名校
解题方法
1 . 已知椭圆
的两焦点是
,点
在椭圆
上,且
,
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/9a9d167d-dd28-4b3d-9767-6ef090e8f674.png?resizew=267)
(1)求椭圆的方程;
(2)过椭圆
上点
的直线
与
,
轴的交点分别为
且
.若
关于原点对称,
关于原点对称,且
,求四边形
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3e6f7933ab5f681124d3be486b39964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae8339ac52e677de1c4abd8da8b9d715.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/191e64e3927df040c4ee9f35e9fe89cd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/9a9d167d-dd28-4b3d-9767-6ef090e8f674.png?resizew=267)
(1)求椭圆的方程;
(2)过椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb862db0a8299bdfb1d772a2312e27c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5258badee7cbd4a4f119b5851e61022d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdb21011ea821b91d539cb763aac649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619e9e7421903f691625f42b7604a2af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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名校
2 . 如图,在
中,
,点
在线段
上移动(不含端点),若
,则
的取值范围是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd7a991701089f56fbb6aaea38bc2668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac6d3a9471a1576966df3e4d047a91c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39912309cee2d068dbd76ba3778e0d1c.png)
![](https://img.xkw.com/dksih/QBM/2020/5/9/2459147997995008/2462434906095616/STEM/2651280dab824669860e3c87fc99016f.png?resizew=227)
您最近一年使用:0次
2020-05-14更新
|
5713次组卷
|
16卷引用:江西省宜春市万载中学2021-2022学年高一(提升班)5月月考数学试题
江西省宜春市万载中学2021-2022学年高一(提升班)5月月考数学试题重庆市外国语学校2019-2020学年高一下学期期中数学试题黑龙江省实验校2020届高三第三次模拟考试数学(理)试题(已下线)考点56 平面向量的线性运算及基本定理(练习)-2021年高考数学复习一轮复习笔记(已下线)考点18 平面向量的基本定理及坐标表示-备战2021年高考数学(文)一轮复习考点一遍过(已下线)考点19 平面向量的基本定理及坐标表示-备战2021年高考数学(理)一轮复习考点一遍过(已下线)考点17 平面向量的线性运算与基本定理-2021年新高考数学一轮复习考点扫描(二)(已下线)考点26 平面向量的概念、平面向量的基本运算(考点专练)-备战2021年新高考数学一轮复习考点微专题(已下线)【新东方】双师193高一下(已下线)高一数学下学期期中精选50题(压轴版)-2021-2022学年高一数学考试满分全攻略(人教A版2019必修第二册)(已下线)高一下期中真题精选(压轴60题专练)-【满分全攻略】2022-2023学年高一数学下学期核心考点+重难点讲练与测试(人教A版2019必修第二册)专题01平面向量的概念与运算(已下线)专题11 平面向量小题全归类(练习)(已下线)重难点专题04 妙用等和线解决平面向量系数和、差、商问题-【帮课堂】(苏教版2019必修第二册)(已下线)专题01 平面向量压轴题(1)-【常考压轴题】新疆乌鲁木齐市第101中学2023-2024学年高一下学期第一次月考数学试卷
真题
解题方法
3 . 在直角坐标系
中,已知点
,点
在
三边围成的区域(含边界)上,
(1)若
,求
;
(2)设
,用
表示
,并求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210b3926a61f2dd9465eb906a32491ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d8da1c45a993e5549f3d18a0dd79713.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f0e6d3115e900f1a359ec4f894e8896.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11b0c81b9b0e0cb0abd33fd84f325d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72850427e83ff19a24305783e080b280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72850427e83ff19a24305783e080b280.png)
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4 . 在边长为
的正三角形
中,
,
,
且
,则
的最小值等于__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a033dd4e01c1171ac0018f735d8530fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4c211987840d15334cc1bf7367dc2a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/220e57b2519b63e6812c986d8ddbe76a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d8348995aff607dd54002f57ab37f08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a76b1d9cd7bf58ad0115f483e5336e.png)
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2018-05-05更新
|
1238次组卷
|
2卷引用:【全国百强校】江西省高安中学2017-2018学年高一6月月考数学试题
5 . 在平行四边形ABCD中,点E是AD的三等分点,AE=2ED,BE与AC相交于点F,若
=m
+n
(m,n∈R),则
的值为______ .
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572235016364032/1572235022376960/STEM/c1a65ec006ed4539bb54fe36943ebdc1.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572235016364032/1572235022376960/STEM/58ffa2f4dcfd4a0899d9dcfa9326d747.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572235016364032/1572235022376960/STEM/65f698a6b5464f919fa54eebec87813c.png?resizew=28)
![](https://img.xkw.com/dksih/QBM/2015/9/23/1572235016364032/1572235022376960/STEM/bf2dd30220434e4f91fbb08885cdb306.png?resizew=20)
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6 . 设向量
,
,其中
,
,
为实数.
(1)若
,求
的最小值;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/470955e0ba462ec27e4ecf289d0e26af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b6222f2dff66ce212acaf92119af3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0acaaff6f066b088455b1c8610650fa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602d32c271f3c70a3cff9ad6422c69b7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9412f10b1db89bd924ad7beadc83331b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/706e9acb62e73fac4c23fdbbd8a41a0d.png)
您最近一年使用:0次
2016-12-03更新
|
2169次组卷
|
5卷引用:江西省宜春市樟树中学2017-2018学年高一下学期第三次月考数学(理)试题