| Inspiring Questions from the Sea of Examinations(题海拾贝) |
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| 引用本文： | 田枫.Inspiring Questions from the Sea of Examinations(题海拾贝)[J].中学数学教学参考,2006(22). |
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| 作者姓名： | 田枫 |
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| 作者单位： | 陕西师范大学数学与信息科学院 |
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| 摘 要： | 1 In the figure(图形),∠ABC and ∠BDAare both right angles.If v+w=35 and x+y=37,what is the value of y?译文:如图所示,已知∠ABC 和∠BDA 为直角,且 v+w=35;x+y=37.求 y 的值.Solutions:1 2.Observe that by the Pythagoreantheorem(勾股定理),v~2+w~2=x~2.Also,vw=xy,as each of these expressions is equal to twice the areaof △ABC.Hence,35~2=(v+w)~2=v~2+2vw+w~2=
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