2019年的電大高等數(shù)學(xué)基礎(chǔ)期末考試試題及答案

1、120192019年電大高等數(shù)學(xué)基礎(chǔ)期末考試試題及答案年電大高等數(shù)學(xué)基礎(chǔ)期末考試試題及答案一、單項(xiàng)選擇題一、單項(xiàng)選擇題11下列各函數(shù)對(duì)中，（C）中的兩個(gè)函數(shù)相等A.，B.，2)()(xxf?xxg?)(2)(xxf?xxg?)(C.，D.，3ln)(xxf?xxgln3)(?1)(??xxf11)(2???xxxg1⒉設(shè)函數(shù)的定義域?yàn)?，則函數(shù)的圖形關(guān)于（C）對(duì)稱)(xf)(????)()(xfxf??A.坐標(biāo)原點(diǎn)B.軸C.軸D.xyxy

2、?設(shè)函數(shù)的定義域?yàn)椋瑒t函數(shù)的圖形關(guān)于（D）對(duì)稱)(xf)(????)()(xfxf??A.B.軸C.軸D.坐標(biāo)原點(diǎn)xy?xy.函數(shù)的圖形關(guān)于（A）對(duì)稱2eexxy???(A)坐標(biāo)原點(diǎn)(B)軸(C)軸(D)xyxy?1⒊下列函數(shù)中為奇函數(shù)是（B）A.B.C.D.)1ln(2xy??xxycos?2xxaay???)1ln(xy??下列函數(shù)中為奇函數(shù)是（A）A.B.C.D.xxy??3xxeey???)1ln(??xyxxysin?下列函數(shù)

3、中為偶函數(shù)的是（D）ABCDxxysin)1(??xxy2?xxycos?)1ln(2xy??21下列極限存計(jì)算不正確的是（D）A.B.12lim22????xxx0)1ln(lim0???xxC.D.0sinlim???xxx01sinlim???xxx22當(dāng)時(shí)，變量（C）是無(wú)窮小量0?xA.B.C.D.xxsinx1xx1sin2)ln(?x當(dāng)時(shí)，變量（C）是無(wú)窮小量ABCD0?xx1xxsin1e?x2xx.當(dāng)時(shí)，變量（D）是無(wú)窮

4、小量ABCD0?xx1xxsinx2)1ln(?x下列變量中，是無(wú)窮小量的為（B）ABCD.??1sin0xx?????ln10xx????1xex????2224xxx???31設(shè)在點(diǎn)x=1處可導(dǎo)，則（D）)(xf????hfhfh)1()21(lim0A.B.C.D.)1(f?)1(f??)1(2f?)1(2f??3函數(shù)的圖形關(guān)于y軸對(duì)稱。xxxf???1010)(二、填空題二、填空題⒈函數(shù)的定義域是（3，∞）)1ln(39)(2x

5、xxxf?????函數(shù)的定義域是（2，3）∪（3，4xxxy????4)2ln(]函數(shù)的定義域是（－5，2）xxxf????21)5ln()(若函數(shù)，則1???????0201)(2xxxxfx?)0(f2若函數(shù)，在處連續(xù)，則e??????????00)1()(1xkxxxxfx0?x?k.函數(shù)在處連續(xù)，則2????????002sin)(xkxxxxf0?x?k函數(shù)的間斷點(diǎn)是x=0???????0sin01xxxxy函數(shù)的間斷點(diǎn)是x=

6、3。3322????xxxy函數(shù)的間斷點(diǎn)是x=0xey??113⒈曲線在處的切線斜率是121)(??xxf)21(曲線在處的切線斜率是142)(??xxf)22(曲線在（0，2）處的切線斜率是11)(??xexf.曲線在處的切線斜率是31)(3??xxf)21(32曲線在處的切線方程是y=1切線斜率是0xxfsin)(?)12π(曲線y=sinx在點(diǎn)(00)處的切線方程為y=x切線斜率是14.函數(shù)的單調(diào)減少區(qū)間是（－∞，0）)1ln(2

7、xy??函數(shù)的單調(diào)增加區(qū)間是（0，∞）2e)(xxf?.函數(shù)的單調(diào)減少區(qū)間是（－∞，－1）1)1(2???xy.函數(shù)的單調(diào)增加區(qū)間是（0，∞）1)(2??xxf函數(shù)的單調(diào)減少區(qū)間是（0，∞）2xey??51.???xxded2dxex2???xxdxddsin22sinxtanxC???xxd)(tan若，則－9sin3x???cxxxf3sind)(??)(xf52300????335d)21(sinxx????11231dxxx??