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,菱形周长为2p,两条对角线的和为m,求菱形面积.
人气:468 ℃ 时间:2020-06-06 21:11:08
解答
设菱形的两条对角线长度分别为x、y,则可知菱形面积S = (xy)/2由勾股定理可知:(x/2)^2 + (y/2)^2 = (2p/4)^2化简得:x^2 + y^2 = p^2又因为:x + y = m所以:S = (xy)/2 = (1/2)*{[(x+y)^2 - (x^2 + y^2)]/2}=(1/4)(...
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