名校
1 . 已知函数
.
(1)利用五点法画函数
在
内的图象;
(
),且
的最小正周期为
,求
的单调递增区间;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a23733cc570d841dee490221fbfb508.png)
(1)利用五点法画函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac54b570584309cb91b850edf28c3b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2114f95d431ca8777bb1c2e9bbcf6157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
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解题方法
2 . 函数
的定义域为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df50f99dd558d2cf90da2cd7125ae0f.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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解题方法
3 . 已知
,求下列代数式的值:
(1)
;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82e266f5d75b24c91c637a82675c975.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850dba25bf0f5f13541bf9b6ec12b84d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed780d76e30ffcceaa96958227ac65bd.png)
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解题方法
4 . 已知
是第二象限角,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b80751c98f9991b9cfc03923a98834.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aff8e8f399db20c51e878b2b4b134793.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b80751c98f9991b9cfc03923a98834.png)
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解题方法
5 . 已知
是锐角,且
.
(1)化简
;
(2)若
,求
的值,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/597a103b942d65a93410505f558a4d74.png)
(1)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edf6cd3c1837819eb5675102c8bf0129.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
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解题方法
6 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5590d740095d346b6f381376336c5612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b752d16b0a71bbf88110fae9916036.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 当
时,函数
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3395c7415946c9beec09d7752650f826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39c5d5c15746e1a99edec1870ee05f5c.png)
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解题方法
8 . 如图,在平面直角坐标系xOy中,点
,点
在单位圆上,
(
).
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/8/0a14a7c5-26e7-480e-9564-ccc8d03e6c5f.png?resizew=175)
(1)求
的值;
(2)若四边形OADB是平行四边形,求点D的坐标;
(3)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8950c7bc835103d52ceffab14b6b31a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cf66ddd7e0869ffdce7f9c45972d193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb7e00f8bacce4d649b535449f04568c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0917d846965359153058d56498f076bb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/8/0a14a7c5-26e7-480e-9564-ccc8d03e6c5f.png?resizew=175)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85d1f5778af41bf197321d654a41597c.png)
(2)若四边形OADB是平行四边形,求点D的坐标;
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfbdf11b398a9190998780206d7e9512.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a66e27ef92fcc51530e54533e23973.png)
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2024-05-04更新
|
131次组卷
|
2卷引用:北京市门头沟区大峪中学2023-2024学年高一下学期期中数学试卷
9 .
的展开式中常数项为________ (用数字作答)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1995587ddbd22fca4e6f3ff57312525.png)
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10 . 在复平面内,复数
满足
,则
的虚部为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a4239ff9f85108402ee554ca6c87751.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
A.![]() | B.![]() |
C.3 | D.![]() |
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