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实践表明,根据不同方式的发现思维的特点,采用适合学生心理特征的教学方法,进行富有感染力的创造性的教学工作,能够有效地培养发现思维能力。1 在直觉思维训练中诱导学生自我搜索教师通过自己创造性的劳动,精心创设求知情境,就能诱导学生踏上搜索真理的路线,使他们有所顿悟,有所创见。例1 给定△ABC,试问:能否在线段BC上找到一点D,使得过D点且与AB相切于B点的圆和过D点且与AC相切于C点的圆是两个等圆?并说明理由。先让学生搞点实验:在BC边上任取一点D ',按相切的要求作出⊙O_1和⊙O_2,一般情况下,当然不相等
Practice has shown that according to the characteristics of different ways of discovering thinking, teaching methods that are suitable for the students’ psychological characteristics are used to carry out creative and infectious teaching work, which can effectively cultivate the ability of discovering thinking. 1 Inducing students to self-search in intuitive thinking training Through their creative work and careful creation of knowledge situations, teachers can induce students to embark on the search for truth and make them aware and creative. Example 1 Given △ABC, ask: Can you find a point D on line segment BC, so that the circle that crosses D point and is tangent to AB at point B and the circle that passes D point and that is tangent to AC at point C are two Equal circle and explain why. First let the students do some experiments: Take a bit of D’ on the side of the BC, and make ⊙O_1 and ⊙O_2 according to the tangent requirements. Under normal circumstances, of course, they are not equal.