学生在解题时经常犯这样或那样一些错误,究其原因,除了在数学概念、定理、公式等基本知识方面存在缺陷外,还有一个重要原因就是不健全的心理因素.下面列举导致学生解题失误的十种心理因素,并结合典型例题加以剖析,供参考.1 先入为主 许多学生习惯于利用原有认识来解决当前的问题,因此很容易把“先入为主”的偏见融入自己的思维之中,不知不觉地干扰正常的解题分析思路,从而导致解题失误。 例1 已知函数y-ig卜,l、;,’-4。+I,。-3)的值域为回,则实数,,;的取值范围() (A)。,;>4 ()0<,n<4 (O,,;<一1或,,I>4(D)0弓。;<4 剖析本题学生极容易误解为不等式;,IJ’一 Students often make such mistakes or errors in solving problems. The reason is that in addition to the flaws in basic concepts such as mathematical concepts, theorems, and formulas, there is also an important reason that is not a sound psychological factor. The following list leads students to solve problems. Ten psychological factors of mistakes, combined with typical examples for analysis, for reference.1 Preconceptions Many students are accustomed to using the original understanding to solve the current problem, so it is easy to integrate the preconceptions of “preemptive” into their own thinking. Unconsciously interfere with the normal problem-solving analysis ideas, resulting in misunderstandings. Example 1 Known functions y-ig b, l, ;,’-4. +I,. The range of -3) is back, then the range of real numbers,,; () (A). ,;> 4 () 0 <, n <4 (O,,; 4 (D) 0 bow.; <4 Analysis of this problem students are very easy to misunderstand as inequality;, IJ’ a