很多学生在高中数学的学习中,考虑问题不够全面,很多隐含着的条件不能挖掘出来,甚至是明文给定的参数范围也不能很好的应用;在方程的转换或在换元时,没有注意到变量的定义域变化情况,造成失分,从而认为数学学科难。要解决这一问题,首先应让学生认识数学学科,了解数学学科学习特点,更重要的是注重细节,提高学生严谨的数学思维品质。先让我们了解一下,什么是思维品质?所谓思维品质是指个体思维活动特殊性的外部表现。它包括思维的严密性、思维的灵活性、思维的深刻性、思维的批判性和思维的 Many students in high school mathematics study, consider the problem is not comprehensive enough, many hidden conditions can not be excavated, and even the explicit range of parameters given are not well applied; conversion equation or in exchange for, there is no Notice the change of the domain of the variable, which leads to the loss of the score, so that the maths discipline is difficult. To solve this problem, students should first understand mathematics, mathematics learning to understand the characteristics, more importantly, attention to detail and improve students’ rigorous mathematical thinking quality. Let us first understand, what is the quality of thinking? The so-called quality of thinking refers to the individual externalities of the specific activities of thinking. It includes the rigor of thinking, the flexibility of thinking, the profoundness of thinking, the critical and thinking of thinking