名校
解题方法
1 . 如图,在扇形AOB中,扇形的半径为
,点
在弧
上移动,
.当
时,
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3885fc462a54e3cede0b0393ccbae415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aefde3021d869c295ed62a6b9011d08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bc3334767850a7c766bd612bf2fdd68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
A.![]() | B.![]() | C.2 | D.![]() |
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7日内更新
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217次组卷
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2卷引用:广东省梅州市2023-2024学年高一下学期7月期末考试数学试题
2 . 在
中,
,
,
,点P是
内一点(含边界),若
,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5432ca7defa3d4324a9465df9c9a8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd85a0f2ff80c84bf23eb808a349320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/187634c24754b576ae8293665f45f89b.png)
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解题方法
3 . 如图在平面四边形
中,
,点
在线段
上满足
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aa38cf7e3fa5aa93fb6c13fed5f2539.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24cbe0f316540af53125fc083965da12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c1e2e3171120aa9a932cfeb59c6d1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7fabb66e58438b956792d87c1ee7f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aa38cf7e3fa5aa93fb6c13fed5f2539.png)
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4 . 如图,已知
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43123de5401a7b301b3a06805aca4abc.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
5 . 在直角梯形
中,
分别为
的中点,点
在以
为圆心,
为半径的圆弧
上运动(如图所示).若
,其中
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/133f4d7df3c550a02d2ff0b2444029a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ad06fd37c172a5a792350a987772db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a900d0b93f73490e7efc2e444bb016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b41a384997b1c3a570b2eeb61aea30a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 菱形
中,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be3391de7a9edf0b5f4d0104ee35b17d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0449e512918f4b49b373dcda73f4d952.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825116eb345f5505ebc8c1cdb8a1f131.png)
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解题方法
7 . 四边形
是正方形,延长
至点
,使得
,若
为
中点,
为
中点,点
在线段
上移动(包含端点),设
,求
的取值范围______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0fa1aa5a7a5bb172ed4603f17c8b2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd749e516a3f5094b0fa8d95015c7704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
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8 . 边长为2的正三角形
的内切圆上有一点P,已知
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36965c4fa2678fe61578db7f38ac37c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1fc838e1477179b36ca7481ee2cc1e8.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 如图,四边形
的三边
,对角线AC交BD于O.
,求
的值;
(2)求
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5c36fa9e8497f7bafb7ed350b2adab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3810d0b44b5406b57a6fa6cdfb2912fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed66570f697459aba9daa2eaf9460bcb.png)
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名校
解题方法
10 . 在平行四边形
中,
,
,
,
是以
为圆心,
为半径的圆上一动点,且
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac94e7b9fbc2ad39be4f935f8cb5216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9545017eee79a71befee621b52c8cae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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