解题方法
1 . 已知
,且
.
(1)化简并求值:
;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f896ad30dbfae8a8fe6fc580a7af494.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0f80c815f0ad841ffc0319ab1cd0f6.png)
(1)化简并求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9eeea7fdb06c25252eeea9e035211db.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59293d90383d56af29d8f8fd6d96af3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/336abb5d2a2a7f19f57a1dac867838ae.png)
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2 . 已知函数
(其中常数
)的最小正周期为
.
(1)求函数
的表达式;
(2)作出函数
,
的大致图象,并指出其单调递减区间;
(3)将
的图象向左平移
个单位长度得到函数
的图象,若实数
满足
,且
的最小值是
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15069b74e83129c2c908c32fc05cf188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27794407a3d82a6746f7e0871051f486.png)
(3)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ec4b31c8c6e293c1e3c2448e7b072f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92fa64657a9b73b0d5c9ea1319e6d658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
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3 . 已知复数
,
,
为虚数单位,若
,复数
,
对应的向量分别为
,
,存在
使得等式
成立,则实数
的取值范围为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f536357fb0efbcc6ba022b1fbede1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a84192a8e3f954579750b89ba5e3ceb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1d52c9f28585fce0f86e70ea13b0139.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c806aed3734652061949800d0287f907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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4 . 已知函数
.
(1)求函数
的最小正周期;
(2)求函数
在区间
上的最小值和最大值及相应的
取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/179ace0ca3aec4a5f9941685dd180e95.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79500baede9738eca9b9daa3924bcda8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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5 . 若
,则
的取值范围是_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d8cf4ff062a9ce9951c3435328213c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fd12996c1ba5de97286e5bb2dc1e90f.png)
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6 . 已知函数.
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b1bb374ed4c231572454d559766269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c675cd3cc0ad009b2a8823eb09941206.png)
您最近一年使用:0次
2023-05-12更新
|
566次组卷
|
2卷引用:上海市青浦高级中学2022-2023学年高一下学期期中数学试题
7 . 已知函数
,如果存在实数
,使得对任意的实数
,都有
成立,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01da67615582a2d367b24464f3f62236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16c4864141d0a2502ec57debf8e6b2ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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8 . 函数
的定义域为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bee5373c8ec0e0803f94f256af8c166.png)
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9 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eddb54ccf6c5ef8ba729f3b6195724b7.png)
A.![]() ![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.函数![]() ![]() |
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2023-03-09更新
|
1544次组卷
|
7卷引用:上海市宝安中学2022-2023学年高一下学期期中数学试题
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10 . 设常数a使方程
在闭区间
上恰有三个不同的解
,则实数a的取值集合为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/677b901b829cd0725ad8915853accc62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bccd6a6e85bdf500218a3e75b31f3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
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