25.To our disappointment, the trip we had been looking forward to __________ in the pouring
rain.
A.starting B.start C.to start D.started
24.As you can see, we need the equipments, ___________ are necessary to make the project move on.
A.all of which B.all of them
C.all that D.all what
23.A lot of tents, drinking water and food __________ to the homeless earthquake survivors in the
past several weeks.
A.are sent B.were sent C.have been sent D.had been sent
22.-What’s that? It smells great!
-It’s just milk tea.Would you like __________?
A.this B.one C.it D.some
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,并在答题卡上将该项涂黑。
21.-__________ Mr.White was appointed director of our department.
-Then we have two Whites now including ___________ Mr.White, the doorkeeper.
A.The; a B.A; the C.A; 不填 D.不填; a
22.(本题满分15分)
已知四点,,,。点在抛物线上
(Ⅰ) 当时,延长交抛物线于另一点,求的大小;
(Ⅱ) 当点在抛物线上运动时,
ⅰ)以为直径作圆,求该圆截直线所得的弦长;
ⅱ)过点作轴的垂线交轴于点,过点作该抛物线的切线交轴于点。问:是否总有?如果有,请给予证明;如果没有,请举出反例。
21.(本题满分15分)
已知函数,(),函数
(Ⅰ)当时,求函数的单调区间和最大、最小值;
(Ⅱ)求证:对于任意的,总存在,使得是关于的方程的解;并就的取值情况讨论这样的的个数。
20.(本题满分14分)
已知数列的前项和是,且.
(Ⅰ)求数列的通项公式;
(Ⅱ)设,求适合方程的的值。