名校
解题方法
1 . 已知向量
,
,且
,若
,
均为正数,则
的最小值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/215173153b5f88cdf8176c405ed1cf0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb8c90d12b2a2241e5c1af21249b8ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5aa846a5b7c96fe2ce665eb1ea5f0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b7e12253044b5abff2a56dcd730ced8.png)
您最近一年使用:0次
2020-09-25更新
|
530次组卷
|
3卷引用:内蒙古包头市第四中学2020-2021学年高三上学期期中考试数学(文)试题
2 . 在
中,
,
,
,则
的值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f89deb952f57f4b3fa4887b098b7b91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7c46b1825f85062ae8293e51fd2b7da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaeb9eded6e980e548cbf40376ab56be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2020-09-20更新
|
183次组卷
|
2卷引用:西藏拉萨市那曲第二高级中学2019-2020学年高二下学期期中考试数学(文)试题
2020高三·全国·专题练习
3 . 已知向量
,
满足
,
,且向量
,
的夹角为
,若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
与
垂直,则实数
的值为__________
![](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/ce3f8682540cd84c62e6fa835cd02f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16d81d266f24698696a81ed5e007680.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/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/409937ef72b0b5a8c54566dce0a2ee24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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名校
解题方法
4 . 已知向量
,
,其中
,
,且
,则向量
和
的夹角是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da032e305b3ad38754e2d52b8ca086bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34fa8ea29001bb1f0c1e5157aff2fca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a6cb4dd98629b02ede38e4ebe185162.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
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2020-09-06更新
|
2891次组卷
|
6卷引用:吉林省汪清县第六中学2020-2021学年高二上学期期中考试数学试题
名校
5 . 已知向量
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da5d3342e62450c9ec41d529e179ddc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67584e2063b8190b096eda30501e596b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1b0505020a5974d9422f10f60bf935d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2020-09-05更新
|
369次组卷
|
4卷引用:广东省东莞市东华高级中学2021届高三上学期期中数学试题
名校
解题方法
6 . 已知向量
,
.若
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23bdc0ce4bca80e27b8c8f176a638622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4c996dee85e4c876bd2b95d659a097.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dba82d5aece4691ea007fa1682f61654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2020-08-31更新
|
155次组卷
|
4卷引用:安徽省亳州市第十八中学2019-2020学年高一下学期期中数学试题
名校
7 . 已知向量
,
满足
,
,
与
的夹角为
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.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/f1c285cb5f8c3e4de6da38c23406422d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eca8fb20438505791369da9abe4a804.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/906ba2f77db39a6e782935af29ee17a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd48b07a618ad874d0056de5df5a5033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2020-08-07更新
|
277次组卷
|
4卷引用:山东省济南市莱芜第四中学2020-2021学年高三上学期期中数学试题
名校
解题方法
8 . 已知向量
的夹角为
,
,若
,则实数x的值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27bd29ca7ef74e563f80be8d55c6e35e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1f58770a43ff657a684b8da03fd686.png)
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2021-03-24更新
|
309次组卷
|
7卷引用:上海市徐汇中学2018-2019学年高二上学期期中数学试题
解题方法
9 . 已知向量
,且
,则
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887048c10ac18e17a2c58dc3cb40160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48c3e9099bb84e2773a90ad0ec7c517e.png)
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名校
解题方法
10 . 已知双曲线
的焦点为
,
,实轴长为2,则双曲线
的离心率是______ ;若点
是双曲线
的渐近线上一点,且
,则
的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c08475517a5a699eaf43e975a49855b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f00babe10971b71caf8cffb72412950d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98b4f48acc2dcef77f9d495a3c71747b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4085b194990fc17f8073878b8eca1a29.png)
您最近一年使用:0次
2020-07-14更新
|
984次组卷
|
7卷引用:广东省深圳市高级中学2020-2021学年高二上学期期中数学试题