解题方法
1 . 在
中,内角
所对的边分别是
为锐角,且
.
(1)求角
的大小;
(2)从以下三个条件:①
的面积为
,②
,③
中,任选一个补充在下面的横线上,将题目补充完整并作答:若
,___________,求
的周长.
注:如果选择多个条件分别解答,则按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d5fde86526def0e73d57b5b76882fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e776ee540a862a0ee3b94d04cf6512.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)从以下三个条件:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0958c17b0d01520cbfe4528f16b45bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0540905b7cf21c8415e61359ee94abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
注:如果选择多个条件分别解答,则按第一个解答计分.
您最近一年使用:0次
名校
解题方法
2 . 已知A,B,C三点的坐标分别为
,
,
,是否存在实数m,使得A,B,C三点能构成直角三角形?若存在,求m的取值集合;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf5a6145990adf5574f0e0f2fc828ea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f89b18f69812fb34fd1290e2f1b36aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5137db135f70ea9ac92cc8969821fd.png)
您最近一年使用:0次
2022-08-23更新
|
240次组卷
|
3卷引用:云南省2022-2023学年高二上学期8月开学联考数学试题
解题方法
3 . (1)已知向量
满足
,求
的值.
(2)化简:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fa406867793c81e126119cd1cd046f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a00212b47f47f073833c3001b3463ac7.png)
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14ef8874cdff946162ef3b47640383df.png)
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4 . 已知向量
,
,
是同平面内的三个向量,其中
.
(1)若
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
,求向量
的坐标;
(2)若
是单位向量,
,求
与
的夹角
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc038d02f8c463d4102ac1d730408e6a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ed0703d32bda90a21d7c3d329e0b14f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dba82d5aece4691ea007fa1682f61654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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解题方法
5 . 如图,在平行四边形ABCD中,BD,AC相交于点O,设向量
,
.
![](https://img.xkw.com/dksih/QBM/2022/5/24/2986258300076032/2995511888650240/STEM/9de97c5c-711a-4ef4-bcac-847b592df251.png?resizew=256)
(1)若
,
,
,求证:
;
(2)若点P是平行四边形ABCD所在平面内一点,且满足
,求△ACP与△ACD的面积比;
(3)若
,
,点E,F分别在边AD,CD上,
,
,且
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7a93a1399ff7a2bde342652479241b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b54aa2b7f9adf409f0ce8e00615432.png)
![](https://img.xkw.com/dksih/QBM/2022/5/24/2986258300076032/2995511888650240/STEM/9de97c5c-711a-4ef4-bcac-847b592df251.png?resizew=256)
(1)若
![](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/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b82d16399c8b393539c774d06f410cbe.png)
(2)若点P是平行四边形ABCD所在平面内一点,且满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfcc49ef13196d82c91f1291b436616a.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27db558e8db4c957654c8e5cecd2d2dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55881285c3bea9e25144254cf2037540.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da346525c48808ae3dca8a05e4408b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec945b565730ef11fe66334927dede1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bc29cb1d0b8ca9c4d6286c892952653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
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解题方法
6 . 已知平面向量
,
,
,
,且
与
的夹角为
.
(1)求
;
(2)若
与
垂直,求
的值.
![](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/8e7f14dfa9f463d57664c640102bb5b8.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/ac1a63ab608517bb10aa036783dfb51f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e07882aa0d4087bd4e551dbfa437e31d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bca35e52b8430246a1cf96e9e617cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/501533ecf4b88ae5c99fd734bdba0b91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2022-04-08更新
|
938次组卷
|
7卷引用:云南省会泽县实验高级中学校2021-2022学年高一4月月考数学试题
21-22高二上·福建厦门·开学考试
名校
7 . 已知角
,
,
是
的内角,向量
,
,
.
(1)求角
的大小;
(2)求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/229b9c775390c6cd6b708aa01ac62a6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7236e8fb8c680c0065df93f477d15969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7cb5138a03b19266f82223899a614f7.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b96a95a7a0df1e8c3f366ebdd938a29.png)
您最近一年使用:0次
2021-09-25更新
|
894次组卷
|
4卷引用:云南省玉溪市江川区第一中学2021-2022学年高二下学期第一次月考数学试题
云南省玉溪市江川区第一中学2021-2022学年高二下学期第一次月考数学试题浙江省北斗联盟2021-2022学年高二上学期期中联考数学试题(已下线)福建省厦门市湖滨中学2021-2022学年高二上学期开学收心练习数学试题浙江省北斗联盟2021-2022学年高二上学期中联考数学试题