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为了考查同学们的探索能力,中考题和初中数学竞赛试题中悄然兴起了一类新颖的探索性试题,它们的特征是:只给出已知条件,不给出结论,而要求考生去探究、发现结论, 一、观察猜想,严格论证 例1.如图,已知AH是△ABC中BC上的高,延长AH交它的外接圆O于D,以AH为直径作圆分别交AB,AC于E,F,连接EF交AD于G。
In order to examine the exploration skills of the students, a series of novel exploratory questions were quietly raised in the examination questions and junior high school math contest questions. Their characteristics are: only given known conditions, no conclusions are given, and candidates are required to explore, Finding Conclusions First, observe and conjecture, rigorously demonstrate cases 1. As shown in the figure, AH is known to be high on BC in ABC, extend AH to intersect its circumscribed circle O to D, and circle AH to diameter to intersect AB, AC respectively At E, F, connect EF to AD to G.