letters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carryingout innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected nd reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordination, and dvocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\
?x?y?4?19.已知点P(x,y)的坐标满足条件?y?x，点O为坐标原点，那么|PO|的最小值等于
?x?1?_______,最大值等于____________.
20.2002年在北京召开的国际数学家大会，会标是我国以古代数学家赵爽的弦图为基础设计的．弦图是由四个全等直角三角形与一个小正方形拼成的一个大正方形（如图）．如果小正方形的面积为1，大正方形的面积为25，直角三角形中较小的锐角为?，那么cos2?的值等于
21.如图放置的边长为1的正方形PABC沿x轴滚动。
设顶点P（x，y）的轨迹方程是y?f(x)，则f(x)的最小正周期为 ；y?f(x)在其两个相邻零点间的图像与x轴所围区域的面积为 。
三、解答题
22.已知函数f(x)?2sin(π?x)cosx。 （Ⅰ）求f(x)的最小正周期； （Ⅱ）求f(x)在区间[?
．
ππ,]上的最大值和最小值。 62ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgatd by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carrying out innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected and reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordinaton, and advocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\
23.如图1，在Rt△ABC中，∠C=90°，D，E分别为AC，AB的中点，点F为线段CD上的一点，将△ADE沿DE折起到△A1DE的位置，使A1F⊥CD，如图2。
（Ⅰ）求证：DE∥平面A1CB； （Ⅱ）求证：A1F⊥BE；
（Ⅲ）线段A1B上是否存在点Q，使A1C⊥平面DEQ？说明理由。
24.以下茎叶图记录了甲、乙两组各四名同学的植树棵数。乙组记录中有一个数据模糊，无法确认，在图中经X表示。
ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgated by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carryingout innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected nd reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordination, and dvocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\
（Ⅰ）如果X=8，求乙组同学植树棵数的平均数和方差；
（Ⅱ）如果X=9，分别从甲、乙两组中随机选取一名同学，求这两名同学的植树总棵数为19的概率。 （注：方差s?
25.近年来，某市为促进生活垃圾的分类处理，将生活垃圾分为厨余垃圾、可回收物和其他垃圾三类，并分别设置了相应的垃圾箱，为调查居民生活垃圾分类投放情况，先随机抽取了该市三类垃圾箱总计1000吨生活垃圾，数据统计如下（单位：吨）；
ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgatd by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work of21?xn的平均数） [(x1?x)2?(x2?x)2???(xn?x)2],其中x为x1，x2，
nletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carrying out innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected and reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordinaton, and advocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\ 厨余垃圾 可回收物 其他垃圾 “厨余垃圾”箱 400 30 20 “可回收物”箱 100 240 20 “其他垃圾”箱 100 30 60 （Ⅰ）试估计厨余垃圾投放正确的概率； （Ⅱ）试估计生活垃圾投放错误的概率；
（Ⅲ）假设厨余垃圾在“厨余垃圾”箱、“可回收物”箱、“其他垃圾”箱的投放量分别为a，b，c，其中a﹥0，a+b+c=600.当数据a，b，c的方差s最大时，写出a，b，c的值（结论不要求证明），并求此时s的值。
2
21[(x1?x)2?(x2?x)2?...?(xn?x)2]，其中x为数据x1,x2,...,xn的平均数） n12222（求：s?[(x1?x)?(x2?x)?...?(xn?x)]，其中x为数据x1,x2,...,xn的平均数）
n（求：s?2
26. 已知函数f(x)?(x?k)e。 （Ⅰ）求f(x)的单调区间；
（Ⅱ）求f(x)在区间[0,1]上的最小值。
x6x2y227. 已知椭圆G:2?2?1(a?b?0)的离心率为，右焦点为(22,0)。斜率为1的
3ab直线l与椭圆G交于A,B两点，以AB为底边作等腰三角形，顶点为P(?3,2)。 （Ⅰ）求椭圆G的方程； （Ⅱ）求?PAB的面积。 28．（本小题共13分）
给定数列a1，a2，后n?i项ai?1，ai?2，
，an。对i?1,2,3,,n?1，该数列前i项的最大值记为Ai，
，an的最小值记为Bi，di?Ai?Bi。
ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgated by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work ofletters and calls, and do practical things for the masses combine good, effective through reaching people at the service of the \hird, foster the development of new energy, new General Secretary XI Jinping stressed development of innovation forest restructuring, revitalization of the old industrial bases in Northeast China is the State's major strategy, Central has issued comprehensive opinions of revitalizing Northeast China and other old industrial bases, the CPC Central Committee on revitalization in Northeast China were ... Vigorous determination does not waver, the work does not slacken off. Be firm with in the development has more to do with hard, and not muddle along, passive inaction. To rely on their own efforts, can't wait, can't wait, stand still. This not only provides new opportunities for development in our region, and gave us new requirements. We must seize the opportunity, full use of national policy, has to be more complicated, to start and target, give full play to theinitiative of leading cadres at all levels, active, active, focusing on building new momentum for development, accelerating transformation of forest development. To implement the new development philosophy. Philosophy is the action guide, new ideas and new developments. Carryingout innovation, coordination and development of green, open, shared ideas, must be measurable, direct action with new development concepts, training cadres. In a new development concept as a yardstick. Established in line with the new concept of evaluation system and evaluation criterion, embodies the new development policy, organization, mandate implementation, always measured by the new development philosophy, continuous correction of forest transition course. In a new development concept for the path command. As part of the implementation of the new development philosophy followed and action guidelines, firmly adjusted, corrected nd reject unsuitable, inappropriate and even againstthe new development ideas, behaviors and practices, more pragmatic approach based on a broad vision, and creatively carry out ecological construction, industrial development, improving people's livelihood, such as the work to ensure that new development ideas take root in forest areas. In a new development concept for weapon training cadre. Education leaders \he new, nothing\es, enhancing vitality and power. Combined development \nd implementation \engineering\nd create \nvironment\hening on new development, and new economy concept of learning, and grasp and using, real put thought and action unified to new development concept up, at with new development concept armed himself, and guide practice, effective do advocate innovation, and focused on coordination, and dvocate green, and thick plant open, and advance shared. Second, we must rely on Science and technology affects. Tchnical innovation is the promotion of economic transformation and upgrading, quality and efficiency \er\（1）设数列?an?为3，4，7，1，写出d1，d2，d3的值。 （2）设a1，a2，
，an（n?4）是公比大于1的等比数列，且a1?0，证明d1，d2，
，dn?1是等比数列。 （3）设d1，d2，
，dn?1是公差大于0的等差数列，且d1?0，证明a1，a2，
，
an?1是等差数列。
ivelihood, is related to people's well-being and social harmony and stability. We need to protect and improve the livelihood of the people as the starting point and ending point of transition and improve forest people's feeling and happiness. To promote poverty relief and development work. Implementing poverty alleviation crucial project is a major strategic decision made by the CPC Central Committee, is also determined by the provincial \nking and action to the requirements of the Central, provincial, resolutely win the poverty battle. The previous phase I to 18 stations, Tahe, Pine Ridge research, visited many of the poor, go, the heavier, more pressure. For poverty relief and development work, we must pay attention to it, always in mind, grasping hands, should not be blindly optimistic, there can be no slack. Poverty alleviation and development lies in precise, accurate. Present, in order to find out the real base of poor people as soon as possible, come up with feasible poverty standards, state card, built on the basis of document management. To firmly establish the \poverty reduction\he intensity of resource integration, and related funding, with limited funds wisely. By using a combination of employment, entrepreneurship for poverty eradication poverty eradication, education, poverty alleviation, medical aid of poverty means, due to effects of policies, those policies, ensure the completion of mission objectives for poverty eradication for the year. To actively promote the construction of new towns. In February this year, promulgatd by the State Council on further promoting urbanization construction of new opinions, proposed to adhere to the people-centered, four modernizations synchronization, optimization, ecology civilization and cultural heritage of new urbanization path with Chinese characteristics. According to district-wide construction of civilized city and the beautiful countryside, further strengthening of urban transport, water supply and drainage and sewage, waste disposal ground, underground, such as infrastructure construction, strive to create a safer and more livable environment. To actively seize the full stop and opportunities for poverty alleviation and development, further efforts to increase forest villages merge, population to the County (district) Council sites and centres concentrated in villages and towns. Combined development of urban construction and tourism industries, careful planning and construction of a number of suitable for residential and farm tour towns and villages, forming one village one product, a feature pattern. Closer to the masses. Since last year, our in-depth implementation of the leading cadres of grassroots masses at work, solve the problems of a large number of people, get the masses give wholehearted support to and praise, this work will carry on, absolutely cannot or movement. Grassroots masses and cadres in combination with poverty reduction, combined with the steady work of