4. The increasing number of cars on the road _______ traffic. This was the reason why we couldn’t get here on time.
A. choked back B. choked down
C. choked out D. choked up with
3. (2012·威海高二检测)—How did the interview go?
—Quite well. Not so smoothly as I expected, _______.
A. instead B. either
C. though D. as well
2. No one can understand _______ a decision until it is too late to do so.
A. him to postpone to make
B. him to postpone making
C. his postponing to make
D. his postponing making
Ⅰ.单项填空
1. (2012·武汉高二检测) As a teacher rich in experience, he knows how to _______ his ideas to these new students in a limited period of time.
A. convey B. educate
C. conclude D. convince
22.(本小题满分14分)
设数列的前项和为,,且.
(Ⅰ)求数列的通项公式;
(Ⅱ)等差数列的各项均为正数,其前项和为,且又
成等比数列,求;
(III)求数列的前项和.
20.(本小题满分12分)
已知公差大于零的等差数列,前项和为.且满足.
(Ⅱ)若求的最大值.
21.(本小题满分12分)
某水库堤坝因年久失修,发生了渗水现象,当发现时已有m2的坝面渗水.经测算知渗水现象正在以每天m2的速度扩散.当地政府积极组织工人进行抢修.已知每个工人平均每天可抢修渗水面积m2,每人每天所消耗的维修材料费元,劳务费元,给每人发放元的服装补贴,每渗水m2的损失为元.现在共派去名工人,抢修完成共用天.
(Ⅰ)写出关于的函数关系式;
(Ⅱ)要使总损失最小,应派去多少名工人去抢修(总损失=渗水损失+政府支出).
19.(本小题满分12分)
在公差为的等差数列中, 为其前项和,对于任意的,都有,若,求的取值范围.
18.(本小题满分12分)
在中,已知求.
三、解答题:本大题共6小题,共74分.解答应写出文字说明、证明过程或演算步骤.
17.(本小题满分12分)
解关于的不等式:.
16. 在下列函数中: ① ;②;③;
④;⑤其中且;⑥.其中最小值为2的函数是 (填入序号).