过两点A(m²,m-3),B(3,2m)的直线l的倾斜角为45度,求m的值
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![过两点A(m²,m-3),B(3,2m)的直线l的倾斜角为45度,求m的值](/uploads/image/z/2879199-63-9.jpg?t=%E8%BF%87%E4%B8%A4%E7%82%B9A%28m%26%23178%3B%2Cm-3%29%2CB%283%2C2m%29%E7%9A%84%E7%9B%B4%E7%BA%BFl%E7%9A%84%E5%80%BE%E6%96%9C%E8%A7%92%E4%B8%BA45%E5%BA%A6%2C%E6%B1%82m%E7%9A%84%E5%80%BC)
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过两点A(m²,m-3),B(3,2m)的直线l的倾斜角为45度,求m的值
过两点A(m²,m-3),B(3,2m)的直线l的倾斜角为45度,求m的值
过两点A(m²,m-3),B(3,2m)的直线l的倾斜角为45度,求m的值
设倾斜角为θ
tanθ=[2m-(m-3)]/(3-m²)=1
(m+3)/(3+m)(3-m)=1
1/(3-m)=1
m=2