解题方法
1 . 已知向量
,
.
(1)求
,
的坐标;
(2)求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f4dcf415977dea53f52a85b6b82136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22239cc665491de6aa73e4ead188b44f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed492f7b29166ba5c1f0023b05a439c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6960cfeeb67cb018b5c98015b56fe897.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b6fbff85947f4df50ae1b17e967a158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
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解题方法
2 . 设两条直线
和
的交点A,
(1)经过点A且与直线
平行的直线方程;
(2)经过点A的直线l与x轴和y轴的正半轴交于M,N两点,且
的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f2d76689541b83b75703310b711a311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f6b7161d2d7c643c8df9d4baf0ab758.png)
(1)经过点A且与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eb4a5e7b928549752db8f17aa305484.png)
(2)经过点A的直线l与x轴和y轴的正半轴交于M,N两点,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1a5edb71f42f78bf3b3d3a263d41e36.png)
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3 . 已知三点
.
(1)求证:
为等腰直角三角形;
(2)若直线
上存在一点P,使得
面积与
面积相等,求点P的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d55acb6e8b53ada3a6f364c09260066.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b740d1f7ec8da97b4bd1f55378f9fbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
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4 . 在
中,角
所对的边为
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d81258504e21deabb5569918dbecd80.png)
(1)求角
的大小;
(2)设向量
,试求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d81258504e21deabb5569918dbecd80.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)设向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de2c914b130add15151f8eb2e3749578.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2356d562e4e5f11e018bf7d408eb1bf.png)
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5 . 已知向量
,
,
.
(1)求
;
(2)求满足
的实数m,n;
(3)若
,求实数k.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa84a3b52fcaed4a313e14fae2897db0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fed0109bdcad81ac1612af29837992f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31dc4ee08a6c7cf709ea530009eb1770.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68febcb2eae77c1d68cae6492ce5b13b.png)
(2)求满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f7f95ce65210df041aceb7bc7e7c36.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff4cb034764e5f885bc9018e027432f.png)
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2019-12-31更新
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6 . 已知
.
(1)求点
的坐标;
(2)若点
在第二象限,用
表示
;
(3)设
,若
与
垂直,求
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc654cb9c6332c55f6aa8c9a4de84bef.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b704dc322a545a3ebf6979900d13c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c436b63e793d6d39990341d29cf47f10.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d05c60803d5f268abe0c12a985f13b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a0aa58ce19a3432676fc18de1a925a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e00b863991d441829e9ccbc21a796301.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e00b863991d441829e9ccbc21a796301.png)
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2017-11-17更新
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