在高中数学领域中，平面解析几何一直都是教学和评测的重点和难点内容，也是培养学生提升直观想象素养的重要载体。如何在教学中使用有效的教学策略突破难点并培养学生的数学素养一直都是教学实践中的热点问题。随着信息技术与数学课程教学融合地不断推进，GeoGebra作为信息技术软件之一，其独特的代数区与几何区可以使得解析几何的教学更加直观，同时对培养学生的学习兴趣、数形结合思想和直观想象素养具有辅助推动作用。因此本文选定了高中解析几何学习内容中，从属于直线与圆的方程知识板块的直线与圆的位置关系，以教学设计作为实践研究载体，对职前教师开发的案例和专家型教师开发的案例进行比较研究，深入探讨GeoGebra助力培养高中生直观想象素养的教学实践，得到关于GeoGebra培养高中生直观想象素养的教学策略与建议。

本研究基于数学教学设计原理开发研究框架，采用比较研究法和案例分析法相结合的研究方法，先对教学任务、教学目标进行整体比较研究分析,再对教学方案进行微观比较研究分析,其中教学方案的比较研究以新授课的复习回顾、问题提出、问题解决、总结应用四个具体的教学环节展开。

基于比较研究分析，本文提出六点借助GeoGebra培养高中生的直观想象素养的教学策略与建议：

(1)精准定位融入GeoGebra的教学重难点，有效提高课堂效率；

(2)落实使用GeoGebra的教学环节实践性，加强整体融合性；

(3)充分利用GeoGebra的教学优势，提升学生的直观想象素养；

(4)注重学生画图能力的提升，促进从直观到抽象的学习；

(5)直观性与灵活性并重，提高学生解决问题的能力；

(6)提升学生操作GeoGebra的主体性，提升学生操作信息技术的能力。

In the field of high school mathematics, plane analytic geometry has always been the key and difficult content of teaching and evaluation, and it is also an important carrier to cultivate students' intuitive imagination literacy. How to use effective teaching strategies to break through the difficulties and cultivate students' mathematical literacy has always been a hot issue in the area of teaching practice. With the continuous progress of the integration of information technology and mathematics teaching, as one of the information technology software, geogebra's unique algebraic and geometric areas can make the teaching of analytic geometry more intuitive.At the same time, it can help to cultivate students' interest in learning, the idea of combining number with shape and the cultivation of intuitive image. Therefore, this paper selects the course of positional relationship between line and circle, which belongs to the equation knowledge plate of line and circle in the learning content of analytic geometry in senior high school. Taking instructional design as the carrier of practical research, this paper makes a comparative study of two cases developed by pre service teachers and expert teachers, and deeply discusses the teaching practice of geogebra in the course of positional relationship between line and circle. To find how to cultivate high school students' intuitive imagination literacy,to find the teaching strategies and suggestions how geogebra to train high school students' intuitive imagination literacy.

Based on the principle of mathematics instructional design, this paper develops a research framework, and adopts the research methods of comparative research and case analysis. Firstly, the teaching tasks and teaching objectives are compared and analyzed in a whole angle, and then the teaching plans are compared and analyzed in a micro way. The comparative research of teaching plans is based on the review and review of new teaching, problem-solving, problem-solving summary and application of four specific teaching links.

Based on the comparative research and analysis, this paper puts forward six teaching strategies and suggestions to cultivate high school students' intuitive imagination literacy with the help of geogebra：

(1) Accurate positioning is integrated into the key and difficult points of the teaching of analytic geometry with help fo geogebra, so that classroom efficiency can be effectively improved;

(2) Implement the practicality of using geogebra in teaching, and strengthen the integration of the whole;

(3) Make full use of geogebra's teaching advantages to improve students' intuitive imagination literacy;

(4) Pay attention to the improvement of students' drawing ability, promote the learning from intuitive to abstract;

(5) Both intuition and flexibility should be emphasized to improve students' ability to solve problems;

(6) To improve the students' subjectivity in operating geogebra and their ability in operating information technology.