焦点三角形面积面面观

为培养学生创新意识和实践能力，课堂教学应充分发挥学生主体作用，故在新课程的改革中，探究性学习已经走进课堂教学。在中学数学教学中，如果教师善于引导学生探究一些难易适中的典型问题，那么学生就能够掌握数学的思维方法，提高学生分析问题和解决问题的能力，而且对于学生当前的学习和今后的工作都是有益的。为此，文章以焦点三角形面积为例，引导学生对它的计算方法和应用作一些探究，这样做，恰与素质教育要求的“要重视知识的形成过程和发展过程，培养学生的创新意识和实践能力”的本质相吻合，同时对于高考复习也有较强的应对性。

Analysis of Focus Triangular Area

Class teaching should center on students in order to develop their innovation consciousness and practical ability.During the reform of the new courses,research learning has come into class teaching.If teachers are good at instructing students to do some typical questions of moderate difficulty,students can grasp the way of thinking and improve their ability to analyse and solve the mathematics problems.It is beneficial to students' present study and work in the future.Therefore,the paper takes focus triangular area as an example,and instructs students to do research on its counting way and application.