微积分（一）-模拟题参考答案 中国地质大学

中国地质大学(北京)继续教育学院第第页《微积分(一)》模拟题一.单选题1.求极限(-x2A.-1B.0C.1D.∞[答案]:B2.求极限limA.0B.1C.1/2D.3/2[答案]:D3.设函数,在,内连续,求a的值.A.5B.6,.7D.8[答案]:D4.求函数y=x2+3x+1,当x=1,∆x=0.1A.0.1B.0.2C.0.3D.0.4[答案]:D5.求极限(A.1B.1/2C.1/3D.1/4[答案]:B6.求极限limA.-1B.0C.1D.2[答案]:B7.求极限limA.1B.2C.3D.4[答案]:A8.设,.A.-1B.0C.1,.∞[答案]:B[,级属性],[二级属性]:[难度]:[公开度]:9.设,.A.-1B.0C.1,.2[答案]:D[一级属性]:,二级属性,:[难度]:[公开度]:10.求极限(.A.-1B.0C.1D.∞[答案]:C11.求极限A.-1B.0C.1D.∞[答案]:B12.求极限A.1B.1/2C.1/3D.1/4[答案]:B13.求极限A.0B.1C.2D.3[答案]:B14.求极限A.0B.1/4C.1/3D.3/4[答案]:D15.A.1B.2C.3D.4[答案]:C16.求极限A.-1B.0C.1D.∞[答案]:B17.求极限A.-1B.0C.1D.∞[答案]:B18.求极限A.-1B.0C.1D.∞[答案]:B19.求极限A.-1B.0C.1D.∞[答案]:B20.求极限A.-1B.0C.1D.∞[答案]:B21.求极限A.-1B.0C.1D.∞[答案]:B22.求极限A.-1B.0C.1D.∞[答案]:D23.求极限A.-1B.0C.1D.∞[答案]:D24.求极限A.-1B.0C.1D.∞[答案]:D25.若,求a的值A.1B.2C.3D.4[答案]:B26.若,求a,b的值A.a=1,b=-2B.a=-1,b=-2C.a=1,b=2D.a=-1,b=2[答案]:A27.求极限A.-1B.0C.1D.2[答案]:C28.求极限A.0B.1/2C.1/3D.1/4[答案]:C29.求极限A.0B.1/2C.1/3D.1/4[答案]:B30.求极限A.0B.1C.2D.3[答案]:A31.求极限limA.1/4B.1/5C.2/5D.3/4[答案]:D32.求极限limxA.3B.4C.5D.6[答案]:D33.求极限limA.1/2B.1/3C.1/4D.1/5[答案]:B34.求极限limxA.1B.2C.3D.4[答案]:D35.求极限limx→1A.-1B.0C.1D.2[答案]:C36.求极限limxA.11B.12C.13D.14[答案]:B37.求极限limx→0A.-1B.0C.1D.2[答案]:D38.y=x3-3xA.5,2B.7,3C.6,3D.5,4[答案]:B39.设fxA.-1B.0C.1D.2[答案]:A40.曲线y=1x在点(1,1A.-1/3B.-1/2C.1/3D.1/4[答案]:B41.设,则=()A.-1B.0C.1D.2[答案]:B42.若求a,b的值A.a=1,b=-1B.a=1,b=0C.a=0,b=-1D.a=-1,b=1[答案]:A43.A.1/6B.1/5C.1/4D.1/3[答案]:A44.已知求a的值A.5B.6C.7D.8[答案]:C45.A.-1B.0C.1D.2[答案]:C46.计算A.-1.25B.0.5C.0D.1.25[答案]:D47.求A.-1B.-1.5C.0D.0.5[答案]:B48.A.-1B.0C.1D.2[答案]:B49.设,则a=(),b=()A.1B.2C.3D.4[答案]:C50.函数的间断点是()A.-1B.0C.1D.2[答案]:A51.设若函数f(x)在其定义域内连续,则k=()A.1B.2C.3D.4[答案]:A52.若,则m=()A.1B.2C.3D.4[答案]:D53.=()A.-1B.0C.1D.2[答案]:C54.=()A.-1B.0C.1D.2[答案]:B设f(x)的定义域是[0,1],求的定义域,由原函数定义域知道后者函数的范围是[0,1],进而得到x的范围A.[-1,1]B.[0,-1]C.[1,-1]D.[0,1][答案]:A56.的定义域为,值域为().A.[-1,1]B.[-1,0]C.[0,1]D.[-0.5,1][答案]:A57.下列函数中,那个不是映射().A.B.C.D.y=lnx(x>0)[答案]:B58.曲线的渐近线条数为()A.0B.1C.2D.3[答案]:D59.若,A.B.C.D.[答案]:B60.试求limx→0A.B.0C.1D.61.x=-1是函数(的()A.跳跃间断点B.可去间断点C.无穷间断点D.不是间断点[答案]:C62.若函数在原函数,下列错误的等式是:A.B.C.D.[答案]:B63.仅考虑收益与成本的情况下,获得最大利润的必要条件是:A.B.C.D.64.若函数f(x)在x0处不可导,A.f(x)在x0B.f(x)在x0C.f(x)在x0D.f(x)在x0[答案]:B65.x=0是函数的()A.跳跃间断点B.连续点C.振荡间断点D.可去间断点[答案]:D66.设f(x)为偶函数,φx为奇函数,A.偶函数B.奇函数C.非奇非偶函数D.可能奇函数也可能偶函数[答案]:A67.若在处取得最大值,则必有()A.B.C.且D.不存在或[答案]:B68.下列数列有极限并且极限为1的选项为()A.B.C.D.[答案]:D69.x=0是函数的()A.连续点B.可去间断点C.跳跃间断点D.无穷间断点[答案]:B二.判断题1.当时,为无穷小[答案]:T2.无限个无穷小的和不一定是无穷小[答案]:T3.两个无穷小的商不一定是无穷小;[答案]:T4.无穷大与无穷大的积也是无穷大[答案]:T5.无穷小与无穷大的积一定是无穷大[答案]:F6.无穷小与无穷大的积一定是无穷大[答案]:F7.[答案]:T8.两个无穷大的和也是无穷大[答案]:F9.两个无穷大的和也是无穷小[答案]:T10.证明:的充分必要条件是且[答案]:T11.[答案]:T12.[答案]:T13.[答案]:T14.[答案]:T15.[答案]:T16.[答案]:T17.证明:对任一数列,若且,则[答案]:T18.若数列收敛,而数列发散,则数列必发散.[答案]:T19.若数列和都发散,则数列必发散[答案]:F20.[答案]:T21.[答案]:T三.计算题1.求导数[答案]:解:2.求曲线经过原点的切线方程[答案]:解::切线方程:y=x.3.已知,求[答案]:解:4.设,其中在x=a处连续,求.[答案]:解5.已知,则=()[答案]:解:,.6.求曲线在点(1,2)处的切线方程.[答案]:解:,切线方程:.7.求经过(2,0)的切线方程.[答案]:设切点为(t