已知三点坐标A(1,2) B(4,-1) C(-3,6) 问ABC是钝角三角形吗?如果是,
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解决时间 2021-03-24 12:22
- 提问者网友:心如荒岛囚我终老
- 2021-03-24 03:26
已知三点坐标A(1,2) B(4,-1) C(-3,6) 问ABC是钝角三角形吗?如果是,
最佳答案
- 五星知识达人网友:不如潦草
- 2021-03-24 05:06
slope of AB = m1 = (-1-2)/(4-1) = -1/3
slope of BC = m2 = (6+1)/(-3-4) = -1
slope of CA = m3 = (2-6)/(1+3) = -1
tan∠ABC = (m1-m2)/(1+m1.m2)
= ( -1/3 +1)/[1+ (-1/3)(-1)]
= (-2/3)/(4/3)
= -1/2 <0
已知三点坐标A(1,2) B(4,-1) C(-3,6) 问ABC是钝角三角形吗?
不是
slope of BC = m2 = (6+1)/(-3-4) = -1
slope of CA = m3 = (2-6)/(1+3) = -1
tan∠ABC = (m1-m2)/(1+m1.m2)
= ( -1/3 +1)/[1+ (-1/3)(-1)]
= (-2/3)/(4/3)
= -1/2 <0
已知三点坐标A(1,2) B(4,-1) C(-3,6) 问ABC是钝角三角形吗?
不是
全部回答
- 1楼网友:怀裏藏嬌
- 2021-03-24 06:37
不是,因为A,B,C均在直线y=-x+3上追答A,B,C共线,无法构成三角形
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