高數(shù)(上90學(xué)時)測試題05

1、wd文檔可自由復(fù)制編輯高等數(shù)學(xué)自測習(xí)題一.填空題1.______.[]????????????xxxx11ln5335lim23352.已知當(dāng)時與是等價無窮小則常數(shù)______.[]0?x1)1(312??ax1cos?x?a23?3.若在上連續(xù)則______.[]??????????0012sin)(2xaxxexxfax)(?????a2?4.若在點左連續(xù)則______.[]?????????1111arctan)(xaxxxf1?

2、x?a2??5.函數(shù)的可去間斷點是________無窮間斷點是________.[]xxxy1sin1??10??xx6.，則____________.[]2lim1xxxaxb????????????0?a?b211?7.曲線有水平漸近線__________和鉛直漸近線__________.[]1ln??xxy00??xy8.若存在，則.[]??0xf?????000limhfxahfxbhh?????)()(0xfba??9.設(shè)在處

3、可導(dǎo)，則常數(shù)______，______.[]????????0cos0sin)(xxexbxaxfx0x?a??b2110.設(shè)則_________.[]2()sinfxx??()dfxdx?xx2sin11.設(shè)，當(dāng)時，____________.[]lnyx?20.01xx???dy?005.012.過曲線上點處的切線方程是__________________.[]sinyxx??(1)22???1??xy13.曲線在點處的切線方程是__

4、________________.[]2cos2???xxyy)01(022???yx14.曲線在點(01)處的法線方程為___________________.[]?????teytexttcos2sin12??yx15.函數(shù)在閉區(qū)間上滿足拉格朗日中值定理，則定理中的______.[]xyarctan?]10[??14??16.函數(shù)在區(qū)間________上單調(diào)增加.[]22)(2xxxf??]10[17.函數(shù)的單調(diào)減少區(qū)間為_____

5、_____.[]?????xdttxF1)12()()0(?x]410(18.函數(shù)在______處取極______值.[小]3234683)(xxxxf????x019.函數(shù)在區(qū)間上的最大值為______.[]xxycos2??]20[?63??20.函數(shù)的圖形的凹區(qū)間為___________.[]xyxe=)2[??wd文檔可自由復(fù)制編輯(A)(B)(C)(D).1ee2e9.函數(shù)在處間斷是因為().[C]110()10xexfxxx

6、??????????0x?(A)在處無定義(B)都不存在()fx0x?00lim()lim()xxfxfx????和(C)不存在(D).0lim()xfx?0lim()(0)xfxf??10.函數(shù)的無窮間斷點是().[D]2||ln2???xxxy(A)(B)(C)和(D)和.0?x2??x1?x2??x0?x2??x11.曲線的漸近線為().[C]xeeyxxarctan11?????(A)和(B)和0?x2??y0?x2???y(C

7、)(D).2???y2??y12.函數(shù)在處可微是在處連續(xù)的().[B]()fx0xx?()fx0xx?(A)必要非充分條件(B)充分非必要條件(C)充分必要條件(D)無關(guān)條件.13.函數(shù)在點處().[B]|1|??xy1?x(A)不連續(xù)(B)連續(xù)但不可導(dǎo)(C)可導(dǎo)(D)可微.14.設(shè)其中是有界函數(shù)則在處().[D]?????????0)(0cos1)(2xxgxxxxxf)(xg)(xf0?x(A)極限不存在(B)極限存在但不連續(xù)(C)

8、連續(xù)但不可導(dǎo)(D)可導(dǎo).15.已知，則當(dāng)時，在處是().[D]01()3fx??0x??0xx?dy(A)比高階的無窮小(B)比低階的無窮小x?x?(C)與等價的無窮小(D)與同階但非等價的無窮小.x?x?16.質(zhì)點作曲線運動，其位置與時間的關(guān)系為，，則當(dāng)時，質(zhì)點的t22xtt???2321ytt???1t?速度大小等于().[C](A)3(B)4(C)5(D)7.17.函數(shù)在上不滿足羅爾定理的條件是因為().[C]32)(xxf?]1

9、1[?(A)在上不連續(xù)(B))(xf]11[?)1()1(ff??(C)在內(nèi)不可導(dǎo)(D)以上說法都成立.)(xf)11(?18.函數(shù)，則方程有().[()(1)(2)(3)fxxxx????()0fx??B](A)一個實根(B)二個實根(C)三個實根(D)無實根.19.設(shè)常數(shù)函數(shù)在內(nèi)零點個數(shù)為().[B]0?kkexxxf???ln)()0(??(A)3(B)2(C)1(D)0.20.是函數(shù)在處取得極值的().[D]0)(0??xf)(