26. ______ hungry I am, I never seem to be able to finish off this loaf of bread.
A. However B. Whenever C. Wherever D. Whatever
25. ---I’m sure Andrew will come out first in this gymnastic competition.
---I think so. He ______ for it for months.
A. is preparing B. was preparing C. had been preparing D. has been preparing
24. ----I can’t finish the paper until tomorrow, I’m afraid. ----That’s OK, there’s ______.
A. no problem B. no hurry C. no doubt D. no wonder
23. Thank you for all your hard work in the rescue after the earthquake. I don’t think we ______ it without you.
A. can survive B. could survive C. could have survived D. may have survived
22. _______ is put in the report, the new machine will work twice as fast, thus reducing costs.
A. That B. Which C. As D. What
第一节:单项填空(共20小题;每小题0.5分,满分10分)
21. In some places in the South of China, ______car has already become _____ popular means of
transportation.
A. the; a B. /; a C. a; the D. the; the
22.(本题满分15分)已知函数
,其中![]()
(1)
若
是函数
的极值点,求实数的值;
(2)
若对任意的
(为自然对数的底数)都有
成立,求实数的取值范围。
21.(本题满分15分)已知抛物线
的准线与轴交于点
,为抛物线
的焦点,过
点斜率为
的直线
与抛物线
交于
两点.
(1)若
,求
的值;
(2)是否存在这样的
,使得抛物线
上总存在点
满足
,若存在,求
的取值范围;若不存在,说明理由 。
20.(本题满分14分)正方体
,
,为棱
的中点,
(1)求证:![]()
(2)求证:
;
(3)求三棱锥
的体积.
19.(本题满分14分)等差数列
的前项和记为
。已知
。
(1)求数列
的通项
;
(2)若
,求;
(3)令
,求数列
的前项和
。
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