1 . 已知
为虚数单位,复数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83dfdf95580d982f2b581bd611dbc037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d67321ace1e6b3be0fc0e5e8130022.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 已知函数
的导函数为
,且
,当
时,
,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a91e4f3c8930674f98a9fa527709b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc9cf6a1d3c32ddd6625e74dff2158d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75808bf2105bb703c07944466420f298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/409c1f6b206fbe506a4d6027fc87fd31.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知复数
满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08bfe80efdc38e1a649c5257f685768e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545141bbe7cc66d18946a129179d8df1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 曲线
在点
处的切线的斜率为
,求该曲线在点
处的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3daad3a31a3597f75fa109736ed2ebf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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解题方法
5 . 已知函数
若
,则实数a的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c097f33321a429ccef2603bafefdade4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a740ea7ce1c79a7e35325d832ea36ce.png)
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6 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f03349f413cf596edd712260d72e6ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d73bb75b197203cd0bd5a6e12aaf4a3.png)
A.7 | B.11 | C.12 | D.9 |
您最近一年使用:0次
7 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5660534ca9b11d00de13ebba1fcbce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
A.![]() | B.1 | C.![]() | D.![]() |
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解题方法
8 . 若曲线
在点
处的切线与直线
垂直,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/127836948ad01d728e7cf51fc15e2fa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a4f79fe56ec563ef8a043bdd9ef4b30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.3 | D.4 |
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解题方法
9 . 已知复数
满足
,则
在复平面内对应的点位于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30183373fb0ddc936f44a095e2dcb8b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
A.第一象限 | B.第二象限 | C.第三象限 | D.第四象限 |
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10 . 已知函数
.
(1)求
在
处的切线方程;
(2)求
在区间
上的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5bb46545c1d19d4e7a7a250a80f3feb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fab11f38ab8593932082ec4d9c8c91f.png)
您最近一年使用:0次
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4卷引用:江苏省新海高级中学2023-2024学年高二下学期期中考试数学试卷
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