電大高等數(shù)學(xué)基礎(chǔ)形成性考核手冊答案(含題目)

1、高等數(shù)學(xué)基礎(chǔ)形考作業(yè)高等數(shù)學(xué)基礎(chǔ)形考作業(yè)1答案：答案：第1章函數(shù)函數(shù)第2章極限與連續(xù)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)(xf)(????)()(xfxf??稱A.坐標(biāo)原點B.軸xC.軸D.yxy?⒊下列函數(shù)

2、中為奇函數(shù)是（B）A.B.)1ln(2xy??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(dāng)時，變量（C）是無窮小量0?xA.B.xxsinx1C.D.xx1s

3、in2)ln(?x⒎若函數(shù)在點滿足（A），則在點連續(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)1ln(39)(2xxxxf?????????3⒉已知函數(shù)，則x2xxxxf???2)1(?)(xf⒊????xxx)211(lim21e⒋若函數(shù)，在處連續(xù)，則e

4、??????????00)1()(1xkxxxxfx0?x?k⒌函數(shù)的間斷點是???????0sin01xxxxy0?x⒍若，則當(dāng)時，稱為。Axfxx??)(lim00xx?Axf?)(時的無窮小量0xx?（三）計算題⒈設(shè)函數(shù)解：????????2244442682422limlimlim54411413xxxxxxxxxxxxx???????????????????⒑設(shè)函數(shù)??????????????11111)2()(2xxxxxx

5、xf討論的連續(xù)性。)(xf解：分別對分段點處討論連續(xù)性11xx???（1）??????1111limlim1limlim1110xxxxfxxfxx?????????????????????所以，即在處不連續(xù)????11limlimxxfxfx?????????fx1x??（2）??????????221111limlim2121limlim111xxxxfxxfxxf????????????????所以即在處連續(xù)??????11lim

6、lim1xxfxfxf????????fx1x?由（1）（2）得在除點外均連續(xù)??fx1x??高等數(shù)學(xué)基礎(chǔ)作業(yè)高等數(shù)學(xué)基礎(chǔ)作業(yè)2答案：答案：第3章導(dǎo)數(shù)與微分導(dǎo)數(shù)與微分（一）單項選擇題⒈設(shè)且極限存在，則（C）0)0(?fxxfx)(lim0???xxfx)(lim0A.B.)0(f)0(f?C.D.cvx)(xf?0⒉設(shè)在可導(dǎo)，則（D）)(xf0x????hxfhxfh2)()2(lim000A.B.)(20xf??)(0xf?C.D.)

7、(20xf?)(0xf??⒊設(shè)，則（A）xxfe)(????????xfxfx)1()1(lim0A.B.C.D.ee2e21e41⒋設(shè)，則（D）)99()2)(1()(????xxxxxf???)0(fA.B.C.D.9999?!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(dǎo)B.若在點連續(xù)，則在點)(xf0x0x)(xf0x0x可導(dǎo)C.若在點可導(dǎo)，則在點有極限D(zhuǎn).若在點有極限，則在點)(xf0x0x)(xf0x連續(xù)