答:
椭圆上点P(x,y)满足:
x²/a²+y²/b²=1,a>b>0
焦点F(c,0)
FP²=(x-c)²+(y-0)²
=x²-2cx+c²+b²-b²x²/a²
=(1-b²/a²)x²-2cx+b²+c²
=(c²/a²)x²-2cx+a²
开口向上,对称轴x=-(-2c)/(2c²/a²)=a²/c>a
其中-a
答:
椭圆上点P(x,y)满足:
x²/a²+y²/b²=1,a>b>0
焦点F(c,0)
FP²=(x-c)²+(y-0)²
=x²-2cx+c²+b²-b²x²/a²
=(1-b²/a²)x²-2cx+b²+c²
=(c²/a²)x²-2cx+a²
开口向上,对称轴x=-(-2c)/(2c²/a²)=a²/c>a
其中-a