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有许多同学不会给出证明,却能据题所给结论,找(举)出满足条件的例子来;有一角为22.5°的直角三角形即是满足上题条件的三角形。然而,有的同学在给出证明时,竟发现此题所述的三角形是不存在的!不信,请看下面他的证明,证明是最有说服力的:
There are many students who will not give proofs, but they can find out (extract) examples that meet the conditions according to the conclusions given by the questions. A right-angled triangle with a 22.5° angle is the triangle that satisfies the conditions of the above question. However, when some students gave proof, they found that the triangle mentioned in this question did not exist! If you don’t believe it, please look at his proof below and prove it to be the most convincing: