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。