全国硕士研究生招生考试《经济类联考综合能力》模拟卷一

单选

函数f(x,y)=e2x(x+y2+2y)的极小值为()．

A 2e B <img src="https://www.beizhujiaoyu.com/uploads/202208/164439418920381.png" width="24" height="33" /> C <img src="https://www.beizhujiaoyu.com/uploads/202208/164439419491621.png" width="37" height="33" /> D <img src="https://www.beizhujiaoyu.com/uploads/202208/164439419839231.png" width="24" height="33" /> E <img src="https://www.beizhujiaoyu.com/uploads/202208/164439420596201.png" width="37" height="33" />

详情

单选

已知f'(ex)=1+x，则f(x)=

A x+0.5x2+C B ex+0.5e2x+c C xlnx+x+c D xlnx+c E (x+1)lnx+c

详情

单选

A <img width="103" height="26" src="https://www.beizhujiaoyu.com/uploads/202208/20220317160112_3507.jpg" /> B <img width="103" height="26" src="https://www.beizhujiaoyu.com/uploads/202208/20220317160112_7571.jpg" /> C -arcsin(lnx)+C D arcsin(lnx)+C E 2arcsin(lnx)+C

详情

单选

A xcosx-sinx+c B xcosx+2sinx+C C -xcosx-2sinx+C D xcosx-2sinx+C E xcosx+2sinx+C

详情

单选

A N<P<M B M<P<N C N<M<P D P<M<N E P=M=N

详情

单选

函数y=ex在区间[1，3]的曲线图像，绕x轴旋转一周，所得旋转体的体积为( )．

A <img width="66" height="23" src="https://www.beizhujiaoyu.com/uploads/202208/20220317155441_2581.jpg" /> B <img width="65" height="22" src="https://www.beizhujiaoyu.com/uploads/202208/20220317155442_8675.jpg" /> C <img width="66" height="22" src="https://www.beizhujiaoyu.com/uploads/202208/20220317155443_4728.jpg" /> D <img width="66" height="23" src="https://www.beizhujiaoyu.com/uploads/202208/20220317155445_0706.jpg" /> E <img width="66" height="23" src="https://www.beizhujiaoyu.com/uploads/202208/20220317155445_8206.jpg" />

详情

单选

A 0． B 2． C <img width="75" height="15" src="https://www.beizhujiaoyu.com/uploads/202208/20220316150727_5097.jpg" /> D <img width="75" height="15" src="https://www.beizhujiaoyu.com/uploads/202208/20220316150728_9942.jpg" /> E 2π．

详情

单选

A 不连续 B 连续，但偏导数f'x(0,0)，f'y(0,0)都不存在 C 连续且偏导数f'x(0,0)，f'y(0,0)都存在，但不可微 D 可微 E 以上均不正确

详情

单选

设函数f(x，y)=a(x-y)-x2-y2在点(2，-2)处取到极值，则( )．

A a=2，(2，-2)为极大值点． B a=2，(2，-2)为极小值点． C a=4，(2，-2)为极大值点． D a=4，(2，-2)为极小值点． E a=-4，(2，-2)为极小值点．

详情

单选

A <img width="80" height="34" src="https://www.beizhujiaoyu.com/uploads/202208/20220216095640_7904.jpg" title="" align="" alt="" /> B <img width="90" height="37" src="https://www.beizhujiaoyu.com/uploads/202208/20220216095641_8061.jpg" title="" align="" alt="" /> C <img width="90" height="33" src="https://www.beizhujiaoyu.com/uploads/202208/20220216095642_9477.jpg" title="" align="" alt="" /> D <img width="90" height="33" src="https://www.beizhujiaoyu.com/uploads/202208/20220216095643_9631.jpg" title="" align="" alt="" /> E <img width="90" height="31" src="https://www.beizhujiaoyu.com/uploads/202208/20220216095645_1029.jpg" title="" align="" alt="" />

详情