与函数有关的临界点问题是初三复习中比较综合的代数题型,也是各地中考中的重要考点.此类题目主要是利用图形的运动变化来找到满足条件的临界状况,再由临界点这一条件求出临界状况时的参数值,最后由临界状况时的参数值确定满足已知条件的参数的取值范围.题目所涉及的知识点多,知识面广,对学生思维的要求比较高,题目综合性很强,特别是 The critical point associated with the function is the more comprehensive algebraic question type in the third grade review, which is also an important test center in the middle school entrance examinations. Such topics mainly use the movement of the graph to find the critical condition that satisfies the condition, The condition value of a critical condition is obtained, and finally the parameter value of the critical condition is used to determine the value range of the parameter that satisfies the known condition.The topic involves a large number of knowledge points and a wide range of knowledge, and has a relatively high requirement on students’ thinking , The topic is very comprehensive, especially