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P and q are the points(02,1) and (1,4) respectively.the point A moves in such a way that 三角APQ has a constant area. sketch its locus.

最佳解答:

Let A' be the projection of A on the line passes through PQ and the area of ΔAPQ = (PQ)(AA')/2 in order to keep the area unchanged, AA' should be a constant, thus the locus of A are two line that parallel to PQ here are the solution: 圖片參考：http://imgcld.yimg.com/8/n/HA00108663/o/701206300004513873411940.jpg

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