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近年来的中考命题出现了探索题.这种题分为两类,一类是探索条件,另一类是探索结论由于题目的条件或结论没有给出,需要我们去探索,所以难度较大这类题除了需要我们有较扎实的基本功以外,还要有一定的分析问题和解决问题的能力现以中考题为例,说明这类题的解法一、探索条件例1 已知数3、6,请再写出一个数,使这三个数中的一个数是另外两个数的比例中项,这个数是 (只需填一个数)分析：根据题中要求,所写的数可能是已知数3、6的比例中项,也可能不是已知数3、6的比例中项,若设这个数为x,则有x2=3×6或32=6x或62=3x,分别解之得x=±3 或x=或x=12由此可知,这是一道与众不同的条件开放型试题例2 同学们知道：只有两边和一角对应相等的两个三角形不一定全等,你如何处理和安排这三个条件,使这两个三角形全等？请你仿照方案(1),写出方案(2)、(3)、(4)解：设有两边和一角对应相等的两个三角形方案(1)：若这个角的对边恰好是这两个三角形的大边,则这两个三角形全等分析：这类题要求我们依据问题提供的题设条件,寻找多种途径解决问题我们要接受这种挑战,进入发明、创造的角色,要求我们要有较高的素质解答时,要着眼于弱化题设条件,以促使命题在一般情况下不成立,而在特殊情况下成立于是便有：
In recent years, there have been exploration problems in the examination propositions. Such questions are divided into two categories. One is the exploration of conditions and the other is the exploration conclusion. Since the conditions or conclusions of the questions are not given, we need to explore, so it is more difficult. In addition to these problems, we need to have more solid basic skills, but also have certain analytical problems and the ability to solve problems. Now take the exam questions as an example to illustrate the solution of such questions. Exploring Condition Example 1 Known Numbers 3, 6, please write a number, so that one of the three numbers is the proportion of the other two numbers. This number is (only one number is needed) Analysis: According to the requirements in the question, write The number may be a ratio of a known number 3, 6, or may not be a ratio of a known number 3, 6. If this number is x, then there are x2 = 3 x 6 or 32 = 6 x or 62 = 3x, respectively, to get the solution x = ± 3 or x = or x = 12 It can be seen that this is a unique condition Open-ended questions Example 2 Students know: Only two sides and a corner corresponding to two equal triangles Not necessarily equal, how do you deal with and arrange these three conditions to make these two triangles equal? Please follow the scheme (1) and write solutions (2), (3), and (4) to solve: There are two triangles with two sides corresponding to one corner. (1) If the opposite side of this corner is exactly The large sides of these two triangles are the same as the analysis of these two triangles. This type of question requires us to find a variety of ways to solve problems based on the questions we provide. We must accept this challenge and enter into inventions and creations. When the role requires us to have higher quality and answers, we should focus on the weakening of the title setting conditions so that the proposition is not established under normal circumstances.