英语数学题,高手帮忙A square with sides of length 1 is divided into two congruent trapezoids and a pentagon,which have equal areas,by joining the center of the square with points on three of the sides,as shown,what is x,the length of the long
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英语数学题,高手帮忙
A square with sides of length 1 is divided into two congruent trapezoids and a pentagon,which have equal areas,by joining the center of the square with points on three of the sides,as shown,what is x,the length of the longer parallel side of each trapezoid?
翻译:边长为1的正方形被分成两个全等的梯形和一个五边形, 这两个梯形和五边形面积相等, 用四个边中的三个边上的点连接正方形的中心,如图所示,什么是x, 即各梯形的较长的平行的边的长度?
较长的平行的边的长度=5/6
原翻译:这两个梯形和五边形面积相等,
应该是:每个梯形和五边形面积都相等
即表达为:正方形被分成3个面积相等的图形,其中:有两个全等的梯形和一个五边形.
每个图形的一个顶点都在正方形的中心.
令 梯形的较长的平行的边的长度为x,
则 该梯形面积等于正方形面积的三分之一:
梯形面积=(上底+下底)*高/2=(x+1/2)*(1/2)/2=1/3
解得:x=5/6
所以梯形的较长的平行的边的长度为5/6
英语数学题,高手帮忙A square with sides of length 1 is divided into two congruent trapezoids and a pentagon,which have equal areas,by joining the center of the square with points on three of the sides,as shown,what is x,the length of the long
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