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解析几何是用代数方法研究几何问题,而建立坐标系是把几何问题转化为代数问题的第一步,所以合理地选择坐标系是十分重要的.平面直角坐标系是最常用的一种坐标系,在直角坐标系下,我们能够确定平面内点的位置以及建立曲线的方程,但有些问题用直角坐标系解决可能显得较为复杂.纵观多年来的各地高三调研试题,其中有不少若巧用极坐标法来解,,解题过程简洁,方法新颖,易于接受.例1已知正方形ABCD的中心在原点,四个顶点都在函数
Analytic geometry is the use of algebraic methods to study geometric problems, and the establishment of the coordinate system is the first step in the transformation of geometric problems into algebra problems, so the rational choice of the coordinate system is very important. The plane rectangular coordinate system is the most commonly used coordinate system In the Cartesian coordinate system, we can determine the position of the points in the plane and establish the equation of the curve, but some problems may be more complicated to solve with the Cartesian coordinate system. Throughout the years, many high school survey questions, many of them Solve with the polar coordinate method, the problem solving process is concise, the method is novel, and it is easy to accept. Example 1 The center of the known square ABCD is at the origin and all four vertices are in the function.