(3-7m+2m²)x-(9-m²)y+3m²=0,倾斜角的正弦值2分之根号2,求m

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(3-7m+2m²)x-(9-m²)y+3m²=0,倾斜角的正弦值2分之根号2,求m

设倾斜角为α
sinα=√2/2
∴α=45°或α=135°
直线的斜率为1或-1
∴3-7m+2m²=9-m²或3-7m+2m²+9-m²=0
解得m=3或m=4或m=-2/3

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