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因势利导,于是我提出了“孙猴子分菜园子”问题,引起了学生极大的兴趣。问题是这样的:话说唐僧师徒四人西天取经途中路过一个小村庄,村子里有两兄弟,他们合耕一块平行四边形状的土地(如图1),在该地P点有一口水井,前不久他们的父亲去世了,兄弟俩想要平分这块土地,并且都能方便地用井水浇地。(如图1)唐僧师徒四人耳闻目睹了兄弟俩分地的过程。弟弟说:“我知道平行四边形的一条对角线把这个平行四边形分成两个形状相同的三角形,其面积必定相等,因此,只要沿着任意一条对角线AC
Make the best use of the situation, so I put forward the ”Monkey Division sub-garden“ issue, aroused great interest students. The problem is this: saying Tang monks mentoring four people on the way through a small village, the village has two brothers, they work together a parallelogram-shaped land (Figure 1), at the point P has a well, before Soon after their father died, the brothers wanted to split the plot and use it well. (Figure 1) Tang monk mentor four people heard and saw the process of dividing the two brothers. My brother said: ”I know a parallelogram of a diagonal of the parallelogram is divided into two triangles of the same shape, its area must be equal, so long as along any diagonal AC