福建省福州市2013届高三上学期期末质检数学文试题

福建省福州市2013届高三上学期期末质检数学文试题 福建省福州市2013届高三上学期期末质量检查 数学(文)试题 参考公式: n xynxy, ,ii,1i 用最小二乘法求线性回归方程系数公式 ,baybx,,,n22xnx,,i,1i 第?卷(选择题共50分) 一、选择题(本大题共10小题，每小题5分，共50分(在每小题所给的四个 答案 八年级地理上册填图题岩土工程勘察试题省略号的作用及举例应急救援安全知识车间5s试题及答案 中有且只有一个答 案是正确的(把正确选项涂在答题卡的相应位置上() 2,ii1(是虚数单位，复数在复平面上的对应点所在 1，i A(第一象限 B(第二象限 C(第三象限 D(第三象限 (如图设全集U为整数集，集合则下图中阴影部分 表 关于同志近三年现实表现材料材料类招标技术评分表图表与交易pdf视力表打印pdf用图表说话 pdf 示的集合2AxNxB,,,,,{|18},{0,1,2} 的真子集的个数为 A(3 B(4 C(7 D(8 ,,,x3(设命题p:函数的最小正周期为，命题q:函数的图象关于直线对yx,cos2yx,sin22 称，则下列判断正确的是 ，qpq,pq, A(p为真 B(为真 C(为真 D(为真 4(对具有线性相关关系的变量x，y，测得一组数据如下表: x 2 4 5 6 8 y 20 40 60 70 80 ,, yxa,，10.5 根据上表，利用最小二乘法得它们的回归直线方程为，据此模型来预测当x= 20时， y的估计值为 A( 210 B(210(5 C(211(5 D(212(5 ,,,, ,,abab5(“?”是“存在唯一实数，使得=”的 Wang Department responsible for the pro-democracy movement the Han Chang Yan Tomb. He used to work, wide exposure to four rural peasants, to publicize Japanese thought, and to establish the perimeter of the party organization "Jiangnan anti-Japanese guerrilla people salvation." East water village Shen Yingjie, also participated in the Organization and served as team leader. August Zhu Xi Nan Xun Kang Wang, also has made a night attack bridge Japanese defenders, and the Eastern attack zhenze traitors was the puppet command, enemy steamer and seized a large quantity of firearms, ammunition, supplies and file photos of victory. That same month, Zhu Wang achieved in deqing, Wu Kang border forces also recovered "three mountains" (Hui shan, Shan, dry mountain) victory. In September, the second guerrilla Brigade of the Communist Party Member Wen Yongzhi as captain of Wuxing County about 150 guns, to shake off the annexation of the Wuxing County Government, and he demanded, Zhejiang Province, Lin Jie Xu knows delegate to the West to lead. Decided to Jie Xu with the reputation of the identity of the Chinese Communist Party, Xu Jin talks with Zhu Xi, Zhu Bucheng Brigade of temperature programmed. Zhu Xi, agreed. Thus, cleaning party members into the Zhu Xi forces, such as Xu, Xu by superiors and sent to party members after all. In October, party group, Xu cleaning team leader, directly under the leadership of CPC Zhejiang Provincial Committee. Party groups actively working, restored Han chang and others from the party. Help Zhu Xi established the Department and strengthen youth service corps, the establishment of women's team, run training courses in rotation drawn the officers and men of the Regiment, group. Strengthening the political and ideological education of officers and men, advocacy and national salvation movement aim to inspire soldiers A(充分而不必要条件 B(必要而不充分条件 C(充要条件 D(既不充分也不必要条件 6(函数的大致图象是 yogx,,1(1)5 7(?ABC中，若sinB既是sinA，sinC的等差中项，又是sinA，sinC的等比中项，则?B的大小是 ,,,, A( B( C( D( 30456090 68(在区间[0，]上随机取一个数x，则事件“”发生的概率为 ,sincosxx，,2 1112 A( B( C( D( 4323 9(若运行如右图所示的程序，则输出S的值是 20122011 A( B( 20112012 20122013 D( C(20132012 ,fxMxM()sin()(0,0,||,，,,,10(已知函数 ,,,,2 半个周期内的图象如图所示，则函数的解析式为 fx() ,fxx()2sin(),， A( 6 ,fxx()2sin(2),, B( 6 ,fxx()2sin(),, C( 6 ,fxx()2sin(2),， D( 6 23，11(若点A(m、n)在第一象限，且在直线上，则的最小值为 235xy，,mn 2426 A( B( C(4 D(5 552212(能够把圆O:x +y= 16的周长和面积同时分为相等的两部分的函数称为圆O的“和谐函数”，下 列函数不是圆O的“和谐函数”的是 x3fx()tan, A( B( fxx(),2 xx,fxnxx()1[(4)(4)],,， C(fxee(),， D( Wang Department responsible for the pro-democracy movement the Han Chang Yan Tomb. He used to work, wide exposure to four rural peasants, to publicize Japanese thought, and to establish the perimeter of the party organization "Jiangnan anti-Japanese guerrilla people salvation." East water village Shen Yingjie, also participated in the Organization and served as team leader. August Zhu Xi Nan Xun Kang Wang, also has made a night attack bridge Japanese defenders, and the Eastern attack zhenze traitors was the puppet command, enemy steamer and seized a large quantity of firearms, ammunition, supplies and file photos of victory. That same month, Zhu Wang achieved in deqing, Wu Kang border forces also recovered "three mountains" (Hui shan, Shan, dry mountain) victory. In September, the second guerrilla Brigade of the Communist Party Member Wen Yongzhi as captain of Wuxing County about 150 guns, to shake off the annexation of the Wuxing County Government, and he demanded, Zhejiang Province, Lin Jie Xu knows delegate to the West to lead. Decided to Jie Xu with the reputation of the identity of the Chinese Communist Party, Xu Jin talks with Zhu Xi, Zhu Bucheng Brigade of temperature programmed. Zhu Xi, agreed. Thus, cleaning party members into the Zhu Xi forces, such as Xu, Xu by superiors and sent to party members after all. In October, party group, Xu cleaning team leader, directly under the leadership of CPC Zhejiang Provincial Committee. Party groups actively working, restored Han chang and others from the party. Help Zhu Xi established the Department and strengthen youth service corps, the establishment of women's team, run training courses in rotation drawn the officers and men of the Regiment, group. Strengthening the political and ideological education of officers and men, advocacy and national salvation movement aim to inspire soldiers 第?卷(非选择题共100分) 二、填空题(本大题共5小题，每小题4分，共20分，把答案填在答题卡的相应位置上。) 2x213(以椭圆的右焦点为焦点，且顶点在原点的抛物线标准议程为 。 ，,y13 1,0ogxx,,214(若函数 ，则函数的零点为 。 fx(),fx(),x,，,21,0x, xy，,2, ,1,15(已知O是坐标原点，点M的坐标为(2，1)，若点N(x，y)为平面区域上的一个动x,,2, yx,,, ,,,,,,,,, 点，则?的最大值是 。 OMON xx22x16(已知点是函数的图象上任意不同两点，依据图象可知，线段AB总是AxaBxa(,)(,)y,212 xx，xx1212aa，2位于A、B两点之间函数图象的上方，因此有结论成立(运用类比思想方法可,a2 知，若点A(x，sinx)、B(x，sinx)是函数y=sinx(z?(0，))的图象上的不同两点，则,1l22 类似地有____成立( 三、解答题(本大题共6小题，共80分，解答应写出文字说明、证明过程或演算过程) 17((本小题满分12分) * 已知数列 {}1,(,)32().aaaayxnN中点在函数的图象上,,，,nnn，11 (I)证明:数列{1}a， 是等比数列; n {}a (?)求数列的前n项和( n 18(本小题满分12分) 2cos23cos3,,xx，, 已知函数?(其中,>o)，且函数的最小正周期fxx()2sin,,fx() ,为 , (I)求的值; ,1 (?)将函数y= f(x)的图象向右平移单位长度，再将所得图象各点的横坐标缩小为原来的26 倍(纵坐标不变)得到函数y=g(x)的图象(求函数g(x)的单调区间( Wang Department responsible for the pro-democracy movement the Han Chang Yan Tomb. He used to work, wide exposure to four rural peasants, to publicize Japanese thought, and to establish the perimeter of the party organization "Jiangnan anti-Japanese guerrilla people salvation." East water village Shen Yingjie, also participated in the Organization and served as team leader. August Zhu Xi Nan Xun Kang Wang, also has made a night attack bridge Japanese defenders, and the Eastern attack zhenze traitors was the puppet command, enemy steamer and seized a large quantity of firearms, ammunition, supplies and file photos of victory. That same month, Zhu Wang achieved in deqing, Wu Kang border forces also recovered "three mountains" (Hui shan, Shan, dry mountain) victory. In September, the second guerrilla Brigade of the Communist Party Member Wen Yongzhi as captain of Wuxing County about 150 guns, to shake off the annexation of the Wuxing County Government, and he demanded, Zhejiang Province, Lin Jie Xu knows delegate to the West to lead. Decided to Jie Xu with the reputation of the identity of the Chinese Communist Party, Xu Jin talks with Zhu Xi, Zhu Bucheng Brigade of temperature programmed. Zhu Xi, agreed. Thus, cleaning party members into the Zhu Xi forces, such as Xu, Xu by superiors and sent to party members after all. In October, party group, Xu cleaning team leader, directly under the leadership of CPC Zhejiang Provincial Committee. Party groups actively working, restored Han chang and others from the party. Help Zhu Xi established the Department and strengthen youth service corps, the establishment of women's team, run training courses in rotation drawn the officers and men of the Regiment, group. Strengthening the political and ideological education of officers and men, advocacy and national salvation movement aim to inspire soldiers 19((本小题满分12分) 某学校为促进学生的全面发展，积极开展丰富多样的社团活动，根据调查，学校在传统民族文化 的继承方面开设了“泥塑”、“剪纸”、“年画”三个社团，三个社团参加的人数如下表示所示: 社团 泥塑 剪纸 年画 人数 320 240 200 为调查社团开展情况，学校社团管理部采用分层抽样的方法从中抽取一个容量为n的样本，已知 从“剪纸”社团抽取的同学比从“泥塑”社团抽取的同学少2人( (I)求三个社团分别抽取了多少同学; (?)若从“剪纸”社团抽取的同学中选出2人担任该社团活动监督的职务，已知“剪纸”社团被抽 取的同学中有2名女生，求至少有1名女同学被选为监督职务的概率( 20((本小题满分12分) 22yx 没椭圆Cab:1(0)，,,的左、右焦点分别F、F，点P是椭圆短轴的一个端点，且焦距1222ab 为6，?P FF的周长为16( 12 (I)求椭圆C的方程; 4l?)求过点(3，0)且斜率为的直线被椭圆C所截线段的中点坐标。 (5 21((本小题满分14分) 如图，某小区有一边长为2(单位:百米)的正方形地块OABC， 其中OAE是一个游泳池，计划在地块OABC内修一条与池边AE相 l 切的直路(宽度不计)，切点为M，并把该地块分为两部分(现以点 O为坐标原点，以线段OC所在直线为x轴，建立平面直角坐标系， 12yxx,,，,,2(02 若池边AE满足函数的图象，且点M到边 2 OA距离为( tt(02),, 1lt, (I)当时，求直路所在的直线方程; 2 l (?)当t为何值时，地块OABC在直路不含泳池那侧的面积取到最大，最大值是多少, 22((本小题满分14分) 2x 已知函数?的图象过点(1，0) fxnxb()1,， (I)求fx()的解析式; 1fxnxt()1(,, (?)若为实数)恒成立，求的取值范围; tx 22xm，1m,0Fxfxx()(),，, (?)当时，讨论在区间(0，2)上极值点的个数。 2m Wang Department responsible for the pro-democracy movement the Han Chang Yan Tomb. He used to work, wide exposure to four rural peasants, to publicize Japanese thought, and to establish the perimeter of the party organization "Jiangnan anti-Japanese guerrilla people salvation." East water village Shen Yingjie, also participated in the Organization and served as team leader. August Zhu Xi Nan Xun Kang Wang, also has made a night attack bridge Japanese defenders, and the Eastern attack zhenze traitors was the puppet command, enemy steamer and seized a large quantity of firearms, ammunition, supplies and file photos of victory. That same month, Zhu Wang achieved in deqing, Wu Kang border forces also recovered "three mountains" (Hui shan, Shan, dry mountain) victory. In September, the second guerrilla Brigade of the Communist Party Member Wen Yongzhi as captain of Wuxing County about 150 guns, to shake off the annexation of the Wuxing County Government, and he demanded, Zhejiang Province, Lin Jie Xu knows delegate to the West to lead. Decided to Jie Xu with the reputation of the identity of the Chinese Communist Party, Xu Jin talks with Zhu Xi, Zhu Bucheng Brigade of temperature programmed. Zhu Xi, agreed. Thus, cleaning party members into the Zhu Xi forces, such as Xu, Xu by superiors and sent to party members after all. In October, party group, Xu cleaning team leader, directly under the leadership of CPC Zhejiang Provincial Committee. Party groups actively working, restored Han chang and others from the party. Help Zhu Xi established the Department and strengthen youth service corps, the establishment of women's team, run training courses in rotation drawn the officers and men of the Regiment, group. Strengthening the political and ideological education of officers and men, advocacy and national salvation movement aim to inspire soldiers Wang Department responsible for the pro-democracy movement the Han Chang Yan Tomb. He used to work, wide exposure to four rural peasants, to publicize Japanese thought, and to establish the perimeter of the party organization "Jiangnan anti-Japanese guerrilla people salvation." East water village Shen Yingjie, also participated in the Organization and served as team leader. August Zhu Xi Nan Xun Kang Wang, also has made a night attack bridge Japanese defenders, and the Eastern attack zhenze traitors was the puppet command, enemy steamer and seized a large quantity of firearms, ammunition, supplies and file photos of victory. That same month, Zhu Wang achieved in deqing, Wu Kang border forces also recovered "three mountains" (Hui shan, Shan, dry mountain) victory. In September, the second guerrilla Brigade of the Communist Party Member Wen Yongzhi as captain of Wuxing County about 150 guns, to shake off the annexation of the Wuxing County Government, and he demanded, Zhejiang Province, Lin Jie Xu knows delegate to the West to lead. Decided to Jie Xu with the reputation of the identity of the Chinese Communist Party, Xu Jin talks with Zhu Xi, Zhu Bucheng Brigade of temperature programmed. Zhu Xi, agreed. Thus, cleaning party members into the Zhu Xi forces, such as Xu, Xu by superiors and sent to party members after all. In October, party group, Xu cleaning team leader, directly under the leadership of CPC Zhejiang Provincial Committee. Party groups actively working, restored Han chang and others from the party. Help Zhu Xi established the Department and strengthen youth service corps, the establishment of women's team, run training courses in rotation drawn the officers and men of the Regiment, group. Strengthening the political and ideological education of officers and men, advocacy and national salvation movement aim to inspire soldiers 福州市2012—2013学年第一学期高三期末质量检查 数学(文科)试卷参考答案及评分意见 一、选择题(本大题共12小题，每小题5分，共60分() 1.D 2.A 3.D 4.C 5.B 6.C 7.C 8.B 9.C 10.A 11.D 12.D 二、填空题(本大题共4小题，每小题4分，共16分() sinsinxxxx，，2121213( 14( 1或0 15(3 16(yx,42,sin 22 三、解答题(本大题共6小题，共74分.) 17((本小题满分12分) 解:(?)因点在直线的图象上，， (,)aa？,，aa32yx,，32nn，1nn，1 令，故只需证是等比数列， ???????????????????????????????????????????????????????????????????????? 2分 ,,b,a，1bnnn 31a，baa，，，1321，，n，，11nnn，，??????????????????????????????????????????? 4分 b,a，1,2,,,,311baaa，，，111nnnn 2数列是以为首项，3为公比的等比数列. ,,b？n 2即数列是以为首项，3为公比的等比数列. ?????????????????????????????????????????????????????????? 6分 ,,a，1n 2(?)由(?)知，数列,,是以为首项，3为公比的等比数列， a，1n n,1?，?????????????????????????????????????????????????????????????????????????????????????????????????????????????? 8分 a，,,123n n,1 ???????????????????????????????????????????????????????????????????????????????????????????????????????????????? 9分 a,,,231？n ,,a所以数列的前n项和 n n,1 S,,，，,，,,,，，,(21)(231)231n n,1?????????????????????????????????????????????????????????????????????????????????????????????????????10分 ,，，,,,，,2(133)n n,13,，,n2 ,13 n,,,31n.???????????????????????????????????????????????????????????????????????????????????????????????????????????????????????12分 18((本小题满分12分) ,f(x),sin2x，3cos2x,2sin(2x，),,,解:(?)因为，???????????????????????????????????????? 2分 3 Wang Department responsible for the pro-democracy movement the Han Chang Yan Tomb. He used to work, wide exposure to four rural peasants, to publicize Japanese thought, and to establish the perimeter of the party organization "Jiangnan anti-Japanese guerrilla people salvation." East water village Shen Yingjie, also participated in the Organization and served as team leader. August Zhu Xi Nan Xun Kang Wang, also has made a night attack bridge Japanese defenders, and the Eastern attack zhenze traitors was the puppet command, enemy steamer and seized a large quantity of firearms, ammunition, supplies and file photos of victory. That same month, Zhu Wang achieved in deqing, Wu Kang border forces also recovered "three mountains" (Hui shan, Shan, dry mountain) victory. In September, the second guerrilla Brigade of the Communist Party Member Wen Yongzhi as captain of Wuxing County about 150 guns, to shake off the annexation of the Wuxing County Government, and he demanded, Zhejiang Province, Lin Jie Xu knows delegate to the West to lead. Decided to Jie Xu with the reputation of the identity of the Chinese Communist Party, Xu Jin talks with Zhu Xi, Zhu Bucheng Brigade of temperature programmed. Zhu Xi, agreed. Thus, cleaning party members into the Zhu Xi forces, such as Xu, Xu by superiors and sent to party members after all. In October, party group, Xu cleaning team leader, directly under the leadership of CPC Zhejiang Provincial Committee. Party groups actively working, restored Han chang and others from the party. Help Zhu Xi established the Department and strengthen youth service corps, the establishment of women's team, run training courses in rotation drawn the officers and men of the Regiment, group. Strengthening the political and ideological education of officers and men, advocacy and national salvation movement aim to inspire soldiers ,,0因为，函数周期为 ????????????????????????????????????????????????????????????????????????????????????? 3分 ,fx() 2,,,,1所以，所以 ?????????????????????????????????????????????????????????????????????????????????? 4分 ,,,T,2,, ,,(?)由(?)知. 将函数的图象向左平移个单位后得到函数fxx()2sin(2),，yfx,()63 1,,,2的图象，再将所得图象各点的横坐标缩小为原来的倍，,，，,，yxx2sin[2()]2sin(2)2633 2,纵坐标不变，得到函数. ????????????????????????????????????????????????????????????????? 8分 ,，gxx()2sin(4)3 ,,,2k7,,,,k由，;得 -，2k,,4x，,，2k,,,,-x()kZ,()kZ,232224224 ,,,k5k23,,,,-由，2k,,4x，,，2k, ;得,x,， ()kZ,()kZ,224224232 k7,,,,k故函数的增区间为[，,] ; -gx()()kZ,224224 k5k,,,,-，，减区间为[]，. ?????????????????????????????????????????????????????????????????????????12分 ()kZ,224224 19((本小题满分12分) 解:(?)设抽样比为，则由分层抽样可知，“泥塑”、“剪纸”、“年画”三个社团抽取的人数分别为x 320x、240x、200x( ???????????????????????????????????????????????????????????????????????????????????????????????????????????? 1分 1320x,240x,2x,则由题意得，解得( ?????????????????????????????????????????????????????????????? 2分 40 11320，,8240，,6故“泥塑”、“剪纸”、“年画”三个社团抽取的人数分别为，，4040 1200，,5( ??????????????????????????????????????????????????????????????????????????????????????????????????????????????????? 4分 40 (?)由(?)知，从“剪纸”社团抽取的同学为6人，其中2位女生记为A，B，4位男生记为C，D，E，F(??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????? 6分 则从这6位同学中任选2人，不同的结果有 {A，B}，{A，C}，{A，D}，{A，E}，{A，F}， {B，C}，{B，D}，{B，E}，{B，F}， {C，D}，{C，E}，{C，F}， {D，E}，{D，F}， {E，F}， 共15种( ????????????????????????????????????????????????????????????????????????????????????????????????????????????????????? 8分 其中含有1名女生的选法为 {A，C}，{A，D}，{A，E}，{A，F}， {B，C}，{B，D}，{B，E}，{B，F}， 共8种;??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????10分 含有2名女生的选法只有{A，B}1种( 8，193,故至少有1名女同学被选中的概率为=( ??????????????????????????????????????????????????12分 51515Wang Department responsible for the pro-democracy movement the Han Chang Yan Tomb. He used to work, wide exposure to four rural peasants, to publicize Japanese thought, and to establish the perimeter of the party organization "Jiangnan anti-Japanese guerrilla people salvation." East water village Shen Yingjie, also participated in the Organization and served as team leader. August Zhu Xi Nan Xun Kang Wang, also has made a night attack bridge Japanese defenders, and the Eastern attack zhenze traitors was the puppet command, enemy steamer and seized a large quantity of firearms, ammunition, supplies and file photos of victory. That same month, Zhu Wang achieved in deqing, Wu Kang border forces also recovered "three mountains" (Hui shan, Shan, dry mountain) victory. In September, the second guerrilla Brigade of the Communist Party Member Wen Yongzhi as captain of Wuxing County about 150 guns, to shake off the annexation of the Wuxing County Government, and he demanded, Zhejiang Province, Lin Jie Xu knows delegate to the West to lead. Decided to Jie Xu with the reputation of the identity of the Chinese Communist Party, Xu Jin talks with Zhu Xi, Zhu Bucheng Brigade of temperature programmed. Zhu Xi, agreed. Thus, cleaning party members into the Zhu Xi forces, such as Xu, Xu by superiors and sent to party members after all. In October, party group, Xu cleaning team leader, directly under the leadership of CPC Zhejiang Provincial Committee. Party groups actively working, restored Han chang and others from the party. Help Zhu Xi established the Department and strengthen youth service corps, the establishment of women's team, run training courses in rotation drawn the officers and men of the Regiment, group. Strengthening the political and ideological education of officers and men, advocacy and national salvation movement aim to inspire soldiers 20((本小题满分12分) a,526c,,,解:(?)设椭圆的半焦距为，则由题设得，解得，所以c,,c,32216ac，,,, 22xy22222C，故所求的方程为. ????????????????????????????????????????????? 6分，,1bac,,,,,53162516 ??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????? ??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????? 44(?)解法一、过点且斜率为的直线方程为，„„„„„„„„„ 8分 3,0yx,,3，，，，55 C将之代入的方程，得 22x,3，，x2，即. ???????????????????????????????????????????????????????????????????????????????? 9分 xx,,,380，,12525 l3,0因为在椭圆内，所以直线与椭圆有两个交点AxyBxy,,,， ?????????????????????????10分 ，，，，，，1122 xx，312AB因为，所以线段中点的横坐标为,， xx，,31222 436,,纵坐标为. ?????????????????????????????????????????????????????????????????????????????????????????? 11分 ，,,,3,,525,, 36,,故所求线段的中点坐标为. ????????????????????????????????????????????????????????????????????????????????12分 ,,,,25,, 44l3,0yx,,3解法二、过点且斜率为的直线的方程为， ???????????????????????????????????????? 8分 ，，，，55 l3,0因为在椭圆内，所以直线与椭圆有两个交点， ，， AxyBxy,,,(x,y)设两交点的坐标分别为，中点M的坐标为 ，，，，001122 22xy,11，,1(1),,2516则有 ????????????????????????????????????????????????????????????????????????????????????????????? 9分 ,22xy22,，,1(2),2516, ()()()()x,xx，xy,yy，y12121212,,由(1)-(2)得， 2516 Wang Department responsible for the pro-democracy movement the Han Chang Yan Tomb. He used to work, wide exposure to four rural peasants, to publicize Japanese thought, and to establish the perimeter of the party organization "Jiangnan anti-Japanese guerrilla people salvation." East water village Shen Yingjie, also participated in the Organization and served as team leader. August Zhu Xi Nan Xun Kang Wang, also has made a night attack bridge Japanese defenders, and the Eastern attack zhenze traitors was the puppet command, enemy steamer and seized a large quantity of firearms, ammunition, supplies and file photos of victory. That same month, Zhu Wang achieved in deqing, Wu Kang border forces also recovered "three mountains" (Hui shan, Shan, dry mountain) victory. In September, the second guerrilla Brigade of the Communist Party Member Wen Yongzhi as captain of Wuxing County about 150 guns, to shake off the annexation of the Wuxing County Government, and he demanded, Zhejiang Province, Lin Jie Xu knows delegate to the West to lead. Decided to Jie Xu with the reputation of the identity of the Chinese Communist Party, Xu Jin talks with Zhu Xi, Zhu Bucheng Brigade of temperature programmed. Zhu Xi, agreed. Thus, cleaning party members into the Zhu Xi forces, such as Xu, Xu by superiors and sent to party members after all. In October, party group, Xu cleaning team leader, directly under the leadership of CPC Zhejiang Provincial Committee. Party groups actively working, restored Han chang and others from the party. Help Zhu Xi established the Department and strengthen youth service corps, the establishment of women's team, run training courses in rotation drawn the officers and men of the Regiment, group. Strengthening the political and ideological education of officers and men, advocacy and national salvation movement aim to inspire soldiers 16()xxyy，,1212即 ,,25()yyxx，,1212 16x440得，又， ????????????????????????????????????????????????????????????????????????????????11分 y,(x,3),,005255y0 3,x,0,,2所以 ,6,y,,0,5, 36,,故所求线段的中点坐标为. ???????????????????????????????????????????????????????????????????????????????????12分 ,,,,25,, 21((本小题满分12分) 12,解:(?)?，?， yx,,yx,,，22 12?过点M 的切线的斜率为, ??????????????????????????????????????????????????????????????????????? 2分 ,t(,2)tt,，2 y 1122所以过点M的切线方程为，即; ytxt,,，，2yttxt,,，,,,(2)()22B A 1117l当时，切线的方程为„„„„„„„„„„„4分 t,yx,,，228 12l(?)由(?)知，切线的方程为:， ytxt,,，，22 tt x l令y,2，得(故切线与线段AB交点为F，„„„„5分 (,2)x,O 22 C 1122x,2l令，得(故切线与线段BC交点为G„„„„„„„„6分 (2,t-2t+2)ytt,,，2222 l,FBGft()地块OABC在切线右上部分的区域为一三角形，设其面积为， 1?， ???????????????????????????????????????????????????????????????????????????????????????????????????????? 8分 ftFBBG(),,2 1112 ,，，()()2-t-t+2t222 132(0<2)t, ??????????????????????????????????????????????????????????????????????????????????????????????????10分 ft()=t-t+2t8 32,? ft()t-2t+2,8 44ft()ft()?当时为单调递增函数;当时为单调递减函数， t,(，)0t,(，)233 4432ft()?当时，的最大值为( ????????????????????????????????????????????????????????????????????????11分 t,f()=3327 Wang Department responsible for the pro-democracy movement the Han Chang Yan Tomb. He used to work, wide exposure to four rural peasants, to publicize Japanese thought, and to establish the perimeter of the party organization "Jiangnan anti-Japanese guerrilla people salvation." East water village Shen Yingjie, also participated in the Organization and served as team leader. August Zhu Xi Nan Xun Kang Wang, also has made a night attack bridge Japanese defenders, and the Eastern attack zhenze traitors was the puppet command, enemy steamer and seized a large quantity of firearms, ammunition, supplies and file photos of victory. That same month, Zhu Wang achieved in deqing, Wu Kang border forces also recovered "three mountains" (Hui shan, Shan, dry mountain) victory. In September, the second guerrilla Brigade of the Communist Party Member Wen Yongzhi as captain of Wuxing County about 150 guns, to shake off the annexation of the Wuxing County Government, and he demanded, Zhejiang Province, Lin Jie Xu knows delegate to the West to lead. Decided to Jie Xu with the reputation of the identity of the Chinese Communist Party, Xu Jin talks with Zhu Xi, Zhu Bucheng Brigade of temperature programmed. Zhu Xi, agreed. Thus, cleaning party members into the Zhu Xi forces, such as Xu, Xu by superiors and sent to party members after all. In October, party group, Xu cleaning team leader, directly under the leadership of CPC Zhejiang Provincial Committee. Party groups actively working, restored Han chang and others from the party. Help Zhu Xi established the Department and strengthen youth service corps, the establishment of women's team, run training courses in rotation drawn the officers and men of the Regiment, group. Strengthening the political and ideological education of officers and men, advocacy and national salvation movement aim to inspire soldiers 400?当点M到边OA距离为m时， 3 3200002l地块OABC在直路不含游泳池那侧的面积取到最大，最大值为m(??????????????????????12分 27 22.(本小题满分14分) 2解:(?)函数的图象过定点(1，0)，„„„„„„„„„„„„„„1分 fxxbx()ln,， 2b,0把点(1，0)代入得， fxxbx()ln,， 所以，„„„„„„„„„„„„„„„„„„„„„„„„„„„„„„„2分 fxx()ln, t(?)f(nxx),,l恒成立， x ttx,0即,,lnlnxx恒成立，得,2lnx，因为， xx txx,2ln所以， ???????????????????????????????????????????????????????????????????????????????????????????????????????????? 3分 令， ????????????????????????????????????????????????????????????????????????????? 4分 hxxxhxx()2ln,'()2(ln1),,， 11(0,)当x,(0,)时，，所以在为减函数; ????????????????????????????????????????????? 5分 hx'()0,hx()ee 11(,)，,x,，,(,)当时，，所以在为增函数; ?????????????????????????????????????? 6分 hx'()0,hx()ee 122h(),,t,,的最小值为，故 ; ???????????????????????????????????????????????????????????????????????? 7分 hx()eee 22xm，1fxx()ln,(?)由(?)知，，所以 Fxxxx()ln(0),，,,2m 1()()xmx,,211m，所以 mFxx'(),，,,xmx 1,F(x),0x,m,x又x,0，由得，，( ???????????????????????????????????????????????????????????????? 9分 12m 1,F(x),0F(x)m,m,1(1)当时，得，，在(0，2)为增函数，无极值点; ?????????10分 m 0,m,2,11,,xFxFx、、,m,2m,，，，，m,1(2)当且时，得且，根据的变化情况检验，1,0,,2m2,m, F(x)可知有2个极值点; ??????????????????????????????????????????????????????????????????????????????????????????????????12分 Wang Department responsible for the pro-democracy movement the Han Chang Yan Tomb. He used to work, wide exposure to four rural peasants, to publicize Japanese thought, and to establish the perimeter of the party organization "Jiangnan anti-Japanese guerrilla people salvation." East water village Shen Yingjie, also participated in the Organization and served as team leader. August Zhu Xi Nan Xun Kang Wang, also has made a night attack bridge Japanese defenders, and the Eastern attack zhenze traitors was the puppet command, enemy steamer and seized a large quantity of firearms, ammunition, supplies and file photos of victory. That same month, Zhu Wang achieved in deqing, Wu Kang border forces also recovered "three mountains" (Hui shan, Shan, dry mountain) victory. In September, the second guerrilla Brigade of the Communist Party Member Wen Yongzhi as captain of Wuxing County about 150 guns, to shake off the annexation of the Wuxing County Government, and he demanded, Zhejiang Province, Lin Jie Xu knows delegate to the West to lead. Decided to Jie Xu with the reputation of the identity of the Chinese Communist Party, Xu Jin talks with Zhu Xi, Zhu Bucheng Brigade of temperature programmed. Zhu Xi, agreed. Thus, cleaning party members into the Zhu Xi forces, such as Xu, Xu by superiors and sent to party members after all. In October, party group, Xu cleaning team leader, directly under the leadership of CPC Zhejiang Provincial Committee. Party groups actively working, restored Han chang and others from the party. Help Zhu Xi established the Department and strengthen youth service corps, the establishment of women's team, run training courses in rotation drawn the officers and men of the Regiment, group. Strengthening the political and ideological education of officers and men, advocacy and national salvation movement aim to inspire soldiers 0,m,2m,2,,1,,,xFxFx、、(3)当或时，得或时，根据的变化情0,m,，，，，m,2,1,11,20,,22,,mm,, F(x)况检验，可知有1个极值点; ????????????????????????????????????????????????????????????????????????????????????13分 1F(x)F(x)综上，当时，函数在(0，2)无极值点;当或时，有1个极值点;0,m,m,1m,22 1F(x)当,m,2且时，有2个极值点( ??????????????????????????????????????????????????????????????14分 m,12 Wang Department responsible for the pro-democracy movement the Han Chang Yan Tomb. He used to work, wide exposure to four rural peasants, to publicize Japanese thought, and to establish the perimeter of the party organization "Jiangnan anti-Japanese guerrilla people salvation." East water village Shen Yingjie, also participated in the Organization and served as team leader. August Zhu Xi Nan Xun Kang Wang, also has made a night attack bridge Japanese defenders, and the Eastern attack zhenze traitors was the puppet command, enemy steamer and seized a large quantity of firearms, ammunition, supplies and file photos of victory. That same month, Zhu Wang achieved in deqing, Wu Kang border forces also recovered "three mountains" (Hui shan, Shan, dry mountain) victory. In September, the second guerrilla Brigade of the Communist Party Member Wen Yongzhi as captain of Wuxing County about 150 guns, to shake off the annexation of the Wuxing County Government, and he demanded, Zhejiang Province, Lin Jie Xu knows delegate to the West to lead. Decided to Jie Xu with the reputation of the identity of the Chinese Communist Party, Xu Jin talks with Zhu Xi, Zhu Bucheng Brigade of temperature programmed. Zhu Xi, agreed. Thus, cleaning party members into the Zhu Xi forces, such as Xu, Xu by superiors and sent to party members after all. In October, party group, Xu cleaning team leader, directly under the leadership of CPC Zhejiang Provincial Committee. Party groups actively working, restored Han chang and others from the party. Help Zhu Xi established the Department and strengthen youth service corps, the establishment of women's team, run training courses in rotation drawn the officers and men of the Regiment, group. Strengthening the political and ideological education of officers and men, advocacy and national salvation movement aim to inspire soldiers