名校
解题方法
1 . 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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