数形结合的思想方法是高中数学教学中极为重要的内容,运用“数形结合”解题,要求学生能娴熟地将“图形语言”和“符号语言”做相互转换,并清晰表述自己的思维过程,同时有利于培养高中生“丰富的想象力、敏锐的观察力、严密的思考力”等数学素养.从操作层面考虑,多数情况下师生并不借助信息技术画出非常精确的图形,而只需依靠手工画的“草图”来说明问题——这也更能体现解题过程的“数学味”.但有时候因为草图过于复杂或不精确, The thought and method of combining figures is an extremely important part in high school mathematics teaching. It uses “combination of numbers and forms” to solve problems and requires students to skillfully convert between “graphic language” and “symbolic language” And express their own thinking process clearly, at the same time help to cultivate high school students “rich imagination, keen observation, close thinking ” and other mathematical literacy from the operational level, in most cases teachers and students do not use information Technology draws very precise graphics, but only relies on hand-drawn “sketches” to illustrate the problem - which also better reflects the “mathematical taste” of the problem-solving process. But sometimes sketches are too complicated or not accurate,