问题 选择题

已知(1-x)5=a0+a1x+a2x2+a3x3+a4x4+a5x5,则|a0|+|a1|+|a2|+|a3|+|a4|+|a5|=(  )

A.0

B.16

C.32

D.64

答案

(1-x)5展开式的通项为Tr+1=(-1)rC5rxr

∴展开式的偶次项系数为为正,奇次项系数为负

∴|a0|+|a1|+|a2|+|a3|+|a4|+|a5|=(a0+a2+a4)-(a1+a3+a5

令x=-1得25=a0+a2+a4-(a1+a3+a5

即32=a0+a2+a4-(a1+a3+a5

故选C

材料分析题

李明是某校九年级学生。暑假的一天,他和叔叔家上小学的弟弟李浩做完作业到大街上玩。在村委会大院中,他看到墙上的选民榜中有爸爸妈妈和爷爷奶奶等人的名字。在公告栏中,他看到自己的叔叔还是乡人大代表的候选人。这时,弟弟李浩缠着他问:“上面怎么没有咱俩的名字呢?” 回到家,爷爷告诉李明他要在选举日那天慎重地投出自己的一票。可是奶奶却说:“都这么大年纪了,管他谁当选呢,用不着操那份闲心。”

(1)假如你是李明,你该怎样给李浩作出解释呢?

                                                                                                                                                             

                                                                                                                                                             

                                                                                                                                                            

(2)假如你是李明,你可以用哪些知识来劝说奶奶?

                                                                                                                                                            

                                                                                                                                                             

                                                                                                                                                             

(3)假如李明的叔叔被选为乡人大代表,你觉得李明可以向叔叔说些什么?

                                                                                                                                                               

                                                                                                                                                               

单项选择题