名校
解题方法
1 . 已知平面上的线段l及点P,任取l上一点Q,线段PQ长度的最小值称为点P到线段l的距离,记作
.
(1)求点
到线段l:
的距离
;
(2)设l是长为2的线段,求点的集合
所表示的图形面积;
(3)写出到两条线段
、
距离相等的点的集合
,其中
,
,
,
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87ab04028bf648fbb8c9296acdeaaf5a.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c9708ef0dc6d6f5dcf6596d3e4f6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47508ee3fdaf58b179deb10c9235c25e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87ab04028bf648fbb8c9296acdeaaf5a.png)
(2)设l是长为2的线段,求点的集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db1981136b22c60c0d63bae0e334fa53.png)
(3)写出到两条线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d286e7114c4c11153abc93a5656d6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9792659bdb65cc3136d1a96d8868fd3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22b338a8c8993eaaaa53572fae7b97c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f73d19452142cdcb8081b9bc7393e78b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d65b917c6c06d836e7aad44c14bc884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/594b0c17118a9055910a2ee5d631d611.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3e471f3556fa2ccdc93408aad4faef.png)
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2021-12-24更新
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4卷引用:上海市奉贤中学2021-2022学年高二上学期12月月考数学试题
上海市奉贤中学2021-2022学年高二上学期12月月考数学试题上海市嘉定区第一中学2021-2022学年高二下学期3月月考数学试题(已下线)附加篇:直线与方程(向量法)(已下线)第1章 坐标平面上的直线 (压轴题专练)-2023-2024学年高二数学单元速记·巧练(沪教版2020选择性必修第一册)
名校
2 . 已知
、
(其中
)
为坐标原点.
(1)动点
满足
(
),求点
的轨迹方程;
(2)设
,
,…,
是线段
的
(
)等分点,当
时,求
的值;
(3)若
,
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3160fc73f2a90ae4a1a97351ab2673b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9199b50dd0036be9b764c621d1d46f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eae9ba258299eb489b490594397e23c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5053bb7fd22f8e02f9470b226c022fca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd9736828195f010db4e1f0a9dea7a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eb90a2118db1e9945d7b5997bf2482a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72bdc4779e83088e05d9bad18f888c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a60ada442f219acec13f64bfd3c62a7f.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48adb8a59b5c02fad5eada1b35171cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d348672c1672a6f06295f3050c229c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f69287f39c0d0b24db86b12100b1a7d9.png)
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