高等數(shù)學基礎模擬題答案

1、1高等數(shù)學基礎模擬題一、單項選擇題（每小題3分，本題共15分）1.設函數(shù)的定義域為，則函數(shù)的圖形關于（D）對稱)(xf)(????)()(xfxf??(A)(B)軸xy?x(C)軸(D)坐標原點y2.當時，變量（C）是無窮小量0?x(A)(B)x1xxsin(C)(D)1e?x2xx3.設，則（B）xxfe)(????????xfxfx)1()1(lim0(A)(B)e2e(C)(D)e41e214.（A）??xxxfxd)(dd2(A

2、)(B))(2xxfxxfd)(21(C)(D))(21xfxxxfd)(25.下列無窮限積分收斂的是（B）(A)(B)???0dexx????0dexx(C)(D)???1d1xx???1d1xx二、填空題（每小題3分，共15分）1.函數(shù)的定義域是(12)U(23］)1ln(92???xxy2.函數(shù)的間斷點是X=0???????0sin01xxxxy3.曲線在處的切線斜率是121)(??xxf)21(4.函數(shù)的單調(diào)減少區(qū)間是（－∞，－

3、1）1)1(2???xy5.sinxc???xxd)(sin三、計算題（每小題9分，共54分）3高等數(shù)學基礎模擬題答案模擬題答案一、單項選擇題（每小題3分，本題共15分）1.D2.C3.B4.A5.B二、填空題（每小題3分，本題共15分）1.2.3.4.5.]32()21(?0?x21)1(???cx?sin三、計算題（每小題6分，共54分）1.解：5655sinlim66sinlim5655sin66sin56lim5sin6sinl

4、im0000?????????xxxxxxxxxxxxxx2.解：由導數(shù)四則運算法則得4224222sin22ln2cos)2(sin2)2(sinxxxxxxxxxxxxyxxxx??????????312sin22ln2cosxxxxxxx?????3.解：)e2sin(eecosesine2xxxxxy???4.解：等式兩端求微分得左端yxxyxydcos)(cosd)cos(d???yxxxydcosdsin???右端yyyde