名校
1 . 已知复数
满足
,
,
,若
是关于
的方程
的一个根,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73aef87ade0fdaeb52ddbaee78915208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e86276d6b5a5d84efa6d4a1845dabc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc4c63a548b91061528aa11058de75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ce4c162efc4287782377e2f39901a58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
A.5 | B.6 | C.7 | D.8 |
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名校
解题方法
2 . 若函数
是
上的减函数,则a的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8328e317bd3f654040e46a75e03d5d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:河北省石家庄十五中2023-2024学年高二下学期期中数学试题
名校
解题方法
3 . (1)已知
,关于x的方程
的一个虚根为
,求
的值;
(2)已知复数
满足:
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1146110d4382c714c10de00dd1273b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e36c3dd5d956edd552444e019d8e158c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)已知复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d860cb86e1467ac24010aecfc7a425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0832095149659ac7fbe35eba945d4b34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66a40e2b6c49f849119ad4a3f2e79530.png)
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解题方法
4 . 已知函数
,当
时,
取得极值1.
(1)求
的解析式;
(2)若对任意的
都有
成立,求c的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f207ba5259b3ee95ecb0b54d8ae27ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24aa16b780156e18f12baa2b8ee0f9a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0511f21670d0637b6c6ba831b11c209.png)
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2卷引用:广东省佛山市南海区第一中学2023-2024学年高二下学期阶段三暨期末统考模拟检测数学试题
名校
5 . 已知
且
,
且
,
且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e873578b6b90212323f7f031d544f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e138c6157f9033f6bf51b45fc4d34ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a920b81877c5de047bc797eb6f608e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a6aeac058ed5584b4a45eaa69dae6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8c79aebb58555ad3246f73ac4e84702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28d0eec319e3dd42ad35c0ba1498f6cf.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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37次组卷
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2卷引用:广东省佛山市南海区第一中学2023-2024学年高二下学期阶段三暨期末统考模拟检测数学试题
6 . 已知函数
.
(1)讨论
的单调性;
(2)若
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e555d56535776367402baaad9fb457f.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
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解题方法
7 . 曲线
过点
的切线与直线
垂直,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57c5838c01dec57f092bccc3f1eeaa8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b6a9ffffc0c461881b427c543924cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb343cfed5f78a4a24f750415abef43e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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名校
8 . (1)己知函数
.过点
作曲线
的切线,求此切线的方程;
(2)已知函数
,在
时有极值0.求
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b636844dddba5c8e2a96f34e03c7eddb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7bd4e5049fa304e4d352bfe6dee455d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e328c20ada7164298ca70ceb5d5194ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00713e73b8357cc7900144f5505bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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解题方法
9 . 已知
.
(1)求曲线
在
处的切线方程;
(2)若对任意的
,且
,都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae26f39fa585d238261a54623b60e2b8.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42fd7af568e3d9f444beb0ff41426477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cd0f3cae39f2f29b30ca47213cffdc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
10 . 已知关于x的实系数一元二次方程
有一对共轭虚根
,
.
(1)当
时,求共轭虚根
和
;
(2)若
,求实数a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3552a880182b6c7f54f320fe7483ace7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f498b6874410fb46e9807e04371e6e5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec9f93ddf1453ac95368dcc84e1e4342.png)
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