8. He ______ his paper to see if there are any obvious mistakes.
A. looked into B. looked up C. looked around D. looked through
7. --- Are you still thinking about yesterday’s game?
--- Oh, that’s _____ .
A. how I feel about it B. whatever I feel excited
C. what makes me feel excited D. when I feel excited
6. --- It’s reported that more than 200,000 people lost their lives in Haiti Earthquake.
--- Yes, ______ news came as ______ shock to us.
A. the , a B. the, the C. a, a D. a, the
5. suggestion A. traditional B. emotion C. exhibition D. question
第二节 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,选出可以入空白处的最佳选项,并在答题卡上将该项涂黑。
例:It is generally considered unwise to give a child he or she wants.
A. however B. whatever C. whichever D. whenever 答案是B。
4. hear A. heart B. search C. nearly D. bear
3. club A. pollution B. struggle C. useful D. bury
2. mankind A. machine B. bank C. rank D. language
第一节 语音知识(共5小题;每小题1分,满分5分)
从A、B、C、D四个选项中,找出其划线部分与所给单词的划线部分读音相同的选项,并在答题卡上将该项涂黑。
例:have A. gave B. save C. hat D. made 答案是C
1. aloud A. camera B. cinema C. carriage D. many
23.[解] (1)因为直三棱柱ABC-A1B1C1中,
BB1⊥面ABC,∠ABC=.
以B点为原点,BA、BC、BB1分别为x、y、z轴建立如图所示空间直角坐标系.
因为AC=2,∠ABC=90º,所以AB=BC=,
从而B(0,0,0),A,C,B1(0,0,3),A1,C1,D,E.
所以,
设AF=x,则F(,0,x),
.
,所以
要使CF⊥平面B1DF,只需CF⊥B1F.
由=2+x(x-3)=0,得x=1或x=2,
故当AF=1或2时,CF⊥平面B1DF.……………… 5分
(2)由(1)知平面ABC的法向量为n1=(0,0,1).
设平面B1CF的法向量为,则由得
令z=1得,
所以平面B1CF与平面ABC所成的锐二面角的余弦值
22.[解](1)设P(x,y),根据题意,得+3-y=4,化简,得y=x2(y≤3).
…………………4分
(2)设过Q的直线方程为y=kx-1,代入抛物线方程,整理得x2-4kx+4=0.
由△=16k2-16=0.解得k=±1.
于是所求切线方程为y=±x-1(亦可用导数求得切线方程).
切点的坐标为(2,1),(-2,1).
由对称性知所求的区域的面积为S= ………………… 10分
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