数学是一扇要用智慧开启的门,重要的在于不断探索,从中找出规律和方法,下面就是运用割补法解面积问题的几个例子.一、如图1,四边形ABCD中,∠BAD=∠BCD=90°,AB=AD,若四边形ABCD的面积为24cm2则AC长为多少?解把△ADC绕点A顺时针旋转90°,得△ABC′,如图2所示:∵AB=AD,∴△ADC≌△ABC′.∵∠ABC′+∠ABC=∠ADC+ Mathematics is a door to open with wisdom, the important thing is to continue to explore, find out the laws and methods, the following is the use of cut law to solve the area of ​​a few examples of problems.One, as shown in Figure 1, quadrilateral ABCD, ∠BAD = ∠ BCD = 90 °, AB = AD, if the area of ​​the quadrilateral ABCD is 24cm2 then how much AC? Solution △ ADC around point A clockwise 90 °, △ ABC ’, as shown in Figure 2: ∵AB = AD, ∴ △ ADC ≌ △ ABC’.∵∠ABC ’+ ∠ABC = ∠ADC +