名校
解题方法
1 . 锐角
中,内角A、B、C的对边分别为a,b,c,S为
的面积,且
,
,则b的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68e30588128b6dc48b905e5b33b5a32b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-07-09更新
|
1392次组卷
|
5卷引用:安徽省太和中学2022-2023学年高二上学期数学竞赛试卷
解题方法
2 . 已知
的外心为O,且
,则
的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8a9b2c09945dee87e2e762559c25e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d54d09ef825305de83671448a3dea21.png)
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解题方法
3 . 设
为非零向量,
,两组向量
和
均由2个
和2个
排列而成.若
所有可能取值中的最小值为
,则
与
的夹角为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c998b0abdfcad8d426b532478d94d7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3140cbb6132f310843c7be424a5cc9e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5355d35c0a165df673cea8dc141858a.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/c7ae341ad5622f540318d2f1d86dbd87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07058f5a69c29822f92c2324cc86f71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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解题方法
4 . 设
,
,
与
是某平面内的四个单位向量,其中
,
与
的夹角为
.对于这个平面内任意一个向量
,规定向量
经过一次“斜二测变换”得到向量
,设向量
,则向量
经过一次“斜二测变换”得到的向量
的模为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ccfda9afde4441cfd1d4df5fe9622d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5770837fe8c7fc7d53ce7f19414c94f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a3f5738c22b6b5b7f9b97151c13fcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ccfda9afde4441cfd1d4df5fe9622d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5770837fe8c7fc7d53ce7f19414c94f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1cde7aace5b888a1a1c26fb911e2f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8df6d6a87e4c3f2ecf22dd0679ad756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0850a488b80fa2d748407fa15c94675c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5038606a058cf0a0e52d948942eec4dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e95763e154888a080b3b96ff7fb3b39f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f77dea92dc5b32a89ca4f2cdd6f9d8f.png)
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解题方法
5 . 如图,半圆的半径
,点
为圆心,点
为半圆上不同于
的任意一点,若点
为半径
上的动点,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2d3f02cb9007cd4a90ea30f6dd8181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd53e52547dc9d9468144a46244786ea.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/20/7a8098a3-473f-43d3-bc3a-368fb9d17a63.png?resizew=168)
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6 . 在周长为24的
中,
,则
的取值范围是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b02c51ce96d326f33c430cc884ea00b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d8eb37a4dd75318dcbd836395e575bd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 线段
上的一点
,直线
外一点
,满足
,
,
,
为
上一点,且
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce2f190a7e32e78446ac91fd3d9dd8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffffa778e9b14dc8801b229600eee6ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/486793b14bc4da7128ce5024884ee675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c6b19b7e3d0a11f486bd422596e871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e73c131a7f929060e83d5a80d4ab5e6.png)
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8 . 已知向量
,
,
与
的夹角为
,则直线
与圆
的位置关系是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fa3a07feb63e86e2ea5d21026091199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28868e8a756bc61c1bf989ce47993f6.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/260200d547998bcac50a4a491382e7f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98d78f8724baa307a53451d9858f47fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88fa4dcedc2a49571d2e1ff71783fb31.png)
A.相切 | B.相交 | C.相离 | D.随![]() ![]() |
您最近一年使用:0次
2020-06-26更新
|
156次组卷
|
2卷引用:第二届高二试题(决赛)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
解题方法
9 . 在
中,已知
,以A为中点作长为2a的线段PQ,当
的值最大时,
与
的夹角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc130e4f2499cc620a0df6542d8127b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c1954674261703d6c846f956520e90b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bad299e2782c072d27e1c54422cc8fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89265cbe3abc6b966ce8967fead448b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
您最近一年使用:0次
2019高三·浙江·专题练习
10 . 在
中,
的面积
,则
与
夹角的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b21608df399a30c28c80516f4628d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aebcfa08e8efd5b6a94a72af2478b829.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d18eecc9135b568c133d8bebe6d18839.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431c8b143595051d9465017a26060b61.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次