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拿到一个集合,我们首先要关注代表元素,否则就会失之毫厘,谬以千里,下面我们就看几个例题:例题1:用列举法表示集合:M={6/a+1∈N/a∈N}=____。错解:∵6/a+2∈N,∴a+2=1,2,3,6,又a∈N,∴a=0,1,4,∴M={0,1,4}。这里我们同学为什么会犯错呢?就是没有关注代表元素到底是谁。思维定式导致学生总认为代表元素就是一个字母,没有想到代表元素还可以是一个式子。
Get a collection, we must first pay attention to the representative elements, otherwise it will lose the least bit, absurdly miles, we will look at a few examples below: Example 1: The enumeration method said set: M = {6 / a + 1∈N / a∈N} = ____. The wrong solution: ∵ 6 / a + 2 ∈ N, ∴ a + 2 = 1,2,3,6, again a∈N, ∴a = 0,1,4, ∴M = {0,1,4}. Why do our students make mistakes here? Is not concerned about who is the representative element in the end. Thinking style leads students always think that the representative element is a letter, did not think the representative element can also be a formula.