椭圆双曲线焦点

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椭圆双曲线焦点

来源：baiyundou.net 日期：2024-09-24

妙解离心率问题

01顶角为直角的焦点三角形求解离心率的取值范围问题

02焦点三角形顶角范围与离心率

03共焦点的椭圆与双曲线问题

04椭圆与双曲线的4a通径体

05椭圆与双曲线的4a直角体

06椭圆与双曲线的等腰三角形问题

07双曲线的4a底边等腰三角形

08焦点到渐近线距离为b

09焦点到渐近线垂线构造的直角三角形

10以两焦点为直径的圆与渐近线相交问题

11渐近线平行线与面积问题

12数形结合转化长度角度

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程红贵675关于椭圆和双曲线的准线的定义及性质 -
黄包严19682758558 ______ 椭圆的定义:平面内与两个定点F1、F2的距离之和等于常数(大于|F1F2|)的点的轨迹叫做椭圆.这两个定点叫做椭圆的焦点,两焦点的距离叫做焦距. 椭圆的第二定义:平面内到定点F及定直线l的距离之比等于定值e(0<1)的点的轨迹叫做椭圆.定...

程红贵6751.如何判断双曲线、椭圆的焦点在x轴还是y轴 2.双曲线与椭圆在知识点上的异同 -
黄包严19682758558 ______ 1.椭圆x^2/a^2+y^2/b^2=1,比较a^2和b^2的大小,大的那个上面对应x或y的就是长轴所在,也即焦点所在轴.双曲线x^2/a^2-y^2/b^2=1就是焦点在x轴上,反之y^2/a^2-x^2/b^2=1就是焦点在y轴上. 2.知识点看百科吧 1)椭圆(ellipise) 文字语...

程红贵675怎么确定椭圆的焦点所在轴怎么确定椭圆,双曲线,抛物线的焦点所在轴? -
黄包严19682758558 ______[答案] 椭圆:x²/a²+y²/b²=1(a,b>0)比较a、b,谁大在谁所对应的轴上; 例:x²/3 + y²/2=1在X轴上,x²/3 + y²/12=1在Y轴上双曲线:x²/a²-y²/b²=1或y²/b²-x²/a²=1,谁前面的系数是负,在谁轴上例:x²/5-y²/4=-1,化成标准式,-x²/5+y...

程红贵675高中椭圆双曲线抛物线的标准方程 -
黄包严19682758558 ______ 椭圆: 焦点在x轴上:x²/a²+y²/b²=1 焦点在y轴上:y²/a²+x²/b²=1 双曲线: 焦点在x轴上:x²/a²-y²/b²=1 焦点在x轴上:y²/a²-x²/b²=1 抛物线: 焦点在正x轴:y²=2px 焦点在负x轴:y²=-2px 焦点在正y轴:x²=2py 焦点在负y轴:x²=-2py (p>0)

程红贵675如果椭圆和双曲线上有一点和焦点垂直,如何求这一点 -
黄包严19682758558 ______[答案] 设椭圆和双曲线的焦点在x轴上,焦点(c,0) 你说的那一点应是(c,b²/a)或(c,-b²/a) 例如椭圆方程x²/a²+y²/b²=1 把x=c代入x²/a²+y²/b²=1 即c²/a²+y²/b²=1 即y²/b²=1-c²/a²=(a²-c²)/a²=b²/a² 即y²/b²=b²/a² 即y²=b^4...

程红贵675 已知双曲线的离心率为2,焦点与椭圆的焦点相同,求双曲线的方程及焦点坐标. -
黄包严19682758558 ______[答案] 已知双曲线的离心率为2,焦点与椭圆的焦点相同,求双曲线的方程及焦点坐标.焦点

程红贵675双曲线与椭圆有共同的焦点F1(0, - 5),F2(0,5),点P(3,4)是双曲线的渐近线与椭圆的一个交点,求双曲线与椭圆的方程. -
黄包严19682758558 ______[答案] 由共同的焦点F1(0,-5),F2(0,5), 可设椭圆方程为 y2 a2+ x2 a2−25=1,双曲线方程为 y2 b2− x2 25−b2=1, 点P(3,4)在椭圆上, 16 a2+ 9 a2−25=1,a2=40, 双曲线的过点P(3,4)的渐近线为y= 4 3x,分析有 b2 25−b2= 16 9,计算可得b2=16 所以椭...

程红贵675谁能教下我椭圆和双曲线? -
黄包严19682758558 ______ 定义一:平面内与两定点F、F'的距离的和等于常数2a的动点P的轨迹叫做椭圆.其中两定点F、F'叫做椭圆的焦点,两焦点的距离│FF'│叫做椭圆的焦距.定义二:平面上到定点F距离与到定直线间距离之比为常数的点的集合(定点F不在定直...

程红贵675与双曲线共焦点的椭圆有什么巧的设法吗?我只知道与椭圆共焦点的双曲线设法:若椭圆为x^2/a^2+y^2/b^2=1,则双曲线设为…x^2/(a^2 - m)+y^2/(b^2 - m)=1带... -
黄包严19682758558 ______[答案] 若椭圆方程为x^2/a^2+y^2/b^2=1,则与它共焦点的双曲线方程可设为:x^2/(a^2-m)+y^2/(b^2-m)=1;若双曲线方程为x^2/a^2-y^2/b^2=1,则与它共焦点的椭圆方程可设为:x^2/(a^2-m)-y^2/(b^2-m)=1道理很简单呀,就是理解椭...

程红贵675以椭圆2x2+y2=1的顶点为焦点,以椭圆的焦点为顶点的双曲线方程为 - _ - . -
黄包严19682758558 ______[答案] ∵椭圆2x2+y2=1的焦点在y轴上,a=1,b= 2 2,c= 2 2 顶点为(0,1),(0,-1),( 2 2,0),(- 2 2,0) ∴焦点为(0,± 2 2) ∴由已知可得所求的双曲线的顶点(0,± 2 2),焦点为(0,1),(0,-1) 即a= 2 2,c=1,b= 2 2 故所求的双曲线的方程为:y2-x2=1 故答案为y2-...

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