1 . 过直线
上一点
作圆
的两条切线,切点分别为
,则线段
的长度的范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061af1c7a4480004221e253d813efe07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4c6719982da4310d486d76bd7b0b5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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2 . 已知A为圆C:
上的动点,B为圆E:
上的动点,P为直线
上的动点,则
的最大值为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/474f0068e21da52c260ca46bf8149563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b309986ab9da2e049812c871769924f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d585d2d6643471640905d234d9538c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cb58cef2ef9fd70d37d138c5ec445ba.png)
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3 . 已知点
为直线
上的动点,平面内的动点
到两定点
,
的距离分别为
和
,且
,则点
和点
距离的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cfabee203f841f2792a036c4bca54cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c9dcfd9f4c5298035870cb88a34169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc46f09a8c079e2916af98bb2f96f84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f077fb4f73c2123538e19365d84748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b918aef3758d9e8f580ef52f07841515.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3185e538b718098304ce17143f6e3ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
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2024高三下·全国·专题练习
4 . 已知数列
满足
,
,记
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c19d77e4ea297db374071443e6cf8ac.png)
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d34050343cc5eee63a6dd6767b3192a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/314501f06c7e4bf3112fe41ecac7be68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c19d77e4ea297db374071443e6cf8ac.png)
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2024高三下·全国·专题练习
5 . 已知数列
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb7147e313f9d9f67d19ecb5f499c05.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e5a9566bb42dca9030be3915456c00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb7147e313f9d9f67d19ecb5f499c05.png)
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6 . 在正三棱台
中,
、
,直线
与底面
所成的角为
,则该三棱台的体积为__________ ,该三棱台的外接球的表面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff6c9099d36b2bbd7f5a47531942de2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b16cff607cdc2d69afc70dc778acbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
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解题方法
7 . 已知圆锥的高为
,其顶点和底面圆周都在直径为
的球面上,则圆锥的体积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
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2024高三·全国·专题练习
解题方法
8 . 在
中,三个内角
所对的边分别为
,
,
,则
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5573b30734d65648f61c0a94c98de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7fa79a550591eb9e1bd07bced3a08fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/819c7a62f0c3f64f53370d19db912c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
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2024高三·全国·专题练习
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9 . 在
中,三内角
对应的边分别为
,且
,则
面积的最大值为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5573b30734d65648f61c0a94c98de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b367dbbfcf34f939c31d42bdc2318bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024-03-11更新
|
928次组卷
|
3卷引用:专题03:解三角形中的值域与最值问题-1
2024高三·全国·专题练习
名校
解题方法
10 . 已知
分别为
三个内角
的对边,
,且
,则
周长的取值范围为________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3216954752cf703ad536f6e640a26539.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb7a6885bd1c82fe831172732e056db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
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|
1291次组卷
|
7卷引用:专题03:解三角形中的值域与最值问题-1
(已下线)专题03:解三角形中的值域与最值问题-1(已下线)6.4.3余弦定理、正弦定理(第1课时)(已下线)9.1.2 余弦定理-【帮课堂】(人教B版2019必修第四册)云南省昆明市官渡区第一中学2023-2024学年高二下学期3月月考数学试卷(已下线)6.4.3.1 余弦定理——课堂例题(已下线)6.4.3.1 余弦定理——课后作业(提升版)青海省西宁市第十四中学2023-2024学年高一下学期4月月考数学试卷