25. ________ theme of the Shanghai Expo is “Better city, better life”. It will send _____ message to people around the world to care about the places where they live.
A. /…a B. the…a C. a…the D. /…the
24. Toyota Motor President Akio Toyoda on Monday apologized to Chinese consumers , who ________ the world's biggest auto market , over the company's massive global recall.
A. make up B. bring up C. put down D. set down
23. A salty diet may increase the risk of stomach cancer ________ 10 percent, South Korean researchers found in a study of more than 2 million people.
A. at B. to C. by D. for
22. Some people are worrying about the possibility ________ cellphones could be responsible for a range of illnesses, from rashes to brain tumors.
A. that B. why C. how D. whether
第一节:语法和词汇知识(共15小题;每小题1分,满分15分)
从A、B、C、D四个选项中,选出可以填入空白处的最佳选项。
21. - Would you mind my coming over and having a look at your new garden? My little son’s curious about those roses you grow.
-________. You are welcome.
A. Yes, I do B. Never mind C. Yes, please D. Not at all
22.已知数列满足
(1) 求数列的通项;
(2) 设,证明:对任意,且,都有
21.如图,设抛物线的准线与轴交于,焦点为.以,为焦点,离心率的椭圆与抛物线在轴上方的交点为,延长交抛物线于点,是抛物线上一动点,且在与之间运动.
(1)当时,求椭圆的方程;
(2)当的边长恰好是三个
连续的自然数时,求面积的最大值.
20.已知函数.
(1)若函数在定义域内单调递增,求的取值范围;
(2)若,且关于的方程在上恰有两个不相等的实数根,求实数的取值范围;