前不久,在我校高三第一轮数学复习的课堂上,出现了这样一道试题:已知θ∈(0,π),sinθ+cosθ=(3~(1/2)-1)/2,则tanθ=____。笔者认为这应该是一道很普通的试题,所以课前并没引起足够的重视,但是在课堂上发生的一切让笔者始料未及。使笔者由衷地感慨:“这样的课堂真精彩!”下面是课堂实录,让我们再次回味教学过程。教师:谁来谈谈自己的解法? Not long ago, the first round of high school mathematics review class in my class, there has been such a test: Known θ∈ (0, π), sin θ + cos θ = (3 ~ (1/2) -1) / 2, Tan θ = ____. I think this should be a very common question, so did not pay enough attention before the class, but everything happened in the classroom let the author unexpected. So that I sincerely with emotion: “This class is really wonderful! ” Here is the class record, let us recapture the teaching process again. Teacher: Who will talk about his solution?