对于初学集合的同学来说,往往由于概念不清晰,理解不透彻,解题思路不严谨,容易犯下一些错误.下面举数例,帮同学们学习时辩析.一、对集合元素概念理解不清例1设A={y|y=x2+1,x∈R},B={y|y=x+1,x∈R},则A∩B=.错解由y=x2+1与y=x+1联立解得x=0,y=1,或yx==21.,故A∪B={(0,1),(1,2)}. For beginners, the classmates often have unclear concepts, poor understanding, and rigorous problem-solving ideas. They are prone to make mistakes. Here are a few examples to help the students understand when learning. First, understand the concept of set elements Unclear Example 1 Let A={y|y=x2+1,x∈R},B={y|y=x+1,x∈R}, then A∩B=. False solution by y=x2+ 1 and y = x +1 simultaneous solution to x = 0, y = 1, or yx = = 21., so A ∪ B = {(0, 1), (1, 2)}.