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发展思维、培养能力的习题课,既要课前的充分预设,也要课上的因势利导。题目:判断方程x~2-(2a+2)x+2a+5=0(其中a>2)在区间(1,3)上是否有解。这是在高三第一轮复习时“函数与方程”一节遇到的一道例题。这道题从题面上看,考查的是“函数与方程”一节的内容,是典型的二次方程区间根问题,着重考查学生分析问题、解决问题的能力,能够检验学生对二次方程与二次函数之间关系的认知程度,对数形结合思想、转化思想、分类讨论思想的掌握情况。
The development of thinking, ability to develop the exercise class, it is necessary to fully pre-class preset, but also the lessons of the lesson. Subject: Determine whether or not there exists a solution to the interval (1,3) for the equation x ~ 2- (2a + 2) x + 2a + 5 = 0 (where a> 2). This is the first round of high school review “function and equation ” encountered an example. This question from the title point of view, examining the “function and equation” section, is a typical quadratic equation interval root problem, focusing on examining students’ ability to analyze and solve problems, to test the students on the second The degree of cognition of the relationship between subordinate and quadratic functions, the mastery of logarithmic conjunctive ideology, transformational thought and categorical discussing thought.