1 . 已知平面单位向量
,且
,记
,则y的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1454fcef553ffe0e341ac1d7af32a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0150d9c357f2f8f8deecacd3ef0545cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b54e29e2c4139d17f0e44282d84872.png)
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2 . 设P是
所在平面内一点,满足
,若
的面积为1,则
的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1df088833dbde38ba54e5a01ba42d1de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
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3 .
中,A、B、C的对边分别为a、b、c,O是
的外心,点P满足
,若
,且
,则
的面积为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf331d9e282b74a251b5ba90fa53d0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b1dd07c0571772e96d318f974724810.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e3d7ff3714e10fb99c3e034a28d257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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4 . 如图,在
中,
是边
上一点,且
.若点
满足
与
共线,
,则
的值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74effc94702a303938c6ffaea73c9e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c290cdc4cf3d6b82581e68ecaf5c7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07630df371b864a38c31c7a892afc17c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd98a891fa65f2fc6688001b03185d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25ea966ef10e746835367a4a505d1e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f20d76b3bba25d63ead24238a0dec3f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/3fd973d4-61b2-452a-a462-8005d6b6e263.png?resizew=155)
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