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怎样帮助学生解惑?笔者认为这是个值得探讨的问题.虽一样帮助学生解惑,收效却各有不同.据此,笔者把解惑分为三个不同的层次:低级、中级、高级.现将平日里在办公室遇见的三位老师的解惑案例呈现出来,并做些评析与大家交流探讨.案例1(学生A问甲老师的问题)如图1,正三角形ABC边长为10,A∈平面α,B和C与平面a的距离分别为4和2,且B和C在平面α的同侧,求平面ABC和平面α所成角θ的正弦值.
How to help students to confuse? I think this is a question worth exploring, although the same to help students solve problems, but different results. Accordingly, the author is divided into three different levels of confusion: low, intermediate, advanced. The case of the three teachers who met at the office on weekdays was presented and some comments were made on the exchange and discussion with them. Case 1 (Student A Question to Teacher A) As shown in Figure 1, the length of the positive triangle ABC is 10 and A ∈ Plane α, B and C are 4 and 2, respectively, from plane a, and B and C are on the same side of plane α and find the sine of the angle θ formed by plane ABC and plane α.