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在解决实际问题时,利用因式分解的方法进行变形和转化,常可使运算简化,下面举例说明。 例1 在一条宽阔的马路上整齐排列着10个花坛。每个花坛的形状都像操场上的跑道那样两端呈半圆形,连接两个半圆的部分是直的。已知每个花坛的宽都是6m,每个花坛边缘直的部分的长分别是36m、25m、30m、28m、25m、32m、24m、24m、22m和32m,试求出这些花坛的总面积。
In solving practical problems, the use of factorization methods to transform and transform, can often simplify the calculation, the following examples. Example 1 There are 10 flower beds arranged neatly on a wide road. Each flower bed is shaped like a semicircle on both ends of the runway on the playground, and the part connecting the two semicircles is straight. It is known that the width of each flower bed is 6m, and the length of the straight part of each flowerbed is 36m, 25m, 30m, 28m, 25m, 32m, 24m, 24m, 22m and 32m. Try to find the total area of these flower beds. .