二次函数是初高中数学学习的重点，对于初三学生来说，二次函数综合问题对知识储备、数学思想方法和解决问题的能力都有着很高的要求，所以它成为了困扰初三学生的“心病”。同时，教师在这部分的教学中由于不了解学生解决二次函数综合问题容易产生的具体困难及原因，教学不得其法，导致学生和老师都花费了很多精力和时间效果却没有明显的提升。 为了解决这些问题，本文首先统计分析了近8年陕西中考二次函数综合问题各个方面的特征，然后以西安市H中学初三年级两个班的学生为例调查得到了学生在解决二次函数综合问题遇到的具体困难：作图困难、分类讨论困难、知识运用困难、方法选择困难、数学运算困难、问题理解困难、数学表达困难。结合对典型学生的访谈，得到了学生解决二次函数综合问题困难的原因，再联系前面得到的二次函数综合问题的特征，在有关教学理论的指导下，本文提出了八条教学建议：①抓好基础，明确图象变换对二次函数解析式的影响；②加强图形认知，培养学生数形结合思想；③引导学生发现问题中的“不确定”，培养学生分类讨论思想；④完善认知结构，提升“组合学习”的能力；⑤精心选题，及时总结解题方法；⑥教师示范与学生练习相结合，提高数学表达能力和数学运算能力；⑦指导审题，提高数学阅读能力；⑧重视体验教学，提升学生自信心。 在实施了教学对照实验之后，后测结果表明这些教学建议能够有效提升不同层次学生解决二次函数综合问题的能力，并给学生带来了不错的课堂体验。

Quadratic function is the focus of mathematics learning in junior and senior high schools. For junior three students, the comprehensive problem of quadratic function has high requirements on knowledge reserve, mathematical thinking and problem-solving ability, so it becomes the "heart disease" that troubles junior three students. At the same time, in this part of the teaching, teachers do not understand the specific difficulties and reasons that students are prone to solve the quadratic function synthesis problem, so the teaching method cannot be adopted, resulting in a lot of energy and time spent by students and teachers without obvious improvement. In order to solve these problems, this article first statistical analysis for almost 8 years in Shaanxi test the quadratic function integrated with the characteristics of the various aspects, and then to xi 'an H middle school grade students in class two, grade, for example investigation got the students to deal with the problem of quadratic function comprehensive specific difficulties: drawing, classification discussed difficulties, knowledge, method selection difficulties, mathematics, problem understanding difficult, mathematics expression difficulties. Based on the interviews with typical students, the reasons for the difficulty in solving the quadratic function synthesis problem are obtained. Then, the characteristics of the quadratic function synthesis problem obtained above are combined. Under the guidance of relevant teaching theories, this paper puts forward eight teaching Suggestions: (1) pay special attention to the basis, clear image transformation on the quadratic function of the influence of analytic formula; (2) to strengthen the graphics cognition, training students number and shape combination thought; (3) guide students to find the "uncertainty" in the problem, cultivate the students to discuss the thought of classification; (4) improve the cognitive structure, improve the ability of "combination learning"; (5) careful selection, timely summary of problem solving methods; (6) Teachers' demonstration and students' practice combine to improve the mathematical expression ability and mathematical operation ability;(7) guide examination, improve mathematics reading ability;(8)value experience teaching, improve students' self-confidence. After the implementation of the teaching control experiment, the post-test results show that these teaching Suggestions can effectively improve the ability of students at different levels to solve the problem of quadratic function synthesis, and give students a good class experience.