排列、组合、二项式定理-基本原理（Permutations, combinations, binomial theorems - fundamental principles）.docVIP

排列、组合、二项式定理-基本原理（Permutations, combinations, binomial theorems - fundamental principles） Personal summary, only for communication Permutations, combinations, binomial theorems - basic principles Educational objective (1) to correctly understand the meaning of addition principle and multiplication principle Distinguish their conditions and conclusions; (2) the tree diagram can be combined to help understand the addition principle and the multiplication principle; (3) correctly distinguish addition principle and multiplication principle Which principle is related to classification Which principle is related to the step; (4) can apply addition principle and multiplication principle to solve some simple application problems Improve the ability of students to understand and use two principles; (5) learn from the principle of addition and multiplication Cultivate students good habits of careful thought and careful analysis Teaching Suggestions I. knowledge structure Ii. Analysis of key points This section focuses on the principle of addition and multiplication The difficulty is to accurately distinguish the principle of addition and multiplication The principle of addition and multiplication is easy to understand Even self-evident These two principles are the basis for learning the content of permutation It goes through the whole thing On the one hand it is the basis for the derivation of permutation number and combination number. On the other hand, its conclusions and its ideas are directly applied in the method itself The two principles answer Its all the different ways of getting a thing done The difference is: the premise of applying addition principle is There are n class solutions for doing one thing You can do this by choosing any of the methods in any of the categories That is to say The ways to accomplish this are independent of each other; The premise of using the multiplication principle is There are n steps to doing one thing Just take one method in each step