在高中数学学习中,学生普遍觉得解析几何问题的计算量较大。事实上,如果我们能够充分利用几何图形、韦达定理、曲线系方程,以及运用“设而不求”的策略,往往能够减少计算量。下面举例说明:一、充分利用几何图形解析几何的研究对象就是几何图形及其性质,所以在处理解析几何问题时,除了运用代数方程外,充分挖掘几何条件,并结合平面几 In high school mathematics learning, students generally find it computationally intensive to solve geometric problems. In fact, if we can take full advantage of the geometry, the Vedic theorem, the equation of the curve, and the strategy of using “instead of ”, we can often reduce the amount of computation. The following examples: First, make full use of geometric analysis of the geometric object of the study is the geometry and its nature, so in dealing with analytical geometry problems, in addition to the use of algebraic equations, the full mining of geometric conditions, combined with the plane a few