已知直线(3-7m+2m²)x-(9-m²)y+3m²=0的倾斜角的正弦值2分之根号2,则m的值是
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![已知直线(3-7m+2m²)x-(9-m²)y+3m²=0的倾斜角的正弦值2分之根号2,则m的值是](/uploads/image/z/1990902-30-2.jpg?t=%E5%B7%B2%E7%9F%A5%E7%9B%B4%E7%BA%BF%EF%BC%883-7m%EF%BC%8B2m%26%23178%3B%EF%BC%89x-%EF%BC%889-m%26%23178%3B%EF%BC%89y%EF%BC%8B3m%26%23178%3B%3D0%E7%9A%84%E5%80%BE%E6%96%9C%E8%A7%92%E7%9A%84%E6%AD%A3%E5%BC%A6%E5%80%BC2%E5%88%86%E4%B9%8B%E6%A0%B9%E5%8F%B72%2C%E5%88%99m%E7%9A%84%E5%80%BC%E6%98%AF)
已知直线(3-7m+2m²)x-(9-m²)y+3m²=0的倾斜角的正弦值2分之根号2,则m的值是
已知直线(3-7m+2m²)x-(9-m²)y+3m²=0的倾斜角的正弦值2分之根号2,则m的值是
已知直线(3-7m+2m²)x-(9-m²)y+3m²=0的倾斜角的正弦值2分之根号2,则m的值是
斜角的正弦值2分之根号2,倾斜角α=45°,
∴tanα=1,
∴(3-7m+2m^2)/(9-m^2)=1,且m≠±3,
3-7m+2m^2=9-m^2
3m^2-7m-6=0
(3m+2)(m-3)=0
m=-2/3或m=3,
∴m=-2/3.