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在听课中,发现多数学生对型如“a/b>( )/( )>a/c”的题目解答很困难,一些中上生,一见到此类题,也一时茫然。如:判断“小于4/5而大于2/5的分数只有一个3/5”的正误时,生判它正确;写出“比2/3小而又比1/3大的一个分数或5/7>( )/( )>4/6”的答案是不存在;……诸如此类,说明了学生不能灵活运用学过的知识,没有掌握此类题目的解题方法。 其实,这类题目的答案很多,解法也很多,下面介绍几种这类题的解法。 一、数轴法:就是将各分数用数轴上的点表示出来,再根据“数轴上的点表示的数”来选取答案。 例:5/6>( )/( )>2/3
During the lectures, most students found it very difficult to answer the questions of the type such as “a / b> () / ()> a / c”. Some middle and high school students also lost their minds when they saw such questions. Such as: to determine “less than 4/5 and more than 2/5 of the score is only one 3/5” of the error, sentenced it correctly; write “less than 2/3 and 1/3 larger than a score or 5 / 7> () / ()> 4/6 ”does not exist; ... and so on, stating that students can not flex their knowledge and do not have a way to solve the problem. In fact, there are many answers to such questions and there are many solutions. Here are some solutions to these problems. First, the number of axis method: that is, the points on the axis with the points that out, then according to “the number of points on the axis of the axis” to select the answer. Example: 5/6> () / ()> 2/3