高等數(shù)學基礎(chǔ)形成性考核冊及答案

1、高等數(shù)學基礎(chǔ)第一次作業(yè)第1章函數(shù)第2章極限與連續(xù)（一）單項選擇題⒈下列各函數(shù)對中，（C）中的兩個函數(shù)相等A.，B.，2)()(xxf?xxg?)(2)(xxf?xxg?)(C.，D.，3ln)(xxf?xxgln3)(?1)(??xxf11)(2???xxxg⒉設(shè)函數(shù)的定義域為，則函數(shù)的圖形關(guān)于（C）對稱)(xf)(????)()(xfxf??A.坐標原點B.軸xC.軸D.yxy?⒊下列函數(shù)中為奇函數(shù)是（B）A.B.)1ln(2xy??

2、xxycos?C.D.2xxaay???)1ln(xy??⒋下列函數(shù)中為基本初等函數(shù)是（C）A.B.1??xyxy??C.D.2xy????????0101xxy⒌下列極限存計算不正確的是（D）A.B.12lim22????xxx0)1ln(lim0???xxC.D.0sinlim???xxx01sinlim???xxx⒍當時，變量（C）是無窮小量0?xA.B.xxsinx1C.D.xx1sin2)ln(?x⒎若函數(shù)在點滿足（A），則在

3、點連續(xù)。)(xf0x)(xf0xA.B.在點的某個鄰域內(nèi)有定義)()(lim00xfxfxx??)(xf0xC.D.)()(lim00xfxfxx???)(lim)(lim00xfxfxxxx?????（二）填空題⒈函數(shù)的定義域是（3，∞))1ln(39)(2xxxxf?????⒉已知函數(shù)，則x2xxxxf???2)1(?)(xf⒊e12????xxx)211(lim⒋若函數(shù)，在處連續(xù)，則e??????????00)1()(1xkxxx

4、xfx0?x?k⒌函數(shù)的間斷點是x=0???????0sin01xxxxy高等數(shù)學基礎(chǔ)第二次作業(yè)第3章導數(shù)與微分（一）單項選擇題⒈設(shè)且極限存在，則（B）0)0(?fxxfx)(lim0???xxfx)(lim0A.B.)0(f)0(f?C.D.)(xf?0⒉設(shè)在可導，則（D）)(xf0x????hxfhxfh2)()2(lim000A.B.)(20xf??)(0xf?C.D.)(20xf?)(0xf??⒊設(shè)，則（A）xxfe)(????

5、????xfxfx)1()1(lim0A.B.ee2C.D.e21e41⒋設(shè)，則（D）)99()2)(1()(????xxxxxf???)0(fA.B.9999?C.D.!99!99?⒌下列結(jié)論中正確的是（C）A.若在點有極限，則在點可導)(xf0x0xB.若在點連續(xù)，則在點可導)(xf0x0xC.若在點可導，則在點有極限)(xf0x0xD.若在點有極限，則在點連續(xù))(xf0x0x（二）填空題⒈設(shè)函數(shù)，則0????????0001sin