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列方程解应用题在初一代数教学中既是重点,又是难点。其所以是重点,是由于学习它,可以初步解决现实生活中的一些实际问题;可以为今后学习物理、化学等其它学科服务;同时,有利于发展学生的逻辑思维能力,为初二学习平面几何作准备。由于列二、三元一次方程组及列一元二次方程无非也是找等量关系,解题的基本方法是一样的,因此初一代数中的一元一次方程应用题也是整个初中代数列方程解应用题的重点。其所以是难点,这是由于列方程不象解方程那样有法可循,应用题中所涉及到的某些问题,学生是不熟悉的,很难在错综复杂的数量关系中寻找出已知与未知之间的内在联系。对于这部分内容的教学,必须围绕核心,抓住关键,启发思路。
Column equation solution problem in the first generation of teaching is not only the focus, but also difficult. The reason why it is the key point is that learning from it can initially solve some practical problems in real life, and can serve for other subjects such as physics and chemistry in the future. At the same time, it is conducive to developing students' logical thinking ability and learning plane geometry for the first two years Prepare. Because column two, ternary one-dimensional equations and column one quadratic equation are nothing but looking for the same amount of relations, the basic method of solving problems is the same, so the first-generation algebra in the application of a dollar equation is also the entire junior high school algebra equations solution The focus of the question. It is difficult, because the column equations do not follow the equations as law-abiding, some of the problems involved in the application of the problem, the students are not familiar with, it is difficult to find the number of known and complex relationship The inner link between the unknown. For this part of the content of teaching, we must focus on the core, seize the key to inspire ideas.