24. The national congressman wearing traditional clothes, in _______ hotel-room I just interviewed him, comes from a remote mountain village in West China.
A. whom B. his C. whose D. which
23. The ordinary girl sat silently at the corner, but when the prince came over to invite her to dance, her face immediately _________.
A. cheered up B. lit up C. turned up D. made up
22. - Are your parents satisfied with your performance at home?
- ______ but not exactly. They want me to do more housework.
A. Kind of B. On the contrary C. On average D. By all means
第一节:单项填空(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. We were sad to hear the news that _______ eight Chinese peacekeeping policemen were killed in ______ Haiti earthquake.
A. the; / B. /; the C. the; a D. an; the
22.(本小题满分12分)
已知圆M:(x-m)2+(y-n)2=γ2及定点N(1,0),点P是圆M上的动点,点Q在NP上,点G在MP上,且满足=2
,
·
=0.
(Ⅰ)若m=-1,n=0,r=4,求点G的轨迹C的方程;
(Ⅱ)若动圆M和(Ⅰ)中所求轨迹C相交于不同两点A、B,是否存在一组正实数m,n,r使得直线MN垂直平分线段AB,若存在,求出这组正实数;若不存在,说明理由.
21.(本小题满分12分)
已知函数f(x)=ax3-bx2+(2-b)x+1(x>0)在x=x1和x=x2处取得极值,
且0<x1<1<x2<2.
(Ⅰ)若a,b均为正整数,求函数f(x)的单调增区间;
(Ⅱ)若z=a-12b,求z的取值范围.
20.(本小题满分12分)
在如图所示的多面体中,已知正方形ABCD和直角梯形ACEF所在平面互相垂直,
(1)求证:平面BEF平面DEF;
(2)求二面角A-BF-E的大小。
19.(本小题满分12分)
某中学举办“上海世博会”知识宣传活动,现场的“抽卡有奖游戏”特别引人注目,游戏规则是:盒子中装有8张形状大小相同的精美卡片,卡片上分别印有“世博会吉祥物海宝”或“世博会会徽”,要求两人一组参加游戏,参加游戏的两人从盒子中轮流抽取卡片,一次抽1张,抽取后不放回,直到两人中的一人抽到 “世博会会徽”卡得奖才终止游戏.
(Ⅰ)游戏开始之前,一位高中生问:“盒子中有几张‘世博会会徽’卡?”主持人说:“若从盒中任抽2张卡片不都是‘世博会会徽’卡的概率为”请你回答有几张“世博会会徽”卡呢?
(Ⅱ)在(Ⅰ)的条件下,甲、乙两人参加游戏,双方约定甲先抽取乙后抽取,求甲获奖的概率.
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