13-14高一下·辽宁·期末
解题方法
1 . 在△ABC中,中线长AM=2.
![](https://img.xkw.com/dksih/QBM/2014/7/9/1571817696583680/1571817702449152/STEM/52ebb2e712a8401392defa4d064136e7.png)
(1)若
=-2
,求证:
+
+
=0;
(2)若P为中线AM上的一个动点,求
·(
+
)的最小值.
![](https://img.xkw.com/dksih/QBM/2014/7/9/1571817696583680/1571817702449152/STEM/52ebb2e712a8401392defa4d064136e7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/858bf8324a9ea8db1a257714ff8afc01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/716c8814c6e33b4f44d18a9139d6c8f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/858bf8324a9ea8db1a257714ff8afc01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b3448a1728b998469d1fcaef320d68a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d83068d268aff56766c0d9ac067e040d.png)
(2)若P为中线AM上的一个动点,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a560e43ca4b2d4ceea4d649629bfcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df05ffe9579736c9f11124918e0d5d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97bddad065b462b5002074195217d0a0.png)
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