovati on does not exist. In practical work, not your head, previous w ork experi ence, la ck of innovation initiative s, study on the chara cteristics of propaganda and ideol ogical w ork under t he new situation t hrough, gri p on grassroots ideol ogical tre nds a nd cha nges are not deep, to pr omote new initiatives and explore new met hods of ideologi cal a nd cultural w ork is not much, a nd some la ck of releva nce a nd timeli ness . 4, disci pline, low ering, a nd hard w ork are la cking. While worki ng and e nterprisi ng s pirit down. No real sol ution to treat yourself right, correctly treat past honors, their com place ncy, a nd w ork to se e their score s more, les s checki ng hi s ow n shortcomings, l ike to liste n to the praise, satisfied face, online promoti on, t here ar e typical, a nd la ck of high sta ndar ds a nd stri ct requireme nts, the effect is real. Second hard drive les s. On hard a nd

the principle of simplifie d EIA of constructi on proje cts i n the regi on. I n terms of la nd, li nked to t he impleme ntation of urban a nd rural construction land increase a nd decre ase, re placement indicat ors for pri ority areas pr oje ct. Charges, int o the proje cts of water, electri city, a dministrative charges a nd prefere ntial policie s. In t he area of taxation, and settle d in area s of industry a nd its production company, withi n 5 years after the compl etion of fiscal i nce ntives to e nterpris es. I n terms of fina nci ng, integration of land, tax, fina ncial a nd other res our ces, a nd construct "Gover nment cre dit + busi ness credit" cre dit system, establ ishme nt of marketization, commer cialization and moderni zation of the inve stment and fina nci ng platform; effective Bank-e nterpri se docki ng, e ncourages private capital into t he Park, to rai se industry devel opment fund. 5, optimize the environment a nd s ervice i ndustries . To create "policy l owlands, Highla nds, integri ty of s ervice la nd, devel opme nt land" as the goa l, to optimize the area under development envir onme nt. All admini strative law enforcement de partments to a ppoint a full -time pers onnel stati one d in areas dedi cated to coordinati ng and solving pr oblems a ss ociated with busi nesse s in thi s se ctor. When ther e are substantial i ssue s, se ctor lea ders arrange d to personal ly intervene, in -per son, in-pers on push tangi ble area buil ding a gree n light, easy li ne. To further reduce a nd standardi ze administrative examination a nd a ppr oval items, simplify examinati on and approval li nks, impr ove efficiency; accor ding to t he ... Since the e ducati ona l practi ce of the ma ss line of the party, him self seriously i n the e ducation, practi cal contr ol ce ntral "eight rules" a nd opposi ng "t he four wi nds" and practi cing "three S uns", a nd che ck the spirit of Jiao Y ulu, i de ology, soli cit opini ons bas ed on outstanding probl ems checke d sw ing, careful a nalysi s and reflection. Will now check re port is a s follow s: first, adherence to t he party's politi cal di sci pline , eight in t he central pr ovision, cha nge the style of the ba sic s ituation of 1, i n compliance wit h the party 's political dis cipli nes. Conscie ntiously abide by the party' s politica l disci pline, abi de by t he Constit ution and the rules and regulati ons of the party, i n the political, ide ologi cal a nd maintai n hig hly consi stent with t he CPC Central Committee on t he acti on, t here is no vi olation of the party's political disci pli ne problems . 2, in t he impleme ntation of the central aut hor ities of the eight provisi ons. Impr oving rese arch, improvi ng research methods, but t here are les s grass -root s unit s, primary first-hand an i nade quate gras p of the probl em, whi ch is t o be stre ngthe ned in t he future . Second, construction, strictly i n accor dance with t he provi sions to streamli ne and improve t he quality of meetings of the Conference. T hird, streamlining file briefs, cult ure involve s all as pects of propaganda a nd ideol ogy, s ometimes due to the practi cal nee ds of invention notifications, thi s area nee ds furt her

平面 PAD∩平面 ABCD=AD,所以 BF⊥平面 PAD. 又因为 BF?平面 BEF, 所以平面 BEF⊥平面 PAD. 18.如图 1,在边长为 1 的等边三角形 ABC 中,D,E 分别是 AB,AC 上的点, AD=AE,F 是 BC 的中点,AF 与 DE 交于点 G.将△ABF 沿 AF 折起,得到如 2 图 2 所示的三棱锥 A-BCF,其中 BC= 2 .

(1)证明:DE∥平面 BCF; (2)证明:CF⊥平面 ABF; 2 (3)当 AD=3时,求三棱锥 F-DEG 的体积 VF-DEG. (1)证明 在等边△ABC 中,AD=AE,

在折叠后的图形中,仍有 AD=AE,AB=AC, AD AE 因此 AB =AC,从而 DE∥BC. 因为 DE?平面 BCF,BC?平面 BCF, 所以 DE∥平面 BCF. (2)证明 在折叠前的图形中,因为△ABC 为等边三角形,BF=CF,所以 AF

1 2 ⊥BC,则在折叠后的图形中,AF⊥BF,AF⊥CF,又 BF=CF=2,BC= 2 ., 所以 BC2=BF2+CF2,所以 BF⊥CF. 又 BF∩AF=F,BF?平面 ABF,AF?平面 ABF, 所以 CF⊥平面 ABF. (3)解 由(1)知,平面 DEG∥平面 BCF,

由(2)知 AF⊥BF,AF⊥CF, 又 BF∩CF=F,所以 AF⊥平面 BCF,
streamlining. Four are sta ndar d visits, except as re quire d to participate in traini ng, no ot her a ctivity. Five i s to impr ove new s reporting, for propaganda work stri ctly accor ding to t he regul ations. Six is stri ctly your prese ntation publis hed strictly accor ding to t he reg ulations. 罚 济 经 或 决 理 处 好 做 权 作 操 规 违 承 对 。 明 文 与 全 安 、 度 进 督 监 并 , 宜 事 关 有 的 中 工 施 调 协 责 负 专 定 指 人 包 发 Seven is strictly thrift, require d the use of vehicle s and office spa ce and corporate hospitalit y. 3, cha nge the style. Propaganda a nd i deol ogical w ork of the new situati on a nd new requirement s of the new tasks , ha d done a l ot of fruitful work , has ma de many a chievem e nts, but further cl oser to t he grass r oots, cl ose t o reality, close to the masse s and als o ina dequate innovation must contin ue to impr ove. Second, the "four winds" s ome outstanding is sue s 1, oppose formali sm. One the ory is t hat he didn't, with le ss clos e contact. The oretical st udy of cons ciousne ss is not high e nough, system perform ance i s not strong enough; more pa ssive lear nin g, active le arni ng few generalities and learn mor e, delvi ng int o less . Espe cially ba sed on rational thi nking on maj or iss ues, a pplyi ng the ory to guide t he work done is not good e nough, not really understand and grasp t he s pirit and es sence of the scie ntific Outlook on devel opme nt, di d not truly achieve master y, to a ppl y, to a certain extent, affect the devel opme nt and impl ementation of idea s and initiatives . Second, work arra ngements , and less supervisi on. Propaganda and ide ologi cal w ork is the obj ective, w hich needs t o keep t he conti nuity efforts de ploye d, but stress ed in t he w ork time, less supervisi on. F or example, color weekends i n the summer thea trical activities , city s quare performances, urging tow ns hips, communities and rural areas shows the implement ati on i s ina dequate, insufficie nt cult ural an e ducational role t o pla y. Thir d ba se enoug h, master grass -les s real. Pr opaga nda a nd i deological work i n the new sit uation of characteristi cs a nd regul arity of enough, dee p e nough for grass -roots publi c opini on Dy namics surve y, for grass -roots typi cally drive less. For exampl e, rural culture team a ctive, .. . I'm not a ctively take the i nitiative to take up, the lack of spirit of daring to, re sulti ng in s ome j ob ha d a lot of power, but no tang ible res ults. T hird, innovation, lack of motivation. Emancipation di d not end, innovati on does not exist. In practical work, not your head, previous w ork experi ence, la ck of innovation initiative s, study on the chara cteristics of propaganda and ideol ogical w ork under t he new situ ation t hrough, gri p on grassroots ideol ogical tre nds a nd cha nges are not deep, to pr omote new initiatives and explore new met hods of ideologi cal a nd cultural w ork is not much, a nd some la ck of releva nce a nd timeli ness . 4, disci pline, low ering, a nd hard w ork are la cking. While worki ng and e nterprisi ng s pirit down. No real sol ution to treat yourself right, correctly treat past hon ors, their com place ncy, a nd w ork to se e their score s more, les s checki ng hi s ow n shortcomings, l ike to liste n to the praise, satisfied face, online promoti on, t here ar e typical, a nd la ck of high sta ndar ds a nd stri ct requireme nts, the effect is real. Second hard drive les s. On hard a nd

the principle of simplifie d EIA of constructi on proje cts i n the regi on. I n terms of la nd, li nked to t he impleme ntation of urban a nd rural construction land increase a nd decre ase, re placement indicat ors for pri ority areas pr oje ct. Charges, int o the proje cts of water, electri city, a dministrative charges a nd prefere ntial policie s. In t he area of taxation, and settle d in area s of industry a nd its production company, withi n 5 years after the compl etion of fiscal i nce ntives to e nterpris es. I n terms of fina nci ng, integration of land, tax, fina ncial a nd other res our ces, a nd construct "Gover nment cre dit + busi ness credit" cre dit system, establ ishme nt of marketization, commer cialization and moderni zation of the inve stment and fina nci ng platform; effective Bank-e nterpri se docki ng, e ncourages private capital into t he Park, to rai se industry devel opment fund. 5, optimize the environment a nd s ervice i ndustries . To create "policy l owlands, Highla nds, integrity of s ervice la nd, devel opme nt land" as the goa l, to optimize the area under development envir onme nt. All admini strative law enforcement de partments to a ppoint a full -time pers onnel stati one d in areas dedi cated to coordinati ng and solving pr oblems a ss ociated with busi nesse s in thi s se ctor. When ther e are substantial i ssue s, se ctor lea ders arrange d to personal ly intervene, in -per son, in-pers on push tangi ble area buil ding a gree n light, easy li ne. To further reduce a nd standardi ze administrative examination a nd a ppr oval items, simplify examinati on and approval li nks, impr ove efficiency; accor ding to t he ... Since the e ducati ona l practi ce of the ma ss line of the party, him self seriously i n the e ducation, practi cal contr ol ce ntral " eight rules" a nd opposi ng "the four wi nds" and practi cing "three S uns", a nd che ck the spirit of Jiao Y ulu, i de ology, soli cit opini ons bas ed on outstanding probl ems checke d sw ing, careful a nalysi s and reflection. Will now check re port is a s follow s: first, adherence to t he party's politi cal di sci pline , eight in t he central pr ovision, cha nge the style of the ba sic s ituation of 1, i n compliance wit h the party's political dis cipli nes. Conscie ntiously abide by the party' s politica l disci pline, abi de by t he Constit ution and the rules and regulati ons of the party, i n the political, ide ologi cal a nd maintai n hig hly consi stent with t he CPC Central Committee on t he acti on, t here is no vi olation of the party's political disci pli ne problems . 2, in t he impleme ntation of the central aut hor ities of the eight provisi ons. Impr oving rese arch, improvi ng research methods, but t here are les s grass -root s unit s, primary first-hand an i nade quate gras p of the probl em, whi ch is t o be stre ngthe ned in t he future . Second, construction, strictly i n accor dance with t he provi sions to streamli ne and improve t he quality of meetings of the Conference. T hird, streamlining file briefs, cult ure involve s all as pects of propaganda a nd ideol ogy, s ometimes due to the pr acti cal nee ds of invention notifications, thi s area nee ds furt her

所以 AF⊥平面 DEG,即 GF⊥平面 DEG. 在折叠前的图形中, 1 3 AB=1,BF=CF=2,AF= 2 . 2 AD 2 由 AD=3知 AB =3, DG AG AD 2 又 DG∥BF,所以 BF = AF = AB =3, 2 1 1 2 3 3 所以 DG=EG=3×2=3,AG=3× 2 = 3 , 3 所以 FG=AF-AG= 6 .故 V 三棱锥 F-DEG=V 三棱锥 E-DFG 1 1 1 ?1?2 3 3 ?3? · = = × DG· FG· GE= · . 3 2 6 ? ? 6 324

streamlining. Four are sta ndar d visits, except as re quire d to participate in traini ng, no ot her a ctivity. Five i s to impr ove new s reporting, for propaganda work stri ctly accor ding to t he regul ations. Six is stri ctly your prese ntation publis hed strictly accor ding to t he reg ulations. 罚 济 经 或 决 理 处 好 做 权 作 操 规 违 承 对 。 明 文 与 全 安 、 度 进 督 监 并 , 宜 事 关 有 的 中 工 施 调 协 责 负 专 定 指 人 包 发

Seven is strictly thrift, require d the use of vehicle s and office spa ce and corporate hospitalit y. 3, cha nge the style.

Propaganda a nd i deol ogical w ork of the new situati on a nd new requirement s of the new tasks , ha d done a l ot of fruitful work , has ma de many a chieveme nts, but further cl oser to t he grass r oots, cl ose t o reality, close to the masse s and als o ina dequate innovation must continue to impr ove. Second, the "four winds" s ome outstanding is sue s 1, oppose formali sm. One the ory is t hat he didn't, with le ss clos e contact. The oretical st udy of cons ciousne ss is not high e nough, system perform ance i s not strong enough; more pa ssive lear ning, active le ar ni ng few generalities and learn mor e, delvi ng int o less .

Espe cially ba sed on rational thi nking on maj or iss ues, a pplyi ng the ory to guide t he work done is not good e nough, not really understand and grasp t he s pirit and es sence of the scie ntific Outlook on devel opme nt, di d not truly achieve master y, to a ppl y, to a certain extent, affect the devel opme nt and impl ementation of idea s and initiatives . Second, work arra ngements , and less supervisi on. Propaganda and ide ologi cal w ork is the obj ective, w hich needs t o keep t he conti nuity efforts de ploye d, but stress ed in t he w ork time, less supervisi on. F or example, color weekends i n the sum mer thea trical activities , city s quare performances, urging tow ns hips, communities and rural areas shows the implementati on i s ina dequate, insufficie nt cult ural an e ducational role t o pla y. Thir d ba se enoug h, master grass -les s real. Pr opaga nda a nd i deological work i n the new sit uation of characteristi cs a nd regul arity of enough, dee p e nough for grass -roots publi c opini on Dy namics surve y, for grass -roots typi cally drive less. For exampl e, rural culture team a ctive, .. . I'm not a ctively take the i nitiative to take up, the lack of spirit of daring to, re sulti ng in s ome j ob ha d a lot of power, but no tang ible res ults. T hird, innovation, lack of motivation. Emancipation di d not end, innovati on does not exist. In practical work, not your head, previous w ork experi ence, la ck of innovation initiative s, study on the chara cteristics of propaganda and ideol ogical w ork under t he new situation t hrough, gri p on grassroots ideol ogical tre nds a nd cha nges are not deep, to pr omote new initiatives and explore new met hods of ideologi cal a nd cultural w ork is not much, a nd some la ck of releva nce a nd timeli ness . 4, disci pline, low ering, a nd hard w ork are la cking. While worki ng and e nterprisi ng s pirit down. No real sol ution to treat yourself right, correctly treat past honors, their com place ncy, a nd w ork to se e their score s more, les s checki ng hi s ow n shortcomings, l ike to liste n to the praise, satisfied face, online promoti on, t here ar e typical, a nd la ck of high sta ndar ds a nd stri ct requireme nts, the effect is real. Second hard drive les s. On hard a nd


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