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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
人气:161 ℃ 时间:2019-12-12 13:35:50
解答
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弱弱的问一下直线的斜率为1或-1∴3-7m+2m²=9-m²或3-7m+2m²+9-m²=0直线Ax+By+C=0的斜率k=-A/B所以原来这直线的斜率为﹙3-7m+2m²﹚/﹙9-m²﹚﹙3-7m+2m²﹚/﹙9-m²﹚=-1就是3-7m+2m²+9-m²=0﹙3-7m+2m²﹚/﹙9-m²﹚=1就是3-7m+2m²=9-m²
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