(1)化简:
;
(2)已知两个非零向量
和
不共线,
.求证:
三点共线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77f3ad898ec4a8ed995ad0ceb13ed5f2.png)
(2)已知两个非零向量
![](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/f7a38658a666b35ae0878fb77619fd24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65183d238c9bc2be73770717d890683.png)
更新时间:2024-04-04 07:53:46
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解答题-问答题
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【推荐1】在平面直角坐标系中,已知
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(2)
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【推荐2】如图所示,在
中,
是边
的中点,
是线段
的中点.过点
的直线与边
,
分别交于点
,
.设
,
,
,
.
;
(2)求证:
为定值;
(3)设
的面积为
,
的面积为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9763846b1131e1e3e2d741ad95d5bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
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【推荐1】设两个非零向量
和
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(1)如果
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解题方法
【推荐2】如图,边长为2的正方形ABCD中,M为AB的中点,N为BD靠近B的一个三等分点,求证:M,N,C三点共线.
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