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在教学中,学生对解析几何的学习效果并不是很理想,甚至很多学生感到惧怕,因此,教师要帮助学生探索解析几何的解题规律,理解并掌握用代数解决几何问题的方法,从而学会找出解决问题的关键和突破口。本文以题为例来谈谈如何在教学中培养学生的解题思维,从而用有效的方法研究解析几何的问题。1提出问题题目:已知抛物线C:y~2=4x,以M(1,2)为直角顶点作该抛物线的内接直角三角形MAB。求证:(1)直线AB过定点;(2)过点M作AB的垂线交AB于点N,求点N的轨迹方程。
In teaching, students are not very good at analytic geometry learning effect, and even many students are afraid. Therefore, teachers should help students explore the law of solving geometric problems, understand and master the methods of using algebra to solve geometric problems and learn to find The key to solve the problem and a breakthrough. In this paper, the title as an example to talk about how to cultivate students’ problem-solving thinking in teaching so as to study the problem of analytic geometry in an effective way. 1 raised the subject of the problem: known parabola C: y ~ 2 = 4x, with M (1,2) as the vertex of the parabola for the right-angled triangle MAB. Verify: (1) A straight line AB over a fixed point; (2) A point M over AB for the AB to point AB, find the point N’s trajectory equation.