2012·福建福州·一模
名校
1 . 如图,圆
与
轴相切于点
,与
轴正半轴相交于
两点(点
在点
的下方),且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/9f1e1599-2835-4ff8-ad46-aed81e934d71.png?resizew=167)
(1)求圆
的方程;
(2)过点
任作一条直线与椭圆
相交于两点
,连接
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6614916203fe0146d6797138da3db4a.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc5931d25e50c27e61e78347f9370e6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/9f1e1599-2835-4ff8-ad46-aed81e934d71.png?resizew=167)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c763113a1fc48e8acc83787b8cd24eec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/729cf1d18cbb0ff509b51be7c445c34e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d5ce23462dfd28929430b74b9590940.png)
您最近一年使用:0次
2016-12-01更新
|
1807次组卷
|
21卷引用:2012届福建省福州市高三综合练习理科数学试卷
(已下线)2012届福建省福州市高三综合练习理科数学试卷(已下线)2012届福建省福州市高三综合练习文科数学试卷2015届陕西西北工业大学附中高三下学期四模考试理科数学试卷2015届陕西西北工业大学附中高三下学期四模考试文科数学试卷2016届山西省康杰中学等校高三上学期第二次联考文科数学试卷2016届江西省高安中学等九校高三下学期联考文科数学试卷2015-2016学年广东广州执信中学高二下期末文科数学试卷2017届甘肃高台县一中高三文上学期检测五数学试卷2017届甘肃省高台县第一中学高三上学期期末考试文数试卷2017届湖北省黄冈市高三3月份质量检测数学(文)试卷2017届湖北省黄冈市高三3月份质量检测数学(理)试卷2017届宁夏中卫市高三第二次模拟考试数学(文)试卷甘肃省武威第二中学2018届高三上学期期末考试数学(文)试题【全国校级联考】峨眉山市第七教育发展联盟2018届高考适应性考试文科数学试题【校级联考】新余四中、上高二中2019届高三第一次联考数学(文)试题【市级联考】湖南省衡阳市2019届高三下学期第一次联考数学(文)试题【全国百强校】湖南省衡阳市第一中学2018-2019学年高二下学期第一次月考数学(文)试题上海市延安中学 2018-2019学年高二上学期期末数学试题2019届湖南省衡阳市高三第一次模拟文科数学试题河南省焦作市第一中学2022-2023学年高二下学期期中数学试题湖南省长沙市雅礼中学2024届高三下学期月考(七)数学试题
11-12高三上·北京东城·期末
2 . 设A,B分别为椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3de4b2b286eef9210f677af0bfae04ae.png)
的左、右顶点,椭圆的长轴长为
,且点
在该椭圆上.
(1)求椭圆的方程;
(2)设
为直线
上不同于点
的任意一点,若直线
与椭圆相交于异于
的点
,证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
为钝角三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3de4b2b286eef9210f677af0bfae04ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f82eb4ba631d0f50d848aa6e576b379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e684712aade8dcebb62716843791034.png)
(1)求椭圆的方程;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e32f16d75ccb62a04970f861827fca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d9d4662edaa19665d9890888f6e2e0.png)
您最近一年使用:0次
2016-11-30更新
|
790次组卷
|
3卷引用:2011届北京市东城区高三上学期期末理科数学卷
10-11高三上·广东深圳·期中
3 . 已知椭圆的中心在原点,焦点在
轴上,长轴长是短轴长的2倍且经过点
,平行于
的直线
在
轴上的截距为
,
交椭圆于
两个不同点.
(1)求椭圆的标准方程以及
的取值范围;
(2)求证直线
与
轴始终围成一个等腰三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85d23fc512ad69a2d5919ce690407704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87484a879f450ab097f720fb2a0f4a2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(1)求椭圆的标准方程以及
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)求证直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03df57efff473b3cfeb8503796b7d6b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
2017-08-20更新
|
577次组卷
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7卷引用:2011届广东省深圳高级中学高三上学期期中考试数学理卷
(已下线)2011届广东省深圳高级中学高三上学期期中考试数学理卷(已下线)2010-2011年江西省鄱阳县油墩街中学高二下学期期中考试理科数学(已下线)2010-2011学年重庆市“名校联盟”高二第一次联考文科数学试卷(已下线)2013届云南玉溪一中高三上学期期中考试文科数学试卷(已下线)2012-2013学年山东省济宁市汶上一中高二12月质检理科数学试卷江西省新余市2016-2017学年高二下学期期末质量检测数学(理)试题湖北省恩施州2019-2020学年高二上学期期末数学(理)试题
2014·北京昌平·二模
4 . 已知椭圆
的左右焦点分别为
,点
为短轴的一个端点,
.
(1)求椭圆
的方程;
(2)如图,过右焦点
,且斜率为
的直线
与椭圆
相交于
两点,
为椭圆的右顶点,直线
分别交直线
于点
,线段
的中点为
,记直线
的斜率为
.
求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84e2f2d391b1e6304eb2bba560d0ccdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b9ee165fff07f902ab60ee54fcb1f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e6558d22c2ab634a0929fcb75f4b97.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)如图,过右焦点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c471fc77430cf0c3a90f8513ebf68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26260c10afb34f543d86b67898134f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69f90b1f89215b0f848d8b29542e51d0.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ee1b62f7a91af431d9217079419fdf6.png)
![](https://img.xkw.com/dksih/QBM/2014/6/3/1571746933161984/1571746939027456/STEM/329afe870b754e469a7c10a2fb8d2715.png)
您最近一年使用:0次
13-14高三上·江苏扬州·阶段练习
解题方法
5 . 如图所示,已知圆
为圆上一动点,点
是线段
的垂直平分线与直线
的交点.
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485997678592/1571486003093504/STEM/0d1c9e38dad240e08cbafd537e2365ba.png)
(1)求点
的轨迹曲线
的方程;
(2)设点
是曲线
上任意一点,写出曲线
在点
处的切线
的方程;(不要求证明)
(3)直线
过切点
与直线
垂直,点
关于直线
的对称点为
,证明:直线
恒过一定点,并求定点的坐标.
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485997678592/1571486003093504/STEM/ca55511e6f2243b4a497469654befa0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485997678592/1571486003093504/STEM/1419fd323f0b4f1f80b360dcd273d74c.png)
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485997678592/1571486003093504/STEM/34746eedc7114b0aaf053a5a5a507560.png)
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485997678592/1571486003093504/STEM/0d1c9e38dad240e08cbafd537e2365ba.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485997678592/1571486003093504/STEM/b3a4768d331b4176aa14ebe195163c01.png)
(2)设点
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485997678592/1571486003093504/STEM/e1da11ecc87449fcbfb4b763cffceb7a.png)
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485997678592/1571486003093504/STEM/b3a4768d331b4176aa14ebe195163c01.png)
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485997678592/1571486003093504/STEM/b3a4768d331b4176aa14ebe195163c01.png)
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485997678592/1571486003093504/STEM/e1da11ecc87449fcbfb4b763cffceb7a.png)
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485997678592/1571486003093504/STEM/323a18df83f2425d9b0cc5422498260f.png)
(3)直线
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485997678592/1571486003093504/STEM/1e0444fd4b8e45018a87449de89e66e3.png)
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485997678592/1571486003093504/STEM/e1da11ecc87449fcbfb4b763cffceb7a.png)
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485997678592/1571486003093504/STEM/323a18df83f2425d9b0cc5422498260f.png)
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485997678592/1571486003093504/STEM/62752b23b53c40ec8adf92f08132bc26.png)
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485997678592/1571486003093504/STEM/1e0444fd4b8e45018a87449de89e66e3.png)
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485997678592/1571486003093504/STEM/3587880221084256b5f9172159f22149.png)
![](https://img.xkw.com/dksih/QBM/2014/1/17/1571485997678592/1571486003093504/STEM/62fc5b061c214957b533a50bcc35ac28.png)
您最近一年使用:0次
2013·内蒙古赤峰·一模
解题方法
6 . 已知椭圆的中心在原点,焦点在
轴上,焦距为
,且经过点
,直线
交椭圆于不同的两点A,B.
(1)求
的取值范围;,
(2)若直线
不经过点
,求证:直线
的斜率互为相反数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e609d7f5a3b904e30f43fbbc26033d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ba9d9535a1d7e34f66db9da0861394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4a4e7f32bcb8da18f6ee90262c8b64.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03df57efff473b3cfeb8503796b7d6b6.png)
您最近一年使用:0次
2011·北京朝阳·一模
名校
7 . 已知
,
为椭圆
的左、右顶点,
为其右焦点,
是椭圆
上异于
,
的动点,且
面积的最大值为
.
(Ⅰ)求椭圆
的方程及离心率;
(Ⅱ)直线
与椭圆在点
处的切线交于点
,当直线
绕点
转动时,试判断以
为直径的圆与直线
的位置关系,并加以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44095accc17467f9721ef46c879d8613.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7406e11d72eaece13b00dd40b5c300b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af2cc5f8cec8c498aa12c99c04e1c97d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
(Ⅰ)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(Ⅱ)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
您最近一年使用:0次
2016-11-30更新
|
879次组卷
|
6卷引用:2011届北京市朝阳区高三第一次综合练习数学理卷
(已下线)2011届北京市朝阳区高三第一次综合练习数学理卷(已下线)2011届年山东省枣庄市高三4模拟考试理数2015届福建省福州市第八中学高三毕业班第六次质量检查理科数学试卷(已下线)2013届中国人民大学附属中学高考冲刺二理科数学试卷北京东城区171中学2018届高三上学期期中考试数学试题河南省睢县高级中学(清北部)2021-2022学年高三上学期12月月考数学(理)试题
2012·江西·一模
8 . 已知椭圆的中心在原点,准线方程为x=±4,如果直线
:3x-2y=0与椭圆的交点在x轴上的射影恰为椭圆的焦点.
(1)求椭圆方程;
(2)设直线
与椭圆的一个交点为P,F是椭圆的一个焦点,试探究以PF为直径的圆与椭圆长轴为直径的圆的位置关系;
(3)把(2)的情况作一推广:写出命题(不要求证明)
![](https://img.xkw.com/dksih/QBM/2012/3/19/1570810136952832/1570810142212096/STEM/10bd537a2fb44a41863d7f83d5bed171.png)
(1)求椭圆方程;
(2)设直线
![](https://img.xkw.com/dksih/QBM/2012/3/19/1570810136952832/1570810142212096/STEM/10bd537a2fb44a41863d7f83d5bed171.png)
(3)把(2)的情况作一推广:写出命题(不要求证明)
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11-12高三下·江西赣州·阶段练习
9 . 已知平面上的动点P(x,y)及两定点A(-2,0),B(2,0),直线PA,PB的斜率分别是k1,k2,且k1·k2=-
.
(1)求动点P的轨迹C的方程;
(2)已知直线l:y=kx+m与曲线C交于M,N两点,且直线BM、BN的斜率都存在,并满足kBM·kBN=-
,求证:直线l过原点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
(1)求动点P的轨迹C的方程;
(2)已知直线l:y=kx+m与曲线C交于M,N两点,且直线BM、BN的斜率都存在,并满足kBM·kBN=-
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
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2012·山东青岛·一模
10 . 已知椭圆
的左焦点
,若椭圆上存在一点
,满足以椭圆短轴为直径的圆与线段
相切于线段
的中点
.
(Ⅰ)求椭圆
的方程;
(Ⅱ)已知两点
,
及椭圆
,过点
作斜率为
的直线
交椭圆
于
两点,设线段
的中点为
,连接
,试问当
为何值时,直线
过椭圆
的顶点?
(Ⅲ) 过坐标原点
的直线交椭圆
于
两点,其中
在第一象限,过
作
轴的垂线,垂足为
,连接
并延长交椭圆
于
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a200ca2c4af794f4d1c6a5443830b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0504f6c0f4cb7666c694a1db2f373a2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c1dd5a3f83a7455eb3630364397accc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c1dd5a3f83a7455eb3630364397accc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(Ⅰ)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(Ⅱ)已知两点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23728b4c0467a27d90f71b424f6a946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25e326fdf9e5456f48e8a99a069f379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31c658c616ec2cb3a094f63ebf438421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f48b13302f60a4e02d6cb2b396480f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8c8034aef9ecb15c709331282b96eeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(Ⅲ) 过坐标原点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ddc37effa04523ee0b53ed8ba2d6ce1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/148893831954124f313e725811b1b6cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83640592853a53872d7af69c0cffc1bb.png)
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