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数学中的问题的转化是一种思维方法,将一个生疏、复杂的问题转化为熟知、简单的问题来处理,每一个具体问题如何去实现这种转化过程,关键是如何寻找正确的转化的途径。例:如图,直线y=1/2x+2分别交x,y轴于点A、C、P□是该直线上在第一象限内的一点,PB⊥x轴,B为垂足,S△ABP=9。(1)求P点坐标;(2)设点R与点P在同一反比例函数的图象上,且点R在直线PB右侧。作RT⊥x轴,□T为垂足,当△BRT与△AOC相似时,求点R的坐标。
The transformation of the problem in mathematics is a way of thinking. It transforms a strange and complicated problem into a well-known and simple problem, and how to solve this problem is how to find the correct way to transform each specific problem . Example: As shown in the figure, the straight line y = 1 / 2x + 2 respectively pay x, y axis at point A, C, P □ is the point in the first quadrant of the line, PB⊥x axis, B is the foot, S △ ABP = 9. (1) Find the coordinates of point P; (2) Set point R and point P on the image with the same inverse proportion function, and point R is on the right side of line PB. For the RT ⊥ x axis, □ T for the foot, when △ BRT and △ AOC similar to find the coordinates of the point R.