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ABCE is a square, and BCDE is a parallelogram.[img]2022m10s/ct_ve01203002j_egre
ABCE is a square, and BCDE is a parallelogram.[img]2022m10s/ct_ve01203002j_egre
游客
2025-02-23
23
管理
问题
ABCE is a square, and BCDE is a parallelogram.
Quantity A: The area of square ABCE
Quantity B: The area of parallelogram BCDE
选项
A、Quantity A is greater.
B、Quantity B is greater.
C、The two quantities are equal.
D、The relationship cannot be determined from the information given.
答案
C
解析
本题可使用两种解题方法。
(1)方法一:Quantity A=AE×AB,Quantity B=ED×AB。AE=BC=ED,所以Quantity A=Quantity B。故答案为C。
(2)方法二:使用割补法。因为△ABE的面积和△CDE的面积相等,所以Quantity A=Quantity B。故答案为C。
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