问答题{{I}}Directions: Read the following text carefully and then translate the underlined segments into Chinese. Write your pieces of Chinese version in the proper space on your Answer Sheet Ⅱ.{{/I}} As we enter the 21st century, the gap between the world's rich and poor is widening, both with in and among countries. 1. {{U}}The vast majority of the world's population is receiving an ever-decreasing share of its collective wealth, while the share claimed by a few rich nations and individuals is steadily growing.{{/U}} In 2001 Forbes magazine counted 538 billionaires with a total net worth of 1.7 trillion dollars, while the United Nations identified 2.8 billion people surviving on less than two dollars a day. Overall, the richest 20 percent of the world's people control 86 percent of global income, while the poorest 20 percent control barely one percent. The impacts of this widening rich-poor gap are varied and worrisome. 2. {{U}}They include environmental destruction—richer nations and individuals can afford to over-consume resources, poorer nations and individuals are forced to over-exploit the environment just to survive.{{/U}} They include migration—people are forced to, move in search of adequate resources. And they include conflict—wealthier nations and individuals fight to keep what they have, while those suffering a lack of resources fight to obtain them. 3. {{U}}Because poorer groups typically lack the assets and technology to conduct large-scale conventional war to obtain their goals, they often resort to low-intensity conflict and terrorism.{{/U}} The causes of this global disparity are diverse and complex, but include colonial era trading patterns that favor industrialized nations; the globalization of economies and economic structures, in which poor nations struggle to compete; a growing "digital divide" characterized by lack of access to information technology; inadequate governance and protection of law; and lack of access to education, healthcare, and social safety nets, especially for women and girls. 4. {{U}}Individuals and nations need not remain in poverty indefinitely, however.{{/U}} With an awareness of the interdependence of our modern world and a concerted political will, it is possible to reverse this trend that threatens to divide the world against itself. And reversing this trend would have powerful and positive impacts on our future. 5. {{U}}Bringing the nearly 5 billion people of the less industrialized world into a sustainable economy through "pro-poor" policies would provide a tremendous boost to the world economy, as well as to those people.{{/U}} With increased economic opportunities come improved access to nutrition, education, and health care. With those come higher income, greater autonomy—especially for women—and the opportunity to pursue environmentally sound technologies and products.

问答题求。

问答题计算．

问答题求极限

问答题讨论函数的连续性．

问答题设f(x)在闭区间[a，b]上连续，开区间(a，b)内可导，。证明：在区间(a，b)内至少存在两点ξ1，ξ2，使f'(ξ2)tan。

问答题试求y"=x的经过点M(0，1)且在此点与直线相切的积分曲线。

问答题设(f，g)=1，证明 (f,f+g)=(g,f+g)=(fg,f+g)=1.

问答题设函数f(x)，g(x)满足f"(x)=g(x)，g"(x)=2ex-f(x)，且f(0)=0，g(0)=2，求

问答题某公司有50套公寓要出租，当月租金定为2000元时，公寓会全部租出去，当月租金每增加100元时，就会多出一套公寓租不出去，而租出去的公寓每月需花费200元的维修赞，试问租金定为多少可获得最大月收入?最大月收入是多少?

问答题已知，其中ai≠aj,i,j=1，2，…，s．试讨论矩阵ATA的正定性．

问答题由抛物线y=x2及y=4x2绕y轴旋转一周构成一旋转抛物面的容器(剖面如图所示)，高为H．现于其中盛水，水高问要将水全部抽出，外力需做多少功?

问答题求不定积分。

问答题将f(x)=cos 2 x展开x的幂级数．