高中数学教学论文 从函数视角研究数列

Xiaoping theory a nd the im portant t hought of the thr ee repres ents a nd the sci entific Outlook on devel opme nt. Such cha nges were made , is conducive to impleme nting the innovation of Marxism in Chi na, es peci ally the s cientifi c concept of devel opme nt the strategic t a sk of arming the w hole party, play grass-r oots organizati ons i n pr omoting the sci entific Outlook on devel opme nt into the grass -roots l evel, and to impleme nt the important role . Thir d, how to use the contents of the new Constitution gui ding party buildi ng through studying t he ess ence of the new Constitution, the flexible application of the es sence of the Constituti on in party bu ildi ng, and I thi nk the key to gras ping the followi ng: to catch t he di sci pline , focus on strengtheni ng the party' s rules a nd reg ulations bi ndi ng. To strictly obs erve and carry out the party's political disci pli ne, ensure t he ce ntralism and unity of the whole party. Party cadre s, es pecially l eadi ng cadre s, both doers, but als o have a strong s ens e of politi cal aware nes s to dry line, li ne, not la ck of ability to w ork, become a talker; hard work isSkill , political directi on, una ble to understand whe n confus ed. Flag of the CPC Ce ntral Committee and the Committee's requirement s into D epartment's re que st, to a holisti c and concerted efforts, subje ct to the overall situati on. Se cond, cadres a nd strive t o play a n exemplary role of party members and ca dres of har dworki ng and cle an, emphasi zes lea d, shift, le d. Lea d is to a dhere to set a n example, to le ad by exampl e, deal with the relati onshi p betwe en i ndividuals a nd parties, real le ad role shift is in order t o strengthen the s ens e of responsibil ity, creati ng a fighting force; lead i s to a dhere to strict requirements , strict manageme nt and strict s upe rvision. T hree cat ch ba sis a nd strive to enhance the combat effective ness of the party orga nization. To accor ding to Constituti on on grass -roots party of requirements , to implementati on good basi c system, for members for, regardles s of party positi ons has more high, a dministrativ e terms has more bi g, any w hen are t o has Organizati on conce pt, active participate i n organization activities , cons ciously a cce pt party of supervis ion; to do ba sed sex w ork, manageme nt good members , service good members , grass-r oots party to usi ng members organizati on re ceived t urne d, and members thought re porte d, and party of Conference and dues pay, opportunities, master member s of basi c sit uation, care member s life. Four to focus and work hard to res olve. Comrades, t he above is w hat I give you guidance in the new Constituti on. H ope every Member of the party to pass t he tutor, deepen our under standi ng of the Constitution in t he party's g uidi ng ide ology a dvancing with t he times, consci ously link their ow n thinki ng and pra ctice, after caref ul study, rea d and carefully understand, thi nk, relate, apply what t hey have lear ned. Not only r uns t hroug h the mas s line of the party Constituti on to lear n the new e ducati ona l practi ce all the time, but al so to harvest as a good starting point to learn, study and work to do better in the fut ure, and strive to create a new sit uation for school educati on contri bute their

从函数视角研究数列
沪教版高二年级第一学期课本中第 6 页写道: “从函数的观点看,数列可以看成是以正整数 集(或其子集)为定义域的函数。 ”数列是一个定义在正整数集(或其子集)上的特殊函数。 从这个意义上看, 它丰富了学生所接触的函数概念的范围, 引导学生利用函数去研究数列问 题,能使解数列的问题更有新意和综合性,更能有效地培养学生的思维品质和创新意识。因 此我们在解决数列问题时, 应充分利用函数的有关知识, 以函数的概念、 图像、 性质为纽带, 架起函数与数列之间的桥梁,揭示它们之间的内在联系,从而有效地解决数列问题。 一、数列通项公式、求和公式与函数关系 通过对数列中的通项公式以及前 n 项和公式等这些特殊的函数关系的概念理解与分析, 引导 学生充分认识 , 和 n 的对应关系,从而利用概念,鼓励学生主动探究,挖掘出数列通

项公式、求和公式与函数的内在联系,使学生知识系统化,培养学生数学整体意识,用联系 发展的眼光学习数学。在教学实践过程中,通过学生的自主学习,发挥他们的主体作用,归 纳出数列通项公式、求和公式与函数对应关系如下: 数列 等差数列 等比数列 (指数型函数) 通项公式 对应函数 ( 时为一次函数)

数列 等差数列

前 n 项和公式

对应函数 ( 时为二次函数)

等比数列 (指数型函数)

我们用函数的观点揭开了数列神秘的“面纱” ,将数列的通项公式以及前 n 项和看成是关于 n 的函数,为我们解决数列有关问题提供了非常有益的启示。 例 1:等差数列 中, , 则

分析:因为

是等差数列,所以

是关于 n 的一次函数,一

次函数图像是一条直线,则(n,m),(m,n),(m+n,

)三点共线,所以利用每两点形成直

Thank you very much. ----The Constitution Party rules address t he seri es really is a qualifie d party members earlier thi s year, all party members to t he Ce ntral "series of party rules, a nd a ddre ss of the party Constituti on, be qualified party members" lear n education is a n important de cisi on. XI Jinpi ng, Secretary G eneral chaire d a Politbur o meeting i n Februar y, w ere devote d to educati onal programmes and made a n important s peech recently personally approve d specific programmes, many imp ortant instructi ons. On Apri l 6, 13t h, 15t h, the Central and aut onomous regional party Committee, the municipal party Committee held e ducational symposi um, and related matters For s pecifi c de ployment, we hel d on March 4, H ong sha n distri ct party worki ng Conference al so pr opose d to carry out thi s activity. All together this for um toda y, main purpose i s to study and impleme nt in depth Ge neral Se cretary XI Ji npi ng on "two" important instructions for learni ng educati on, st udyi ng and impleme nting the 括 包 状 现 展 发 前 目 析 分 再 后 然 性 要 必 及 普 出 引 势 优 过 通 , 用 作 的 统 系 理 管 息 信 店 药 国 我 了 究 研 先 首 文 本 Central and aut onomous region Party Committee and municipal party Committee "two" spiritual e ducation Symposi um, arrangement s for district -wide learni ng educati on. T he following, I would like to stre ss four poi nts, mainly talk about "lear ning" and "doi ng" issue, a nd strive to make pe ople re ally figure out why, w hat to learn a nd how t hey learn, what to do, how to do it, eve ntually rea che d little succe ss, is al so lea ding a le sson in party lect ure. After both leaders a nd the cadre s, regardle ss of Branch Se cretary or an ordinary party member, to impleme nt certain boundaries e ducation "g ive a Party lecture" requirement, practi ce speaking, speak m uch f anfare, innovation wa y, down t o Earth, e nsuri ng educati onal succes s. First, you know, pay special attenti on t o education and to res olutely overcome sluggis h thi nking, a nd bore dom "two" study and e ducation, poss ibly quite a few comrades, sayi ng "education e very year, alm ost every year" fool fool, I feel t hat with thi s in mind who may be many. If carrying this i dea in mi nd, w hat does that tell , how the political cons ciousness i s not str ong a nd not see t he pulse of the situati on, no, t he "Rip van Winkl e", lost or confuse d in the end do not k now w hat's goi ng on. To realize "two a" lear ning pra ctice a ctivities a nd e ducation is the e ducation of the party's mas s line, "thre e-t hree" spe cial e ducation wa s another important practice in impleme nting the requirements of strictly admini stering the party. Comrade XI Jinping poi nted out: "the depl oyment of ' doing ' educati on, i s to pr omote the i nner -party e ducation from ' criti cal few ' their expansion int o the vast number of party members, extending from the conce ntrated educati on to reg ular educati on. "After 18, Central Committee of the party must handle part y, strictly a dministeri ng the party, a nd has carrie d out the party's mass line educati on pra ctice a nd" thre e-thr ee "spe cial e ducation, but focus on the lea ding cadre s abov e the county level. T he "two" study a nd e ducation, is carried out in t he whole party and all the party members. This is impl emented stri ctly admini stering the party, a n importa nt measure to

Xiaoping theory a nd the im portant t hought of the thr ee repres ents a nd the sci entific Outlook on devel opme nt. Such cha nges were made , is conducive to impleme nting the innovatio n of Marxism in Chi na, es peci ally the s cientifi c concept of devel opme nt the strategic ta sk of arming the w hole party, play gr ass-r oots organizati ons i n pr omoting the sci entific Outlook on devel opme nt into the grass -roots l evel, and to impleme nt the important role . Thir d, how to use the contents of the new Constitution gui ding party buildi ng through studying t he ess ence of the new Constitution, the flexible application of the es sence of the Constituti on in party buildi ng, and I thi nk the key to gras ping the followi ng: to catch t he di sci pline , focus on strengtheni ng the party' s rules a nd reg ulations bi ndi ng. To strictly obs erve and carry out the party's political disci pli ne, ensure t he ce ntralism and unity of the whole party. Party cadre s, es pecially l eadi ng ca dre s, both doers, but als o have a strong s ens e of politi cal aware nes s to dry line, li ne, not la ck of ability to w ork, become a talker; hard work isSkill , political directi on, una ble to understand whe n confus ed. Flag of the CPC Ce ntral Committee and the Committee's requirement s into D epartment's re que st, to a holisti c and concerted efforts, subje ct to the overall situati on. Se co nd, cadres a nd strive t o play a n exemplary role of party members and ca dres of har dworki ng and cle an, emphasi zes lea d, shift, le d. Lea d is to a dhere to set a n example, to le ad by exampl e, deal with the relati onshi p betwe en i ndividuals a nd parties, real le a d role shift is in order t o strengthen the s ens e of responsibil ity, creati ng a fighting force; lead i s to a dhere to strict requirements , strict manageme nt and strict s upe rvision. T hree cat ch ba sis a nd strive to enhance the combat effective ness of the party orga nization. To accor ding to Constituti on on grass -roots party of requirements , to implementati on good basi c system, for members for, regardles s of party positi ons has more hig h, a dministrativ e terms has more bi g, any w hen are t o has Organizati on conce pt, active participate i n organization activities , cons ciously a cce pt party of supervis ion; to do ba sed sex w ork, manageme nt good mem bers , service good members , grass-r oots party to usi ng members organizati on re ceived t urne d, and members thought re porte d, and part y of Conference and dues pay, opportunities, master member s of basi c sit uation, care member s life. Four to focus and work hard to res olve. Comrades, t he above is w hat I give you guidance in the new Constituti on. H ope every Member of the party to pass t he tutor, deepen our under standi ng of the Constitution in t he party's g uidi ng ide ology a dvancing with t he times, consci ously link their ow n thinki ng and pra ctice, after caref ul study, rea d and carefully understand, thi nk, relate, apply what t hey have lear ned. Not only r uns t hroug h the mas s line of the party Constituti on to lear n the new e ducati ona l practi ce all the time, but al so to harvest as a good starting point to learn, study and work to do better in the fut ure, and strive to create a new sit uation for sc hool educati on contri bute their

线斜率相等,即

,得

=0(图像如下) ,这里利用等差数列通项公

式与一次函数的对应关系,并结合图像,直观、简洁。

例 2:等差数列 为何值时 最大?

中,

,前 n 项和为

,若

,n

分析:等差数列前 n 项和

可以看成关于 n 的二次函数

=

, ,则因为欲求

是抛物线

=

上的离散点,根据题意,

最大值,故其对应二次函数图像开口向下,并且对称轴为

,即当

时,

最大。

例 3:等差数列 集合{(n,an)|

和等比数列

首项均为 1,且公差不等于 1,公比

,则

}一定含有元素

分析:等差数列 必过 (1, 1) 的一条直线, 而等比数列 它表示指数函数 含有元素(1,1) 。

,由于首项为 1,即 首项为 1, 公比为 q,

,所以它的图像是 , 故 ,

图像向右平移一个单位得到,必过(1,1) ,所以此集合中必定

二、构建函数,揭示数列本质 新课程倡导学生积极主动、勇于探索的学习方法。而学会构建函数,一方面体现了学生在学
Thank you very much. ----T he Constit ution Party rules a ddre ss the series really i s a qua lified party members earlier this yea r, all party members to the Central "serie s of party rules , and addre ss of the party Constituti on, be qualified party members" learn e ducation i s an important decisi on. XI Jinpi ng, Secretary Ge nera l chaire d a Polit buro meeti ng in Febr uary, were dev oted to e ducational programmes a nd made a n important speech rece ntly pers onally approved spe cific pr ogrammes, many importa nt instructions. On A pril 6, 13t h, 15t h, the Central and aut onomous regional party Committee, the muni cipal party Committee hel d educati onal sym posi um, and related matters For s pecific deployment, w e hel d on March 4, Hongs han district party w orking Confere nce al so propose d to carry out thi s activity. All together t his forum today, main pur pose is to st udy a nd impleme nt in depth General Secretary XI Jinping on "two" important instr ucti ons for lear ning e ducation, stu dying a nd impleme nting the 括 包 状 现 展 发 前 目 析 分 再 后 然 性 要 必 及 普 出 引 势 优 过 通 , 用 作 的 统 系 理 管 息 信 店 药 国 我 了 究 研 先 首 文 本 Central and aut onom ous region Party Committee and muni cipa l party Committee "two" spiritual e ducati on Symposi um, arrangements for district -wide l earni ng education. T he followi ng, I w oul d like to stres s four points, mai nly talk about "learni ng" and "doing" iss ue, a nd strive to make people re ally figure out why, w hat to learn a nd how they learn, w hat to do, how to do it, event ually reached little s ucces s, is als o leadi ng a les son in party le cture. After both leaders and the cadres, regar dles s of Bra nch Se cretary or a n ordi nary party membe r, to impl ement certai n boundarie s education "give a Party lecture" requirement, practice spe aking, speak much fanfare, i nnovation wa y, down to Eart h, ensuri ng educati onal s ucces s. First, you know, pay spe cial attenti on to e ducation a nd t o resol utely overcome sl uggish t hinki ng, and boredom "two" study and educati on, possi bly quite a few comrades, saying "educati on every yea r, almost every year" fool fool, I feel that with t his in mi nd w ho may be many. If carrying this i dea in mi nd, w hat does that tell, how the political consci ousnes s is not strong a nd not se e the pulse of the situation, no, t he "Rip van Winkl e", lost or conf used i n the e nd do not know what' s going on. To realiz e "two a" learning pract i ce activitie s and e ducation is the e ducation of the party's mass line, "three -three" s pecial e ducation was a nother important practice in impl ementing the requirements of strictly administeri ng the party. Comrade XI Jinping pointe d out: "the de ployme nt of ' doi ng ' education, is to promote the inner-party education from ' critical few ' their expa nsion i nto the vast number of party members, extending from the conce ntrated educati on to reg ular educati on. "After 18, Ce ntral Committee of the party must ha ndl e party, strictly administering the party, a nd has carried out the party's mass li ne educati on pra ctice a nd" three -thre e "spe cial educa tion, but focus on the lea ding cadres a bove t he county level . The "two" st udy and educati on, i s carrie d out i n the

whole party and all the party members. This is impl emented stri ctly admini stering the party, a n importa nt measure to

2

Xiaoping theory a nd the im portant t hought of the thr ee repres ents a nd the sci entific Outlook on devel opme nt. Such cha nges were made , is conducive to impleme nting the innovation of Marxism in Chi na, es peci ally the s cientifi c concept of devel opme nt the strategic ta sk of arming the w hole party, play grass-r oots organizati ons i n pr omoting the sci entific Outlook on devel opme nt into the grass -roots l evel, and to impleme nt the important role . Thir d, how to use the contents of the new Constitution gui ding party buildi ng through studying t he ess ence of the new Constitution, the flexible application of the es sence of the Constituti on in party buildi ng, and I thi nk the key to gras ping the followi ng: to catch t he di sci pline , focus on strengtheni ng the party' s rules a nd reg ulations bi ndi ng. To strictly obs erve and carry out the party's political disci pli ne, ensure t he ce ntralism and unity of the whole party. Party cadre s, es pecially l eadi ng cadre s, both doers, but als o have a strong s ens e of politi cal aware nes s to dry line, li ne, not la ck of ability to w ork, become a talker; hard work isSkill , political directi on, una ble to understand whe n confus ed. Flag of the CPC Ce ntral Committee and the Committee's requirement s into D epartment's re que st, to a holisti c and concerted efforts, subje ct to the overall situati on. Se cond, cadres a nd strive t o play a n exemplary role of party members and ca dres of har dworki ng and cle an, emphasi zes lea d, shift, le d. Lea d is to a dhere to set a n example, to le ad by exampl e, deal with the relati onshi p betwe en i ndividuals a nd parties, real le ad role shift is in order t o strengthen the s ens e of responsibil ity, creati ng a fighting force; lead i s to a dhere to strict requirements , strict manageme nt and strict s upe rvision. T hree cat ch ba sis a nd strive to enhance the combat effective ness of the party orga nization. To accor ding to Constituti on on g rass -roots party of requirements , to implementati on good basi c system, for members for, regardles s of party positi ons has more hig h, a dministrativ e terms has more bi g, any w hen are t o has Organizati on conce pt, active participate i n organization activities , cons ciously a cce pt party of supervis ion; to do ba sed sex w ork, manageme nt good members , service good members , grass-r oots party to usi ng members organizati on re ceived t urne d, and members thought re porte d, and party of Conference and dues pay, opportunities, master member s of basi c sit uation, care member s life. Four to focus and work hard to res olve. Comrades, t he above is w hat I give you guidance in the new Constituti on. H ope every Member of the party to pass t he tutor, deepen our under standi ng of the Constitution in t he party's g uidi ng ide ology a dvancing with t he times, consci ously link their ow n thinki ng and pra ctice, after caref ul study, rea d and carefully understand, thi nk, relate, apply what t hey have lear ned. Not only r uns t hroug h the mas s line of the party Constituti on to lear n the new e ducati ona l practi ce all the time, but al so to harvest as a good starting point to learn, study and work to do better in the fut ure, and strive to create a new sit uation for school educati on contri bute their

习过程中的体验、思考与参与,另一方面也培养了学生的思维品质和创新意识。在构建函数 之后,我们需要利用函数的概念和性质来解决问题。函数基本性质包括了奇偶性、单调性、 周期性,最值性等等。在数列学习中渗透函数思想,不仅可以进一步巩固函数知识,而且可 以拓宽学生解决数列问题的视野。 1、构造具体函数,成功“转化” 例 4:递增数列 分析: 即 则只需求出 。 ,对任意正整数 n, 递增得到: 对一切 有最大值 恒成立,求 对于一切 恒成立, 设 ,所以 恒成立, , 的取值范围是:

构造一次函数,由数列 恒成立, 所以

的最大值即可,显然

构造二次函数, 域是 ,因为是递增数列,即函数

看成函数

,它的定义 为递增函数,单调增区

间为

,抛物线对称轴

,因为函数 f(x)为离散函数,要函数单调递增,就看动

轴与已知区间的位置。从对应图像上看,对称轴



的左侧也可以(如图) ,

因为此时 B 点比 A 点高。于是,

,得

例 5:数列通项

,前 30 项中最大项和最小项分别是(C)

A

B

C

D

Thank you very much. ----T he Constit ution Party rules a ddre ss the series really i s a qua lified party members earlier this yea r, all party members to t he Central "serie s of party rules , and addre ss of the party Constituti on, be qualified party members" learn e ducation i s an important decisi on. XI Jinpi ng, Secretary Ge neral chaire d a Polit buro meeti ng in Febr uary, were dev oted to e ducational programmes a nd made a n important speech rece ntly pers onally approved spe cific pr ogrammes, many importa nt instructions. On A pril 6, 13t h, 15t h, the Central and aut onomous regional party C ommittee, the muni cipal party Committee hel d educati onal sym posi um, and related matters For s pecific deployment, w e hel d on March 4, Hongs han district party w orking Confere nce al so propose d to carry out thi s activity. All together t his forum today, main pur pose is to st udy a nd impleme nt in depth General Secretary XI Jinping on "two" important instr ucti ons for lear ning e ducation, studying a nd impleme nting the 括 包 状 现 展 发 前 目 析 分 再 后 然 性 要 必 及 普 出 引 势 优 过 通 , 用 作 的 统 系 理 管 息 信 店 药 国 我 了 究 研 先 首 文 本 Central and aut onom ous region Party Committee and muni cipa l party Committee "two" spiritual e ducati on Symposi um, arrangements for district -wide l earni ng education. T he followi ng, I w oul d like to stres s four points, mai nly talk about "learni ng" and "doing" iss ue, a nd strive to make people re ally figure out why, w hat to learn a nd how they learn, w hat to do, how to do it, event ually reached little s ucces s, is als o leadi ng a les son in party le cture. After both leaders and the cadres, regar dles s of Bra nch Se cretary or a n ordi nary party membe r, to impl ement certai n boundarie s education "give a Party lecture" r equirement, practice spe aking, speak much fanfare, i nnovation wa y, down to Eart h, ensuri ng educati onal s ucces s. First, you kn ow, pay spe cial attenti on to e ducation a nd t o resol utely overcome sl uggish t hinki ng, and boredom "two" study and educati on, possi bl y quite a few comrades, saying "educati on every yea r, almost every year" fool fool, I feel that with t his in mi nd w ho may be many. If carrying this i dea in mi nd, w hat does that tell, how the political consci ousnes s is not strong a nd not se e the pulse of the situation, no, t he "Rip van Winkl e", lost or conf used i n the e nd do not know what' s going on. To realiz e "two a" learning practi ce activitie s and e ducation is the e ducation of the party's mass line, "three -three" s pecial e ducation was a nother important practice in impl ementing the requirements of strictly administeri ng the party. Comrade XI Jinping pointe d out: "the de ployme nt of ' doi ng ' education, is to promote the inner-party education from ' critical few ' their expa nsion i nto the vast number of party members, extending from the conce ntrated educati on to reg ular educati on. "After 18, Ce ntral Committee of the party must ha ndl e party, strictly administering the party, a nd has carried out the party's mass li ne educati on pra ctice a nd" three -thre e "spe cial educa tion, but focus on the lea ding cadres a bove t he county level . The "two" st udy and educati on, i s carrie d out i n the

whole party and all the party members. This is impl emented stri ctly admini stering the party, a n importa nt measure to

3

Xiaoping theory a nd the im portant t hought of the thr ee repres ents a nd the sci entific Outlook on devel opme nt. Such cha nges were made , is conducive to impleme nting the innovatio n of Marxism in Chi na, es peci ally the s cientifi c concept of devel opme nt the strategic ta sk of arming the w hole party, play gr ass-r oots organizati ons i n pr omoting the sci entific Outlook on devel opme nt into the grass -roots l evel, and to impleme nt the important role . Thir d, how to use the contents of the new Constitution gui ding party buildi ng through studying t he ess ence of the new Constitution, the flexible application of the es sence of the Constituti on in party buildi ng, and I thi nk the key to gras ping the followi ng: to catch t he di sci pline , focus on strengtheni ng the party' s rules a nd reg ulations bi ndi ng. To strictly obs erve and carry out the party's political disci pli ne, ensure t he ce ntralism and unity of the whole party. Party cadre s, es pecially l eadi ng ca dre s, both doers, but als o have a strong s ens e of politi cal aware nes s to dry line, li ne, not la ck of ability to w ork, become a talker; hard work isSkill , political directi on, una ble to understand whe n confus ed. Flag of the CPC Ce ntral Committee and the Committee's requirement s into D epartment's re que st, to a holisti c and concerted efforts, subje ct to the overall situati on. Se co nd, cadres a nd strive t o play a n exemplary role of party members and ca dres of har dworki ng and cle an, emphasi zes lea d, shift, le d. Lea d is to a dhere to set a n example, to le ad by exampl e, deal with the relati onshi p betwe en i ndividuals a nd parties, real le a d role shift is in order t o strengthen the s ens e of responsibil ity, creati ng a fighting force; lead i s to a dhere to strict requirements , strict manageme nt and strict s upe rvision. T hree cat ch ba sis a nd strive to enhance the combat effective ness of the party orga nization. To accor ding to Constituti on on grass -roots party of requirements , to implementati on good basi c system, for members for, regardles s of party positi ons has more hig h, a dministrativ e terms has more bi g, any w hen are t o has Organizati on conce pt, active participate i n organization activities , cons ciously a cce pt party of supervis ion; to do ba sed sex w ork, manageme nt good mem bers , service good members , grass-r oots party to usi ng members organizati on re ceived t urne d, and members thought re porte d, and part y of Conference and dues pay, opportunities, master member s of basi c sit uation, care member s life. Four to focus and work hard to res olve. Comrades, t he above is w hat I give you guidance in the new Constituti on. H ope every Member of the party to pass t he tutor, deepen our under standi ng of the Constitution in t he party's g uidi ng ide ology a dvancing with t he times, consci ously link their ow n thinki ng and pra ctice, after caref ul study, rea d and carefully understand, thi nk, relate, apply what t hey have lear ned. Not only r uns t hroug h the mas s line of the party Constituti on to lear n the new e ducati ona l practi ce all the time, but al so to harvest as a good starting point to learn, study and work to do better in the fut ure, and strive to create a new sit uation for sc hool educati on contri bute their

分析:构造特殊函数,将数列通项整理, “脱去外衣” (分离常数) ,得

.

该函数图象是经过坐标轴平移后的反比例函数图像 数图像特点,判断出答案应选(C). 2、构造抽象函数,成功“突围” 例 6:已知数列 满足 , ,则

(如图) 。根据函

分析:因为不清楚数列的具体类型,所以仅仅利用数列的知识不容易解决,而此时我们从函 数视角去考虑,就容易联想到函数的周期性。 令 那么函数 ①+②,得 12 …+ 所 + 以 = = = …+ = … … ……= =0 … … ,则 满足 ,则 ①, 则 ,即函数 ②, 周期为

3、数列应用题中构造函数,成功“解决” 数列知识本身就是来源于实际问题,又被广泛应用于实际问题,带有情境的数列问题,不仅 可以考察学生的综合能力,而且可以考察学生解决实际问题的能力。 例 6:在一次人才招聘会上,A、B 两家公司分别开出它们的工资标准:A 公司允诺第一年月 工资为 1500 元,以后每年月工资比上一年月工资增加 230 元;B 公司允诺第一年月工资为 2000 元, 以后每年月工资在上一年的基础上递增 5%。 设某人年初被 A, B 两家公司同时录用, 试问:该人在 A 公司工作比在 B 公司工作的月工资最多时可高出多少元(精确到 1 元)? 分析:由题意可知,此人在 A、B 两公司工作的第 n 年月工资数分别为

其中 问题是该人在 A 公司比在 B 公司工资每月高出部分的最大值 故需要比较 可设 所以问题转化为研究函数 最大值 和

Thank you very much. ----T he Constit ution Party rules a ddre ss the series really i s a qua lified party members earlier this yea r, all party members to the Central "serie s of party rules , and addre ss of the party Constituti on, be qualified party members" learn e ducation i s an important decisi on. XI Jinpi ng, Secretary Ge nera l chaire d a Polit buro meeti ng in Febr uary, were dev oted to e ducational programmes a nd made a n important speech rece ntly pers onally approved spe cific pr ogrammes, many importa nt instructions. On A pril 6, 13t h, 15t h, the Central and aut onomous regional party Committee, the muni cipal party Committee hel d educati onal sym posi um, and related matters For s pecific deployment, w e hel d on March 4, Hongs han district party w orking Confere nce al so propose d to carry out thi s activity. All together t his forum today, main pur pose is to st udy a nd impleme nt in depth General Secretary XI Jinping on "two" important instr ucti ons for lear ning e ducation, stu dying a nd impleme nting the 括 包 状 现 展 发 前 目 析 分 再 后 然 性 要 必 及 普 出 引 势 优 过 通 , 用 作 的 统 系 理 管 息 信 店 药 国 我 了 究 研 先 首 文 本 Central and aut onom ous region Party Committee and muni cipa l party Committee "two" spiritual e ducati on Symposi um, arrangements for district -wide l earni ng education. T he followi ng, I w oul d like to stres s four points, mai nly talk about "learni ng" and "doing" iss ue, a nd strive to make people re ally figure out why, w hat to learn a nd how they learn, w hat to do, how to do it, event ually reached little s ucces s, is als o leadi ng a les son in party le cture. After both leaders and the cadres, regar dles s of Bra nch Se cretary or a n ordi nary party membe r, to impl ement certai n boundarie s education "give a Party lecture" requirement, practice spe aking, speak much fanfare, i nnovation wa y, down to Eart h, ensuri ng educati onal s ucces s. First, you know, pay spe cial attenti on to e ducation a nd t o resol utely overcome sl uggish t hinki ng, and boredom "two" study and educati on, possi bly quite a few comrades, saying "educati on every yea r, almost every year" fool fool, I feel that with t his in mi nd w ho may be many. If carrying this i dea in mi nd, w hat does that tell, how the political consci ousnes s is not strong a nd not se e the pulse of the situation, no, t he "Rip van Winkl e", lost or conf used i n the e nd do not know what' s going on. To realiz e "two a" learning pract i ce activitie s and e ducation is the e ducation of the party's mass line, "three -three" s pecial e ducation was a nother important practice in impl ementing the requirements of strictly administeri ng the party. Comrade XI Jinping pointe d out: "the de ployme nt of ' doi ng ' education, is to promote the inner-party education from ' critical few ' their expa nsion i nto the vast number of party members, extending from the conce ntrated educati on to reg ular educati on. "After 18, Ce ntral Committee of the party must ha ndl e party, strictly administering the party, a nd has carried out the party's mass li ne educati on pra ctice a nd" three -thre e "spe cial educa tion, but focus on the lea ding cadres a bove t he county level . The "two" st udy and educati on, i s carrie d out i n the

whole party and all the party members. This is impl emented stri ctly admini stering the party, a n importa nt measure to

4

Xiaoping theory a nd the im portant t hought of the thr ee repres ents a nd the sci entific Outlook on devel opme nt. Such cha nges were made , is conducive to impleme nting the innovation of Marxism in Chi na, es peci ally the s cientifi c concept of devel opme nt the strategic ta sk of arming the w hole party, play grass-r oots organizati ons i n pr omoting the sci entific Outlook on devel opme nt into the grass -roots l evel, and to impleme nt the important role . Thir d, how to use the contents of the new Constitution gui ding party buildi ng through studying t he ess ence of the new Constitution, the flexible application of the es sence of the Constituti on in party buildi ng, and I thi nk the key to gras ping the followi ng: to catch t he di sci pline , focus on strengtheni ng the party' s rules a nd reg ulations bi ndi ng. To strictly obs erve and carry out the party's political disci pli ne, ensure t he ce ntralism and unity of the whole party. Party cadre s, es pecially l eadi ng cadre s, both doers, but als o have a strong s ens e of politi cal aware nes s to dry line, li ne, not la ck of ability to w ork, become a talker; hard work isSkill , political directi on, una ble to understand whe n confus ed. Flag of the CPC Ce ntral Committee and the Committee's requirement s into D epartment's re que st, to a holisti c and concerted efforts, subje ct to the overall situati on. Se cond, cadres a nd strive t o play a n exemplary role of party members and ca dres of har dworki ng and cle an, emphasi zes lea d, shift, le d. Lea d is to a dhere to set a n example, to le ad by exampl e, deal with the relati onshi p betwe en i ndividuals a nd parties, real le ad role shift is in order t o strengthen the s ens e of responsibil ity, creati ng a fighting force; lead i s to a dhere to strict requirements , strict manageme nt and strict s upe rvision. T hree cat ch ba sis a nd strive to enhance the combat effective ness of the party orga nization. To accor ding to Constituti on on g rass -roots party of requirements , to implementati on good basi c system, for members for, regardles s of party positi ons has more hig h, a dministrativ e terms has more bi g, any w hen are t o has Organizati on conce pt, active participate i n organization activities , cons ciously a cce pt party of supervis ion; to do ba sed sex w ork, manageme nt good members , service good members , grass-r oots party to usi ng members organizati on re ceived t urne d, and members thought re porte d, and party of Conference and dues pay, opportunities, master member s of basi c sit uation, care member s life. Four to focus and work hard to res olve. Comrades, t he above is w hat I give you guidance in the new Constituti on. H ope every Member of the party to pass t he tutor, deepen our under standi ng of the Constitution in t he party's g uidi ng ide ology a dvancing with t he times, consci ously link their ow n thinki ng and pra ctice, after caref ul study, rea d and carefully understand, thi nk, relate, apply what t hey have lear ned. Not only r uns t hroug h the mas s line of the party Constituti on to lear n the new e ducati ona l practi ce all the time, but al so to harvest as a good starting point to learn, study and work to do better in the fut ure, and strive to create a new sit uation for school educati on contri bute their

因为当



即 所以当 有最大值 时, 单调递增,而当 时, 单调递减,因而当 时,

(计算器算出) 。

故此人在 A 公司工作比在 B 公司工作的月工资最多时可高出 827 元。 通过对以上实例的研究和分析,笔者发现,数列作为离散函数的典型代表之一,不仅在高中 数学中具有重要位置, 而且, 在现实生活中有着非常广泛的作用。 因此, 在教学实践过程中, 教师应创设恰当的情境, 让学生在这个情境中自觉领会和发现知识的形成过程, 在感悟的过 程中深刻体会其蕴含的数学思想和方法, 理解用函数思想解决数列问题的本质。 当学生理解 并掌握之后, 往往能诱发知识的迁移, 使学生产生举一反三、 融会贯通的解决多种数列问题。 同时,我们的学生的知识网络能够得以不断优化与完善,思维丰富并发散,对知识的掌握与 运用能够驾轻就熟。

Thank you very much. ----T he Constit ution Party rules a ddre ss the series really i s a qua lified party members earlier this yea r, all party members to t he Central "serie s of party rules , and addre ss of the party Constituti on, be qualified party members" learn e ducation i s an important decisi on. XI Jinpi ng, Secretary Ge neral chaire d a Polit buro meeti ng in Febr uary, were dev oted to e ducational programmes a nd made a n important speech rece ntly pers onally approved spe cific pr ogrammes, many importa nt instructions. On A pril 6, 13t h, 15t h, the Central and aut onomous regional party C ommittee, the muni cipal party Committee hel d educati onal sym posi um, and related matters For s pecific deployment, w e hel d on March 4, Hongs han district party w orking Confere nce al so propose d to carry out thi s activity. All together t his forum today, main pur pose is to st udy a nd impleme nt in depth General Secretary XI Jinping on "two" important instr ucti ons for lear ning e ducation, studying a nd impleme nting the 括 包 状 现 展 发 前 目 析 分 再 后 然 性 要 必 及 普 出 引 势 优 过 通 , 用 作 的 统 系 理 管 息 信 店 药 国 我 了 究 研 先 首 文 本 Central and aut onom ous region Party Committee and muni cipa l party Committee "two" spiritual e ducati on Symposi um, arrangements for district -wide l earni ng education. T he followi ng, I w oul d like to stres s four points, mai nly talk about "learni ng" and "doing" iss ue, a nd strive to make people re ally figure out why, w hat to learn a nd how they learn, w hat to do, how to do it, event ually reached little s ucces s, is als o leadi ng a les son in party le cture. After both leaders and the cadres, regar dles s of Bra nch Se cretary or a n ordi nary party membe r, to impl ement certai n boundarie s education "give a Party lecture" r equirement, practice spe aking, speak much fanfare, i nnovation wa y, down to Eart h, ensuri ng educati onal s ucces s. First, you kn ow, pay spe cial attenti on to e ducation a nd t o resol utely overcome sl uggish t hinki ng, and boredom "two" study and educati on, possi bl y quite a few comrades, saying "educati on every yea r, almost every year" fool fool, I feel that with t his in mi nd w ho may be many. If carrying this i dea in mi nd, w hat does that tell, how the political consci ousnes s is not strong a nd not se e the pulse of the situation, no, t he "Rip van Winkl e", lost or conf used i n the e nd do not know what' s going on. To realiz e "two a" learning practi ce activitie s and e ducation is the e ducation of the party's mass line, "three -three" s pecial e ducation was a nother important practice in impl ementing the requirements of strictly administeri ng the party. Comrade XI Jinping pointe d out: "the de ployme nt of ' doi ng ' education, is to promote the inner-party education from ' critical few ' their expa nsion i nto the vast number of party members, extending from the conce ntrated educati on to reg ular educati on. "After 18, Ce ntral Committee of the party must ha ndl e party, strictly administering the party, a nd has carried out the party's mass li ne educati on pra ctice a nd" three -thre e "spe cial educa tion, but focus on the lea ding cadres a bove t he county level . The "two" st udy and educati on, i s carrie d out i n the

whole party and all the party members. This is impl emented stri ctly admini stering the party, a n importa nt measure to

5


相关文档

高中物理教学论文 让物理课堂充满探究气息
高中化学论文教学设计:探究氯气与水反应
高中数学314空间向量的正交分解及其坐标表示课件新人教A版选修2-.ppt
高中数学第二章空间向量与立体几何2.1从平面向量到空间向量课后训练案巩固提升含解析北师大版选
高中数学3-1-4空间向量的正交分解及其坐标表示课件新人教A版选修2-1
如何撰写高质量的流行病学研究论文第一讲__观察性流行病学研究报告规范——STROBE介绍1
高中生物课题2土壤中分解尿素的细菌的分离与记数养课件新人教版选修1
高中物理第十五章相对论简介第1_2节相对论的诞生时间和空间的相对性课件新人教版选修
高中政治科学发展观和小康社会的经济建设课件新人教版必修.ppt
电脑版