真题
1 . 已知半椭圆
与半椭圆
组成的曲线称为“果圆”,其中
,如图,设点
,
,
是相应椭圆的焦点,
,
和
,
是“果圆” 与
,
轴的交点,
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/d4983d13-4a99-4ce1-b62e-efaeab41052a.png?resizew=196)
(1)若三角形
是边长为1的等边三角形,求“果圆”的方程;
(2)若
,求
的取值范围;
(3)一条直线与果圆交于两点,两点的连线段称为果圆的弦,是否存在实数
,使得斜率为
的直线交果圆于两点,得到的弦的中点的轨迹方程落在某个椭圆上?若存在,求出所有
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22178ee98809feea0b6d87241c7ba288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bac3c81b918cea613f50c3906aaf308f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897e8bdeaf866ad7e7a7766407747698.png)
![](https://img.xkw.com/dksih/QBM/2010/8/14/1569815933599744/1569815938957312/STEM/8a16461f51884e51a19168bf0ce9427e.png?resizew=20)
![](https://img.xkw.com/dksih/QBM/2010/8/14/1569815933599744/1569815938957312/STEM/6227007089774e69b8057366d3622a33.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2010/8/14/1569815933599744/1569815938957312/STEM/e1be838088a7401389383e1689c012e4.png?resizew=20)
![](https://img.xkw.com/dksih/QBM/2010/8/14/1569815933599744/1569815938957312/STEM/ac70255e73404b1195c319d3261b2dec.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2010/8/14/1569815933599744/1569815938957312/STEM/102c8181acca48468e544c70977e8952.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2010/8/14/1569815933599744/1569815938957312/STEM/59b7e61be7a04fbfb6162a78dcf0e595.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2010/8/14/1569815933599744/1569815938957312/STEM/49bb1209769f4c228fa38236ae05e224.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2010/8/14/1569815933599744/1569815938957312/STEM/08c24998755a4f058d4eb81e9785b8ae.png?resizew=12)
![](https://img.xkw.com/dksih/QBM/2010/8/14/1569815933599744/1569815938957312/STEM/0ddf3ad153c3482da03b47d49f07eea7.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/d4983d13-4a99-4ce1-b62e-efaeab41052a.png?resizew=196)
(1)若三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f7c3dd91f877cfc0bcb9a91cc9ad379.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34d9667407cf0e972bc68d2a65fe3a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
(3)一条直线与果圆交于两点,两点的连线段称为果圆的弦,是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
真题
2 . 在平面直角坐标系
中,已知双曲线
.
(1)过
的左顶点引
的一条渐近线的平行线,求该直线与另一条渐近线及x轴围成的三角形的面积;
(2)设斜率为1的直线l交
于P、Q两点,若l与圆
相切,求证:OP⊥OQ;
(3)设椭圆
. 若M、N分别是
、
上的动点,且OM⊥ON,求证:O到直线MN的距离是定值.
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630438400/STEM/931be57683cd4318ac07f21e1eb0c354.png?resizew=32)
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630438400/STEM/e7b66fb4cd8d49a5b09871199d0e62bc.png?resizew=105)
(1)过
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630438400/STEM/2fcca4ba9ff345cab455f1aa7ce8a065.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630438400/STEM/2fcca4ba9ff345cab455f1aa7ce8a065.png?resizew=19)
(2)设斜率为1的直线l交
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630438400/STEM/2fcca4ba9ff345cab455f1aa7ce8a065.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630438400/STEM/76d06d2e8d1b41b9968909d18ff4de27.png?resizew=72)
(3)设椭圆
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630438400/STEM/bfd175367c20475785eedc05a0d07515.png?resizew=107)
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630438400/STEM/2fcca4ba9ff345cab455f1aa7ce8a065.png?resizew=19)
![](https://img.xkw.com/dksih/QBM/2012/6/15/1570887624867840/1570887630438400/STEM/2f2e9b54307d4ef98ec34024770217ac.png?resizew=20)
您最近一年使用:0次
真题
名校
3 . 设F1,F2为椭圆
的两个焦点,P为椭圆上的一点,已知P,F1,F2是一个直角三角形的三个顶点,且|PF1|>|PF2|,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6205da5e1d2730ee0b3de8bca3e29f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e84e3a6855369ad6cb75ad7874f5d3.png)
您最近一年使用:0次
2018-10-04更新
|
999次组卷
|
8卷引用:2001年普通高等学校招生考试数学(文)试题(上海卷)
2001年普通高等学校招生考试数学(文)试题(上海卷)上海市第四中学2018-2019学年高二上学期期中数学试题2001年普通高等学校招生考试数学(理)试题(上海卷)(已下线)2012年人教A版高中数学选修2-1 2.2椭圆练习卷(已下线)二轮复习 【理】专题24 数学思想方法 押题专练(已下线)二轮复习【文】专题22 数学思想方法 押题专练2018-2019人教A版高中数学选修2-1第三章 空间向量与立体几何 模块综合评价(已下线)秒杀题型03 焦点三角形(椭圆与双曲线)-2020年高考数学试题调研之秒杀圆锥曲线压轴题
真题
名校
4 . 在平面直角坐标系xOy中,已知椭圆
,
为
的上顶点,
为
上异于
上、下顶点的动点,
为x正半轴上的动点.
(1)若
在第一象限,且
,求
的坐标;
(2)设
,若以A、P、M为顶点的三角形是直角三角形,求M的横坐标;
(3)若
,直线AQ与
交于另一点C,且
,
,
求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddb44a5a99b50743fe791db17ed89460.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
上、下顶点的动点,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5df6ed5bf5770d7f2ec596bbe021553.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d4b5f5cc65643f9696413d9181a820.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321425a740f7c8d4b35d61ca4d4454d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc1f7056fc7a435f14c335c85c65c185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/105c5f61f350ae29b7bc05dd36b02134.png)
求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
您最近一年使用:0次
2018-03-28更新
|
2452次组卷
|
6卷引用:2017年普通高等学校招生统一考试数学(上海卷)
2017年普通高等学校招生统一考试数学(上海卷)上海市行知中学2018-2019学年高三下学期3月月考数学试题上海市青浦高级中学2021届高三高考数学综合练习试题(一)(已下线)专题11 圆锥曲线-五年(2017-2021)高考数学真题分项(新高考地区专用)(已下线)专题24 解析几何解答题(理科)-1(已下线)专题24 解析几何解答题(文科)-4
真题
名校
5 . 已知在平面直角坐标系
中的一个椭圆,它的中心在原点,左焦点为
,右顶点为
,设点
.
(1)求该椭圆的标准方程;
(2)若
是椭圆上的动点,求线段
中点
的轨迹方程;
(3)过原点
的直线交椭圆于点
,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46542271c7fa06f33b222424838c9684.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/269a51e0f77f63bae2df3dc8b1d4f455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3121286332a886070029e070fea0e4.png)
(1)求该椭圆的标准方程;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(3)过原点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
您最近一年使用:0次
2017-11-27更新
|
1280次组卷
|
6卷引用:2006 年普通高等学校招生考试数学(文)试题(上海卷)
真题
名校
6 . 双曲线
的左、右焦点分别为
,直线
过
且与双曲线交于
两点.
(1)若
的倾斜角为
,
是等边三角形,求双曲线的渐近线方程;
(2)设
,若
的斜率存在,且
,求
的斜率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c132c7636110fbddb63bc98dbdab43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7f8b831050856eb05b6de9133895310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7bdc75c9a9fba398e737d4832101f60.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39dbe82ca6af4a2d5776b03fbfe73fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559581b77b98a97554bed3009e145a0c.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5742b2684d00be50a66e01c9acb6b51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e3e25861f506cadea3a3dce2a26a843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2016-12-04更新
|
5820次组卷
|
16卷引用:2016年全国普通高等学校招生统一考试理科数学(上海卷精编版)
2016年全国普通高等学校招生统一考试理科数学(上海卷精编版)(已下线)2016年全国普通高等学校招生统一考试理科数学(上海卷参考版)上海市七宝中学2018-2019学年高三上学期摸底考试数学试题沪教版(上海) 高二第二学期 新高考辅导与训练 第12章 圆锥曲线 12.6(1) 双曲线的几何性质2016-2017学年四川省广安市邻水县、岳池县、前锋区高二上学期期末联考理数试卷(已下线)2018年12月2日 【理科】人教选修2-1—每周一测(已下线)2018年12月2日 《每日一题》【文科】人教选修1-1—每周一测(已下线)2019年12月1日《每日一题》选修2-1理数-每周一测(已下线)2019年12月1日《每日一题》选修1-1文数-每周一测(已下线)专题18 解析几何综合-五年(2016-2020)高考数学(文)真题分项(已下线)专题18 解析几何综合-五年(2016-2020)高考数学(理)真题分项(已下线)专题2.4 双曲线(B卷提升篇)-2020-2021学年高二数学选择性必修第一册同步单元AB卷(新教材人教B版)河北省衡水中学2022届高三上学期五调数学试题沪教版(2020) 选修第一册 新课改一课一练 期末测试B内蒙古自治区赤峰市赤峰四中2021-2022学年高二上学期期中数学(理)试题(已下线)专题24 解析几何解答题(理科)-2
真题
7 . 已知椭圆
,过原点的两条直线
和
分别于椭圆交于
、
和
、
,设
的面积为
.
(1)设
,
,用
、
的坐标表示点
到直线
的距离,并证明
;
(2)设
,
,
,求
的值;
(3)设
与
的斜率之积为
,求
的值,使得无论
与
如何变动,面积
保持不变.
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/5a85f6d3b21c4528aedfbc3827f3b405.png?resizew=80)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/f78ea7dbcbba4a26b51c091182848444.png?resizew=12)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/f54026c7ac854d8f8b97a9c72315cb2a.png?resizew=15)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/a7a1183662914121a2398350ef6bbd9e.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/427fc516b8234aa1a71f103f50ffb7ed.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/373081abcff84c11a9fa11712516b6c8.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/6e66b72b3d48414eac84d469caed665a.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/8e7fe6a51eaf4fa4a40ad882f45938d9.png?resizew=48)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/942526447ce94afe8ea5fe8e02a70125.png?resizew=15)
(1)设
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/2726112efa664fef9973d9f92d4d86a0.png?resizew=59)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/09c3864df98c4f43b3c6a33cf44fe988.png?resizew=63)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/a7a1183662914121a2398350ef6bbd9e.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/373081abcff84c11a9fa11712516b6c8.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/373081abcff84c11a9fa11712516b6c8.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/f78ea7dbcbba4a26b51c091182848444.png?resizew=12)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0066f0f0e650bc85331c4e3db945f4b5.png)
(2)设
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/cd99cdc0720448aa8dc58aef7370624b.png?resizew=63)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/547d4364d7f44a88b548fa52a8e5dda8.png?resizew=79)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/c17027096ae84089bebace9d9d3bd591.png?resizew=40)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/4e45b0b061d248c7b56641d9c270605c.png?resizew=13)
(3)设
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/f78ea7dbcbba4a26b51c091182848444.png?resizew=12)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/f54026c7ac854d8f8b97a9c72315cb2a.png?resizew=15)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/101336ae154341f191717dda8339745b.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/101336ae154341f191717dda8339745b.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/f78ea7dbcbba4a26b51c091182848444.png?resizew=12)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/f54026c7ac854d8f8b97a9c72315cb2a.png?resizew=15)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572141761069056/1572141766746112/STEM/942526447ce94afe8ea5fe8e02a70125.png?resizew=15)
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8 . 已知椭圆
,过原点的两条直线
和
分别于椭圆交于
、
和
、
,记得到的平行四边形
的面积为
.
(1)设
,
,用
、
的坐标表示点
到直线
的距离,并证明
;
(2)设
与
的斜率之积为
,求面积
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa3620b5ca85d6c3ce9987f36d04b4ae.png)
![](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/0e2868b617c871e18c928c9a573bc8c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49de2536004d4f0819e781fffca41a2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0b669ef4514f24ee09adeff7f41238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f4a1dc86ec008a976874c72f84c45c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98387b5667c9256e791261a51b1d8f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0ccf57ab2012c2d9a7fa508efa1f800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e2868b617c871e18c928c9a573bc8c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64b45151bd4965b3e85f3449bfe64759.png)
(2)设
![](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/3389f53711264b0acba3ba6019f8b908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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2016-12-03更新
|
2836次组卷
|
8卷引用:2015年全国普通高等学校招生统一考试理科数学(上海卷)
2015年全国普通高等学校招生统一考试理科数学(上海卷)上海市延安中学2015-2016学年高二上学期期末数学试题沪教版(上海) 高二第二学期 新高考辅导与训练 第12章 圆锥曲线 12.4(2) 直线与椭圆的位置关系(已下线)课时36 椭圆-2022年高考数学一轮复习小题多维练(上海专用)上海市复兴中学2022-2023学年高二下学期期中数学试题高中数学解题兵法 第八十二讲 实施方案 层层推进(已下线)第28题 通性通法为根基,设参变换有妙招(优质好题一题多解)(已下线)专题24 解析几何解答题(理科)-1
真题
9 . 已知抛物线![](https://img.xkw.com/dksih/QBM/2011/1/11/1569961689497600/1569961694928896/STEM/d04096479f604349ab1e403b15ba3a3d.png?resizew=79)
(1)△ABC的三个顶点在抛物线F上,记△ABC的三边AB、BC、CA所在的直线的斜率分别为
,若A的坐标在原点,求
的值;
(2)请你给出一个以
为顶点、其余各顶点均为抛物线F上的动点的多边形,写出各多边形各边所在的直线斜率之间的关系式,并说明理由
![](https://img.xkw.com/dksih/QBM/2011/1/11/1569961689497600/1569961694928896/STEM/d04096479f604349ab1e403b15ba3a3d.png?resizew=79)
(1)△ABC的三个顶点在抛物线F上,记△ABC的三边AB、BC、CA所在的直线的斜率分别为
![](https://img.xkw.com/dksih/QBM/2011/1/11/1569961689497600/1569961694928896/STEM/48f00eae6133453397d99b61fe18722d.png?resizew=83)
![](https://img.xkw.com/dksih/QBM/2011/1/11/1569961689497600/1569961694928896/STEM/764b838e304e41dc8811e251224466c6.png?resizew=101)
(2)请你给出一个以
![](https://img.xkw.com/dksih/QBM/2011/1/11/1569961689497600/1569961694928896/STEM/d5deb1bbbd0e4ce0ab15f4a8beee2b95.png?resizew=44)
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