名校
1 . 已知
,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2c0bed15b1ac7682492a12af40ed3c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30416a3ae04941c3b087a2dad6432f6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . i为虚数单位,计算
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae916c2f6cb1041e86a94a5a98520efb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 已知
是复数,
为实数,
为纯虚数(
为虚数单位) .
(1)求复数
;
(2)求
的模.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cf883aa12fa8e6da300253195f485de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79495891db61dcff5ffb44197043d097.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
(1)求复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbeaada495870b36c4d17a3caa624704.png)
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4 . 若
,则称
与
互为“邻位复数”.已知复数
与
互为“邻位复数”,
,则
的最大值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e324998566ea6d55f631258adecc42a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ead19903ca4b4a701c535d45c80b114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891103865ff794b8fea1ba88bca7e505.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eba1d90e19c71de365da8c29f2b8378.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287d649333df50944eadb8b7612d94df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fba64ec90d6532ff556660abfcfbcb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98c155d5fe70269794831f0c069d4d74.png)
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5 . 已知函数
.
(1)若函数
在点
处的切线与直线
平行,求函数
的极值;
(2)若
,
,
,求
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e4a742506e14ee1eff54cc34f198ce.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea9824af71c9da5db5a00ec06063024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36eaa4e819d4643ce02c8f3abf78b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e5a59dd9b5bb24f5e1f9edadc6882a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7863b54185da5a3f1a765e1aa0577e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
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昨日更新
|
202次组卷
|
2卷引用:福建省福州市闽侯县第一中学2023-2024学年高二下学期第二次月考(5月)数学试题
名校
解题方法
6 . 已知函数
,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3715e02089635d89cab4907ac7795d07.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.当![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
名校
解题方法
7 . 已知函数
在
时取得极大值3.
(1)求实数
,
的值;
(2)求函数
在区间
上的最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6f5ae606238b7da9fab86d126378bfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa66623cf54b42d6d12be4c8edaa7071.png)
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8 . 已知函数
.
(1)当
时,若直线
与曲线
相切,求
;
(2)若直线
与曲线
恰有两个公共点,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db6dc5779e96494ef7f1c8f973ea86b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/634cfbfa72c819314962cc08fc29ac15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f590ca2bde213675bffe68ed4017f957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9 . 已知函数
在
处有极小值
.
(1)求函数
的解析式;
(2)若函数
在
只有一个零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe0b88758d1714cdcd9e6e641a790662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd1017814e9883c21b17e43703a7272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5432187d1c042787433b7633292d00fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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10 . 复数
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7838ecc9de00046963eaeec13ccbceb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de971553ea8a66d7849b138a4a0625c5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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