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A 低阶无穷小 B 等价无穷小 C 高阶无穷小 D 同阶但非等价无穷小

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A 连续且取得极大值 B 连续且取得极小值 C 可导且导数为零 D 可导且导数不为零

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有一圆柱体，底面半径与高随时间变化的速率分别为2cm／s，-3cm／s，当底面半径为10cm，高为5cm时，圆柱的体积与表面积随时间变化的速率分别为()．

A 125πcm3／s，40πcm2／s B 125πcm3／s，-40πcm2／s C -100πcm3／s，40πcm2／s D -100πcm3／s，-40πcm2／s

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设函数f(x)=ax-bln x(a>o)有2个零点，则b/a的取值范围是()．

A (e，+∞) B (0，e) C (0，<img src="https://www.beizhujiaoyu.com/uploads/202208/161966141091461.png" width="15" height="41" title="" align="" alt="" />) D (<img src="https://www.beizhujiaoyu.com/uploads/202208/161966141544481.png" width="15" height="41" title="" align="" alt="" />，+∞)

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设函数f(x)=sec x在x=0处的2次泰勒多项式为1+ax+bx2，则()．

A a=1，b=-<img src="https://www.beizhujiaoyu.com/uploads/202208/161966141920991.png" width="15" height="39" title="" align="" alt="" /> B a=1，b=<img src="https://www.beizhujiaoyu.com/uploads/202208/161966142592361.png" width="15" height="39" title="" align="" alt="" /> C a=0，b=-<img src="https://www.beizhujiaoyu.com/uploads/202208/161966143059371.png" width="15" height="39" title="" align="" alt="" /> D a=0，b=<img src="https://www.beizhujiaoyu.com/uploads/202208/161966143639851.png" width="15" height="39" title="" align="" alt="" />

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设函数f(x，y)可微，且f(x+1，ex)=x(x+1)2,f(x，x2)=2x2lnx，则df(1，1)=()．

A dx+dy B dx-dy C dy D -dy

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设函数f(x)在区间[0，1]上连续，则

A <img src="https://www.beizhujiaoyu.com/uploads/202208/161966145162531.png" width="140" height="39" /> B <img src="https://www.beizhujiaoyu.com/uploads/202208/161966145726021.png" width="140" height="39" /> C <img src="https://www.beizhujiaoyu.com/uploads/202208/161966146298421.png" width="132" height="42" /> D <img src="https://www.beizhujiaoyu.com/uploads/202208/161966146739831.png" width="111" height="42" />

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二次型f(x1，x2，x3)=(x1+x2)2+(x2+x3)2-(x3-x1)2的正惯性指数与负惯性指数依次为()．

A 2，0 B 1，1 C 2，1 D 1，2

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设三阶矩阵A=(α1，α2，α3)，B=(β1，β2，β3)，若向量组α1，α2，α3可以由向量组β1，β2，β3线性表出，则()．

A Ax=0的解均为Bx=0的解 B ATx=0的解均为BTx=0的解 C Bx=0的解均为Ax=0的解 D BTX=0的解均为ATx=0的解

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已知矩阵，若下三角可逆矩阵P和上三角可逆矩阵Q，可使得PAQ为对角矩阵，则P，Q可以分别取()．

A <img src="https://www.beizhujiaoyu.com/uploads/202208/16196614759371.png" width="167" height="74" /> B <img src="https://www.beizhujiaoyu.com/uploads/202208/161966148173021.png" width="198" height="74" /> C <img src="https://www.beizhujiaoyu.com/uploads/202208/16196614854121.png" width="198" height="75" /> D <img src="https://www.beizhujiaoyu.com/uploads/202208/161966148911951.png" width="194" height="75" />

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