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最近笔者阅读了《用导数方法解题的一个常见错误》这篇文章,深有感触.无独有偶,在笔者所在学校的高三理科的第二次模拟考试中,也有类似的这样一道解答题.很多同学(甚至不少教辅资料亦或一些教师)都给出了下面的解答过程.由这个过程推理出的结果是正确的,但过程不严谨.如果不加以及时纠正,将不利于同学们知识体系的建立、方法的完善、逻辑思维能力的培养,将会给我们今后的解题带来后患.
Recently, I read the article “Derivative problem solving a common mistake,” this article, deep feeling. Coincidentally, in the author’s school junior high school science second simulation exam, there is a similar answer to this question. Many students (Even a lot of supplementary materials or some teachers) give the following solution process. The reasoning result from this process is correct, but the process is not rigorous. If not corrected in time, it will not be conducive to students’ knowledge system The establishment of methods, the improvement of methods and the cultivation of logical thinking ability will bring troubles to our future problems.