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高中代数上册P_(193)例4(以下简称例4):求sin~210°+cos~240°+sin10°cos40°的值。这道题1987年被湖南省选作高考预考题,1989年被山西省选作毕业会考题。1991年,它又换上新装,出现在全国高中数学联赛试题中,可见它是一道备受青睐、具有深刻意图的例题,探讨其教学价值,是一项很有意义的工作。本文拟从如下一些方面进行。
High school algebra on the books P_ (193) Case 4 (hereinafter referred to as Case 4): seeking sin ~ 210 ° + cos ~ 240 ° + sin10 ° cos40 ° value. This question was selected as a college entrance examination pre-test question in 1987 in Hunan Province, and was selected as a graduation examination in Shanxi Province in 1989. In 1991, it was put on a new outfit and appeared in the National High School Mathematical League Test. It is evident that it is an example that is highly favored and has profound intentions. Exploring its teaching value is a very meaningful task. This article is intended to proceed from the following aspects.