中南大學網(wǎng)絡教育高起專高等數(shù)學習題答案

1、1《高等數(shù)學高等數(shù)學》課程復習資料課程復習資料一、填空題：一、填空題：1.函數(shù)的定義域是______。1142????xxy2.若函數(shù)，則______。52)1(2????xxxf?)(xf3.______。sinlimxxxx????4.已知，則______，______。22lim222??????xxbaxxx?a?b5.已知，則______，______。??????)1)((lim0xaxbexx?a?b6.函數(shù)的間斷點是x?

2、______。?????????0101sin)(xxxxxxf7.設則______。??????nxxxxy???????21????1ny8.，則。2)(xxf?(()1)______ffx???9.函數(shù)的定義域為______。)1ln(4222yxyxz????10.已知則______。22)(xyyxyxyxf?????)(yxf11.設，則______，______。22)(yxxxyyxf?????)10(xf??)10(y

3、f12.設則＝______。23sincoszxyxtyt????tzdd13.______。???dxxfdddxd)(14.設是連續(xù)函數(shù)，且，則______。)(xfxdttfx???103)(?)7(f15.若，則。21de0?????xkx______k?16.設函數(shù)f(xy)連續(xù)，且滿足，其中則f(xy)????Dydyxfxyxf2)()(?:222ayxD??3A.B.C.D.2x22?x2)1(?x12?x3.設，則=[

4、]1)(??xxf)1)((?xffAxBx1Cx2Dx34.已知，其中，是常數(shù)，則[]0)1(lim2??????baxxxxabA.B.C.D.11??ba11???ba11???ba11????ba5.下列函數(shù)在指定的變化過程中，（）是無窮小量。[]A.e1xx()??B.sin()xxx??C.ln()()11??xxD.xxx???110()6.下列函數(shù)中，在給定趨勢下是無界變量且為無窮大的函數(shù)是[]A.B.C.D.)(1si

5、n???xxxy??)(1????nnyn)0(ln???xxy)0(1cos1??xxxy7.設，則在處[]????????001sin)(xxxxxxf)(xf0?xA.連續(xù)且可導B.連續(xù)但不可導C.不連續(xù)但可導D.既不連續(xù)又不可導8.曲線在點（1，0）處的切線是[]xxy??3A.B.C.D.22??xy22???xy22??xy22???xy9.已知，則=[]441xy?y??A.B.C.D.63x23xx610.若，則[]xx