名校
1 . 如图,已知正方形
的边长为2,点
为正方形内一点.
![](https://img.xkw.com/dksih/QBM/2021/4/29/2710296903680000/2715216039837696/STEM/3bae4e5e8d8d4b4986a0d08c848ec8f9.png?resizew=296)
(1)如图1
(i)求
的值;
(ii)求
的值;
(2)如图2,若点
满足
.点
是线段
的中点,点
是平面上动点,且满足
,其中
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/2021/4/29/2710296903680000/2715216039837696/STEM/3bae4e5e8d8d4b4986a0d08c848ec8f9.png?resizew=296)
(1)如图1
(i)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b397a5aac82cc59f9d189801923b0d2.png)
(ii)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c5b8c2f382a4e11f8bc17c3c425fbe7.png)
(2)如图2,若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7733d699577409c0ea047ae271a8eaa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beca16d2f8a6a1b16e78f4678e08c2c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13e87088da41685cc8d433fbbe0e18d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f78d33e95e9a27695947a489ae3bf1.png)
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2021-05-06更新
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5卷引用:天津市南开中学2020-2021学年高一下学期期中数学试题