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解三角形问题中最值(取值范围)是高考及竞赛重点知识点之一,它不仅与解三角形自身的常见的基础知识密切相关,而且与代数及一些几何中的有关性质密切联系.这类问题综合性较强,解法灵活,对能力要求较高.本文结合全国各省市历年高考和竞赛试卷中涉及解三角形问题中的面积、角、角的三角函数值、边长、周长的最值(取值范围)的求解策略进行归纳,以提高同学们的思维能力和解题能力.例1在△ABC中,内角A、B、C所对的边
The solution to the triangle problem (value range) is one of the key points in college entrance exams and competitions. It is not only closely related to the common basic knowledge of solving triangles, but also to algebra and some related properties in geometry. The problem is comprehensive, the solution is flexible, and the ability is more demanding.This paper combines the triangle function value, the side length and the circumference value of the area, angle and angle involved in the college entrance examination and competition papers in the provinces and cities in the calendar year (Value range) solution strategy to summarize, in order to improve the students’ thinking ability and problem solving ability Example 1 △ ABC, the angle of the A, B, C opposite side