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一、问题的提出数学思想是高考中重点考查的内容.在高考的考试说明中关于数学思想是这样阐述的:“对数学思想方法的考查是对数学知识在更高层次上的抽象和概括的考查,考查数学思想时必须要与数学知识相结合,通过数学知识的考查,反映考生对数学思想方法的掌握程度.”在解三角形的问题中,往往将三角函数、平面向量、函数的性质、不等式性质等知识有机地结合在一起,试题的设计体现了各种数学思想和数学方法.下面结合一个例题来探讨数学思想是如何在解三角形中加以体现的.例题在△ABC中,已知角A,B,C所对的边分别为a,b,
First, the problem raised Mathematical thinking is the focus of examination in the college entrance examination in the examination of the college entrance examination on the idea of mathematics is elaborated: “Mathematical thinking is a higher level of knowledge of mathematical abstraction and generalization The test of mathematical thinking must be combined with mathematical knowledge through the test of mathematical knowledge to reflect the candidates grasp of mathematical thinking and methods. ”In solving the problem of triangles, often trigonometric functions, planar vectors, functions Nature, the nature of inequality and other knowledge organically together, the design of the test reflects a variety of mathematical ideas and mathematical methods.Considering an example to explore how mathematical ideas are reflected in the solution of the triangle.Example in △ ABC, has been Knowing angles A, B, and C are a, b,