SAT数学题求翻译及解题过程Rectangle ABCD lies in the xy-coordinate plane so that its sides are not parallel to the axes. What is the product of the slopes of all four sides of rectangle ABCD?(A) -2 (B) -1 (C) 0 (D) 1 (E) 2
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![SAT数学题求翻译及解题过程Rectangle ABCD lies in the xy-coordinate plane so that its sides are not parallel to the axes. What is the product of the slopes of all four sides of rectangle ABCD?(A) -2 (B) -1 (C) 0 (D) 1 (E) 2](/uploads/image/z/3454145-17-5.jpg?t=SAT%E6%95%B0%E5%AD%A6%E9%A2%98%E6%B1%82%E7%BF%BB%E8%AF%91%E5%8F%8A%E8%A7%A3%E9%A2%98%E8%BF%87%E7%A8%8BRectangle+ABCD+lies+in+the+xy-coordinate+plane+so+that+its+sides+are+not+parallel+to+the+axes.+What+is+the+product+of+the+slopes+of+all+four+sides+of+rectangle+ABCD%3F%28A%29+-2+++++%28B%29+-1+++++%28C%29+0+++++%28D%29+1+++++%28E%29+2)
SAT数学题求翻译及解题过程Rectangle ABCD lies in the xy-coordinate plane so that its sides are not parallel to the axes. What is the product of the slopes of all four sides of rectangle ABCD?(A) -2 (B) -1 (C) 0 (D) 1 (E) 2
SAT数学题求翻译及解题过程
Rectangle ABCD lies in the xy-coordinate plane so that its sides are not parallel to the axes. What is the product of the slopes of all four sides of rectangle ABCD?
(A) -2 (B) -1 (C) 0 (D) 1 (E) 2
SAT数学题求翻译及解题过程Rectangle ABCD lies in the xy-coordinate plane so that its sides are not parallel to the axes. What is the product of the slopes of all four sides of rectangle ABCD?(A) -2 (B) -1 (C) 0 (D) 1 (E) 2
xy坐标系中的矩形ABCD,其边与坐标轴均不平行.四条边的斜率乘积是多少?
矩形么,四条边有以下的关系
AB⊥BC,CD⊥DA
这个表示
AB的斜率 x BC的斜率应该为 -1,CD的斜率 x DA的斜率也应该为 -1,
即 如果AB的斜率是 s,那么BC的斜率一定是 -1/s
那么两个-1相乘就是1咯,选D
let the slope of one side is k, the slopes of the other 3 sides are -1/k, k, -1/k respectively, their product is k*(-1/k)*k*(-1/k) = 1