2024高一下·上海·专题练习
1 . 方程
在
内的解为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43183efe32be57d11b6cbc413e7599dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27794407a3d82a6746f7e0871051f486.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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2 . 在
中,角A、B、C的对边分别为a、b、c,若
且
,则
是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a909bc3d298d36d21b18644fdff89a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7098e7fdd9d6f543265b359a1f038d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.等边三角形 | B.顶角为![]() |
C.等腰直角三角形 | D.非直角三角形,也非等腰三角形 |
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3 . 满足
,
的角
的集合为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d447fcd65dcd7b3de73d46fa5fe68c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27794407a3d82a6746f7e0871051f486.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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4 . 函数
的最小正周期为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9b7bd5b09c0a1fa57c29334fd3ecd4b.png)
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5 . 已知向量
与
的夹角为
,且
.
(1)求
的值;
(2)若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380be26ed3df021b0f5b57ce1fc4e344.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acdc2475b065cfc88e27419a65b2d842.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f82b38124309fa742184532f1df5695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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6 . 已知角
终边上一点
,若
,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e23b74ed51912d236727c0ee5e3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9330f5a1902fe99fc5edd744fbe9146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.1 | B.2 | C.![]() | D.![]() |
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7 . 已知集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5990fe8270a3cd33f089e889f68792db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d8ba265205c6a6e0bc7d845c386fba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
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8 . 向量
,
能组成平面向量的一个基,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a6412c4f1058129c3f1c456b96c811c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92100c9aa9d74c9849b6ffc7443a681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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9 . 已知
中,
,
,
,则
在
方向上的数量投影为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7b5adfcac0f46a4cd19da4ebb4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba0dbe0dc30f7be260e24acb67f89abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5f1b06a56fc382feed28e01f1ad102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
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10 . 已知扇形的弧长是
,面积是
,则扇形的圆心角的弧度数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095ab4a92bf822e175d370e6d0c8a730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9202af84bc055b58bd51fae5e3272283.png)
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