2022年全国硕士研究生入学统一考试数学(一)模拟题二

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A 极限不存在 B 极限存在，但不连续 C 连续，但不可导 D 可导

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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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有一椭圆形薄板，长、短半轴分别为a与b．薄板垂直立于液体中，其长轴与液面相齐．设液体的比重为y，则液体对薄板的侧压力为( )．

A <img width="56" height="37" src="https://www.beizhujiaoyu.com/uploads/202208/20211118125209_1803.jpg" /> B <img width="53" height="37" src="https://www.beizhujiaoyu.com/uploads/202208/20211118125211_8053.jpg" /> C <img width="56" height="36" src="https://www.beizhujiaoyu.com/uploads/202208/20211118125215_8054.jpg" /> D <img width="53" height="36" src="https://www.beizhujiaoyu.com/uploads/202208/20211118125216_5085.jpg" />

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A 对x可偏导，对y不可偏导 B 对x不可偏导，对y可偏导 C 对x可偏导，对y也可偏导 D 对x不可偏导，对y也不可偏导

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A <img width="159" height="77" src="https://www.beizhujiaoyu.com/uploads/202208/20210924231804_2264.jpg" /> B <img width="138" height="77" src="https://www.beizhujiaoyu.com/uploads/202208/20210924231805_9607.jpg" /> C <img width="107" height="77" src="https://www.beizhujiaoyu.com/uploads/202208/20210924231806_3826.jpg" /> D <img width="149" height="79" src="https://www.beizhujiaoyu.com/uploads/202208/20210924231808_2264.jpg" />

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A 充分必要条件 B 充分而非必要条件 C 必要而非充分条件 D 既非必要也非充分条件

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的取值

A (-2，2)． B 2． C (2，+∞)． D (-∞，-2)．

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设事件A，B互不相容，且0

A P(B|<img width="24" height="42" src="https://www.beizhujiaoyu.com/uploads/202208/20211020135125_1800.gif" />)+P(A)P(B|<img width="24" height="42" src="https://www.beizhujiaoyu.com/uploads/202208/20211020135125_1800.gif" />)=P(B) B P(B|<img width="24" height="42" src="https://www.beizhujiaoyu.com/uploads/202208/20211020135125_1800.gif" />)-P(A)P(B|<img width="24" height="42" src="https://www.beizhujiaoyu.com/uploads/202208/20211020135125_1800.gif" />)=P(B) C P(B|<img width="24" height="42" src="https://www.beizhujiaoyu.com/uploads/202208/20211020135125_1800.gif" />)+P(A)P(B|<img width="24" height="42" src="https://www.beizhujiaoyu.com/uploads/202208/20211020135125_1800.gif" />)=P(<img width="24" height="42" src="https://www.beizhujiaoyu.com/uploads/202208/20211020135122_8988.gif" />) D P(B|<img width="24" height="42" src="https://www.beizhujiaoyu.com/uploads/202208/20211020135125_1800.gif" />)-P(A)P(B|<img width="24" height="42" src="https://www.beizhujiaoyu.com/uploads/202208/20211020135125_1800.gif" />)=P(<img width="24" height="42" src="https://www.beizhujiaoyu.com/uploads/202208/20211020135122_8988.gif" />)

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中正确的是( )．

A <img width="184" height="22" src="https://www.beizhujiaoyu.com/uploads/202208/20211118124010_1205.jpg" /> B <img width="174" height="22" src="https://www.beizhujiaoyu.com/uploads/202208/20211118124010_7582.jpg" /> C <img width="538" height="38" src="https://www.beizhujiaoyu.com/uploads/202208/20211118124012_3050.jpg" /> D <img width="625" height="22" src="https://www.beizhujiaoyu.com/uploads/202208/20211118124012_9144.jpg" />

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为( )．

A <img width="195" height="40" src="https://www.beizhujiaoyu.com/uploads/202208/20211118124016_9769.jpg" /> B <img width="195" height="40" src="https://www.beizhujiaoyu.com/uploads/202208/20211118124017_1800.jpg" /> C <img width="196" height="41" src="https://www.beizhujiaoyu.com/uploads/202208/20211118124019_1488.jpg" /> D <img width="195" height="40" src="https://www.beizhujiaoyu.com/uploads/202208/20211118124019_3519.jpg" />

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