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  3. 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  52
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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