已知椭圆C:x的平方/a的平方+y的平方/b的平方=1(a>b>0)的离心率e=√5/3,定点M(2,0)椭圆短轴端点是B1,B2,且MB1⊥MB2,过点M且斜率不为0的直线交椭圆C与A,B两点,问x轴上是否存在定点P,使PM平分∠APB?
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 01:14:29
![已知椭圆C:x的平方/a的平方+y的平方/b的平方=1(a>b>0)的离心率e=√5/3,定点M(2,0)椭圆短轴端点是B1,B2,且MB1⊥MB2,过点M且斜率不为0的直线交椭圆C与A,B两点,问x轴上是否存在定点P,使PM平分∠APB?](/uploads/image/z/9887816-56-6.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86C%3Ax%E7%9A%84%E5%B9%B3%E6%96%B9%2Fa%E7%9A%84%E5%B9%B3%E6%96%B9%2By%E7%9A%84%E5%B9%B3%E6%96%B9%2Fb%E7%9A%84%E5%B9%B3%E6%96%B9%3D1%28a%3Eb%3E0%29%E7%9A%84%E7%A6%BB%E5%BF%83%E7%8E%87e%3D%E2%88%9A5%2F3%2C%E5%AE%9A%E7%82%B9M%282%2C0%29%E6%A4%AD%E5%9C%86%E7%9F%AD%E8%BD%B4%E7%AB%AF%E7%82%B9%E6%98%AFB1%2CB2%2C%E4%B8%94MB1%E2%8A%A5MB2%2C%E8%BF%87%E7%82%B9M%E4%B8%94%E6%96%9C%E7%8E%87%E4%B8%8D%E4%B8%BA0%E7%9A%84%E7%9B%B4%E7%BA%BF%E4%BA%A4%E6%A4%AD%E5%9C%86C%E4%B8%8EA%2CB%E4%B8%A4%E7%82%B9%2C%E9%97%AEx%E8%BD%B4%E4%B8%8A%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8%E5%AE%9A%E7%82%B9P%2C%E4%BD%BFPM%E5%B9%B3%E5%88%86%E2%88%A0APB%3F)
xJAoE%3;מrefw]EPAzE(&"wIؓR<|3SM\u{U=^*ڟUz|O*KǜpN;5TΨզ ]|fgQ83
y晣ݓn;=:w4,Ͼ N7`Oy7oxy/49v5V}=U9{^ƪ=jUؿf[o.N+