13.He ________ comb his hair at the table, even though he knows I don’t like it.
A.shall B.may C.will D.can
12.Dear me! Just _________ at the time! I _________ no idea it was so late.
A.look, have B.looking, had
C.look, had D.looking, have
11. Some of the exercises appear to be ________ ones that you have done, but after taking ________ second look, you will find that they are different.
A.不填; the B.the; the C.the; a D.the; 不填
第二节 情景对话(共5小题,每小题1分,满分5分)
根据对话情景的内容,从对话后所给的选项中选出能够填入每一空白处的最佳选项,并在答题卡上将该选项涂黑。该选项中有两个为多余选项。
M: How are your new neighbors, Nancy?
W: They seem nice enough, but they have a son who’s driving me crazy.
M: ___6___
W: He comes home every night around 10 with his car window rolled down and radio turned up really loud.___7___ But by then Brian and Lisa are wide awake.
M: Oh, no.
W: Oh, yes.Sometimes it takes us until midnight just to get them to settle down again.
M: ___8___
W: We haven’t even really met them yet except to say a quick hello.
M: You are not going to like them when you do meet them, I dare say.
W: I know, but I feel stupid complaining.___9___ I’m just not getting enough sleep and neither are the children.
M: ___10___
W: Yeah.
M: Then you could mention that the hardest thing at present is getting your children to sleep at night.
A.Have you tried talking to them?
B.What do you mean?
C.Actually, they didn’t say anything.
D.Maybe you could ask about their son and they’ll be sure to ask about yours.
E.Well, you know how early I have to get up to be here at the office.
F.Don’t get your hopes too high!
G.It stops as soon as he turns the car off.
第三节 语法和词汇知识(共15小题,每小题1分,满分15分)
从每小题的A、B、C、D四个选项中,选出可以填入空白处的最佳选项,并在答题卡上将该选项涂黑。
第一节 语音知识(共5小题,每小题1分,满分5分)
从每小题的A、B、C、D四个选项中,找出所给单词的正确读音,并在答题卡上将该选项涂黑。
20.(本小题满分13分)
已知数列满足:,
(I)求得值;
(II)设求证:数列是等比数列,并求出其通项公式;
(III)对任意的,在数列中是否存在连续的项构成等差数列?若存在,写出这项,并证明这项构成等差数列;若不存在,说明理由.
19.(本小题满分13分)
已知椭圆C的对称中心为原点O,焦点在轴上,离心率为,且点在该椭圆上.
(I)求椭圆C的方程;
(II)过椭圆C的左焦点的直线与椭圆C相交于A,B两点,若的面积为,求圆心在原点O且与直线l相切的圆的方程.
18.(本小题满分14分)
已知函数与函数.
(I)若,的图像在点处有公共的切线,求实数的值;
(II)设,求函数的值.
17.(本小题满分14分)
如图:在四棱锥中,底面ABCD是菱形,,平面ABCD,点M,N分别为BC,PA的中点,且
(I)证明:平面AMN;
(II)求三棱锥N的体积;
(III)在线段PD上是否存在一点E,使得平面ACE;若存在,求出PE的长,若不存在,说明理由。
16.(本小题满分13分)
某商场为吸引顾客消费推出一项优惠活动.活动规则如下:消费每满100元可以转动如图所示的圆盘一次,其中O为圆心,且标有20元、10元、0元的三部分区域面积相等,假定指针停在任一位置都是等可能的.当指针停在某区域时,返相应金额的优惠券。(例如:某顾客消费了218元,第一次转动获得了20元,第二次获得了10元,则其共获得了30元优惠券。)顾客甲和乙都到商场进行了消费,并按照规则参与了活动.
(I)若顾客甲消费了128元,求他获得优惠券面额大于0元的概率?
(II)若顾客乙消费了280元,求他总共获得优惠券金额不低于20元的概率?
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