已知双曲线X²/2-Y²/2=1的准线经过椭圆X²/4+Y²/b²=1(b>0)的焦点,则b=()?
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![已知双曲线X²/2-Y²/2=1的准线经过椭圆X²/4+Y²/b²=1(b>0)的焦点,则b=()?](/uploads/image/z/2586900-12-0.jpg?t=%E5%B7%B2%E7%9F%A5%E5%8F%8C%E6%9B%B2%E7%BA%BFX%26%23178%3B%2F2-Y%26%23178%3B%2F2%3D1%E7%9A%84%E5%87%86%E7%BA%BF%E7%BB%8F%E8%BF%87%E6%A4%AD%E5%9C%86X%26%23178%3B%2F4%2BY%26%23178%3B%2Fb%26%23178%3B%3D1%EF%BC%88b%3E0%EF%BC%89%E7%9A%84%E7%84%A6%E7%82%B9%2C%E5%88%99b%3D%EF%BC%88%EF%BC%89%3F)
已知双曲线X²/2-Y²/2=1的准线经过椭圆X²/4+Y²/b²=1(b>0)的焦点,则b=()?
已知双曲线X²/2-Y²/2=1的准线经过椭圆X²/4+Y²/b²=1(b>0)的焦点,则b=()?
已知双曲线X²/2-Y²/2=1的准线经过椭圆X²/4+Y²/b²=1(b>0)的焦点,则b=()?
双曲线的准线为x=±a²=±1,又因为椭圆焦点为(±√4 -b²,0)所以有√4 -b²=1,即b²=3,故b=√3
双曲线X²/2-Y²/2=1的准线方程x=1
所以椭圆c=1
又4-b^2=1
b^2=3
b=√3