已知C是平面
上一点,
,
.
(1)若
,求
的值;
(2)若
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7cad5d540488b66699a2cc72b882d8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be3feb68b706f7071fce6c3f716ba9f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec92d556c107f92dddb25625d3560309.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5500e8be96f83fb8c782002b878a44a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596f68ba4b746cab4b2c26ffce554b5a.png)
更新时间:2023-10-22 19:35:51
|
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解答题-问答题
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较易
(0.85)
【推荐1】如图所示,
为
内一点,直线
交
于点
,直线
交
于点
,直线
交
于点
,
,
,
,
,
,
.连接
、
、
,试用
,
,
,
,
,
表示下列向量.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/9d03a68b-8503-4087-9590-b543f69813f3.png?resizew=158)
(1)
;
(2)
;
(3)
;
(4)
;
(5)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf1438142deeac876fc7dc50552e552.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a122e25cf4eb9f03ffe5ec823bfc31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6942bd9fc5d090de0cfad7022aa32f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84cc63e33fe47da2704cff57d148dde0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a47428d284e050dc6d3ac832cc78a1c.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b2908d4b82d1d01dbb787f436ff166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b42cd8b24d5d49a3d999968df89ded.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab17635a999236e8d2e35017a208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c308ea87b699ee1dcb879a568899de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358d896d9eab84c6695ddc25196e6857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3cc805723d3ecc95b4472d13bb1bb6.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/19/9d03a68b-8503-4087-9590-b543f69813f3.png?resizew=158)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c436b63e793d6d39990341d29cf47f10.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d036188ce294e3c7427d0b7d2294fd2.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ca25557ce2604a422bfcd17cb8d607.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/470ca1e976544f26d1e80ee150223694.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ef75a593d07b4fd10c194801d19ecc.png)
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解题方法
【推荐2】如图,已知M,N分别是四边形ABCD的边AB,CD的中点,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18ed2b2a1685aebe5cf3aefc67b29496.png)
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解答题-计算题
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【推荐1】化简下列各式:
(1)(
+
)+(![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eec39ea9c89f33bbf117b60b39fbc34.png)
);
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de0b77c5efb0171e572616cd663d2e4.png)
;
(3)
;
(4)
;
(5)
(1)(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42518891f8d7c97b5fb700de3440257b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eec39ea9c89f33bbf117b60b39fbc34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d1f02d666ecf3360b8f8e7e37975016.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de0b77c5efb0171e572616cd663d2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bc2f5ebf4a5f75d85e8b1ee7779a71a.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619321979a7c9e0dd54091b54d1a1114.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec30994403b717f08912732b22be5708.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e3a7011ab96c4a4a76d9beb5321ac88.png)
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名校
【推荐3】如图,在
中,
,点
在线段
上,且
.求:
的长;
(2)
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4d92b876a19f1934b6cb6b5774dac00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2544d2219b85e4f5fa78ff110a7a1e30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721c75fcd58d3d54260aad0f82e09e37.png)
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【推荐1】如图,点
分别是角
的终边与单位圆的交点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/1615518f-692a-453c-a909-a57807ed2678.png?resizew=187)
(1)若
,
,求
的值;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c44ad927dca1847d535e4d3b7fdf7860.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/1615518f-692a-453c-a909-a57807ed2678.png?resizew=187)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e6e786cf092be7473ed346780477ea1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6315bec7b40787760632a64a3bebdaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f407134cad46827104d6654d92db1198.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff8eb79da2ae1202feebf45ba5e795c.png)
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解题方法
【推荐2】已知
的内角A,
,
的对边分别为
,
,
,且
,
,___________,求
的周长.
从下列三个条件中任选一个,补充在上面问题的横线中,然后对题目进行求解.条件①:
;条件②:
,条件③:
.
注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fbae55ca4c14f89655579a808108fc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f002f960ec07ea229ed243e2d991d83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3631ef304992b6c0c592be4dd158edba.png)
从下列三个条件中任选一个,补充在上面问题的横线中,然后对题目进行求解.条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06270b5fcc519caf248cb6e7ca650eb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c05674802a7beef6101a63ae661d86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b7a100ee347218f036d8165bb9c72b.png)
注:如果选择多个条件分别解答,按第一个解答计分.
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