数形结合是解决数学问题的一个非常重要的思想方法.我国著名数学家华罗庚说过:“数缺形时少直观,形缺数时难入微”.在解决某些数学问题时,往往有计算复杂或讨论“不周到”的现象,特别是在遇到求解某些方程的解的个数时,甚至会感到“无从下手”.但如果我们运用数形结合思想来解决此类题目,就会收到事半功倍的效果.所以在教学中,特别是在解析几何的教学中,必须渗透这一思想方法.笔者试举几例,以飨读者. Number combination is a very important way to solve mathematical problems.China’s famous mathematician Hua Luogeng said: When solving some mathematical problems, often Complicated or discussed “not thoughtful ” phenomenon, especially in the face of the number of solutions to some equations, you may even feel “nothing to start. ” However, if we use the number of combination of ideas to solve Such topics, you will receive a multiplier effect.Therefore, in teaching, especially in the teaching of analytic geometry, we must infiltrate this way of thinking.I author try a few examples to readers.