名校
1 . 如图,点P为函数
的图象上一点,且到两坐标轴距离相等,
半径为
,
,点
是
上的动点,点
是
的中点,则
的最小值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/245fcfd1a86d3a20f810682d7e148d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1d9218917d85a1dc19e60f076b8bfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4958b4ab618db469586f695f628d7721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1d9218917d85a1dc19e60f076b8bfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf702adb116c1e46569eb7050d029f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/1/5c766026-f0e0-41c3-ae74-8de2d990429d.png?resizew=168)
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2 . 如果把一个平面区域内两点间的距离的最大值称为此区域的直径,那么曲线
围成的平面区域的直径为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b79ffef55f4609e7d23a888e508464.png)
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3 . 在平面直角坐标系
中,设
,向量
,其中
,动点P满足
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a96bda2f374f74cfa244983a1879e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450743dbe1916012643039cd87a72263.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbe0890043f34b4575bf7bb3a773e32b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b768ea6a05cbf45b28fc46c501ba532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7b683529d8299e73e36ef06d0b1463d.png)
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