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从2007年高考起强调了考查三角形的重要性,之所以重点考查解三角形,是因为三角形能够将三角函数的诱导公式、和(差)角公式顺用与逆用、内角和定理、二倍角公式、正(余)弦定理及有关的面积应用、三角函数的有关知识、实际应用(如测算距离、高度航海等等)整合联系.这类试题体现出基本“能力立意”考查化归思想(边与角化归与整合),函数思想,分析应用,数形结合等等,使得这类试题有较好的灵敏区分度,体现“简约而不简单”.
Since the college entrance examination in 2007 stressed the importance of examining the triangle, the reason why the key to test the triangle, because the trigonometric trigonometric function can be induced formula, and (difference) formula with the use and reverse, interior angle and theorem, double angle formula , Positive (residual) string theorem and the application of the area, the relevant knowledge of trigonometric functions, practical applications (such as distance measurement, a high degree of navigation, etc.) integration of these types of questions reflect the basic (Edge and keratosis attributed to the integration), the function of thinking, analysis and application, the combination of numbers and so on, so that such questions have a better sensitivity to distinguish between, reflecting “simple but not simple ”.