Fraction Word Problem: Geometric Demonstration of Dividing a Pancake
2020-11-12 06:55
This GeoGebra applet visually demonstrates the classic fraction word problem of dividing a pancake using geometric constructions and animations. Utilizing tools like circles, polygons, and translations, it intuitively shows how to divide a circular pancake into equal or specific proportional parts. By combining area calculations with fraction concepts, it helps students understand the geometric me
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将7个同样的烧饼平均分给8个人，
不但每个人分的“数量”一样多，
而且每人分的“块数”也一样多,
并且块数最少。请问该如何分？""/>
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$\dfrac{7}{8}=\dfrac{7\times(1+2+4)}{8\times7}\\
\quad=\dfrac{1}{8}+\dfrac{2}{8}+\dfrac{4}{8}\\
\quad=\dfrac{1}{8}+\dfrac{1}{4}+\dfrac{1}{2}$""/>
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1. 将四个烧饼每个都切成两等份，
2. 将另两个烧饼每个切成四等份，
3. 剩下最后一个切成八等份，
4. 每人拿大、中、小烧饼各一份。
这有多妙啊！""/>
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<command name="Sequence">
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</command>
<element type="list" label="oct">
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<element type="conicpart" label="c">
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<command name="Translate">
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<element type="conicpart" label="e">
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<command name="Translate">
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<element type="conicpart" label="g">
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</element>
<expression label="text7" exp=""分数拆分""/>
<element type="text" label="text7">
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<expression label="text8" exp=""结论提示""/>
<element type="text" label="text8">
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<expression label="text9" exp=""绘图演示""/>
<element type="text" label="text9">
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</element>
<expression label="text10" exp=""每人所得""/>
<element type="text" label="text10">
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</construction>
</geogebra>