1 . 平面上的两个向量
,
满足
,
,且
,
.向量
,且
.
(1)如果点
为线段
的中点,求证:
;
(2)求
的最大值,并求此时四边形
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68628a408537b1cf3bf1ca2a69731b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a8cda116f996002aa924d5c014ba0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ce330b3ac77225077d5b05b653b9613.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bfe4da6f357e55927d25d9d27ea8717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0904a72b63d7c4fa77e7cbe9cb8448ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85741b549aac0ee8567368f6b7e020c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d2b60c8c7abac8fd543ce8ce442cbd2.png)
(1)如果点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df8575d9e39f56b6260658643fede26.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f0e6d3115e900f1a359ec4f894e8896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14e902eb263971b466d0fcd91c56b453.png)
您最近一年使用:0次
2017-02-08更新
|
755次组卷
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2卷引用:第十二届高一试题(B卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)