已知椭圆C:x^2/4+y^2=1,直线l与椭圆C相交于A,B两点,向量OA*向量OB=0(O为坐标原点),问:(1)探究:点O到直线AB的距离是否为定值,若是,求处该定值,若不是,说明理由(2)求|OA|*|OB|的最小值?
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/11 18:40:43
![已知椭圆C:x^2/4+y^2=1,直线l与椭圆C相交于A,B两点,向量OA*向量OB=0(O为坐标原点),问:(1)探究:点O到直线AB的距离是否为定值,若是,求处该定值,若不是,说明理由(2)求|OA|*|OB|的最小值?](/uploads/image/z/2574821-29-1.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86C%3Ax%5E2%2F4%2By%5E2%3D1%2C%E7%9B%B4%E7%BA%BFl%E4%B8%8E%E6%A4%AD%E5%9C%86C%E7%9B%B8%E4%BA%A4%E4%BA%8EA%2CB%E4%B8%A4%E7%82%B9%2C%E5%90%91%E9%87%8FOA%2A%E5%90%91%E9%87%8FOB%3D0%28O%E4%B8%BA%E5%9D%90%E6%A0%87%E5%8E%9F%E7%82%B9%29%2C%E9%97%AE%EF%BC%9A%281%29%E6%8E%A2%E7%A9%B6%EF%BC%9A%E7%82%B9O%E5%88%B0%E7%9B%B4%E7%BA%BFAB%E7%9A%84%E8%B7%9D%E7%A6%BB%E6%98%AF%E5%90%A6%E4%B8%BA%E5%AE%9A%E5%80%BC%2C%E8%8B%A5%E6%98%AF%2C%E6%B1%82%E5%A4%84%E8%AF%A5%E5%AE%9A%E5%80%BC%2C%E8%8B%A5%E4%B8%8D%E6%98%AF%2C%E8%AF%B4%E6%98%8E%E7%90%86%E7%94%B1%282%29%E6%B1%82%7COA%7C%2A%7COB%7C%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC%3F)
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