【摘 要】
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本文意在揭示梯形与其他常见平面图形及其面积公式之间的联系,期望对读者有所启迪. 原题如图1,在梯形ABCD中,AB∥CD,设AB=a,CD=b,高为h,面积为S,则S=1/2(a+b)h.联想之一在图
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本文意在揭示梯形与其他常见平面图形及其面积公式之间的联系,期望对读者有所启迪. 原题如图1,在梯形ABCD中,AB∥CD,设AB=a,CD=b,高为h,面积为S,则S=1/2(a+b)h.联想之一在图1中,变化CD的长度,使a=b,此时图形变为
This article is intended to reveal the connection between trapezoids and other common plane figures and their area formulas. It is expected that the reader will be enlightened. The original question is shown in Figure 1. In trapezoidal ABCD, AB∥CD, set AB=a, CD=b, High is h, area is S, then S = 1/2(a + b) h. One of the associations In Figure 1, the length of the CD is changed so that a = b, and the graph becomes
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