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最近看了《中小学数学》(初中版)2012年第1—2期合刊梁士亮老师的文章《老师,被学生的数学题难住之后》,受益匪浅,同时激起了我想和梁老师切磋一下的欲望.梁老师在文章中提到:“杀鸡不用牛刀”!对于一个分值可能只有3分的选择题,确实没有必要用牛刀.用“四线六点”理论来解决这个小小的选择题,十分省时省力.原题如图1,△ABC中,∠B=∠C=30°,点D是BC边上一点,以AD为直径的(?)O恰与BC边相切,(?)O交AB于E,交AC于F,过O点的直线MN分别交线段BE和
Recently read the “primary and secondary mathematics” (junior high school version) in 2012 first 1-2 Liang Liang Liang teacher’s article “teacher, after students difficult to live in mathematics”, benefited a lot, at the same time provoked I think and beam Teacher to learn about the desire of Liang teacher mentioned in the article: “for chicken without chopper ”! For a score may be only 3 points of the multiple-choice questions, there is indeed no need to use a chopper. Theory to solve this little choice, is very time-saving. The original title shown in Figure 1, △ ABC, ∠ B = ∠ C = 30 °, point D is BC edge point to AD diameter O just tangent to the edge of BC, (?) O cross AB in E, AC AC in F, over the point O of the line MN were cross-line segment BE and