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晚清学者王国维先生在?人间词话?中谈及,古往今来之成大事业者,必经过三种境界.“昨夜西风凋碧树,独上高楼,望尽天涯路”乃第一境.“衣带渐宽终不悔,为伊消得人憔悴”此第二境也.“众里寻他千百度,蓦然回首,那人却在灯火阑珊处”为第三境界.今之通俗版本为,看山是山,看山不仅是山,看山还是山.现以求过圆外一点圆的切点弦所在直线方程为例,浅谈数学解题的三重境界.1.例题呈现
The scholar of the late Qing Dynasty, Wang Guowei, talked about the words in the human world, and from ancient times to modern times, it has to pass through three realms. “West wind withered the trees last night, alone high-rise buildings, hope to make ends meet” is the first .”The belt is gradually wide and does not regret it, for the Iraqi people to get rid of “ this second situation also.” The public search for him thousands of Baidu, when I look back, that person is in the lights dizzy " for the third realm. Today’s popular version is to see the mountain is a mountain, see the mountain is not only a mountain, see the mountain or the mountain. Now for the linear equation where the round point of the round point outside the circle is located as an example, to discuss the triple realm of mathematical problem solving. Sample presentation