在
中,
,D是
的中点,若向量
,且
的终点M在
的内部(不含边界),则
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a47d00d6498d2a65d281f328c2f06be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3810f4c80f0a45eb3563c8362098495e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa243c5f5f5db040d7c047b1c3a19d28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/206d7b2de0aea8d55b7c8bdd507cbd2f.png)
2015·江苏淮安·一模 查看更多[9]
更新时间:2019-10-10 22:53:35
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【知识点】 由向量线性运算解决最值和范围问题
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适中
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解题方法
【推荐1】定义:对于实数
和两定点
,在某图形上恰有
个不同的点
,使得
.称该图形满足“
度契合”,若边长为
的正方形
中,
且该正方形满足“
度契合”.则实数
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223ed9652852ca4d996fd1f20808df9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c709117ab1d3ef620883a732aed68b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c9f61566ee2e2132d1ba379eaaff9f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35ca528f0682dade074ad8dbeb4425a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
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【推荐2】已知两个向量
,则当
取得最小值时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16a90f77916fc28acaee5a10a674dccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8591596303451114650d318f91acdc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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