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    ●Women should not rush to drink alcohol to lose weight.

●For women with weight problems, alcoholic drinks are probably not the 80   of extra calories.

SECTION B

Directions: Read the following passage. Answer the questions according to the information given in the passage and the required words limit. Write your answers on your answer sheet.

The unsteady housing market is showing a rare sign of strength: waiting home sales were up significantly in February, a report released Monday said, suggesting that Americans took advantage of a tax credit for home buyers.

Sales rose 8.2 percent in February, the National Association of Realtors(房地产经纪人) said. Analysts had expected sales to stay flat.

Economists said Monday’s data suggested buyers were re-entering the market as the April 30 deadline approached for a government tax credit of up to $8,000. The tax credit drove up sales rapidly in the fall, when it was originally set to end, but it has been slow to push the market this spring.

Lawrence Yun, chief economist for the association, said Monday’s report “may signal the early stages of a second wave of home sales.”

A separate report on Monday showed the service division in the United States was improving, driven in part by gains in employment.

The Institute for Supply Management’s non-manufacturing barometer(晴雨表) rose to 55.4 in March, up from 53 in February, going beyond expectations. Much of the energy came from a rush in new orders and business activity.

It was the highest reading(测量或调查的读数) for the survey since May 2006. While employment rose, it was short of the break-even point, signaling the service division was still losing jobs. Exports also rose significantly.

“This is a very encouraging report, which indicates acceleration in demand growth from both domestic and foreign customers,” Barclays Capital researchers wrote in a note on Monday.

The jump in waiting home sales was a rare bit of good news for the housing market, which remains in a deep rut(车辙). Home prices have shown little change.

Analysts expect the housing market to gradually improve as unemployment becomes less and the broader recovery gains steam. But so far, relief has been slow to come.

Monday’s report showed sales rose even in areas hit hard by poor weather in February. Sales climbed 9 percent in the Northeast and South, which were blanketed by snow in February.

The Realtors association bases its data on signed contracts, which usually take one or two months to translate into final sales.

81. What is the effect of the government tax credit? (No more than 5 words)

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    Mild drinking may   79   to better heart health, but it also increases breast cancer risk.

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    ● 41 percent becoming overweight or fat;

●nondrinkers gaining more weight over time, 9 pounds on average;

  75   gaining about three pounds on average;

●compared with nondrinkers, women who consumed one or two alcohol drinks a day almost 30 percent   76   to become fat;

●women being   77   men in metabolism

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    ●about 60 percent-light or regular drinkers;

●about 40 percent-  74 

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    Stop drinking alcohol to avoid the extra calories.

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21.(本小题满分13分) 己知

  (Ⅰ)若,函数在其定义域内是增函数,求的取值范围;

  (Ⅱ)当时,证明函数只有一个零点;

  (Ⅲ)若的图象与轴交于两点,中点为,求证:

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20.(本小题满分13分) 已知中心在原点,焦点在轴上的椭圆的离心率为,且经过点,过点的直线与椭圆相交于不同的两点.

(Ⅰ)求椭圆的方程;

(Ⅱ)是否存在直线,满足?若存在,求出直线的方程;若不存在,请说明理由.

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19.(本小题满分13分)  某商店投入38万元经销某种纪念品,经销期60天,为了获得更多的利润,商店将每天获得的利润投入到次日的经营中,市场调研表明,该商店在经销这一产品期间第天的利润(单位:万元,),记第天的利润率,例如

  (Ⅰ)求的值;

  (Ⅱ)求第天的利润率

  (Ⅲ)该商店在经销此纪品期间,哪一天的利润率最大?并求该天的利润率。

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18.(本小题满分12分)  如图,在四棱锥P-ABCD中,PA⊥平面ABCD,底面ABCD为直角梯形,∠ABC=∠BAD=90°,AD>BC,E,F分别为棱AB,PC的中点.

  (I)求证:PE⊥BC;

    (II)求证:EF//平面PAD.

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17.(本小题满分12分)  某中学举办安全法规知识竞赛,从参赛的高一、高二学生中各抽出人的成绩作为样本.对高一年级的名学生的成绩进行统计,并按分组,得到成绩分布的频率分布直方图(如图).

(Ⅰ)若规定60分以上(包括60分)为合格,计算高一年级这次知识竞赛的合格率;

(Ⅱ)统计方法中,同一组数据常用该组区间的中点值作为代表,据此,估计高一年级这次知识竞赛的学生的平均成绩;

(Ⅲ)若高二年级这次知识竞赛的合格率为60%,由以上统计数据填写下面列联表,并问是否有99%的把握认为“这次知识竞赛的成绩与年级有关系”。

 
高一
高二
合计
合格人数
 
 
 
不合格人数
 
 
 
合计
 
 
 

参考数据与公式:

由列联表中数据计算的公式


0.10
0.05
0.010

2.706
3.841
6.635

临界值表

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