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1、第2 2课时组合的应用ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航1.进一步巩固组合数公式的应用,会
2、解有限制条件的组合问题.2.会用组合及组合数公式解答分配问题,会解排列与组合的综合应用问题.ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标
3、导航知识梳理典例透析随堂演练目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航题型一题型二题型三【
4、例1】某大学音乐系从6名女生和4名男生中选出3名同学去参加“学校魅力歌手”比赛.(1)共有多少种不同的选法?(2)选出的3名同学中恰有一名男生的方法有多少种?(3)选出的3名同学中至少有一名男生的方法有多少种?(4)选出的3名同学中至多有一名男生的方法有多少种?分析:从10名大学生中选出3人,由于没有顺序,故这是一个组合问题.ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演
5、练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航题型一题型二题型三ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导
6、航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航题型一题型二题型三ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUI
7、TANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航题型一题型二题型三反思解答有限制条件的组合问题常见的方法是直接法和间接法,在用直接法求解时,注意特殊元素要优先选取,优先安排,对于复杂问题由正难则反的原则可用间接法.ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理
8、SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航题型一题型二题型三【变式训练1】某地区发生了特别重大铁路交通事故,某医院从10名医疗专家中抽调6名奔赴事故现场抢救伤员,其中这10名医疗专家中有4名是外科专家.问:(1)抽调的6名专家中恰有2名是外科专家的抽调方法有多少种?(2)至少有2名外科专家的抽调方法有多少种?(3)至多有2名外科专家的
9、抽调方法有多少种?ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航题型一题型二题型三ZHISHISHUL
10、I知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航题型一题型二题型三ZHISHISHULI知识梳理SUITANGYANLIAN
11、随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航题型一题型二题型三【例2】有5个男生和3个女生,从中选出5人担任语文、数学、英语、物理、化学学科的科代表,求分别符
12、合下列条件的选法数:(1)有女生但人数必须少于男生;(2)某女生一定担任语文科代表;(3)某男生必须包括在内,但不担任数学科代表;(4)某女生一定要担任语文科代表,某男生必须担任科代表,但不担任数学科代表.分析:从8人中选出5人担任5门不同学科的科代表,与顺序有关,可以先选出符合条件的人,再安排不同的任务,即先选后排.ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIA
13、NLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航题型一题型二题型三ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHI
14、SHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航题型一题型二题型三反思(1)解排列、组合综合问题的一般思路是“先选后排”,也就是先把符合题意的元素都选出来,再对元素或位置进行排列.(2)按事情发生的过程进行分步.(3)按元素的性质进行分类.解决时通常从三个途径考虑:以元素为主考虑,即先满足特殊元素的要求,再考虑其他元素;以位置为主考虑,即先满足特殊位置的要求,再考虑其他位置;先不考虑附加条件,计算出排列或组合数,再减去
15、不合要求的排列或组合数.ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航题型一题型二题型三【变式训练2】
16、有4张分别标有数字1,2,3,4的红色卡片和4张分别标有数字1,2,3,4的蓝色卡片,从这8张卡片中取出4张卡片排成一行.如果取出的4张卡片所标数字之和等于10,则不同的排法有多少种?解:分三类:ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例
17、透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航题型一题型二题型三易错点解题时出现“漏”“重”现象【例3】已知M,N是两个平行平面,在M内取4个点,在N内取5个点,这9个点中再无其他4点共面,则(1)这些点最多能确定几个平面?(2)分别以这些点为顶点,能作多少个三棱锥?多少个四棱锥?ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISH
18、ULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航题型一题型二题型三ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLI
19、AN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航1234561.从4名男生和3名女生中选出4人参加某个座谈会,若这4人中必须既有男生又有女生,则不同的选法共有()A.140种 B.120种C.35种D.34种ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLI
20、AN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航1234562.将甲、乙、丙、丁四名学生分到三个不同的班,每个班至少分到一名学生,且甲、乙两名学生不能分到同一个班,则不同分法的种数为()A.18B.24C.30 D.36ZHISHISHULI知识梳理SUITAN
21、GYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航1234563.身高各不相同的7名同学排成一排照相,要求正中间的同学最高,左右两边分别顺次一个比一
22、个低,这样的排法种数是()A.5 040 B.36C.18 D.20解析:最高的站在中间,从余下6人中选3人站在左侧,由低到高只有一种站法,其余3人站在右侧,也只有一种站法,答案:DZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目
23、标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航1234564.某中学要从4名男生和3名女生中选4人参加公益活动,若男生甲和女生乙不能同时参加,则不同的选派方案共有()A.25种 B.35种C.820种D.840种ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标
24、导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航1234565某书店有11种杂志,2元1本的有8种,1元1本的有3种.小张用10元钱买杂志(每种至多买1本,10元钱刚好用完),则不同买法的种数为.(用数字作答)ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航ZHISHISHULI知识梳理SUITANGYANLIAN随堂演练DIANLITOUXI典例透析目标导航目标导航知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练知识梳理典例透析随堂演练目标导航知识梳理典例透析随堂演练目标导航1234566.有6名男医生、4名女医生,从中选3名男医生、2名女医生到5个不同的地区巡回医疗,但规定男医生甲不能到地区A,则共有多少种不同的分派方案?
