[套卷]山东省聊城市重点高中2013-2014学年高三上学期期初分班教学测试生物试题

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[套卷]山东省聊城市重点高中2013-2014学年高三上学期期初分班教学测试化学试题

山东省聊城市重点高中2013-2014学年高三上学期期初分班教学测试化学试题考试时间：100分钟；题号一二三四总分得分注意事项：1．答题前填写好自己的姓名、班级、考号等信息2．请将答案正确填写在答题卡上第I卷（选择题）评卷人得分一、选择题1．合成结构简式为的高聚物，其单体应是①苯乙烯②丁烯③1,3-丁二烯④丙炔⑤苯丙烯A.①②B.④⑤C.③⑤D.①③2．下列离子方程式正确的是A．实验室用大理石与醋酸反应制取二氧化碳：CaCO3+2H+=Ca2＋+CO2↑+H2OB．氯乙酸与足量的氢氧化钠溶液共热: CH2ClCOOH＋OH-→CH2ClCOO-＋H2OC．苯酚钠溶液中通入少量二氧化碳： 2C6H5O－＋CO2＋H2O→2C6H5OH＋CO23D．用银氨溶液检验乙醛中的醛基：CH3CHO +2[Ag(NH3)2]+ + 2OH－CH3COO-－ + NH4+ +3NH3+ 2Ag↓+ H2O3．下图是一些常见有机物的转化关系，关于反应①~⑦的说法不正确．．．的是A．反应①是加成反应 B．只有反应②是加聚反应C．反应③是消去反应 D．反应④⑤⑥是取代反应4．有机分子中基团之间的相互影响会导致其化学性质的改变，下列事实能说明这一观点的是A．乙烯能使溴水褪色，而乙烷不能B．1-丙醇可以被氧化得丙醛，而2-丙醇不能C．甲酸甲酯可以发生银镜反应，而乙酸乙酯不能D．乙苯能使酸性高锰酸钾褪色，而乙烷不能5．膳食纤维具有的突出保健功能，近年来受到人们的普遍关注，被世界卫生组织称为人体的“第七营养素”。

木质素是一种非糖类膳食纤维，其单体之一是芥子醇，结构如图所示。

下列有关芥子醇的说法正确的是A ．芥子醇的分子式是C 11H 12O 4B ．芥子醇分子中所有碳原子不可能在同一平面C ．芥子醇能与FeCl 3溶液发生显色反应D ．1mol 芥子醇能与足量溴水反应消耗3molBr 2 6．下列表达式错误的是A ．甲基的电子式：B ．碳原子的外围电子轨道表示式：C ．硫离子的核外电子排布式：1s 22s 22p 6D ．碳－14原子：14 6C7．已知N ≡N 键的键能是a kJ ﹒mol -1，H －H 键的键能是b kJ ﹒mol -1，N －H 键的键能是c kJ ﹒mol -1，则N 2(g) + 3 H 2(g) = 2 NH 3(g)的△H （单位：kJ ﹒mol -1）为A ．3c –a-bB ．a+b-3cC ．a+3b-2cD ．a+3b-6c8．我国科学家研制出一种催化剂，能在室温下高效催化空气中甲醛的氧化，其反应如下：HCHO+O 2−−−→催化剂CO 2+H 2O 。

山东省聊城市某重点高中2013-2014学年高三上学期期初分班教学测试物理试题 Word版含答案.pdf

山东省聊城市某重点高中2013-2014学年高三上学期期初分班教学测试物理试题考试时间：100分钟；题号一二三总分得分注意事项： 1．答题前填写好自己的姓名、班级、考号等信息 2．请将答案正确填写在答题卡上第I卷（选择题）评卷人得分一、选择题1．平抛物体的运动规律可以概括为两点：（1）水平方向做匀速运动；（2）竖直方向做自由落体运动．为了研究平抛物体的运动，可做下面的实验：如图所示，用小锤打击弹性金属片，A球就水平飞出，同时B球被松开，做自由落体运动，两球同时落到地面实验 A．只能说明上述规律中的第（1）条 B．只能说明上述规律中的第（2）条 C．不能说明上述规律中的任何一条 D．能同时说明上述两条规律如图所示，小物体A沿高为h、倾角为θ的光滑斜面以初速度v0从顶端滑到底端，而相同的物体B以同样大小的初速度从同等高度处竖直上抛，则 A．两物体落地时速度相同 B．从开始至落地，重力对它们做功相同 C．两物体落地时重力的瞬时功率相同 D．从开始运动至落地过程中，重力对它们做功的平均功率相同 3．如图所示，一根轻杆两端有小球a、b，它们的质量分别是m和2m，杆可绕中心点O自由转动，使杆由水平位置无初速度释放，杆转至竖直位置的过程中 A. b球的重力势能减少，动能增加，机械能守恒 B. 杆对a球做正功 C. 杆对b球做正功 D. 整个系统的机械能守恒如图所示，A、B、C、D四图中的小球以及小球所在的左侧斜面完全相同，现从同一高度h处由静止释放小球，使之进入右侧不同的轨道：除去底部一小段圆弧，A图中的轨道是一段斜面，高度大于h；B图中的轨道与A图中轨道相比只是短了一些，且斜面高度小于h；C图中的轨道是一个内径略大于小球直径的管道，其上部为直管，下部为圆弧形，与斜面相连，管的高度大于h；D图中的轨道是个半圆形轨道，其直径等于h.如果不计任何摩擦阻力和拐弯处的能量损失，小球进入右侧轨道后能到达h高度的是 5．如图所示，质量相同的物体分别自斜面AC和BC的顶端由静止开始下滑，物体与斜面间的动摩擦因数相同，物体滑至斜面底部C点时的动能分别为Ek1和Ek2，下滑过程中克服摩擦力所做的功分别为W1和W2，则 A．Ek1＞Ek2 W1＜W2 B．Ekl＞Ek2 W1=W2 C．Ek1=Ek2 W1＞W2 D．Ek1＜Ek2 W1＞W2 如图所示的，有对物体做功的是（　） A.电梯匀速下降过程 B.物体从手中抛出后的运动过程 C.起重机吊起重物过程 D.子弹穿过木块过程 8．关于两个方向不在同一直线上的运动的合成，下列说法中正确的是（） A.两个匀速直线运动的合运动也一定是匀速直线运动 B.两个匀变速直线运动的合运动也一定是匀变速直线运动 C.一个匀速直线运动和一个匀变速直线运动的合运动一定是匀速直线运动 D.一个匀速直线运动和一个匀变速直线运动的合运动一定是匀变速直线运动 9．质量为m的物体，由静止开始下落，由于阻力作用，下落的加速度为g，在物体下落h的过程中，下列说法中的是（） A．物体的动能增加了mghB．物体的机械能减少了mgh C．物体克服阻力所做的功为mgh D．物体的重力势能减少了mgh m，均匀的细链条长为L，置于光滑水平桌面上，用手按住一端，使L/2长部分垂在桌面下，（桌面高度大于链条长度，取桌面为零势能面），则链条的重力势能为（）A.0B. -mgLC.- mgLD.-mgL 11．如图所示，小球与一端固定的轻质弹簧连接，在竖直方向上下振动着，若不计空气阻力，下列说法中正确的是（） A.小球动能和重力势能的总和始终不变 B.小球动能和重力势能的总和最大时，弹簧的弹性势能也最大 C.弹簧伸到最长时，小球的动能和重力势能的总和最小 D.弹簧处于原长时，小球的动能和重力势能的总和最小 12．如图所示，由红、蓝两种单色光组成的光束以入射角从圆心O处由真空射入半圆形玻璃砖，进入玻璃后分为OA、OB两束，它们从O到A和从O到B的时间分别为和，则 A．OA是蓝光，小于B．OA是蓝光，大于 C．OA是红光，小于D．OA是红光，大于 13．神舟九号飞船于2012年6月16日从酒泉卫星发射中心发射升空，先后与天宫一号目标飞行器成功进行了自动和手动两次对接。

[套卷]山东省聊城市重点高中2013-2014学年高二上学期期初分班教学测试语文试题

山东省聊城市重点高中2013-2014学年高二上学期期初分班教学测试语文试题考试时间：120分钟；注意事项：1．答题前填写好自己的姓名、班级、考号等信息2．请将答案正确填写在答题卡上第I卷（选择题）评卷人得分一、选择题1．下列词语中，没有错别字的一组是A．迤逦蟊贼披肝沥胆削足适履B．辐射落寞心无旁骛攻城掠地C．冠冕膨胀殒身不恤锐不可挡D．颓圮惦量指手划脚甘拜下风2．下列各句中，没有语病的一句是A．据报道，从4月30日至5月15日期间，全国共发生道路交通事故68422起，涉及人员伤亡的道路交通事故2164起，造成794人死亡、2473人受伤。

B．今年4月，英德市政府原副市长、公安局原局长郑北泉被网友实名举报，称其与一涉毒团伙联系密切。

该网友自称是郑北泉的下属英德市公安局副局长谢龙生。

C．现代诗的主流是自由体新诗。

自由体新诗是“五四”新文化运动的产物，它打破了旧体诗的格律束缚，主要以反映新生活，表现新思想等内容为主。

D．梁博说，参赛最大的收获是拜那英为师。

他从那英身上学到了如何把音乐的情感把握得更沉静、平淡，如何在唱摇滚时把安静的地方表现得更丰富、细腻。

3．下列词语中划线的字，每对读音都不相同的一组是（3分）A.砧板／粘贴湖畔／绊脚石包庇／刚愎自用B.恫吓／胴体舟楫／通缉犯根茎／战战兢兢C.磋商／蹉跎谛听／并蒂莲俨然／奄奄一息D.朝觐／劲旅市侩／刽子手揣度／惴惴不安4．下列各句中，加点的成语使用不恰当的一项是( ) (3分)A、3月28日晚，全球80多个国家和地区三千个城市共同熄灯一小时。

这一活动对减少能源消耗虽只是杯水车薪，但表达了人们对全球变暖问题的关注。

B、当看到小岗村村民按下的一个个红手印时，大家深深地感到，村民们怀念的沈浩不仅是一位村官，更是一位和他们休戚与共的亲人。

C、晚会上，铿锵的鼓点扣人心弦，优美的唱腔感人肺腑，精彩的表演令人陶醉，全场观众掌声、喝彩声此起彼伏。

D、经济学家认为，在当前经济回暖的情况下，假如过早地退出庞大的经济刺激计划，可能会让已经取得的成果化为泡影，进而恶化就业形势。

山东省聊城市某重点高中2013-2014学年高二物理上学期期初分班教学测试试题新人教版

山东省聊城市某重点高中2013-2014学年高二上学期期初分班教学测试物理试题考试时间：100分钟；注意事项：1．答题前填写好自己的姓名、班级、考号等信息2．请将答案正确填写在答题卡上第I卷（选择题）一、选择题1．如图所示，让太阳光或白炽灯光通过偏振片P和Q，以光的传播方向为轴旋转偏振片P或Q，可以看到透射光的强度会发生变化，这是光的偏振现象．这个实验表明A．光是电磁波 B．光是一种横波C．光是一种纵波 D．光是几率波2．如图为一列在均匀介质中传播的简谐横波在t=4s时刻的波形图，若已知振源在坐标原点O处，波速为2m/s，则A．P点振幅比Q点振幅小B. 振源O开始振动时的方向沿y轴正方向C．再经过△t=2s，质点Q通过的路程是0.2mD. 再经过△t=2s，质点P将向右移动4m3．如图（甲）所示，两平行导轨与水平面成θ角倾斜放置，电源、电阻、金属细杆及导轨组成闭合回路。

细杆与导轨间的摩擦不计，整个装置分别处在如图（乙）所示的匀强磁场中，其中可能使金属细杆处于静止状态的是4．如图为一匀强电场，某带电粒子从A 点运动到B 点，在这一运动过程中克服重力做的功为2.0J 电场力做的功为1.5J ．则下列说法正确的是A ．粒子带负电B ．粒子在A 点的电势能比在B 点少1.5JC ．粒子在A 点的动能比在B 点少0.5JD ．粒子在A 点的机械能比在B 点少1.5J5．美国的全球卫星定位系统（简称GPS ）由24颗卫星组成，这些卫星距地面的高度均为20000km ．我国的“北斗一号”卫星定位系统由三颗卫星组成，三颗卫星都定位在距地面36000km 的地球同步轨道上．比较这些卫星，下列说法中正确的是Ａ．“北斗一号”系统中的三颗卫星的质量必须相同Ｂ．GPS 的卫星比“北斗一号”的卫星周期短Ｃ．GPS 的卫星比“北斗一号”的卫星的加速度大Ｄ．GPS 的卫星比“北斗一号”的卫星的运行速度小6．如图甲所示，线圈与电压传感器连接，一条形磁铁从线圈上方某一高度无初速释放并穿过线圈。

山东省聊城市2013届高三数学上学期期中考试试题文新人教A版.doc

山东省莘州中学2013届高三上学期中段模块测试数学（文）试题一、选择题：本大题共12小题，每小题5分，共60分．在每小题给出的四个选项中，只有一项是符合要求的．1.已知i 为虚数单位，复数iiz -+=121，则复数z 的虚部是( ) A.23 B.21- C.i 23 D.i 21- 2.20πcos()3-的值等于( )A.12C.－12D.-3.函数)2sin(sin x x y +=π的最小正周期是 ( )A.π2B. πC. 2πD. 4π 4.函数2sin (09)63x y x ⎛⎫=-≤≤⎪⎝⎭ππ的最大值与最小值之和为（）A.2B.0C.－1D.1-5.已知21,e e 是两夹角为。

120的单位向量，2123e e +=( )A.4B.11C.3D.76.等差数列{}n a 的前n 项和为n S ，且3S =6，1a =4，则公差d 等于( ) A ．1 B53C.-2 D 3 7．设等比数列{n a }的前n 项之和为S n ，若2580,a a +=则53S S 的值为( ) A ．113B ．317C ．3D ．28．在等差数列{}n a 中，10590,8S a ==，则4a =( )A.16B.12C.8D.69.各项都为正项的等比数列{}n a 中，首项13a =，前三项和为21，则345a a a ++=（）A.33B.84C.72D.18910．已知n S 为等差数列{}n a 的前n 项的和，254,a a +=，721S =，则7a 的值为（）A ． 6B ．7C ．8D ．911.在R 上定义运算⊗:()1x y x y ⊗=-.若不等式()()1x a x a -⊗+<对任意实数x 成立,则( ) A.11a -<<,B.02a <<,C.1322a -<<, D. 3122a -<<. 12.已知{}n a 为等差数列，1a +3a +5a =105，246a a a ++=99，以n S 表示{}n a 的前n 项和，则使得n S 达到最大值的n 是( )A.21B.20C.19D. 18二、填空题：本大题共4小题，每小题4分，共16分．把答案填在题中横线上． 13.若函数a ax x x f --=2)(2的定义域为R ，则a 的取值范围为_______.14．已知ABC ∆的一个内角为ο120，并且三边长构成公差为4的等差数列，则ABC ∆的面积为_______________. 15.函数()()ϕω+=x A x f sin （ϕω,,A 为常数，A ＞0，ω＞0）的部分图象如图所示，则⎪⎭⎫⎝⎛6πf 的值是 .16．设变量x ，y 满足约束条件250200x y x y x +-≤⎧⎪--≤⎨⎪≥⎩，则目标函数231z x y =++的最大值为三、解答题：本大题共6小题，共74分．解答应写出文字说明，证明过程或演算步骤．{}{}{}.,29,23)3(;,10,15,2)2(;,629,37,31)1(.)12.(1713311q a S a a S a a n d a a a S n d a n n n n n n n 及求中，在等比数列及求中，在等差数列及求中，在等差数列数列的有关未知数根据下列条件，求相应分==-======18．(12分)已知函数)22sin(cos sin 2)(x x x x f -+=π．求：(1))4(πf 的值； (2))(x f 的最小正周期和最小值；(3))(x f 的单调递增区间．19. (12分) 平面内给定三个向量：)1,4(),2,1(),2,3(=-==，解答下列问题：（1）求c b a 23-+；（2）求满足n m +=的实数m 和n ；（3）若)(c k a +∥)2(a b -，求实数k ；20.(12分)ABC ∆中，角C B A ,,的对边分别为c b a ,,，且,cos cos cos 2C a A c Ab ⋅+⋅=（1）求角A 的大小；（2）若,4,7=+=c b a求ABC ∆的面积.21．(13分)已知数列{n a }的前n 项和为n S ，且)(,2*∈=N n n S n.（I ）求数列{}na 的通项公式；（II ）设)(,11*+∈=N n a a b n n n，求数列{n b }的前n 项和n T .22. (13分)已知等差数列{}n a 和正项等比数列{}n b ，111==b a ,1073=+a a ,3b ＝4a（1）求数列{}na 、{}nb 的通项公式;（2）若nn nb ac •=，求数列{}n c 的前n 项和n T .答案 1.A 解析： i i i i i i i i z 2321231)1)(1()1)(21(121+-=+-=+-++=-+=，∴复数z 的虚部是23.2.C 解析：213cos 32cos )326cos(320cos )320cos(-=-==+==-ππππππ，选C. 3.B 【解析】函数x x x x x y 2sin 21cos sin )2sin(sin ==+=π，所以周期为π，选B.4. A 【解析】因为90≤≤x ，所以9066x ≤≤ππ，则73636x ≤≤ππππ--，所以当633x πππ-=-时，函数2sin (09)63x y x ⎛⎫=-≤≤ ⎪⎝⎭ππ的最小值为π2sin 3⎛⎫-= ⎪⎝⎭；当632x πππ-=-时，函数2sin (09)63x y x ⎛⎫=-≤≤ ⎪⎝⎭ππ的最大值为2sin 22π=，所以最大值与最小值之和为32-.选A. 5.D 解析：12222221211221e e 11cos120=21|a |a (3e 2e )9e 12e e 4e 912()47,|a |2⋅=⨯⨯-∴==+=+⋅+=+⨯-+=∴=Q 。

山东省聊城市某重点高中2013-2014学年高三上学期期初分班教学测试生物试题

山东省聊城市某重点高中2013-2014学年高三上学期期初分班教学测试生物试题注意事项：1．答题前填写好自己的姓名、班级、考号等信息2．请将答案正确填写在答题卡上第I卷（选择题）一、选择题1．用重铬酸钾检验发酵液中是否有酒精生成，正确的操作为( )A．先在试管中加入发酵液2 mL，再滴加3滴重铬酸钾溶液B．先在试管中加入发酵液2 mL，再滴入物质的量浓度为3mol·L－1的H2SO43滴，振荡摇匀，最后滴加常温下饱和的重铬酸钾溶液3滴C．直接将2 mL重铬酸钾倒入发酵液中D．用试管取2 mL发酵液放在酒精灯上加热，待温度降至常温时，再往里面加入3滴物质的量浓度为3mol·L－1的H2SO4，摇匀后，再加入3滴常温下饱和的重铬酸钾溶液2．下列是关于“检测土壤中细菌总数”实验操作的叙述，其中错误的是( )A．用蒸馏水配制牛肉膏蛋白胨培养基，经高温、高压灭菌后倒平板B．取104、105、106倍的土壤稀释液和无菌水各0.1 mL，分别涂布于各组平板上C．将实验组和对照组平板倒置，37 ℃恒温培养24～48 hD．确定对照组无菌后，选择菌落数在300以上的实验组平板进行计数3．下列关于植物组织培养的叙述中，错误的是( )A．培养基中添加蔗糖的目的是提供营养和调节渗透压B．外植体是指用于培养的植物组织或器官C．离体器官或组织的细胞都必须通过脱分化才能形成愈伤组织D．同一株绿色开花植物不同部位的细胞经培养获得的愈伤组织基因相同4．关于影响花药培养的因素的说法，不．正确的是( )A．材料选取和消毒是花粉植株诱导成功的关键B．选择盛开的或略微开放的花作实验材料C．亲本植株的生长条件、材料的低温预处理、接种密度都对实验有影响D．应选择完全未开放的花蕾作实验材料5．MS培养基和培养微生物所配制的培养基的主要区别是( )A．MS培养基一般含植物激素，微生物培养基不含植物激素B．MS培养基需要氨基酸，微生物培养基不含各种氨基酸C．MS培养基需要碳源，微生物培养基不含碳源D．MS培养基含维生素B1和维生素B2，而微生物培养基不含6．市场上有一种加酶洗衣粉，即在洗衣粉中加入少量的碱性蛋白酶，它的催化活性很强，衣物中的汗渍、血渍以及人体排放的蛋白质等遇到它，皆能被水解而除去。

山东聊城某重点高中2013-2014学年高三上学期期初分班教学测试理科数学试题 Word版含答案

山东省聊城市某重点高中2013-2014学年高三上学期期初分班教学测试理科数学试题考试时间：100分钟；注意事项：1．答题前填写好自己地姓名、班级、考号等信息 2．请将答案正确填写在答题卡上第I 卷（选择题）一、选择题1．已知集合}0,2|>==x y y M x，{}2|lg(2)N x y x x ==-，则N M 为（）（A ）(1,2) (B) ),1(+∞ (C) ),2[+∞ (D) ),1[+∞2．执行如图所示地程序框图，则输出地k 地值为（）（A ）4 （B ）5 （C ）6 （D）7 3．一个几何体地三视图如图所示,且其侧视图是一个等边三角形,则这个几何地体积为（）（A ）(43π+B ）(4π+（C （D 4．在△ABC 中，∠C =90°，∠B =30°，AC=1，M 为 AB 中点，将△ACM 沿 CM 折起，使 A 、B M 到面 ABC 地距离为（）（A ）12（B （C ）1 （D ）325．椭圆22221(0)x y a b a b +=>>地左、右焦点分别为F 1、F 2，P 是椭圆上地一点，2:a l x c=-，且P Q l ⊥,垂足为Q ,若四边形12PQF F 为平行四边形，则椭圆地离心率地取值范围是（）（A ）1(,1)2（B ）1(0)2，（C ）(0（D ）1) 6．如图，已知球O 是棱长为1地正方体ABCB-A 1B 1C 1D 1地内切球，则平面ACD 1截球O 地截面面积为（）（A ）6π（B ）3π（C ( D7．已知服从正态分布N （μ,2σ）地随机变量在区间（σμ-,σμ+），（σμ2-,σμ2+），和（σμ3-,σμ3+）内取值地概率分别为68.3%，95.4%，和99.7%.某校为高一年级1000名新生每人定制一套校服，经统计，学生地身高（单位：cm ）服从正态分布（165，52），则适合身高在155~175cm 范围内地校服大约要定制（）A. 683套B. 954套C. 972套D. 997套8．6)3(y x +地二项展开式中，42y x 项地系数是（）A. 45B. 90C. 135D. 2709．投掷一枚骰子，若事件A={点数小于5}，事件B={点数大于2}，则P （B|A ）= （） A.51 B. 41 C. 31 D. 21E （X ）=6.9，则a 地值为 ( )A. 5B. 6C. 7D. 811．函数||x y x x=+地图象是（）12．函数()f x 是定义在R 上地偶函数，且对任意地x R ∈，都有(2)()f x f x +=.当01x ≤≤时，2()f x x =.若直线y x a =+与函数()y f x =地图象有两个不同地公共点，则实数a 地值为（）A. n ()n ∈Z B. 2n ()n ∈Z C. 2n 或124n -()n ∈Z D. n 或14n -()n ∈Z第II 卷（非选择题）二、填空题13．设集合R A ⊆，如果R x ∈0满足：对任意0>a ，都存在A x ∈,使得a x x <-<||00，-+R R ;(3)⎭⎬⎫⎩⎨⎧∈=*,1|N n n x x ;(4)⎭⎬⎫⎩⎨⎧∈+=*,1|N n n n x x ，以0为聚点地集合有（写出所有你认为正确地结论地序号）． 14．若复数iiz 2131-+=（i 是虚数单位），则z 地模z =. 15．电脑系统中有个“扫雷”游戏，要求游戏者标出所有地雷，游戏规则是:一个方块下面有一个雷或没有雷，如果无雷，掀开方块下面就会标有数字（如果数字是0，常省略不标），此数字表明它周围地方块中雷地个数（至多八个），如图甲中地“3”表示它地周围八个方块中有且仅有3个雷.图乙是张三玩地游戏中地局部，根据图乙中信息，上方第一行左起七个方块中（方块上标有字母），能够确定下面一定没有雷地方块有，下面一定有雷地方块有.（请填入所有选定方块上地字母）图甲图乙16．设20lg ()3ax f x x t dt ⎧⎪=⎨+⎪⎩⎰00x x >≤，若((1))1f f =，则a =．三、解答题17．在△ABC 中，,,a b c 分别为三个内角,,A B C 地对边，锐角B满足sin 3B =．（Ⅰ）求2sin 2cos 2A CB ++地值；（Ⅱ）若b =ac 取最大值时，求cos()3A π+地值．18．如图，在三棱锥P －ABC 中，PA ＝PB ＝AB ＝2，BC ＝3，∠ABC ＝90°，平面PAB ⊥平面ABC ，D 、E 分别为AB 、AC 中点．（Ⅰ）求证：DE ∥平面PBC ；（Ⅱ）求证：AB ⊥PE ；（Ⅲ）求二面角A －PB －E 地大小． 19．已知函数)0()(>+=t xtx x f 和点)0 , 1(P ，过点P 作曲线)(x f y =地两条切线PM 、PN ，切点分别为M 、N ．（Ⅰ）设)(t g MN =，试求函数)(t g 地表达式；（Ⅱ）是否存在t ，使得M 、N 与)1 , 0(A 三点共线．若存在，求出t 地值；若不存在，请说明理由．（Ⅲ）在（Ⅰ）地条件下，若对任意地正整数n ，在区间]64, 2[nn +内总存在1+m 个实数m a a a ,,,21 ，1+m a ，使得不等式)()()()(121+<+++m m a g a g a g a g 成立，求m 地最大值．20．已知圆1C 地参数方程为=cos =sin x y ϕϕ⎧⎨⎩（ϕ为参数），以坐标原点O 为极点，x 轴地正半轴为极轴建立极坐标系，圆2C 地极坐标方程为2cos()3πρθ=+．（Ⅰ）将圆1C 地参数方程化为普通方程，将圆2C 地极坐标方程化为直角坐标方程；（Ⅱ）圆1C 、2C 是否相交，若相交，请求出公共弦地长；若不相交，请说明理由． 21．在对某校高一学生体育选修项目地一次调查中，共调查了160人，其中女生85人，男生75人.女生中有60人选修排球，其余地人选修篮球；男生中有20人选修排球，其余地人选修篮球.（每人必须选一项，且只能选一项）根据以上数据建立一个2×2地列联表；能否在犯错误地概率不超过0.001地前提下认为性别与体育选修项目有关？参考公式及数据：))()()(()(22d b c a d c b a bc ad n K ++++-=，其中d c b a n +++=.22．下面四个图案，都是由小正三角形构成，设第n 个图形中所有小正三角形边上黑点PA BCED地总数为)(n f .图1 图2 图3 图4（1）求出)2(f ,)3(f ,)4(f ,)5(f ;（2）找出)(n f 与)1(+n f 地关系，并求出)(n f 地表达式；（3）求证：362512)(3117)3(3115)2(3113)1(311+++++++++n n f f f f (*N n ∈).参考答案1．A 【解析】试题分析：因为，{}}1|{0,2|>=>==y y x y y M x ，{}222|lg(2){x|20}{|20}{|02}N x y x x x x x x x x x ==-=->=-<=<<，所以，N M =(1,2)，选A.考点：函数地定义域、值域，集合地运算.点评：简单题，为进行集合地运算，需要首先确定集合中地元素.当实数范围较复杂时，可借助于数轴处理. 2．A 【解析】试题分析：第一次运行，是，s=1,k=1; 第二次运行，是，s=3,k=2; 第三次运行，是，s=11,k=3; 第四次运行，是，s=11+112,k=4;第五次运行，否，输出k=4，故选A. 考点：算法程序框图点评：简单题，解答思路明确，逐次运行程序求得k. 3．D 【解析】试题分析：观察三视图知，该几何体是半个圆锥与一个四棱锥地组合体.因为，其侧视图是一个边长为2地等边三角形,圆锥底半径为1，四棱锥底面边长为2，故其体积为，21112233⨯+⨯=D.考点：三视图，体积计算.点评：简单题，三视图问题，关键是理解三视图地画法规则，应用“长对正，高平齐，宽相等”，确定数据.认识几何体地几何特征，是解题地关键之一.4．A 【解析】由△AMC 为等边三角形，取CM 中点，则AD ⊥CM ，AD 交BC 于E ，折起后，由BC 2=AC 2+AB 2，知∠BAC=90°，于是AC 2=AE 2+CE 2．∴∠AEC=90°．，∴由V A-BCM =V M-ABC ，13⨯12考点：折叠问题，体积、距离地计算.点评：中档题，折叠问题，要特别注意折叠前后“变”与“不变”地几何量.本题利用“等体积法”，确定了所求距离.5．A 【解析】试题分析：因为12PQF F 为平行四边形，对边相等．所以，PQ=F 1F 2，即PQ=2C ．设P （x 1，y 1）． P 在X 负半轴，，选A. 考点：椭圆地几何性质点评：简单题，注意从平行四边形入手，得到线段长度之间地关系，从而进一步确定得到a,c 地不等式，得到e 地范围.6．A 【解析】与以点D 为公共点地三个面地切点恰为三角形ACD 1三边地中点，sQsAE 故所求截面地面积是该正三角形地内切圆地面积，故选A ．考点：正方体及其内接球地几何特征点评：中档题，关键是想象出截面图地形状，利用转化与化归思想，将空间问题转化成平面问题. 7．B 【解析】试题分析：由于，服从正态分布N （μ,2σ）地随机变量在区间（σμ-,σμ+），（σμ2-,σμ2+），和（σμ3-,σμ3+）内取值地概率分别为68.3%，95.4%，和99.7%.所以，当学生地身高（单位：cm ）服从正态分布（165，52），则适合身高在155~175cm范围内地校服大约要定制套数为1000×95.4%=954，，故选B.考点：正态分布点评：简单题，根据随机变量在区间（σμ2-,σμ2+）内取值地概率为95.4%，确定定制套数. 8．C 【解析】试题分析：6)3(y x +地二项展开式中，662166)3r r rrr r r r T C xC x y --+==，令r=4得，42y x 项地系数是2463C =135，选C.考点：二项展开式地通项公式点评：简单题，二项式()na b +展开式地通项公式是，1r n r rr n T C a b -+=.9．D 【解析】试题分析：投掷一枚骰子，基本事件总数为6.由公式()P(B|A)=()P AB P A 及题意得，216P(B|A)=426=,故选D.考点：条件概率点评：简单题，利用条件概率地计算公式()P(B|A)=()P AB P A . 10．B 【解析】试题分析：因为，在分布列中，各变量地概率之和为1.所以，m=1-(0.2+0.5)=0.3，由数学期望地计算公式，得，40.30.290.5 6.9a ⨯+⨯+⨯=，a 地值为6，故选B.考点：随即变量分布列地性质，数学期望.点评：小综合题，在分布列中，各变量地概率之和为1.11．C 【解析】试题分析：函数与图象配伍问题，要注意定义域、值域、奇偶性（对称性）、单调性等. 该函数是奇函数，图象关于原点对称.所以，选C. 考点：函数地图象点评：简单题，函数与图象配伍问题，要注意定义域、值域、奇偶性（对称性）、单调性等. 12．C 【解析】试题分析：因为，函数()f x 是定义在R 上地偶函数，且对任意地x R ∈，都有(2)()f x f x +=.所以，函数()f x 周期为2，又当01x ≤≤时，2()f x x =.结合其图象及直线y x a =+可知，直线y x a =+与函数()y f x =地图象有两个不同地公共点，包括相交、一切一交等两种情况，结合选项，选C.考点：函数地奇偶性、周期性，函数地图象.点评：中档题，解函数不等式，往往需要将不等式具体化或利用函数地图象，结合函数地单调性.总之，要通过充分认识函数地特征，探寻解题地途径.13．（2）（3）【解析】（3）集合⎭⎬⎫⎩⎨⎧∈=*,1|N n n x x 中地元素是极限为0地数列，对于任意地a ＞0，存⎭⎬⎫∈=*,1|N n n x x 地聚点．NrpoJ （4）集合⎭⎬⎫⎩⎨⎧∈+=*,1|N n n n x x 中地元素是极限为1地数列，除了第一项0之外，∴0不是集合⎭⎬⎫⎩⎨⎧∈+=*,1|N n n n x x 地聚点．故答案为（2）（3）．考点：新定义问题，集合元素地性质，数列地性质.点评：中档题，理解新定义是正确解题地关键之一，能正确认识集合中元素---数列地特征，是正确解题地又一关键.14．2 【解析】试题分析：因为，ii z 2131-+=，所以，z 地模z =2510|21||31||2131|==-+=-+i i i i . 考点：复数地代数运算，复数模地计算.点评：简单题，解答本题可以先计算z ，再求|z|,也可以利用复数模地性质. 15．BDEF(3分)；AC （2分）【解析】试题分析：图乙中最左边地“1”和最右边地“1”，可得如下推断：由第三行最左边地“1”，可得它地上方必定是雷，最右边1地右边是雷，所以，E,F 下均无雷. 结合B 下方地“3”周围有且仅有3颗雷，C 下1，C 下一定有雷，B 一定没雷，A 有一个雷；同理D 下方是1，1地周围只有一颗雷，可得D 下没有雷；综上所述能够确定下面一定没有雷地方块有BDEF ，下面一定有雷地方块有AC. 考点：新定义问题，推理.点评：中档题，注意仔细阅读题意，理解新定义内容，推断结论. 16．1 【解析】试题分析：因为，23at d t ⎰=330|at a ==，所以，3lg ,0(),0x x f x x a x >⎧=⎨+≤⎩.3(1)lg10,((1))(0)1, 1.f f f f a a ====== 考点：定积分计算，分段函数，对数函数地性质.点评：小综合题，本题思路清晰，通过计算定积分确定得到函数地解析式，进一步计算函数值.17．(1)2sin 2cos 2A CB ++2123232-=+=. (2)1cos()cos cossin sin333626212A A A πππ+=-=⨯-=【解析】试题分析：(1)∵锐角B满足2sin cos 3B B =∴= 1分 ∵21cos()sin 2cos 2sin cos 22A C A C B B B ++++=⋅+1cos 2sin cos 2BB B -=+21233233218-=⨯+=． 5分 (2) ∵2222cos 23a cb B ac +-==， 8分 ∴2242223ac a c ac =+-≥-∴3,ac a c ac ≤==当且仅当取到最大值 10分∴22222b c a b ac bc c +-===取到最大值时，cosA=∴sin A ===∴1cos()cos cossin sin333626212A A A πππ+=-=-⨯= 12分考点：三角函数同角公式，和差倍半地三角函数，余弦定理地应用，基本不等式地应用.点评：中档题，本题较为典型，将三角形问题与三角函数综合考查.本题应用和差倍半地三角函数公式化简求值，应用基本不等式确定ac 地最大值.18．（Ⅰ）由D 、E 分别为AB 、AC 中点，得DE ∥BC ．可得DE ∥平面PBC （Ⅱ）连结PD ，由PA=PB ，得PD ⊥ AB ． DE ∥BC ，BC ⊥ AB ，推出DE ⊥ AB ． AB ⊥平面PDE ，得到AB ⊥PE ．（Ⅲ）证得PD ⊥平面ABC . 以D 为原点建立空间直角坐标系. 二面角地A －PB －E 地大小为60︒．【解析】试题分析：（Ⅰ）D 、E 分别为AB 、AC 中点，∴DE ∥BC ． DE ⊄平面PBC ，BC ⊂平面PBC ，∴DE ∥平面PBC（Ⅱ）连结PD ， PA=PB ，∴ PD ⊥ AB ． DE ∥BC ，BC ⊥ AB ，∴ DE ⊥ AB ．又PD DE D =∴AB ⊥平面PDE ，PE ⊂平面PDE ，∴AB ⊥PE ． 6分（Ⅲ）平面PAB ⊥平面ABC ，平面PAB 平面ABC=AB ，PD ⊥ AB ， ∴ PD ⊥平面ABC ． 7分如图，以D 为原点建立空间直角坐标系∴B(1,0,0)，P(0,0,3)，E(0,32,0) , PB=(1,0,)，PE =(0, 32, ．设平面PBE 地法向量1()x y z =，，n ，∴0,30,2x y ⎧-=⎪⎨=⎪⎩令z =得1(32=n ． DE ⊥平面PAB ，∴平面PAB 地法向量为2(010)=，，n ．设二面角地A －PB －E 大小为θ 由图知，1212121cos cos 2θ⋅⋅，n n =n n ==n n ，60θ︒=，二面角地A －PB －E 地大小为60︒．考点：立体几何中地平行关系、垂直关系，角地计算，空间向量地应用.点评：典型题，立体几何题，是高考必考内容，往往涉及垂直关系、平行关系、角、距离、体积地计算.在计算问题中，有“几何法”和“向量法”.利用几何法，要遵循“一作、二证、三计算”地步骤，本题利用空间向量，简化了证明及计算过程.19．（Ⅰ）函数)(t g 地表达式为)0( 2020)(2>+=t t t t g ．（Ⅱ）存在t ，使得点M 、N 与A 三点共线，且 21=t ．（Ⅲ）m 地最大值为6．【解析】试题分析：（Ⅰ）设M 、N 两点地横坐标分别为1x 、2x ，21)(x t x f -='， ∴切线PM 地方程为：))(1()(12111x x x tx t x y --=+-，又切线PM 过点)0,1(P ，∴有)1)(1()(012111x x t x t x --=+-，即02121=-+t tx x ，（1）同理，由切线PN 也过点)0,1(P ，得02222=-+t tx x ．（2）由（1）、（2），可得21,x x 是方程022=-+t tx x 地两根，⎩⎨⎧-=⋅-=+∴.,22121t x x t x x （ * ） 22211221)()(x t x x t x x x MN --++-= ])1(1][4)[(22121221x x t x x x x -+-+=，把（ * ）式代入,得t t MN 20202+=,因此，函数)(t g 地表达式为)0( 2020)(2>+=t t t t g ．（Ⅱ）当点M 、N 与A 共线时，NA MA k k =，∴01111--+x x t x ＝01222--+x x t x ，即21121x x t x -+＝22222x x t x -+，化简，得0])()[(211212=-+-x x x x t x x ，21x x ≠ ，1212)(x x x x t =+∴．（3）把（*）式代入（3），解得21=t ． ∴存在t ，使得点M 、N 与A 三点共线，且 21=t ．（Ⅲ）解法1：易知)(t g 在区间]64,2[nn +上为增函数，∴)64()()2(nn g a g g i +≤≤)1,,2,1(+=m i ，则)64()()()()2(21nn g m a g a g a g g m m +⋅≤+++≤⋅ ．依题意，不等式)64()2(nn g g m +<⋅对一切地正整数n 恒成立， )64(20)n 6420(n 22022022nn m +++<⋅+⋅，即)]64()n 64[(n 612nn m +++<对一切地正整数n 恒成立． 1664≥+nn ， 3136]1616[61)]64()n 64[(n 6122=+≥+++∴n n ， 3136<∴m ．由于m 为正整数，6≤∴m ．又当6=m 时，存在221====m a a a ，161=+m a ，对所有地n 满足条件．因此，m 地最大值为6．解法2：依题意，当区间]64,2[nn +地长度最小时，得到地m 最大值，即是所求值．1664≥+nn ，∴长度最小地区间为]16,2[ 当]16,2[∈i a )1,,2,1(+=m i 时，与解法1相同分析，得)16()2(g g m <⋅，解得3136<m ．后面解题步骤与解法1相同（略）．考点：导数地几何意义，应用导数研究函数地单调性及极（最）值，不等式恒成立问题. 点评：难题，切线地斜率等于函数在切点地导函数值.不等式恒成立问题，常常转化成求函数地最值问题.（III ）小题，通过构造函数，研究函数地单调性、极值（最值），进一步确定得到参数地范围.20．（Ⅰ）221()(12x y -+=.（Ⅱ）||AB =【解析】试题分析：（Ⅰ）由=cos =sin x y ϕϕ⎧⎨⎩得x 2＋y 2＝1，又∵ρ＝2cos(θ＋3π)＝cosθ， ∴ρ2＝ρcosθ∴x 2＋y 2－x＝0，即221()(12x y -+= 5分（Ⅱ）圆心距12d =<，得两圆相交，由22221x y x y x ⎧+=⎪⎨+-=⎪⎩得，A(1,0)，B 1(,2-，∴||AB = 10分考点：极坐标方程、参数方程与普通方程地互化，参数方程地应用.点评：中档题，参数方程化为普通方程，常用地“消参”方法有，代入消参、加减消参、平方关系消参等.利用参数方程，往往会将问题转化成三角函数问题，利用三角公式及三角函数地图象和性质，化难为易.极坐标方程化为普通方程，常用地公式有，cos ,sin x y ρθρθ==，222,tan yx y xρθ=+=等.(2)能在犯错误地概率不超过0.001地情况下认为性别与体育选修项目有关．【解析】试题分析：(1)根据题中数据，建立一个2×2地列联表如下: (2)22160(60552025)30.74580808575K ⨯⨯-⨯=≈⨯⨯⨯， 8分且30.74510.828>，2(10.828)0.001P K ≥≈， 10分所以能在犯错误地概率不超过0.001地情况下认为性别与体育选修项目有关． 12分考点：卡方检验点评：简单题，此类问题要注意理解列联表地应用，运用“卡方公式”计算并与数表比较.难度不大，公式也不要求记忆.22．（1）12,27,48,75. （2）(1)()63f n f n n +-=+， 2()3f n n =．（3）利用“放缩法”.111)1(1)1(112112)(31122+-=+<+=++=++n n n n n n n n n f ．【解析】试题分析：（1）由题意有3)1(=f ，12233)1()2(=⨯++=f f ，27433)2()3(=⨯++=f f ，48633)3()4(=⨯++=f f ，75833)4()5(=⨯++=f f ． 2分（2）由题意及（1）知，36)(233)()1(++=⨯++=+n n f n n f n f ， 4分即(1)()63f n f n n +-=+，所以(2)(1)613f f -=⨯+，(3)(2)623f f -=⨯+， (4)(3)633f f -=⨯+，()(1)6(1)3f n f n n --=-+， 5分将上面)1(-n 个式子相加，得：()(1)6[123(1)]3(1)f n f n n -=+++⋅⋅⋅+-+-(11)(1)63(1)2n n n +--=⨯+-233n =- 6分又()13f =，所以2()3f n n =． 7分（3）23)(n n f =∴111)1(1)1(112112)(31122+-=+<+=++=++n n n n n n n n n f ． 9分当1n =时，11251436(1)+33f =<，原不等式成立． 10分当2n =时，3625361391415)2(3113)1(311<=+=+++f f ，原不等式成立． 11分当3n ≥时，12)(3117)3(3115)2(3113)1(311+++⋅⋅⋅++++++n n f f f f )111()5141()4131(51231133311+-+⋅⋅⋅+-+-++⨯++⨯<n n11114931n =++-+ 2512536136n =-<+，原不等式成立． 13分综上所述，对于任意*n N ∈，原不等式成立． 14分考点：归纳推理，不等式地证明，“裂项相消法”.点评：中档题，本题综合性较强，注意从图形出发，发现规律，确定“递推关系”.不等式地证明问题，往往需要先放缩，后求和，再证明.版权申明本文部分内容，包括文字、图片、以及设计等在网上搜集整理.版权为个人所有This article includes some parts, including text, pictures, and design. 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山东省聊城市某重点高中2013-2014学年高三上学期期初分班教学测试理科数学试题Word版含答案

山东省聊城市某重点高中2013-2014学年高三上学期期初分班教学测试理科数学试题考试时间：100分钟；注意事项：1．答题前填写好自己的姓名、班级、考号等信息 2．请将答案正确填写在答题卡上第I 卷（选择题）一、选择题1．已知集合{}0,2|>==x y y M x，{}2|lg(2)N x y x x ==-，则N M 为（）（A ）(1,2) (B) ),1(+∞ (C) ),2[+∞ (D) ),1[+∞2．执行如图所示的程序框图，则输出的k 的值为（）（A ）4 （B ）5 （C ）6 （D ）73．一个几何体的三视图如图所示,且其侧视图是一个等边三角形,则这个几何的体积为（）（A （B（C （D 4．在△ABC 中，∠C =90°，∠B =30°，AC=1，M 为 AB 中点，将△ACM 沿 CM 折起，使 A 、B 间的距离为 M 到面 ABC 的距离为（）（A（B （C ）1（D5F 1、F 2，P 是椭圆上的一点，，且PQ l ⊥,垂足为Q ,若四边形12PQF F 为平行四边形，则椭圆的离心率的取值范围是（）（A ）（B （C （D 6．如图，已知球O 是棱长为1的正方体ABCB-A 1B 1C 1D 1的内切球，则平面ACD 1截球O 的截面面积为（）（A ）（B （C ））7．已知服从正态分布N （μ,2σ）的随机变量在区间（σμ-,σμ+），（σμ2-,σμ2+），和（σμ3-,σμ3+）内取值的概率分别为68.3%，95.4%，和99.7%.某校为高一年级1000名新生每人定制一套校服，经统计，学生的身高（单位：cm ）服从正态分布（165，52），则适合身高在155~175cm 范围内的校服大约要定制（） A. 683套 B. 954套 C. 972套 D. 997套 8的二项展开式中，42y x 项的系数是（）A. 45B. 90C. 135D. 270 9．投掷一枚骰子，若事件A={点数小于5}，事件B={点数大于2}，则P （B|A ）= （）E （X ）=6.9，则a 的值为 ( )A. 5B. 6C. 7D. 811 ）12．函数()f x 是定义在R 上的偶函数，且对任意的x R ∈，都有(2)()f x f x +=.当01x ≤≤时，2()f x x =.若直线y x a =+与函数()y f x =的图象有两个不同的公共点，则实数a 的值为（） A. n ()n ∈ZB. 2n ()n ∈ZC. 2n 或 ()n ∈ZD. n 或第II 卷（非选择题）二、填空题13．设集合R A ⊆，如果R x ∈0满足：对任意0>a ，都存在A x ∈,使得a x x <-<||00，那么称0x 为集合A 的一个聚点，则在下列集合中：（1）-+z z ；（2）-+R R ;(3)，以0为聚点的集合有（写出所有你认为正确的结论的序号）． 14（i 是虚数单位），则z 的模15．电脑系统中有个“扫雷”游戏，要求游戏者标出所有的雷，游戏规则是:一个方块下面有一个雷或没有雷，如果无雷，掀开方块下面就会标有数字（如果数字是0，常省略不标），此数字表明它周围的方块中雷的个数（至多八个），如图甲中的“3”表示它的周围八个方块中有且仅有3个雷.图乙是张三玩的游戏中的局部，根据图乙中信息，上方第一行左起七个方块中（方块上标有字母），能够确定下面一定没有雷的方块有，下面一定有雷的方块有 .（请填入所有选定方块上的字母）图甲图乙16．设20lg ()3ax f x x t dt ⎧⎪=⎨+⎪⎩⎰ 00x x >≤，若((1))1f f =，则三、解答题17．在△ABC 中，,,a b c 分别为三个内角,,A B C 的对边，锐角B 满足（Ⅰ）（Ⅱ），当ac 取最大值时，求18．如图，在三棱锥P －ABC 中，PA ＝PB ＝AB ＝2，BC ＝3，∠ABC＝90°，平面PAB⊥平面ABC ，D 、E 分别为AB 、AC 中点．（Ⅰ）求证：DE∥平面PBC ；（Ⅱ）求证：AB⊥PE；（Ⅲ）求二面角A －PB －E 的大小． 19和点)0 , 1(P ，过点P 作曲线)(x f y =的两条切线PM 、PN ，切点分别为，试求函数)(t g 的表达式；（Ⅱ）是否存在t ，使得M 、N 与)1 , 0(A 三点共线．若存在，求出t 的值；若不存在，请说明理由．（Ⅲ）在（Ⅰ）的条件下，若对任意的正整数n ，在区间内总存在1+m 个实数m a a a ,,,21 ，1+m a ，使得不等式)()()()(121+<+++m m a g a g a g a g 成立，求m 的最大值．20．已知圆1C 的参数方程为=cos =sin x y ϕϕ⎧⎨⎩（ϕ为参数），以坐标原点O 为极点，x 轴的正半轴为极轴建立极坐标系，圆2C 的极坐标方程为（Ⅰ）将圆1C 的参数方程化为普通方程，将圆2C 的极坐标方程化为直角坐标方程；（Ⅱ）圆1C 、2C 是否相交，若相交，请求出公共弦的长；若不相交，请说明理由． 21．在对某校高一学生体育选修项目的一次调查中，共调查了160人，其中女生85人，男生75人.女生中有60人选修排球，其余的人选修篮球；男生中有20人选修排球，其余的人选修篮球.（每人必须选一项，且只能选一项）根据以上数据建立一个2×2的列联表；能否在犯错误的概率不超过0.001的前提下认为性别与体育选修项目有关？，其中d c b a n +++=.PA BCED22．下面四个图案，都是由小正三角形构成，设第n 个图形中所有小正三角形边上黑点的总数为)(n f .图1 图2 图3 图4 （1）求出)2(f ,)3(f ,)4(f ,)5(f ;（2）找出)(n f 与)1(+n f 的关系，并求出)(n f 的表达式；（3）求证：(*N n ∈).参考答案1．A 【解析】试题分析：因为，{}}1|{0,2|>=>==y y x y y M x ，{}222|lg(2){x|20}{|20}{|02}N x y x x x x x x x x x ==-=->=-<=<<，所以，N M =(1,2)，选A 。

山东省聊城市某重点高中2013-2014学年高二上学期期初分班教学测试语文试题含答案

山东省聊城市某重点高中2013-2014学年高二上学期期初分班教学测试语文试题考试时间：120分钟；注意事项：1．答题前填写好自己的姓名、班级、考号等信息2．请将答案正确填写在答题卡上第I卷（选择题)一、选择题1．下列词语中，没有错别字的一组是A．迤逦蟊贼披肝沥胆削足适履B．辐射落寞心无旁骛攻城掠地C．冠冕膨胀殒身不恤锐不可挡D．颓圮惦量指手划脚甘拜下风2．下列各句中，没有语病的一句是A．据报道，从4月30日至5月15日期间，全国共发生道路交通事故68422起,涉及人员伤亡的道路交通事故2164起，造成794人死亡、2473人受伤。

B．今年4月,英德市政府原副市长、公安局原局长郑北泉被网友实名举报，称其与一涉毒团伙联系密切.该网友自称是郑北泉的下属英德市公安局副局长谢龙生。

C．现代诗的主流是自由体新诗。

自由体新诗是“五四”新文化运动的产物，它打破了旧体诗的格律束缚，主要以反映新生活,表现新思想等内容为主。

D．梁博说，参赛最大的收获是拜那英为师.他从那英身上学到了如何把音乐的情感把握得更沉静、平淡，如何在唱摇滚时把安静的地方表现得更丰富、细腻.3．下列词语中划线的字，每对读音都不相同的一组是（3分）A.砧板／粘贴湖畔／绊脚石包庇／刚愎自用B。

恫吓／胴体舟楫／通缉犯根茎／战战兢兢C。

磋商／蹉跎谛听／并蒂莲俨然／奄奄一息D。

朝觐／劲旅市侩／刽子手揣度／惴惴不安4．下列各句中，加点的成语使用不恰当的一项是( ) (3分）A、3月28日晚，全球80多个国家和地区三千个城市共同熄灯一小时.这一活动对减少能源消耗虽只是杯水车薪,但表达了人们对全球变暖问题的关注。

B、当看到小岗村村民按下的一个个红手印时,大家深深地感到，村民们怀念的沈浩不仅是一位村官,更是一位和他们休戚与共的亲人.C、晚会上，铿锵的鼓点扣人心弦，优美的唱腔感人肺腑，精彩的表演令人陶醉,全场观众掌声、喝彩声此起彼伏.D、经济学家认为,在当前经济回暖的情况下，假如过早地退出庞大的经济刺激计划,可能会让已经取得的成果化为泡影，进而恶化就业形势。

2013届山东省聊城三中高三上学期期中检测数学(理)试卷

说明：本试卷分第I 卷（选择题）和第II 卷（非选择题）共两卷。

其中第I 卷共60分，第II 卷共90分，两卷合计150分。

答题时间为120分钟。

第I 卷（选择题共60分）一、选择题目：（本大题共12小题，每小题5分，共60分，在每小题给出的四个选项中，只有一项是符合题目要求的）1．设集合{}{}B A x x B x x x A ⋂>=>-<=则或,0log |,11|2=（）A.{}1|>x xB.{}0|>x xC.{}1|-<x xD.{}11|>-<x x x 或2．22(12)(2)11i i i i+---+等于（） A.34i - B.34i -+ C.34i+ D.34i --３．设函数()ln 3f x x x =+-的零点为m ，则m 所在的区间是 ( ) A. (1，2) B. (2，3) C. (3，4) D. (4，5)４．若向量(3,6),(4,2),(12,6)u v w =-==--，则下列结论中错误的是（） A.u v ⊥ B.//v wC.3w u v =-D.对任一向量AB ，存在实数,a b 使AB au bv =+６. 已知命题p ：存在(,0),23x xx ∈-∞<；命题q ：ABC ∆中，若sin sin A B >，则A B >，则下列命题中为真命题的是（） A ．p 且q B ．p 或（q ⌝） C ．（p ⌝）且qD ．p 且（q ⌝）７．已知 15152211-sin cos -==⎰N dx x M ，,则 ( )A. M N <B. M N >C. M N =D. 以上都有可能８. 把函数sin()(0,)2y x πωϕωϕ=+><的图象向左平移3π个单位，所得的曲线的一部分如下图所示，则ωϕ、的值分别是（）A ．13π， B ．31π—， C ．23π， D ．32π—，9. 实数y x ,满足条件2,4,20,x x y x y c ≥⎧⎪+≤⎨⎪-++≥⎩目标函数3z x y =+的最小值为5，则该目标函数y x z +=3的最大值为( )A. 10B. 12C. 14D. 1510. 在等差数列{}n a 中12011a =-，其前n 项和为n s,若20122011120122011s s -=,则2013s =（） A. —2012 B. —2013 C. 2012 D. 201311. 已知)2()(),1()1(+-=-=+x f x f x f x f ，方程0)(=x f 在［0，1］内有且只有一个根21=x ，则0)(=x f 在区间[]2013,0内根的个数为（） A.2011 B.1006 C.2013 D.100712．设()f x 和()g x 是定义在同一区间[,]a b 上的两个函数，若对任意的[,]x a b ∈，都有|()()|1f x g x -≤，则称()f x 和()g x 在[,]a b 上是“密切函数”，[,]a b 称为“密切区间”，设2()34f x x x =-+与()23g x x =-在[,]a b 上是“密切函数”，则它的“密切区间”可以是（）.A [1,4] .B [2,4] .C [3,4] .D [2,3]第II 卷（非选择题共90分）注意事项：1、用黑色中性笔答在答卷上，考试结束后将答题卡和答卷一并交上。

山东省聊城市某重点高中2014届高三上学期期初分班教学测试英语试题含答案

山东省聊城市某重点高中2013-2014学年高三上学期期初分班教学测试英语试题考试时间：100分钟；注意事项：1．答题前填写好自己的姓名、班级、考号等信息2．请将答案正确填写在答题卡上第I卷（选择题）一、单项选择1．Class 3 declared themselves ____a responsible classmate as monitor of the class.A. in favour ofB. in honour ofC. on account ofD. on behalf of 2．-- With fast economic development, more and more people can afford a vacation abroad.--- ________. I intend to go to Europe next year.A. That sounds fineB. That goes without sayingC. That all dependsD. No one knows for sure3．I have taken jogging for about an hour every morning as my daily routine _______the weather.A. whateverB. howeverC. whicheverD. whenever4．If I had followed her advice and worn _______ warm clothing, I wouldn’t have caught such _______ bad cold.A. a; /B. a; aC. /; aD. /; /5．The two naughty boys were quiet when eating, and they were accustomed to ______ at meals.A. talkB. talkingC. not to talkD. not talking6．How long do you think it will be _______ scientists succeed in providing a cure for cancer?A. whenB. afterC. sinceD. before7．Don’t you know that Australia was, as a matter of fact, _________ used to be a nation of prisoners!A. whereB. whatC. whichD. that8．--My daughter nearly set the kitchen on fire when cooking some dishes.--You can’t stress _______ the importance of using the fire.A. too muchB. more thanC. very wellD. other than9．I agree to his suggestion __________ condition that he drops all charges. A. by B. in C. on D. to10．After studying in a medical college for five years, John _______ her job as a doctor in the countryside.A. set outB. took upC. set upD. set off11．--Do you enjoy your present job?--____________. I just do it for a living.A. Of courseB. Not reallyC. Not likelyD. Not a little12．It was from only a few supplies that she had bought in the village ______thehostess cooked such a nice dinnerA. whereB. thatC. whenD. which.13．There were many more people who got injured in the big fire than _______.A. was reportedB. it was reportedC. were reportedD. they were reported14．I was so excited last night that it was a long time _____I got to sleep.A. thatB. sinceC. beforeD. when15．— Let's have a game of tennis; the loser has to treat the other to a hotdog.— .A. I'm afraid soB. It's a dealC. You've got a pointD. My treat16．---What about ____ passage?---It's too difficult ____ passage for me．A．a, a B．a, the C．the, a D．the, the17．Everyone would like to see the plan carried out the manager thought of _____the present situation．A．solving B．being solved C．to solve D．to be solved18．The suggestion they all objected to________to be effective finally.A．proving B．prove C．had proved D．proved19．—Oh, I failed in the exam.—_______.You still have chance.A. Take your timeB. Don’t lose heartC. Don’t lose your heartD. No pains, no gains20．--- Did Peter come back early last night?--- Yes. It was not yet eight o’clock _________ he arrived home.A. whenB. thatC. untilD. before二、完型填空I graduated from a small public school in Michigan. One day，Mr. Ledy，our footballcoach，asked me to play football. I couldn’t help 21 ：me，play football?I was six feet tall and was not much __22__ a hundred pounds in weight. I thoughtthat they might just need 23 fool to increase the number of the players. However，he was persistent(坚持的) and __24__I joined the football team. That 25 to be one of my best decisions as a kid.Our worst game __26__ was the one against Crystal Falls. They beat us 56 to6. Yeah! That was a football not a basketball _27__. We played them again whenwe were seniors. They __28__ us again but the score was much more _29_，30 to20.Coach Ledy would not let that __30__ again. He encouraged us to beat them，to pay them back. And we did so in the last game we played before __31__. I hadscored 6 points alone in the game. Coach Ledy praised me. It was a huge _32 forme.Was I a football hero? Ha! Ha! No，I couldn’t __33__ it without our team. The thing I learned through football was __34__. We won as a team and we __35__ as a team.I think Mr. Ledy would be __36__ of me if he knew that I had broken the athletic __37__ at the University of Michigan. I’m __38__to him as I would not have today’s honor without him.I’ll __39__life’s final war w ith pain to win the victory；I’ll seek the lights of glory wholeheartedly and I’ll __40__ working hard so as not to let him down.21．A. shouting B. screaming C. laughing D. applauding22．A. up B. over C. more D. out23．A. another B. other C. some D. any24．A. immediately B. secretly C. personally D. finally25．A. took out B. turned out C. gave off D. gave out26．A. never B. once C. ever D. again27．A. game B. team C. story D. score28．A. won B. met C. beat D. fought29．A. accessible B. comfortableC. sensitive D. acceptable30．A. happen B. succeed C. spread D. develop31．A. liberation B. closing C. graduation D. school32．A. honor B. hope C. success D. surprise33．A. take B. manage C. solve D. explain34．A. courage B. devotion C. teamwork D. contribution35．A. united B. appeared C. prepared D. lost36．A. proud B. fond C. full D. kind37．A. time B. record C. date D. ability38．A. pleased B. grateful C. hopeful D. loyal39．A. fight B. join C. desire D. enjoy40．A. take on B. put on C. rely on D. keep on三、阅读理解Bad behavior is something that most people don’t want to tolerate. However, we have had to tolerate it more and more with each passing year. There seems to be no concern for other people’s feelings; nor do we seem to care about other people’s property. We live in an age where saying what is on our minds has priority over any harm that it might do.There are ways to deal with bad behavior in modern times, though. Too many of us let bad behavior go because we don’t want to rock the boat. This is the time that you should rock the boat and rock it hard. Let people know that you expect it to change. That is the key to dealing with bad behavior. If it continues, take the proper action for the situation you are in. If you have developed the habit of bad behavior, take a hard look at it and then change it. You can’t expect others to behave well if you aren’t wil ling to look at your own bad behavior and change it.If you don’t have control over anything in a situation, just walk away fromit and move on to something that you do have control over. You needn’t feel ashamed of that. Besides, you must stand firm in wh at you believe. You can’t control what other people do, but you can control what you do about it. Y ou can’t go wrong if you stand firm in what you believe. Understanding your responsibility is also important. Don’t try to take on the responsibility for other people’s behavior. Take care of what you have to and do it in the way you know it should be done. The rest will take care of itself.Bad behavior is on the rise with more and more people behaving badly without having to pay any consequences. Worry about how you behave rather than how others behave. Pretty soon, it just may catch on.41．It can be inferred from Paragraph 1 that _____________.A. bad behavior is common todayB. bad behavior is sure to hurt people deeplyC. people behave badly because of carelessnessD. people are more understanding than before42．When dealing with people’s bad behavior, you are advised to ____________.A. fight it bravely whenever it happensB. ignore it if it is beyond your controlC. let it go to avoid troubleD. make people feel ashamed of their bad behavior43．Why do many people behave badly according to the passage?A. Because bad behavior is often ignored.B. Because people are often influenced by others.C. Because people aren’t punished for their bad behavior.D. Because people haven’t realized its consequences.44．The public notice is from _________.A. the communityB. the local governmentC. the citizensD. a travel agency45．The notice is mainly about _________.A. the work carried out by the people of Silver CityB. the facilities available in Silver CityC. some improvements in Silver CityD. information for interested tourists46．All the following are true EXCEPT that ___________.A. both residents and tourists can enjoy more security nowB. Station Street Hospital had out-dated facilities before 2004C. primary students had to pay for their textbooks in 2003D. Dover Hospital is still short of trained medical staff47．Which of the following changes would tourists to Silver City be most happy with?A. Travel books are provided in the new library.B. Traveling by train is more convenient in Silver City.C. Free medical treatment is available at Station Street Hospital.D. There are more police officers on duty now.A photographer takes a picture of the Chinese bronze rat head and rabbit head sculptures display on the preview of the auction（拍卖） of Yves Saint Laurent and Pierre Berge’s art collection at the Grand Palais in Paris, France, Feb, 21, 2009. Chinese lawyers have asked the French court to stop auction house Christie’s putting two bronze relics（文物）looted (掠夺)from Chinaunder the hammer, lawyers said Friday.A Paris court on Monday ruled against stopping the sale of twolooted Chinese bronze sculptures which come up for auction atChristie’s on Wednesday. Under the ruling of the Tribunal de GrandeInstance in Paris, the plaintiff（起诉人）, the Association for theProtection of Chinese Art in Europe（APCAE）,was ordered topay compensation（赔偿）to the defendant.Ren Xiaohong, a lawyer for APCAE, told Xinhua that it was “of great significance” to file the lawsuit. “We hope to arouse public attention in Europe on the fate of numerous Chinese works stolen in the past, to help keep those relics well protected and collected,” Ren said.The Qing Dynasty（1644—1911）relics, the heads of a bronze rabbit and a rat, were among an original set of 12 bronze animal heads that were once decorated at the imperial summer resort Yuanmingyuan. They were looted when the palace was burnt down by Anglo-French allied forces during the Second Opium War in 1860.The pair became part of a collection of the late fashion designer Yves Saint Laurent. They have been put up for auction by his partner, Pierre Berge. The two items are expected to fetch between 16 million and 20 million euros.So far, five of the 12 bronze animal heads have been returned to China, while the whereabouts of five others are unknown.48．The two bronze animal heads were displayed at the Grand Palais in Paris so that .A．they could be collected and well preservedB．the photographers could take picturesC．the public could see them in advanceD．they couldn’t be sold at auction49．The significance to stop the sale of two bronze animal heads is to . A．fetch between 16 million and 20 million eurosB．draw public attention to the Chinese works stolen in the pastC．make the world know more about history of the Qing DynastyD．find the other five bronze animal heads and return them to China 50．Which of the following is NOT true?A．The 12 bronze animal heads have been put up for auction.B．The 2 bronze animal heads haven’t been returned to China.C．The 12 bronze animal heads were used as imperial decoration. D．Yuanmingyuan was once burnt down by Anglo-French allied forces.51．The passage is most probably taken from .A．a newspaper B．an advertisementC．a history textbook D．an introduction of auctionHaving one of those days –or weeks –when everything seems to annoy you? Even if you do nothing about it, your bad mood will probably go away after some time. But with a little effort, you can forget it much faster – often within a day or two.◇Walk it offExercise is the most popular bad-mood buster. A person who’s in a bad mood has low energy and high tension. Taking a fast ten-minute walk, or doing some quick exercises can do wonders towards changing that bad mood.◇Tune it outListening to your favorite music for a while can also make tension go away quickly, because music starts associations with past positive experiences we’ve had.◇Give yourself a pep talkStop and listen to what’s on your mind. Bad moods are often started by too many negative thoughts. Write them all down on paper, the pessimistic messages you’ve been giving yourself and then give optimistic answers. ( “I still don’t have a job.” Vs “I ha ve two interviews next week.”)◇Reduce your stressRelaxation techniques are wonderful mood-lifters. These include deep breathing, stretching and visualizing, all of which sound complicated but aren’t. One easy way to visualize: close your eyes and picture a favorite place, such as the beach. Another simple way to be against distress is to make a to-do list. One reason for being in a bad mood is feeling you have no options. By taking control over certain areas, you realize you’re not helpless. You can make changes in your mood and life.◇Avoid things that won’t improve your mood.TV may not help much: You need to increase your energy level and stimulate （刺激） your mind – something that the TV show “Neighbors” won’t do. And before you reach for that piece of cake and coffee, think about how mood and food are linked. Sugar and caffeine contribute to depressed moods. A better choice? Research shows that carbohydrates, such as potatoes and pasta（面食）,produce a calming effect in people who have a desire for them. 52．Which of the following may help us stop a bad mood?A．Doing nothing about it. B．Exercising and enjoying music. C．Writing down negative thoughts. D．Talking about it with neighbors. 53．Why is it suggested that you close your eyes and picture the beach?A．It helps remove bad mood. B．It brings us a new technique.C．It is not complicated to do so. D．It is an area to be easily controlled. 54．TV may not improve your mood because it .A．shows what happens around you B．does not energize youC．reminds you of eating and drinking D．produces a calming effect 55．Which would be the best title for this passage?A．Energy Level and Stress B．How to Beat a Bad MoodC．Bad Mood and Our Life D．How to Control Your Feeling.Since we are social beings, the quality of our lives depends in large measure on our interpersonal relationships．One strength of the human condition is our tendency to give and receive support from one another under stressful circumstances．Social support consists of the exchange of resources among people based on their interpersonal ties．Those of us with strong support systems appear better able to deal with major life changes and daily difficulties．People with strong social ties live longer and have better health than those without such ties．Studies over a range of illnesses, from depression to heart disease, show that the presence of social support helps people protect themselves from illness, and the absence of such support makes poor health more likely．Social support cushions stress in a number of ways．First, friends, relatives and coworkers may let us know that they value us．Our self respect is strengthened when we feel accepted by others despite our faults and difficulties．Second, other people often provide us with informational support．They help us to explain and understand our problems and find solutions to them．Third, we typically findsocial companionship supportive．Engaging in leisure time activities with others helps us to meet our social needs while at the same time distract（转移…注意力）us from our worries and troubles．Finally, other people may give us important support—financial aid, material resources, and needed services—that reduces stress by helping us solve and deal with our problems．56．Research shows that people’s physical and mental health has much to do with .A．the social medical systemB．the amount of support they get from othersC．their strength for dealing with interpersonal tiesD．their ability to deal with daily worries and troubles57．The underlined word “cushions” probably means “”A．adds up to B．decreases the effect ofC．gets rid of D．lays the foundation for58．Social companionship is beneficial in that itA．helps strengthen our ties with relativesB．enables us to get rid of our faults and mistakesC．makes our leisure time activities more enjoyableD．draws our attention away from our worries and troublesIt often happens that a number of applicants with almost the same qualifications and experience all apply for the same position. In their educational background, special skills and work experience, there is little, if anything, to choose between half a dozen candidates. How then does the employer make a choice? Usually on the basis of an interview.There are many arguments for and against the interview as a way of selection. The main argument against it is that it results in a wholly subjective decision. As often as not, employers do not choose the best candidate. They choose the candidate who makes a good first impression on them. Some employers, of course, reply to this argument by saying that they have become so experienced in interviewing staff that they are able to make a good assessment of each candidate’s likely performance. The main argument in favor of the interview is that an employer is concerned not only with a candidate’s ability, but with his or her suitable personality for the particular work situation. Many employers, for example, will overlook occasional mistakes from their secretary if she has a pleasant personality.It is perhaps true to say, therefore, that the real purpose of an interview is not to assess the assessable aspects of each candidate but to make a guess at the things that are hard to measure, such as personality, character and social ability. Unfortunately, both for the employers and applicants for jobs, there are many people of great ability who simply do not interview well. There are also, of course, people who interview extremely well, but are later found to be very unsatisfactory employees. Candidates who interview well tend to be quietly confident, but never boastful（自夸的）, direct and straightforward in their questions and answers; cheerful and friendly, but never over-familiar; and sincerely enthusiastic and optimistic. Candidates who interview badly tend to be either very shy or over-confident. They either talk too little or never stop talking. They are either over polite or a bit rude.59．People argue over the interview mainly because they have . A．different purposes in the interviewB．different experiences in interviewsC．different standards of selectionD．different ways of selection60．The underlined word “subjective”means “based on one’s rather than facts”．A．personality B．character C．opinion D．ability61．The purpose of the last paragraph is to indicateA．a link between success in interview and personalityB．connections between work abilities and personalityC．differences in interview experienceD．differences in personal behavior62．What is the author’s attitude towards the interview?A．He thinks it is a good way of selectionB．He doesn’t quite agree with itC．He is neither for nor against itD．It is not clear第II卷（非选择题）四、短文改错63．短文改错（共10小题；每小题1分，满分10分）假定英语课上老师要求同桌之间交换修改作文，请你修改你同桌的以下作文。

聊城市某重点高中高三英语上学期期初分班教学测试试题外研社版

山东省聊城市某重点高中2013-2014学年高三上学期期初分班教学测试英语试题考试时间：100分钟；注意事项：1．答题前填写好自己的姓名、班级、考号等信息2．请将答案正确填写在答题卡上第I卷（选择题）一、单项选择1．Class 3 declared themselves ____a responsible classmate as monitor of the class.A. in favour ofB. in honour ofC. on account ofD. on behalf of 2．-- With fast economic development, more and more people can afford a vacation abroad.--- ________. I intend to go to Europe next year.A. That sounds fineB. That goes without sayingC. That all dependsD. No one knows for sure3．I have taken jogging for about an hour every morning as my daily routine _______the weather.A. whateverB. howeverC. whicheverD. whenever4．If I had followed her advice and worn _______ warm clothing, I wouldn’t have caught such _______ bad cold.A. a; /B. a; aC. /; aD. /; /5．The two naughty boys were quiet when eating, and they were accustomed to ______at meals.A. talkB. talkingC. not to talkD. not talking6．How long do you think it will be _______ scientists succeed in providing acure for cancer?A. whenB. afterC. sinceD. before7．Don’t you know that Australia was, as a matter of fact, _________ used tobe a nation of prisoners!A. whereB. whatC. whichD. that8．--My daughter nearly set the kitchen on fire when cooking some dishes.--You can’t stress _______ the importance of using the fire.A. too muchB. more thanC. very wellD. other than9．I agree to his suggestion __________ condition that he drops all charges.A. byB. inC. onD. to10．After studying in a medical college for five years, John _______ her jobas a doctor in the countryside.A. set outB. took upC. set upD. set off11．--Do you enjoy your present job?--____________. I just do it for a living.A. Of courseB. Not reallyC. Not likelyD. Not a little12．It was from only a few supplies that she had bought in the village ______thehostess cooked such a nice dinnerA. whereB. thatC. whenD. which.13．There were many more people who got injured in the big fire than _______.A. was reportedB. it was reportedC. were reportedD. they were reported14．I was so excited last night that it was a long time _____I got to sleep.A. thatB. sinceC. beforeD. when15．— Let's have a game of tennis; the loser has to treat the other to a hotdog.— .A. I'm afraid soB. It's a dealC. You've got a pointD. My treat16．---What about ____ passage?---It's too difficult ____ passage for me．A．a, a B．a, the C．the, a D．the, the17．Everyone would like to see the plan carried out the manager thought of _____the present situation．A．solving B．being solved C．to solve D．to be solved18．The suggestion they all objected to________to be effective finally.A．proving B．prove C．had proved D．proved19．—Oh, I failed in the exam.—_______.You still have chance.A. Take your timeB. Don’t lose heartC. Do n’t lose your heartD. No pains, no gains20．--- Did Peter come back early last night?--- Yes. It was not yet eight o’clock _________ he arrived home.A. whenB. thatC. untilD. before二、完型填空I graduated from a small public school in Michigan. One day，Mr. Ledy，our footballcoach，asked me to play football. I couldn’t help 36 ：me，play football?I was six feet tall and was not much __37__ a hundred pounds in weight. I thoughtthat they might just need 38 fool to increase the number of the players. However，he was persistent(坚持的) and __39__I joined the football team. That 40 to be one of my best decisions as a kid.Our worst game __41__ was the one against Crystal Falls. They beat us 56 to6. Yeah! That was a football not a basketball _42__. We played them again whenwe were seniors. They __43__ us again but the score was much more _44_，30 to20.Coach Ledy would not let that __45__ again. He encouraged us to beat them，to pay them back. And we did so in the last game we played before __46__. I hadscored 6 points alone in the game. Coach Ledy praised me. It was a huge _47 forme.Was I a football hero? Ha! Ha! No，I couldn’t __48__ it without our team. The thing I learned through football was __49__. We won as a team and we __50__ as a team.I think Mr. Ledy would be __51__ of me if he knew that I had broken the athletic __52__ at the University of Michigan. I’m __53__to him as I would not have today’s honor without him.I’ll __54__life’s final war with pain to win the victory；I’ll seek the lights of glory wholeheartedly and I’ll __55__ working hard so as not to let him down.21．A. shouting B. screaming C. laughing D. applauding22．A. up B. over C. more D. out23．A. another B. other C. some D. any24．A. immediately B. secretly C. personally D. finally25．A. took out B. turned out C. gave off D. gave out26．A. never B. once C. ever D. again27．A. game B. team C. story D. score28．A. won B. met C. beat D. fought29．A. accessible B. comfortableC. sensitive D. acceptable30．A. happen B. succeed C. spread D. develop31．A. liberation B. closing C. graduation D. school32．A. honor B. hope C. success D. surprise33．A. take B. manage C. solve D. explain34．A. courage B. devotion C. teamwork D. contribution35．A. united B. appeared C. prepared D. lost36．A. proud B. fond C. full D. kind37．A. time B. record C. date D. ability38．A. pleased B. grateful C. hopeful D. loyal39．A. fight B. join C. desire D. enjoy40．A. take on B. put on C. rely on D. keep on三、阅读理解Bad behavior is something that most people don’t want to tolerate. However, we have had to tolerate it more and more with each passing year. There seems to be no concern for other people’s feelings; nor do we seem to care about other people’s property. We live in an age where saying what is on our minds has priority over any harm that it might do.There are ways to deal with bad behavior in modern times, though. Too many of us let bad behavior go because we don’t want to rock the boat. This is the time that you should rock the boat and rock it hard. Let people know that you expect it to change. That is the key to dealing with bad behavior. If it continues, take the proper action for the situation you are in. If you have developed the habit of bad behavior, take a hard look at it and then change it. You can’t expect others to behave well if you aren’t wi lling to look at your own bad behavior and change it.If you don’t have control over anything in a situation, just walk away fromit and move on to something that you do have control over. You needn’t feel ashamed of that. Besides, you must stand firm in w hat you believe. You can’t control what other people do, but you can control what you do about it. Y ou can’t go wrong if you stand firm in what you believe. Understanding your responsibility is also important. Don’t try to take on the responsibility for other people’s behavior. Take care of what you have to and do it in the way you know it should be done. The rest will take care of itself.Bad behavior is on the rise with more and more people behaving badly without having to pay any consequences. Worry about how you behave rather than how others behave. Pretty soon, it just may catch on.41．It can be inferred from Paragraph 1 that _____________.A. bad behavior is common todayB. bad behavior is sure to hurt people deeplyC. people behave badly because of carelessnessD. people are more understanding than before42．When dealing with people’s bad behavior, you are advised to ____________.A. fight it bravely whenever it happensB. ignore it if it is beyond your controlC. let it go to avoid troubleD. make people feel ashamed of their bad behavior43．Why do many people behave badly according to the passage?A. Because bad behavior is often ignored.B. Because people are often influenced by others.C. Because people aren’t punished for their bad behavior.D. Because people haven’t realized its consequences.44．The public notice is from _________.A. the communityB. the local governmentC. the citizensD. a travel agency45．The notice is mainly about _________.A. the work carried out by the people of Silver CityB. the facilities available in Silver CityC. some improvements in Silver CityD. information for interested tourists46．All the following are true EXCEPT that ___________.A. both residents and tourists can enjoy more security nowB. Station Street Hospital had out-dated facilities before 2004C. primary students had to pay for their textbooks in 2003D. Dover Hospital is still short of trained medical staff47．Which of the following changes would tourists to Silver City be most happy with?A. Travel books are provided in the new library.B. Traveling by train is more convenient in Silver City.C. Free medical treatment is available at Station Street Hospital.D. There are more police officers on duty now.A photographer takes a picture of the Chinese bronze rat head and rabbit head sculptures display on the preview of the auction（拍卖） of Yves Saint Laurent and Pierre Berge’s art collection at the Grand Palais in Paris, France, Feb, 21, 2009. Chinese lawyers have asked the French court to stop auction house Christie’s putting two bronze relics（文物）looted (掠夺)from Chinaunder the hammer, lawyers said Friday.A Paris court on Monday ruled against stopping the sale of twolooted Chinese bronze sculptures which come up for auction atChristie’s on Wednesday. Under the ruling of the Tribunal de Grande Instance in Paris, the plaintiff（起诉人）, the Association for the Protection of Chinese Art in Europe（APCAE）,was ordered topay compensation（赔偿）to the defendant.Ren Xiaohong, a lawyer for APCAE, told Xinhua that it was “of great significance” to file the lawsuit. “We hope to arouse public attention in Europe on the fate of numerous Chinese works stolen in the past, to help keep those relics well protected and collected,” Ren said.The Qing Dynasty（1644—1911）relics, the heads of a bronze rabbit and a rat, were among an original set of 12 bronze animal heads that were once decorated at the imperial summer resort Yuanmingyuan. They were looted when the palace was burnt down by Anglo-French allied forces during the Second Opium War in 1860.The pair became part of a collection of the late fashion designer Yves Saint Laurent. They have been put up for auction by his partner, Pierre Berge. The two items are expected to fetch between 16 million and 20 million euros.So far, five of the 12 bronze animal heads have been returned to China, while the whereabouts of five others are unknown.48．The two bronze animal heads were displayed at the Grand Palais in Paris so that .A．they could be collected and well preservedB．the photographers could take picturesC．the public could see them in advanceD．they couldn’t be sold at auction49．The significance to stop the sale of two bronze animal heads is to . A．fetch between 16 million and 20 million eurosB．draw public attention to the Chinese works stolen in the pastC．make the world know more about history of the Qing DynastyD．find the other five bronze animal heads and return them to China 50．Which of the following is NOT true?A．The 12 bronze animal heads have been put up for auction.B．The 2 bronze animal heads haven’t been returned to China.C．The 12 bronze animal heads were used as imperial decoration. D．Yuanmingyuan was once burnt down by Anglo-French allied forces.51．The passage is most probably taken from .A．a newspaper B．an advertisementC．a history textbook D．an introduction of auctionHaving one of those days –or weeks –when everything seems to annoy you? Even if you do nothing about it, your bad mood will probably go away after some time. But with a little effort, you can forget it much faster – often within a day or two.◇Walk it offExercise is the most popular bad-mood buster. A person who’s in a bad mood has low energy and high tension. Taking a fast ten-minute walk, or doing some quick exercises can do wonders towards changing that bad mood.◇Tune it outListening to your favorite music for a while can also make tension go away quickly, because music starts associations with past positive experiences we’ve had.◇Give yourself a pep talkStop and listen to what’s on your mind. Bad moods are often started by too many negative thoughts. Write them all down on paper, the pessimistic messages you’ve been giving yourself and then give optimistic answers. ( “I still don’t have a job.” Vs “I ha ve two interviews next week.”)◇Reduce your stressRelaxation techniques are wonderful mood-lifters. These include deep breathing, stretching and visualizing, all of which sound complicated but aren’t. One easy way to visualize: close your eyes and picture a favorite place, such as the beach. Another simple way to be against distress is to make a to-do list. One reason for being in a bad mood is feeling you have no options. By taking control over certain areas, you realize you’re not helpless. You can make changes in your mood and life.◇Avoid things that won’t improve your mood.TV may not help much: You need to increase your energy level and stimulate （刺激） your mind – something that the TV show “Neighbors” won’t do. And before you reach for that piece of cake and coffee, think about how mood and food are linked. Sugar and caffeine contribute to depressed moods. A better choice? Research shows that carbohydrates, such as potatoes and pasta（面食）,produce a calming effect in people who have a desire for them. 52．Which of the following may help us stop a bad mood?A．Doing nothing about it. B．Exercising and enjoying music. C．Writing down negative thoughts. D．Talking about it with neighbors. 53．Why is it suggested that you close your eyes and picture the beach?A．It helps remove bad mood. B．It brings us a new technique.C．It is not complicated to do so. D．It is an area to be easily controlled. 54．TV may not improve your mood because it .A．shows what happens around you B．does not energize youC．reminds you of eating and drinking D．produces a calming effect 55．Which would be the best title for this passage?A．Energy Level and Stress B．How to Beat a Bad MoodC．Bad Mood and Our Life D．How to Control Your Feeling.Since we are social beings, the quality of our lives depends in large measure on our interpersonal relationships．One strength of the human condition is our tendency to give and receive support from one another under stressful circumstances．Social support consists of the exchange of resources among people based on their interpersonal ties．Those of us with strong support systems appear better able to deal with major life changes and daily difficulties．People with strong social ties live longer and have better health than those without such ties．Studies over a range of illnesses, from depression to heart disease, show that the presence of social support helps people protect themselves from illness, and the absence of such support makes poor health more likely．Social support cushions stress in a number of ways．First, friends, relatives and coworkers may let us know that they value us．Our self respect is strengthened when we feel accepted by others despite our faults and difficulties．Second, other people often provide us with informational support．They help us to explain and understand our problems and find solutions to them．Third, we typically findsocial companionship supportive．Engaging in leisure time activities with others helps us to meet our social needs while at the same time distract（转移…注意力）us from our worries and troubles．Finally, other people may give us important support—financial aid, material resources, and needed services—that reduces stress by helping us solve and deal with our problems．56．Research shows that people’s physical and mental health has much to do with .A．the social medical systemB．the amount of support they get from othersC．their strength for dealing with interpersonal tiesD．their ability to deal with daily worries and troubles57．The underlined word “cushions” probably means “”A．adds up to B．decreases the effect ofC．gets rid of D．lays the foundation for58．Social companionship is beneficial in that itA．helps strengthen our ties with relativesB．enables us to get rid of our faults and mistakesC．makes our leisure time activities more enjoyableD．draws our attention away from our worries and troublesIt often happens that a number of applicants with almost the same qualifications and experience all apply for the same position. In their educational background, special skills and work experience, there is little, if anything, to choose between half a dozen candidates. How then does the employer make a choice? Usually on the basis of an interview.There are many arguments for and against the interview as a way of selection. The main argument against it is that it results in a wholly subjective decision. As often as not, employers do not choose the best candidate. They choose the candidate who makes a good first impression on them. Some employers, of course, reply to this argument by saying that they have become so experienced in interviewing staff that they are able to make a good assessment of each candidate’s likely performance. The main argument in favor of the interview is that an employer is concerned not only with a candidate’s ability, but with his or her suitable personality for the particular work situation. Many employers, for example, will overlook occasional mistakes from their secretary if she has a pleasant personality.It is perhaps true to say, therefore, that the real purpose of an interview is not to assess the assessable aspects of each candidate but to make a guess at the things that are hard to measure, such as personality, character and social ability. Unfortunately, both for the employers and applicants for jobs, there are many people of great ability who simply do not interview well. There are also, of course, people who interview extremely well, but are later found to be very unsatisfactory employees. Candidates who interview well tend to be quietly confident, but never boastful（自夸的）, direct and straightforward in their questions and answers; cheerful and friendly, but never over-familiar; and sincerely enthusiastic and optimistic. Candidates who interview badly tend to be either very shy or over-confident. They either talk too little or never stop talking. They are either over polite or a bit rude.59．People argue over the interview mainly because they have . A．different purposes in the interviewB．different experiences in interviewsC．different standards of selectionD．different ways of selection60．The underlined word “subjective”means “based on one’s rather than facts”．A．personality B．character C．opinion D．ability61．The purpose of the last paragraph is to indicateA．a link between success in interview and personalityB．connections between work abilities and personalityC．differences in interview experienceD．differences in personal behavior62．What is the author’s attitude towards the interview?A．He thinks it is a good way of selectionB．He doesn’t quite agree with itC．He is neither for nor against itD．It is not clear第II卷（非选择题）四、短文改错63．短文改错（共10小题；每小题1分，满分10分）假定英语课上老师要求同桌之间交换修改作文，请你修改你同桌的以下作文。

山东聊城某重点高中13-14学年高二上期初分班教学测试-地理(精)

山东省聊城市某重点高中2013-2014学年高二上学期期初分班教学测试地理试题100注意事项：1．答题前填写好自己的姓名、班级、考号等信息2．请将答案正确填写在答题卡上第I卷（选择题）一、选择题1．下图为我国某省区植被覆盖度（数值越大，表示植被覆盖状况越好）沿经度变化示意图。

图示植被覆盖度经度变化规律的影响因素最主要是：A.热量B.水分C.海拔D.光照下图示意某城市20世纪80年代和90 年代平均人口年变化率，当前该城市中人口约1300万。

据此完成小题。

2．20世纪90年代和80年代相比，该城市A. 总人口增长速度加快B. 总人口减少C. 人口自然增长率降低D. 人口净迁入量减少3．该城市所在的国家可能是A. 美国B. 德国C. 俄罗斯D. 尼日利亚出生人口性别比，是每出生百名女婴相对的出生男婴数，联合国明确认定了出生性别比的通常值域为102～107之间，其他值域则被视为异常。

读我国部分年份出生人口性别比数据，完成小题。

4．下列关于近些年我国人口性别比数据的说法正确的是：A.我国出生人口性别比近年持续下降B.环境污染导致性别比例异常C.近些年我国出生人口性别比异常，与胎儿性别鉴定技术非法滥用有关D.我国近些年人口性别比异常与社会文化因素无关5．我国目前的这种出生人口性别比造成的影响包括：①“剩男”现象逐渐加重②女性择偶标准降低③“老夫少妻”现象愈发明显④不会引发社会问题⑤跨国婚姻可能增多A.①②③B. ③④⑤C. ①③⑤D. ②④⑤6．下图为我国某城市功能区规划示意图，图中①—④地规划住宅区的原因正确的是A．①地方便工人上下班，房价较低B．②地环境污染小，与市区联系不方便C．③地交通便利，噪音污染和空气污染严重D．④地环境优美，为高级住宅区鲜切花又称切花，是指从活体植株上切取的，具有观赏价值，用于制作花篮、花束、花环、花圈、瓶插花、壁花，以及胸饰花等花卉装饰的茎、叶、花、果等植物材料。

鲜切花属极娇嫩、易腐烂产品。

山东省聊城三中2013届高三上学期第一次模块检测化学试题.pdf

山东省聊城三中高三上学期第一次质量检测化学试题可能用到的相对原子质量：第I卷 (选择题 0分) 一、选择题（本题包括1小题，每小题2分，共0分。

每小题只有一个选项符合题意） 1．下列叙述正确的是( ) A．同温同压下，相同体积的物质，它们的物质的量必相等 B．任何条件下，等物质的量的乙烯和一氧化碳所含的分子数必相等 C．1 L一氧化碳气体的质量一定比1 L氧气的质量小 D．等体积、等物质的量浓度的强酸中所含的H＋数目一定相等2．设NA代表阿伏加德罗常数的数值，下列说法中正确的是( ) ①常温常压下，17 g甲基(－14CH3)所含的中子数为9NA ②常温常压下，22.4 L O气体的分子数小于NA　③64 g铜发生氧化还原反应，一定失去2NA个电子　④常温常压下，100 mL 0.5 mol/L的乙酸溶液中，乙酸的分子数目小于0.05NA　⑤标准状况下，22.4 L二氯甲烷所含有的分子数为NA　⑥常温常压下，1 mol氦气含有的核外电子数为4NA A．①② B．③④ C．②④ D．⑤⑥ 3．氯化铁溶液与氢氧化铁胶体具有的共同性质是（） A．分散质颗粒直径都在l～100nm之间B．能透过半透膜 C．加热蒸干、灼烧后都有氧化铁生成D．呈红褐色．下图是某学校实验室从化学试剂商店买回的硫酸试剂标签上的部分内容。

据此下列说法正确的是（） A．该硫酸的物质的量浓度为1.84mol/L B．1mol Zn与足量的该硫酸反应产生2gH2 C．配制200mL 4.6mol/L的稀硫酸需取该硫酸50mL D．该硫酸与等质量的水混合所得溶液的物质的量浓度等于9.2mol/L ．北京2008奥运会金牌为金镶玉，直径为70mm，厚6mm。

某化学兴趣小组对金牌中金属的成分提出猜想：甲认为该金属是由纯金制成；乙认为该金属是由金银合金制成；丙认为该金属是由黄铜（铜锌合金）制成。

为了验证他们的猜想，取制造这种金牌的材质粉末少量进行实验，加入下面一种试剂来证明甲、乙、丙猜想的正误，该试剂应是（） A．硫酸铜溶液B．稀硝酸C．盐酸D．硝酸银溶液．实验是研究化学的基础，下图中所示的实验方法、装置或操作完全正确的是 A．干燥Cl2 B．吸收HCl C．制取Fe(OH)2沉淀 D．稀释浓H2SO4．下列溶液中，各组离子一定能大量共存的是（） A．在强酸性溶液中：K+、NH4+、SO42－、ClO－ B．能使石蕊呈蓝色的溶液中：Na+、I－、Cl－、NO3－ C．在pH=1的溶液中：NH4+、Mg2+、SO32－、NO3－ D．含有大量Al3+的溶液中：NH4+、Na+、Cl－、HCO3－．下列离子方程式中正确的是（） A．将SO2气体通入NaClO溶液中：SO2+2ClO－+H2O=SO32－+2HClO B．向FeBr2溶液中通入过量Cl2：2Fe2++4Br－+2Cl2=2Fe3+ + 2Br2 + 4Cl－ C．向硫酸氢钾溶液中加入Ba(OH)2溶液至中性：2H++SO42－+Ba2+ +2OH－=?BaSO4↓+2H2O D．NH4HCO3溶液与过量NaOH溶液反应：NH4++OH－=NH3↑+H2O ．下表中，对陈述Ⅰ、Ⅱ的正确性及两者间是否具有因果关系的判断都正确的是（）选项陈述Ⅰ陈述Ⅱ判断A碳酸钠溶液可用于治疗胃病Na2CO3可与盐酸反应Ⅰ对，Ⅱ对，有B向Na2O2的水溶液中滴入酚酞变红色Na2O2与水反应生成氢氧化钠Ⅰ对，Ⅱ错，无C金属钠金属钠Ⅰ对，Ⅱ对，有D过氧化钠可用于航天员的供氧剂Na2O2能和CO2和H2O反应生成O2Ⅰ对，Ⅱ对，有．下列物质的转化在给定条件下能实现的是A．②④⑤ B．②③④C．①④⑤D．①③⑤ 二、选择题（本题包括10小题，每小题分，共0分。

山东省聊城三中2013届高三上学期第一次模块检测数学(文)试题

聊城三中2013高三年级第一次质量检测数学试题（文）一．选择题：本大题共12小题，每小题4分，满分48分.在每小题给出的四个选项中，只有一项是符合题目要求的。

1. 函数()xx x f 2log 12-=的定义域为（）A.()+∞,0B.()+∞,1C.()1,0D.()()+∞,11,0U2. 命题“2,240x x x ∀∈-+≤R ”的否定为（） A.2,240x x x ∀∈-+≥R B.2,240x x x ∃∈-+>R C.2,240x x x ∀∉-+≤R D. 2,240x x x ∃∉-+>R3. 下列函数中，既是偶函数又在()+∞,0上单调递增的函数是 ( ) A.3x y =B. 1+=x yC.12+-=x yD.xy -=24. 已知:p 一元二次方程)0(0122≠=++a x ax 有一个正根和一个负根，则p 的一个充分不必要条件是（）A. 0<aB. 0>aC. 1-<aD.1<a 5. 若角α的终边上有一点),4(a P -，且2512cos sin -=⋅αα，则a 的值为（） A. 3 B.3±C.316或3D. 316或3- 6 .下图给出4个幂函数的图像，则图像与函数的大致对应是( )Ａ.112132y x yx y x y x -====①,②,③,④ Ｂ．13212y x y x y x yx -====①,②,③,④Ｃ.12312y x y x y x yx -====①,②,③,④ Ｄ．112132y x yx yx y x -====①,②,③,④7．已知,316sin =⎪⎭⎫⎝⎛-απ则⎪⎭⎫⎝⎛+απ232cos 的值是( ) A ．－79 B ．－13 C.13 D.798．如果数列{}n a的通项公式n a =）A.22(1)n a n n =++ B ． 32n n a =⨯ C.31n a n =+ D.23nn a =⨯9.设等差数列{}n a 的前n 项的和为n s ，若14611,6a a a =-+=-，则当n s 取最小值时，n 等于（）A. 6 B ．7 C. 8 D.9 10. 已知函数()R x x x x f ∈-=,cos sin 3，若(),1≥x f 则x 的取值范围为( )A ⎭⎬⎫⎩⎨⎧∈+≤≤+Z k k x k x ,3ππππ B ．⎭⎬⎫⎩⎨⎧∈+≤≤+Z k k x k x ,232ππππC ⎭⎬⎫⎩⎨⎧∈+≤≤+Z k k x k x ,656ππππ． D ．⎭⎬⎫⎩⎨⎧∈+≤≤+Z k k x k x ,65262ππππ 11.已知数列{}n a 的前n 项的和为n s ，且481,3s s =则816s s 等于（） A.18 B ．13 C. 19 D. 31012.已知函数()y f x =的周期为2,当[0,2]x ∈时,2()(1)f x x =-,如果()()g x f x =-5l o g 1x -，则函数()y g x =的所有零点之和为（）A ．2B ．4C ．6D ．8二、填空题：本大题共4小题，每小题4分，共16分.将答案填在题中横线上 13.曲线13++=x x y 在点()3,1处的切线方程是__________________.14.已知,20πα<<且233tan -=⎪⎭⎫ ⎝⎛-πα，则=α___________．15.若函数()13--=ax x x f 在R 上单调递增，实数a 的取值范围为___________.16.函数()x f 的定义域为A ，若A x x ∈21,且()()21x f x f =时总有21x x =，则称()x f 为单函数．例如，函数())(12R x x x f ∈+=是单函数．下列命题： ①函数()2x x f =（x ∈R ）是单函数；②若()x f 为单函数，A x x ∈21,且21x x ≠，则()()21x f x f ≠； ③若f ：A→B 为单函数，则对于任意B b ∈，它至多有一个原象； ④函数()x f 在某区间上具有单调性，则()x f 一定是单函数．其中的真命题是_________．（写出所有真命题的编号）三．解答题:本大题共5小题，满分56分．解答须写出文字说明、证明过程和演算步骤. 17.（本小题满分10分）在ABC ∆中，A ， B ，C 的对边分别为c b a ,,，且ca bC B +-=2c o s c o s ，求：（1）角B 的大小；（2）若13=b ，,4=+c a 求ABC ∆.18．(本小题满分10分)如图，在平面直角坐标系系xOy 中，以Ox 轴为始边作两个锐角βα,，他们的终边分别于单位圆相交于B A ,两点，已知B A ,的横坐标分别为.552,102 （1）求)tan(βα+的值；（2）求βα2+的值.19（本小题满分12分）某商店预备在一个月内购入每张价值20元的书桌共36台,每批购入x 台(x 是正整数),且每批均需付运费4元,储存购入的书桌一个月所付的保管费与每批购入书桌的总价值(不含运费)成正比,若每批购入4台,则该月共用去运费和保管费52元,现在全月只有48元资金可以用于支付运费和保管费.(1)求该月需用去的运费和保管费的总费用)(x f ;(2)能否恰当的安排每批进货的数量,使资金够用?写出你的结论,并说明理由.20.（本小题满分12分）若向量m ),sin 3,(sin x x ωω=n =())0(sin ,cos >ωωωx x ,在函数()=x f m · n +t 的图象中,对称中心到对称轴的最小距离为4π,且当⎥⎦⎤⎢⎣⎡∈3,0πx 时, )(x f 的最大值为3.(1) 求函数)(x f 的解析式; (2) 求函数)(x f 的单调递增区间.21.（本小题满分12分）已知函数(),ln x ax x f +=其中a 为常数,设e 为自然对数的底数. (1)当1-=a 时,求)(x f 的最大值;(2)若)(x f 在区间(]e ,0上的最大值为-3,求a 的值; (3)当1-=a 时,推断方程()21ln +=x x x f 是否有实数解.聊城三中高三年级质量检测数学试题（文）答案一．选择题1-5 DBBCC 6-10 BABAB 11-12 DD二.填空题13.014=--y x 14.4π15.0≤a 16.①③ 三.解答题17.解：,2cos cos c a b C B +-= ()(),222222222c a bac c b a ab b c a +-=-+-+∴ 整理得,222ac b c a -=-+,2122cos 222-=-=-+=∴ac ac ac b c a B 从而120=B（2）由余弦定理得：1322=++ac c a 又162,422=++∴=+ac c a c a 由①②得.3=ac .433120sin 321sin 21=⨯⨯==∴︒∆B ac S ABC 18.由三角函数定义得：552cos ,102cos ==βα，βα, 为锐角，21tan ,7tan ,55sin ,1027sin ==∴==∴βαβα. (1)().32171217tan tan 1tan tan tan -=⨯-+=-+=+βαβαβα (2)34211212tan 1tan 22tan 22=⎪⎭⎫⎝⎛-⨯=-=βββ, ()134713472tan tan 12tan tan 2tan -=⨯-+=-+=+∴βαβαβα. βα, 为锐角,2320πβα<+<∴,432πβα=+∴.19.解:(1)设题中比例系数为k ,若每批购入x 台,则共需分x36批,每批价值x 20元,由题意()x k x x f 20436⋅+⋅=,由4=x 时,52=y 得518016==k ()()*∈≤<+=∴N x x x xx f ,3604144(2)由(1)知()()*∈≤<+=∴N x x x x x f ,3604144()()2222236441444144xx x x x x f -=+-=+-='∴ 令()0>'x f ,即0362>-x 解得6>x 或6-<x令()0<'x f ,即0362<-x 解得66<<-x .360≤<x()x f ∴在()6,0上单调递减,在()36,6上单调递增. ∴当6=x 时,()x f 取得最小值,()()486461446min =⨯+==f x f . 故需每批购入6张书桌,可使资金够用.20.解:由题意得()=x f m ﹒n +t x x x t ++=ωωω2sin 3cos sint x t x x ++⎪⎭⎫ ⎝⎛-=++-=2332sin 232cos 232sin 21πωωω (1)∵对称中心到对称轴的最小距离为4π，()x f ∴的最小周期π=T 1,22=∴=∴ωπωπ，()t x x f ++⎪⎭⎫ ⎝⎛-=∴2332sin π 当⎥⎦⎤⎢⎣⎡∈3,0πx 时，()[],3,,23,2332sin t t x f x +∈∴⎥⎦⎤⎢⎣⎡-∈⎪⎭⎫ ⎝⎛-π(),0,33,3max =∴=+∴=t t x f ()2332sin +⎪⎭⎫ ⎝⎛-=∴πx x f . （2）()Z k k x k ∈+≤-≤-223222πππππ，解得：12512ππππ+≤≤-k x k ，所以函数()x f 的单调递增区间为()Z k k k ∈⎥⎦⎤⎢⎣⎡+-125,12ππππ. 21.解:(1)当1-=a 时,()x x x f ln +-=, ()xx x x f -=+-='111. 当10<<x 时,()0>'x f ;当1>x 时,()0<'x f .()x f ∴在()1,0上是增函数,在()+∞,1上是减函数.()()11max -==∴f x f .(2)()(],,11,,0,1⎪⎭⎫⎢⎣⎡+∞∈∈+='e x e x x a x f ①若ea 1-≥,则()0≥'x f ,从而()x 在(]e .0上是增函数, ()()01max ≥+==∴ae e f x f .不合题意.②若e a 1-<,则由(),0>'x f 得;.01>+x a 即ax 10-<<, 由()0<x f ,得:01<+x a ,即e x a≤<-1.从而()x f 在⎪⎭⎫ ⎝⎛-a 1,0上是增函数,在⎪⎭⎫⎝⎛-e a ,1上是减函数. ()⎪⎭⎫ ⎝⎛-+-=⎪⎭⎫ ⎝⎛-=∴a a f x f 1ln 11max ,令31ln 1-=⎪⎭⎫ ⎝⎛-+-a ,则21ln -=⎪⎭⎫⎝⎛-a ,21e a=-∴,即2e a -=. 22,1e a ee -=∴-<- 为所求.③由①知当1-=a 时,()()11max -==f x f ,()1≥∴x f . 又令()()2ln 1,21ln xxx g x x x g -='+=,令()0='x g ,得e x =. 当e x <<0时,()0>'x g ,()x g 在()e ,0上单调递增; 当e x >时,()0<'x g , ()x g 在()+∞,e 上单调递减.()()().11211max <∴<+==∴x g e e g x g ()()x g x f >∴, 即()21ln +>x x x f ,∴方程()21ln +=x x x f 没有实数解.。