已知椭圆C:x^2/a^2+y^2/b^2=1(a>b>0)与直线l:x+(根号3)y-根号3=0交于A,B两点,AB=2,且角AOB=90度,(1)求椭圆C的方程:(2)若M,N是椭圆C上的两点,且满足OM垂直于ON,求MN的最小值.
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/30 13:49:21
![已知椭圆C:x^2/a^2+y^2/b^2=1(a>b>0)与直线l:x+(根号3)y-根号3=0交于A,B两点,AB=2,且角AOB=90度,(1)求椭圆C的方程:(2)若M,N是椭圆C上的两点,且满足OM垂直于ON,求MN的最小值.](/uploads/image/z/3664425-57-5.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86C%3Ax%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%EF%BC%88a%3Eb%3E0%29%E4%B8%8E%E7%9B%B4%E7%BA%BFl%3Ax%2B%EF%BC%88%E6%A0%B9%E5%8F%B73%EF%BC%89y-%E6%A0%B9%E5%8F%B73%3D0%E4%BA%A4%E4%BA%8EA%2CB%E4%B8%A4%E7%82%B9%2CAB%3D2%2C%E4%B8%94%E8%A7%92AOB%3D90%E5%BA%A6%2C%EF%BC%881%EF%BC%89%E6%B1%82%E6%A4%AD%E5%9C%86C%E7%9A%84%E6%96%B9%E7%A8%8B%EF%BC%9A%EF%BC%882%EF%BC%89%E8%8B%A5M%2CN%E6%98%AF%E6%A4%AD%E5%9C%86C%E4%B8%8A%E7%9A%84%E4%B8%A4%E7%82%B9%2C%E4%B8%94%E6%BB%A1%E8%B6%B3OM%E5%9E%82%E7%9B%B4%E4%BA%8EON%2C%E6%B1%82MN%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC.)
xRNAcb-;;,%A
.
ֵFDTbC*@i-m5 .OB/Ik23sΝsfy
~j3S k <;M`U6ǎUϽ$dVjAdtVӭ;ݝ(7u/*7?FgU̍X8%K؈qq=qMx5B@ȿ88e?J,2o7ț!N/Ώe闯sǬe]OS