问题 选择题
已知i是虚数单位,(1+2i)z1=-1+3i,z2=1+(1+i)10,z1、z2在复平面上对应的点分别为A、B,O为坐标原点,则
OA
OB
=(  )
A.33B.-33C.32D.32
答案

∵(1+2i)z1=-1+3i,∴z=

-1+3i
1+2i
=
(-1+3i)(1-2i)
(1+2i)(1-2i)
=
5+5i
5
=1+i,∴
OA
=(1,1)

∵z2=1+(1+i)10=1+(2i)5=1+32i,∴

OB
=(1,32)

OA
OB
=(1,1)•(1,32)=33

故选A

材料分析题

材料一:目前,中国生产1美元国内生产总值的能源消耗是日本的11.5倍,是美国的 4倍以上。“十一五”规划提出:在未来的5年,单位GDP能耗降低20%。

材料二:漫画:

(1)上述材料和漫画反映了我国资源、环境问题的什么现状?

                                                                                                                                                               

(2)请你为我国节约资源、保护环境提几条金点子。(至少三条)

                                                                                                                                                                

                                                                                                                                                                

                                                                                                                                                                

                                                                                                                                                               

                                                                                                                                                                

(3)此外,我们青少年还能为节约资源、保护环境做些什么?

                                                                                                                                                              

                                                                                                                                                               

                                                                                                                                                               

                                                                                                                                                               

多项选择题