吉林省长春市2018届高三一模考试
吉林省长市普通高中高三物理一模考试试题(扫描版)
吉林省长春市普通高中2018届高三物理一模考试试题（扫描版）长春市普通高中2018届高三质量监测（一）物理试题参考答案及评分标准一、选择题：本题共12小题，每小题4分，共48分。
在1～8小题给出的四个选项中，只有一个选项正确，在9～12小题给出的四个选项中，有多个选项正确，全部选对的得4分，选对但不全的得2分，有选错的得0分1．【答案】A【命题立意】以原子核物理的相关内容为命题背景，考查学生的理解能力。
【解析】23490Th衰变为22286Rn，经过3次α衰变，2次β衰变，A正确；21H+31H→42He+1n是核聚变方程，23490Th→23491Pa+01e是β衰变方程，B错误；23592U+1n→14456Ba+8936Kr+31n是核裂变方程，不是氢弹的核反应方程，C错误；高速运动的α粒子轰击氮核可从氮核中打出质子，其核反应方程为42He+147N→178O+11H，D错误。
故本题答案应为A。
2．【答案】D【命题立意】以运动学图象为命题背景考查学生的理解能力。
【解析】由v-t图象可知，0～36s内物体被吊起的高度为28m，A错误；0～10s内的平均速度的大小等于30s～36s内的平均速度的大小，均为0.5m/s，B错误；30s～36s 内物体匀减速上升，拉力小于重力，处于失重状态，C错误；前10s内物体做匀加速直线运动，拉力最大，钢索最容易发生断裂。
故本题答案为D。
3．【答案】B【命题立意】以静电场相关知识为命题背景考查学生的理解能力【解析】在虚线和电场线的交点处，画出此位置的速度方向，再由轨迹的弯曲方向可判断出带负电的粒子受到的电场力方向由M指向N，正点电荷的位置在N点的右侧。
离正电荷越近带负电的粒子受力越大，加速度越大。
并且速度方向和受力方向的夹角是锐角，电场力做正功，电势能减少，动能增加。
综上所述，故本题答案为B。
4．【答案】B【命题立意】以闭合电路欧姆定律相关知识为命题背景考查学生的推理能力【解析】当仅把R2的滑片向右缓慢移动时，两极板间的电压不变，电场强度不变，油滴静止不动，A错误；R1的滑片向右缓慢移动时R1的阻值变大，R1与R3串联的总电阻变大，故电路中的总电流变小，路端电压变大，极板间的电场强度增大，所以油滴受到的电场力增大，故油滴会向上运动，B正确；当缓慢增大极板A、B间的距离时，极板间的电场强度减小，油滴向下运动，C错误；两极板A、B间正对面积缓慢减小时，电容器电容减小，但极板间电压不变，电场强度不变，故油滴仍静止在原处，即D错误。
吉林省长春市普通高中2018届高三一模考试化学试题(解析版)
吉林省长春市普通高中2018届高三一模考试化学试题【整体分析】考试范围：高考要求难度：一般【知识点分析】第I卷（选择题）1．化学与社会、技术、环境、生活密切相关，下列有关说法中错误的是A．石油裂解、煤的干馏和纳米银粒子的聚集都是化学变化B．天然气、沼气都是比较清洁的能源，它们的主要成分都是烃类C．碘酒、84消毒液、75％的酒精都可用于消毒D．高纯硅广泛应用于太阳能电池和计算机芯片【答案】A【解析】A．纳米银粒子的聚集是物理变化，A错误；B．天然气、沼气都是比较清洁的能源，它们的主要成分都是烃类，B正确；C．碘酒、84消毒液、75％的酒精都可用于消毒，C正确；D．高纯硅广泛应用于太阳能电池和计算机芯片，D 正确，答案选A。
2．化学用语是学习化学的工具和基础，下列有关化学用语的表达正确的是A．H2S的电离方程式：H2S=2H++S2- B．用于考古测定年代的碳原子：146CC．CO2的电子式：D．次氯酸分子的结构式：H一Cl一O点睛：选项D 解答的易错点，书写化合物的电子式或2时，应注意原子间的连接顺序，确定原子间连接顺序的方法是先标出各原子的化合价，然后根据异性微粒相邻，同性微粒相间的原则确定，如HClO中各元素的化合价为，其结构式为H－O－Cl，电子式为。
3．设阿伏加德罗常数的值为NA，则下列说法中正确的是A．0.1mol HCl分子中含有的H+数目为0.1NAB．标准状况下，33.6L氟化氢中含有氟原子的数目为1.5NAC．3 mol 单质Fe完全转变为Fe3O4，失去的电子数为8NAD．0.lmol/L的NaHCO3溶液中含有的HCO3-的数目一定小于0.5NA【答案】C【解析】A．HCl是共价化合物，不存在氢离子，A错误；B．标准状况下HF 不是气态，不能利用气体摩尔体积计算33.6L氟化氢分子中含有氟原子的数目为1.5NA，B错误；C．3mol单质Fe完全转变为Fe3O4，失去的电子数为8NA，C正确；D．溶液体积未知，0.lmol/L的NaHCO3溶液中含有的HCO3-的数目不一定小于0.5NA，D错误，答案选C。
吉林省长春市普通高中2018届高三一模考试卷(文科)数学试题
普通高中2017-2018学年高三质量监测（一）数学试题卷（文科）一、选择题：本大题共12个小题，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. 集合，，则（）A. B. C. D.【答案】B【解析】集合，所以.故选B.点睛：1.用描述法表示集合，首先要弄清集合中代表元素的含义，再看元素的限制条件，明确集合类型，是数集、点集还是其他的集合．2．求集合的交、并、补时，一般先化简集合，再由交、并、补的定义求解．3．在进行集合的运算时要尽可能地借助Venn图和数轴使抽象问题直观化．一般地，集合元素离散时用Venn图表示；集合元素连续时用数轴表示，用数轴表示时要注意端点值的取舍．2. 设为虚数单位，则（）A. B. C. 2 D. -2【答案】D【解析】. 故选D.3. 已知圆的圆心坐标为，则（）A. 8B. 16C. 12D. 13【答案】D【解析】由圆的标准方程可知圆心为，即. 故选D.4. 等差数列中，已知，且公差，则其前项和取最小值时的的值为（）A. 6B. 7C. 8D. 9【答案】C【解析】由题意知，有，所以当时前项和取最小值. 故选C.点睛：在解决等差、等比数列的运算问题时，有两个处理思路,一是利用基本量,将多元问题简化为一元问题,虽有一定量的运算,但思路简洁,目标明确;二是利用等差、等比数列的性质,性质是两种数列基本规律的深刻体现，是解决等差、等比数列问题既快捷又方便的工具，应有意识地去应用.但在应用性质时要注意性质的前提条件，有时需要进行适当变形. 在解决等差、等比数列的运算问题时，经常采用“巧用性质、整体考虑、减少运算量”的方法. 5. 已知某班级部分同学一次测验的成绩统计如图，则其中位数和众数分别为( )A. 92，94B. 92，86C. 99，86D. 95，91【答案】B【解析】由茎叶图可知，中位数为92，众数为86. 故选B.6. 顶点为坐标原点，始边在轴的非负半轴上，终边在轴上的角的集合是（）A. B.C. D.【答案】C【解析】终边落在轴上的角的取值集合为.故选C.7. 右图是某学校某年级的三个班在一学期内的六次数学测试的平均成绩关于测试序号的函数图像，为了容易看出一个班级的成绩变化，将离散的点用虚线连接，根据图像，给出下列结论：①一班成绩始终高于年级平均水平，整体成绩比较好；②二班成绩不够稳定，波动程度较大；③三班成绩虽然多数时间低于年级平均水平，但在稳步提升．其中正确结论的个数为（）A. 0B. 1C. 2D. 3【答案】D【解析】通过函数图象，可以看出①②③均正确.故选D.8. 《九章算术》卷五商功中有如下问题：今有刍甍，下广三丈，袤四丈，上袤二丈，无广，高一丈，问积几何．刍甍：底面为矩形的屋脊状的几何体（网格纸中粗线部分为其三视图，设网格纸上每个小正方形的边长为1丈），那么该刍甍的体积为（）A. 4立方丈B. 5立方丈C. 6立方丈D. 12立方丈【答案】B【解析】由已知可将刍甍切割成一个三棱柱和一个四棱锥，三棱柱的体积为3，四棱锥的体积为2，则刍甍的体积为5.故选B.9. 已知矩形的顶点都在球心为，半径为的球面上，，且四棱锥的体积为，则等于（）A. 4B.C.D.【答案】A【解析】由题意可知球心到平面ABCD的距离 2，矩形ABCD所在圆的半径为，从而球的半径.故选A.10. 已知某算法的程序框图如图所示，则该算法的功能是（）A. 求首项为1，公差为2的等差数列前2017项和B. 求首项为1，公差为2的等差数列前2018项和C. 求首项为1，公差为4的等差数列前1009项和D. 求首项为1，公差为4的等差数列前1010项和【答案】C【解析】由题意可知，为求首项为1，公差为4的等差数列的前1009项和.故选C.点睛：算法与流程图的考查，侧重于对流程图循环结构的考查.先明晰算法及流程图的相关概念，包括选择结构、循环结构、伪代码，其次要重视循环起点条件、循环次数、循环终止条件，更要通过循环规律，明确流程图研究的数学问题，是求和还是求项.11. 已知为坐标原点，设分别是双曲线的左、右焦点，点为双曲线左支上任一点，自点作的平分线的垂线，垂足为，则（）A. 1B. 2C. 4D.【答案】A【解析】延长交于点，由角分线性质可知根据双曲线的定义，，从而，在中，为其中位线，故.故选A.点睛：对于圆锥曲线问题，善用利用定义求解，注意数形结合，画出合理草图，巧妙转化.12. 已知定义在上的奇函数满足，当时，，则函数在区间上所有零点之和为（）A. B. C. D.【答案】D【解析】,作图如下：，四个交点分别关于对称，所以零点之和为，选D.点睛：对于方程解的个数(或函数零点个数)问题，可利用函数的值域或最值，结合函数的单调性、草图确定其中参数范围．从图象的最高点、最低点，分析函数的最值、极值；从图象的对称性，分析函数的奇偶性；从图象的走向趋势，分析函数的单调性、周期性等．二、填空题（每题5分，满分20分，将答案填在答题纸上）13. 已知向量，则与的夹角为__________．【答案】【解析】，所以夹角为.14. 函数的单调增区间是__________．【答案】【解析】由题意可知，有或，从而该函数的单调递增区间为.15. 已知点位于轴、、三条直线所围成的封闭区域内（包含边界），则的最大值为__________．【答案】3【解析】根据可行域，取最大值的最优解为，所以的最大值为3.点睛：线性规划的实质是把代数问题几何化，即数形结合的思想.需要注意的是：一，准确无误地作出可行域；二，画目标函数所对应的直线时，要注意与约束条件中的直线的斜率进行比较，避免出错；三，一般情况下，目标函数的最大或最小值会在可行域的端点或边界上取得.16. 在中，三个内角的对边分别为，若，且，，则面积为__________．【答案】【解析】由题意可知，得，由余弦定理，得，从而面积为.三、解答题:共70分．解答应写出文字说明、证明过程或演算步骤．第17～21题为必考题，每个试题考生都必须作答．第22、23题为选考题，考生根据要求作答．17. 已知数列的前项和为，．（Ⅰ）求等差数列的通项公式；（Ⅱ）求．【答案】（1）（2）【解析】试题分析：（1）根据等差数列前n项和公式及通项公式，结合条件列出关于首项与公差的方程组，解方程组得，再代入通项公式（2）先求，再根据，利用裂项相消法求和试题解析：(1) 由题可知，从而有.(2) 由(1)知，从而.点睛：裂项相消法是指将数列的通项分成两个式子的代数和的形式，然后通过累加抵消中间若干项的方法，裂项相消法适用于形如 (其中是各项均不为零的等差数列，c 为常数)的数列. 裂项相消法求和，常见的有相邻两项的裂项求和(如本例)，还有一类隔一项的裂项求和，如或.18. 长春市的“名师云课”活动自开展以来获得广大家长和学子的高度赞誉，在我市推出的第二季名师云课中，数学学科共计推出36节云课，为了更好地将课程内容呈现给广大学子，现对某一时段云课的点击量进行统计：点击量节数 6 18 12（Ⅰ）现从36节云课中采用分层抽样的方式选出6节，求选出的点击量超过3000的节数．（Ⅱ）为了更好地搭建云课平台，现将云课进行剪辑，若点击量在区间内，则需要花费40分钟进行剪辑，若点击量在区间内，则需要花费20分钟进行剪辑，点击量超过3000，则不需要剪辑，现从（Ⅰ）中选出的6节课中任意取出2节课进行剪辑，求剪辑时间为40分钟的概率．【答案】（1）选出的6节课中有2节点击量超过3000.（2）【解析】试题分析：（1）根据分层抽样，点击量超过3000得节数为（2）利用枚举法确定6节课中任意取出2节课所有可能为12种，其中剪辑时间为40分钟有5种，最后根据古典概型概率公式求概率试题解析：解：（1）根据分层抽样，选出的6节课中有2节点击量超过3000.（2）在（Ⅰ）中选出的6节课中，设点击量在区间内的一节课为，点击量在区间内的三节课为，点击量超过3000的两节课为.从中选出两节课的方式有，，，，，，，，，，，，，，，共15种，其中剪辑时间为40分钟的情况有，，，，，共5种，则剪辑时间为40分钟的概率为.19. 如图，四棱锥中，底面为菱形，平面，为的中点．（Ⅰ）证明：平面；（Ⅱ）设，求三棱锥的体积．【答案】（1）见解析（2）【解析】试题分析：（1）连接交于点，则由三角形中位线性质得，再根据线面平行判定定理得（2）利用等体积法将所求体积转化为，再根据锥体体积公式求，代入即得试题解析：解：（1）连接交于点，连接. 在中，（2）.20. 已知椭圆的两个焦点为，且经过点．（Ⅰ）求椭圆的方程；（Ⅱ）过的直线与椭圆交于两点（点位于轴上方），若，求直线的斜率的值．【答案】（1）（2）【解析】试题分析：（1）由椭圆定义得，再根据勾股数求，（2）得从而，再联立直线方程与椭圆方程，利用韦达定理得及，代入可解得.试题解析：(1) 由椭圆定义，有，从而.(2) 设直线，有，整理得，设，有，，由已知.21. 已知函数．（Ⅰ）若函数的图像与直线相切，求的值；（Ⅱ）若恒成立，求整数的最大值．【答案】（1）1（2）2【解析】试题分析：（1）由导数几何意义得，即得，再由，解得.（2）先分离：，再利用结论，，可得，所以，即得整数的最大值为2.试题解析：（1）由题意可知，和相切，，则，即，解得.（2）现证明，设，令，即，因此，即恒成立，即，同理可证.由题意，当时，，即时，成立.当时，存在使，即不恒成立.因此整数的最大值为2.22. 选修4-4：坐标系与参数方程以直角坐标系的原点为极点，轴的正半轴为极轴建立极坐标系，已知点的直角坐标为，点的极坐标为，若直线过点，且倾斜角为，圆以圆心，3为半径．（Ⅰ）求直线的参数方程和圆的极坐标方程；（Ⅱ）设直线与圆相交于两点，求．【答案】（1）（2）7【解析】试题分析：（1）根据直线参数方程形式直接写出直线的参数方程，根据直角三角形关系得，即为圆的极坐标方程（2）利用将圆的极坐标方程化为直接坐标方程，将直线参数方程代入，利用韦达定理及参数几何意义得|=7试题解析：（Ⅰ）直线的参数方程为（t为参数），圆的极坐标方程为.（Ⅱ）把代入，得，，设点对应的参数分别为，则,23. 选修4-5：不等式选讲设不等式的解集为．（Ⅰ）求集合；（Ⅱ）若，求证：．【答案】（1）（2）见解析【解析】试题分析：（1）根据绝对值定义将不等式化为三个不等式组，分别求解，最后求并集（2）利用分析法证明，将所求不等式转化为，再根据，证明...............试题解析：（1）由已知，令由得.（2）要证，只需证，只需证，只需证只需证，由，则恒成立.点睛：(1)分析法是证明不等式的重要方法，当所证不等式不能使用比较法且与重要不等式、基本不等式没有直接联系，较难发现条件和结论之间的关系时，可用分析法来寻找证明途径，使用分析法证明的关键是推理的每一步必须可逆.(2)利用综合法证明不等式，关键是利用好已知条件和已经证明过的重要不等式.。
2018届吉林省长春市普通高中高三一模考试英语试题
2018 届吉林省长春市普通高中高三一模考试题英语试题第I卷第一部分听力（1-20 小题）在笔试结束后进行。
第二部分阅读理解（共两节，满分40 分）第一节（共15小题；每小题2分，满分30 分）阅读下面短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项，并在答题卡上将该项涂黑。
AExhibitions in the BritishMuseumHokusai: beyond the Great WaveKatsushikaHokusai （1760-1849） is widely regarded as one of Japan's most famous andinfluential artists.He produced works of astonishing quality right up until his death at the ageof 90.This new exhibition will lead you on an artisticjourney through the last 30 years ofHokusai's life—a time when he produced some of his most memorable masterpieces.25 May—13 August 2017Room 35Adults £ 12,Members/under 16s freePlaces of the mind: British watercolour landscapes 1850-1950Drawn from the British Museum's rich collection,this is the first exhibition devoted to landscape drawings and watercoloursby British artists in the Victorian and modern eras —twohalvesof very different centuries.23 February —27 August 2017Room 90Free,just drop inScythians:warriors of ancient SiberiaThis major exhibition explores the story of the Scythians—nomadic tribes and masters ofmounted warfare,who flourished between 900 and 200 BC.Their encounters with the Greeks,Assyrians and Persians were written into history but for centuries all trace of their culture waslost —buried beneath the ice.14 September 2017—14 January 2018Room 30Adults £ 16.50,Members/under 16s freePolitics and paradise:Indian popular prints from the MoscatelliGiftThis display is part of the Museum's contribution to the India-UK Year of Culture 2017.Itlooks at the popular print culture ofIndia from the 1880s until the 1950s.19 July—3 September 2017Room 90aFree,just drop in21.If you are interested in drawings of natural scenery,you will probably go to ____ .A. Room 35B.Room 90C.Room 30D.Room 90a22. Which exhibition can you attend in October 2017?A. Hokusai: beyond the Great Wave.B. Scythians: warriors of ancient Siberia.C. Places ofthe mind: British watercolour landscapes 1850-1950.D. Politics and paradise: Indian popular prints from the Moscatelli Gift.23. Where can we most probably find the passage?A. In a health report.B.In a story book.C.In a parenting magazine.D.In a tour guide.BCeleste Ng,a new writer,has gained recognition for her first novel,EverythingINever ToldYou.Ng's parents came from Hong Kong,China in the 1960s.Ng was born in America and grewup in Pittsburgh, Pennsylvania,and Shaker Heights,Ohio,in afamily ofscientists.Celestewent to Harvard University and earned an MFA from the University of Michigan,where she won the Hopwood Award.Although her novel is not about race,the characters are Asian.The main character is Lydia,a teenage girl,who is the favorite of three children born to a white mother and a Chinese-American father.The story is aboutLydia's disappearance,and the emotions the family goesthrough as the mystery unfolds.The whole family deals with sorrow, regret,and exposedsecrets as they search for their lost daughter.Though the characters in this story are Asian,Ng says she didn't really want to includeAsian characters.She was afraid people would think the story was about real people in her life.Because she grew up in America and doesn't speak Chinese,she was actually surprised that n characters in the book.The book has taken off,especially on Amazon,where it won the Editor's Pick for No.1 Best Book of the Year in 2014.Ng is still getting used to the attention,saying she is stillamazed when people tell herthey have read her book. With so many readers,it's safe to saythis is a book you should read.But if you're looking for a simple mystery,this bookmight notbe for you.Most readers warn that you should not read this book unless you're prepared to cry.24. The novel Everythi ng I Never Told You ____ .A. focuses on a family with a miss ing childB.discusses the ways to get rid of regretC.exposes the secret of the America n worldD.talks about the life of tee nagers in America25. Which of the followi ng is TRUE accordi ng to Celeste Ng?A. She wan ted to help the Asia n people.B. She was surprised she wrote about Asia n characters.C. She was born in Hong Kong and grew up in America.D. She wan ted people to know the characters were real people in her life.26. How do most readers probably find the book?A. I t's about race.B .I t's a sad story. C.I t's a simple mystery.D .It has a surpris ing ending.27. What is the text mai nly about?A.Celeste Ng and her family.B.The awards Celeste Ng won.C.Celeste Ng's lear ning experie nce.D.Celeste Ng and her best-k nown no vel.CLately a popular eight-floor bookstore in Hefei,Anhuiprovince,has risen to famebecauseit becomes the world's first shared bookstore,i n a move meant to en courage more readi ngam ong Chin ese citize ns.It comes to people's atte nti on as more tha n 200,000 visitors flooded the store on its first dayas a shared bookstore on July 16 this year,a recordhigh since it was reopened to the public in2013.Some 4,000 books were brought home on the first day,Thepaper.c n reported.Customers are allowed to borrow up to two books valued under 150 yuan per visit afterregistering with anapp and pay ing the 99 yua n deposit fee （押金）All books on sale in the bookstore are available for sharing.Returned books that aredamaged are sold at a disco un t.The bookstore also provides a bonus for bookworms.Peoplewho finish read ing 12 books in three mon ths receive eight perce nt of their deposit back,a ndmembers can be rewarded one yua n for every book read."We want to bring dow n the cost of readi ng so people could read more books,"Xu Xi nwei,who helps run the bookstore,told Thepaper.c n.Some pare nts buy a lot of books for their childre n,but they usually end up collect ing dustas their childre ngrow up.Similarly,some popular no vels for young people also fall out offashi on, accord ing to Xu."Books are more effectively circulated whe n they're shared."28. The bookstore becomes a shared one.A.to make more mon eyB.to make more room for new booksC.to in spire more people to readD.to recomme nd new books29. What does the underlined phrase “ ris⑥” torfaPiaragraph probably mean?A.Become well-k nown.B.Settled dow n.C.Broke n up.D.Take n over.30. What can we in fer.from the passage?A. The bookstore was once the best in An hui provi nee.B. The books that are sold here can't be borrowed.C. More than 4,000 books were taken home on July 16 in 2013.D. The cost ofreadi ng can be reduced by shari ng the books.31. What does the bookstore do to attract more readers?A. The bookstore en courages pare nts to buy more books for their childre n.B. The readers are allowed to borrow the books uncon diti on ally.C. The readers who are members can receive one yua n for every book read.D. The bookstore is con sideri ng offeri ng a bonus for anyone who likes read ing.DCan exercise during childhood protect you against memory loss many decades later?Exercise early in life seems to have life long ben efits for the brain ,i n rats at least."This is an ani mal study,but it shows that physical activity at a young age is very importa nt —not just for physical developme nt,but for the whole lifelong track of cog nitive （认知的）developme nt duri ng age in g,"says Martin Wojtowicz of the University of Toronto,Canada."lnhumans,itmay delay the appearanee of Alzheimer's symptoms （阿兹海默氏症），possiblyto the point ofpreventing them."Wojtowicz's team divided 80 young male rats into two equal groups,a nd placed runnin gwheels in the cages of one group for a period of six weeks.Aro und four mon ths later —whe nthe rats had reached middle age —the team taught all the rats to connect an electric shock withbe ing in a specific box.Whe n placed in the box,they froze with fear.Two weeks later,the team tested the rats in three situations: exactly the same box in thesame room,the same box with the room arran ged differe ntly,a nd a completely differe nt box ina differe nt room.The rats without access to a running wheel whe n they were young now froze the sameperce ntage of times in each of these situati on s,suggesti ng they could n't remember which on ewas dan gerous.But those that had bee n able to run in their youth froze 40 to 50 perce nt less in both cha nged box sett in gs.“ Theresults suggest the amount of physi cal activity whe n we're youn g,at least for rats,has in flue nee on brainand cognitive health —in the form of better memories —when we'reolder,"saysArthur KramerofNortheastern University in Boston,who has found that,inhumans,exercise promotes the growth of new brain cells.32. ______________________ T he study shows that .A.physical activity is important for physical healthB. using the running wheels is ofbenefit to the rats' growthC. physical activity can prevent human's Alzheimer's symptomsD.the more exercise a rat has when young,the better memory it will possess when older33. How are Paragraph 3 and 4 mainly developed?A.By analyzing causes.B.By giving an example.C.By describing the process.D.By showing differences.34. What does the underlined word "it" in Paragraph 2 refer to? A.Exercise.B.Development.C.Benefit.D.Study.35. What is the author's attitude towards the animal study? A.Negative.B.Objective.C.Critical.D.Doubtful.第二节（共5小题；每小题 2 分，满分10分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。
长春市普通高中2018届高三质量监测(一)语文(含答案)
长春市普通高中2018届高三质量监测(一)语文(含答案)供祀是书院制度的重要组成部分，与藏书、讲学一起并称为书院的三大事业。
书院作为与官学并行的教育组织，其供祀活动及其社会意义主要存在于文化层面。
在儒家传统教育中，知识教育与道德教育被认为同等重要，因此对书院教育而言，教学空间和供祀空间是必不可少的两大组成部分。
供祀作为一种具体规范的展礼、学礼活动，历来受到古代教育者的高度重视。
由于儒家思想的精微体现在对XXX学说的承传上，在书院兴建孔庙并定期举行供祀仪式，彰显了XXX至高无上的学术地位和道德境界。
这种严谨而规范的供祀形式作为书院的文化“规则”，一直受到书院管理者甚至统治者的高度重视。
书院的文化发展要依靠学术传播，即依靠对本学派学术旨趣的承传。
除了对本学派的“文本”进行阅读和阐释外，还要从精神上进行承传。
对本学派和本书院历史上具有影响的先贤进行供祀，表明了书院作为一个学术组织拥有的行为规范和精神特色。
南宋以来的书院无不将供祀本学派先贤作为标榜自身“正道脉而定所宗”的学术追求。
例如，XXX的“宗儒祠”供祀XXX、XXX等人，就体现了其学术旨趣。
书院供祀并非单纯的学术追求。
在漫长的发展过程中，书院已经从一种单纯的教育组织发展为集教学、藏书、祭祀、出版、经营管理等功能为一体的社会组织。
书院的地位和影响力得到了官方的扶持、地方贤达的资助以及民众的认同和参与。
书院供祀空间也为那些关心书院发展并作出重要贡献的名宦和贤达留有位置。
例如，XXX在XXX五年设立了“六君子堂”，这是专祀建院功臣的开始，显示了书院对他们功德的追怀和弘扬，也显示了书院在文化层面上与时俱进的一种追求。
清代书院将“立德、立功、立言”作为选取供祀对象的标准。
那些与书院发展没有直接关系，但与本地社会发展相关且有过较大影响的有功人士，也会得到书院的紧敬和供祀。
这种供祀对象多元化的模式，与宋代及以前书院供祀对象的单一化相比已经发生了明显变化。
例如，康熙年间XXX供奉各类社会贤明人士达150人之多，其承载的文化意义已经远远超越了“一种规范的展礼作用”。
2018届吉林省长春市普通高中高三一模考试英语试题
2018届吉林省长春市普通高中高三一模考试题英语试题第Ⅰ卷第一部分听力（1-20小题）在笔试结束后进行。
第二部分阅读理解（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下面短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项，并在答题卡上将该项涂黑。
AExhibitions in the British MuseumHokusai: beyond the Great WaveKatsushika Hokusai (1760-1849) is widely regarded as one of Japan's most famous and influential artists.He produced works of astonishing quality right up until his death at the age of 90.This new exhibition will lead you on an artistic journey through the last 30 years of Hokusai's life—a time when he produced some of his most memorable masterpieces.25 May—13 August 2017Room 35Adults￡12,Members/under 16s freePlaces of the mind: British watercolour landscapes 1850-1950Drawn from the British Museum's rich collection,this is the first exhibition devoted to landscape drawings and watercolours by British artists in the Victorian and modern eras—two halves of very different centuries.23 February—27 August 2017Room 90Free,just drop inScythians: warriors of ancient SiberiaThis major exhibition explores the story of theScythians—nomadic tribes and masters of mounted warfare,who flourished between 900 and 200 BC.Their encounters with the Greeks,Assyrians and Persians were written into history but for centuries all trace of their culture was lost—buried beneath the ice.14 September 2017—14 January 2018Room 30Adults￡16.50,Members/under 16s freePolitics and paradise: Indian popular prints from the Moscatelli GiftThis display is part of the Museum's contribution to the India-UK Year of Culture 2017.It looks at the popular print culture of India from the 1880s until the 1950s.19 July—3 September 2017Room 90aFree,just drop in21.If you are interested in drawings of natural scenery,you will probably go to______.A.Room 35B.Room 90C.Room 30D.Room 90a22.Which exhibition can you attend in October 2017?A.Hokusai: beyond the Great Wave.B.Scythians: warriors of ancient Siberia.C.Places of the mind: British watercolour landscapes 1850-1950.D.Politics and paradise: Indian popular prints from the Moscatelli Gift.23. Where can we most probably find the passage?A.In a health report.B.In a story book.C.In a parenting magazine.D.In a tour guide.BCeleste Ng,a new writer,has gained recognition for herfirst novel,Everything I Never Told You.Ng's parents came from Hong Kong,China in the 1960s.Ng was born in America and grew up in Pittsburgh, Pennsylvania,and Shaker Heights,Ohio,in a family of scientists.Celeste went to Harvard University and earned an MFA from the University of Michigan,where she won the Hopwood Award.Although her novel is not about race,the characters are Asian.The main character is Lydia,a teenage girl,who is the favorite of three children born to a white mother and a Chinese-American father.The story is about Lydia's disappearance,and the emotions the family goes through as the mystery unfolds.The whole family deals with sorrow, regret,and exposed secrets as they search for their lost daughter.Though the characters in this story are Asian,Ng saysshe didn't really want to include Asian characters.She was afraid people would think the story was about real people in her life.Because she grew up in America and doesn't speak Chinese,she was actually surprised that she n characters in the book.The book has taken off,especially on Amazon,where it won the Editor's Pick for No.1 Best Book of the Year in 2014.Ng is still getting used to the attention,saying she is still amazed when people tell her they have read her book. With so many readers,it's safe to say this is a book you should read.But if you're looking for a simple mystery,this book might not be for you.Most readers warn that you should not read this book unless you're prepared to cry.24.The novel Everything I Never Told You______.A.focuses on a family with a missing childB.discusses the ways to get rid of regretC.exposes the secret of the American worldD.talks about the life of teenagers in America25.Which of the following is TRUE according to Celeste Ng?A.She wanted to help the Asian people.B.She was surprised she wrote about Asian characters.C.She was born in Hong Kong and grew up in America.D.She wanted people to know the characters were real people in her life.26.How do most readers probably find the book?A.It's about race.B.It's a sad story.C.It's a simple mystery.D.It has a surprising ending.27.What is the text mainly about?A.Celeste Ng and her family.B.The awards Celeste Ng won.C.Celeste Ng's learning experience.D.CelesteNg and her best-known novel.CLately a popular eight-floor bookstore in Hefei,Anhui province,has risen to fame because it becomes the world's first shared bookstore,in a move meant to encourage more reading among Chinese citizens.It comes to people's attention as more than 200,000 visitors flooded the store on its first day as a shared bookstore on July 16 this year,a record high since it was reopened to the public in 2013.Some 4,000 books were brought home on the first day, reported.Customers are allowed to borrow up to two books valued under 150 yuan per visit after registering with an app and paying the 99 yuan deposit fee（押金）.All books on sale in the bookstore are available for sharing.Returned books that are damaged are sold at adiscount.The bookstore also provides a bonus for bookworms.People who finish reading 12 books in three months receive eight percent of their deposit back,and members can be rewarded one yuan for every book read."We want to bring down the cost of reading so people could read more books,"Xu Xinwei,who helps run the bookstore,told .Some parents buy a lot of books for their children,but they usually end up collecting dust as their children grow up.Similarly,some popular novels for young people also fall out of fashion,according to Xu."Books are more effectively circulated when they're shared."28.The bookstore becomes a shared one .A.to make more moneyB.to make more room for new booksC.to inspire more people to readD.torecommend new books29.What does the underlined phrase “risen to fam e”in Paragraph 1 probably mean?A.Become well-known.B.Settled down.C.Broken up.D.Taken over.30.What can we infer.from the passage?A.The bookstore was once the best in Anhui province.B.The books that are sold here can't be borrowed.C.More than 4,000 books were taken home on July 16 in 2013.D.The cost of reading can be reduced by sharing the books.31.What does the bookstore do to attract more readers?A.The bookstore encourages parents to buy more books for their children.B.The readers are allowed to borrow the books unconditionally.C.The readers who are members can receive one yuan for every book read.D.The bookstore is considering offering a bonus for anyone who likes reading.DCan exercise during childhood protect you against memory loss many decades later?Exercise early in life seems to have lifelong benefits for the brain,in rats at least."This is an animal study,but it shows that physical activity at a young age is very important一not just for physical development,but for the whole lifelong track of cognitive（认知的）development during ageing,"says Martin Wojtowicz of the University of Toronto,Canada."In humans,it may delay the appearance of Alzheimer's symptoms（阿兹海默氏症）,possibly to the point of preventing them."Wojtowicz's team divided 80 young male rats into two equal groups,and placed running wheels in the cages of one group for a period of six weeks.Around four months later —when the rats had reached middle age—the team taught all the rats to connect an electric shock with being in a specific box.When placed in the box,they froze with fear.Two weeks later,the team tested the rats in three situations: exactly the same box in the same room,the same box with the room arranged differently,and a completely different box in a different room.The rats without access to a running wheel when they were young now froze the same percentage of times in each of these situations,suggesting they couldn't remember which one was dangerous.But those that had been able to run in their youth froze 40 to 50 percent less in both changed box settings.“The results suggest the amount of physical activity when we're young,at least for rats,has influence on brain and cognitive health—in the form of better memories—when we're older,"says Arthur Kramer of Northeastern University in Boston,who has found that,in humans,exercise promotes the growth of new brain cells.32.The study shows that______.A.physical activity is important for physical healthing the running wheels is of benefit to the rats' growthC.physical activity can prevent human's Alzheimer's symptomsD.the more exercise a rat has when young,the better memory it will possess when older33.How are Paragraph 3 and 4 mainly developed?A.By analyzing causes.B.By giving an example.C.By describing the process.D.By showing differences.34.What does the underlined word "it" in Paragraph 2 refer to?A.Exercise.B.Development.C.Benefit.D.Study.35.What is the author's attitude towards the animal study?A.Negative.B.Objective.C.Critical.D.Doubtful.第二节（共5小题；每小题2分，满分10分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。
吉林省长春市普通高中2018届高三一模考试文数试题(附答案)
普通高中2018届高三质量监测（一）数学试题卷（文科）一、选择题：本大题共12个小题，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.集合{}1,2,4A =，{}|14,B x x x Z =≤<∈，则A B ⋂=（ ） A ．{}2 B ．{}1,2 C ．{}2,4 D ．{}1,2,42.设i 为虚数单位，则()()11i i -++=（ ） A ．2i B ．2i - C ．2 D ．-23.已知圆22460x y x y +-+=的圆心坐标为(),a b ，则22a b +=（ ） A ．8 B ．16 C ．12 D ．134．等差数列{}n a 中，已知6110a a +=，且公差0d >，则其前n 项和取最小值时的n 的值为（ ）A ．6B ．7C ．8D ．95．已知某班级部分同学一次测验的成绩统计如图，则其中位数和众数分别为（ ）A ．92，94B ．92，86C ．99，86D ．95，916.顶点为坐标原点，始边在x 轴的非负半轴上，终边在y 轴上的角α的集合是（ ） A ．{|2,}2k k Z πααπ=+∈ B ．{|2,}2k k Z πααπ=-∈C ．{|,}2k k Z πααπ=+∈ D ．{|,}2k k Z παα=∈ 7．右图是某学校某年级的三个班在一学期内的六次数学测试的平均成绩y 关于测试序号x 的函数图像，为了容易看出一个班级的成绩变化，将离散的点用虚线连接，根据图像，给出下列结论：①一班成绩始终高于年级平均水平，整体成绩比较好； ②二班成绩不够稳定，波动程度较大；③三班成绩虽然多数时间低于年级平均水平，但在稳步提升． 其中正确结论的个数为（ ）A ．0B ．1C ．2D ．38．《九章算术》卷五商功中有如下问题：今有刍甍，下广三丈，袤四丈，上袤二丈，无广，高一丈，问积几何．刍甍：底面为矩形的屋脊状的几何体（网格纸中粗线部分为其三视图，设网格纸上每个小正方形的边长为1丈），那么该刍甍的体积为（ ）A ．4立方丈B ．5立方丈C ． 6立方丈D ．12立方丈9．已知矩形ABCD 的顶点都在球心为O ，半径为R 的球面上，6,AB BC ==，且四棱锥O ABCD -的体积为R 等于（ ）A ．4B ．CD 10．已知某算法的程序框图如图所示，则该算法的功能是（ ）A ．求首项为1，公差为2的等差数列前2017项和B ．求首项为1，公差为2的等差数列前2018项和C ．求首项为1，公差为4的等差数列前1009项和D ．求首项为1，公差为4的等差数列前1010项和11．已知O 为坐标原点，设12,F F 分别是双曲线221x y -=的左、右焦点，点P 为双曲线左支上任一点，自点1F 作12F PF ∠的平分线的垂线，垂足为H ，则||OH =（ ） A ．1 B ．2 C ． 4 D ．1212．已知定义在R 上的奇函数()f x 满足()()f x f x π+=-，当[0,]2x π∈时，()f x =()()()1g x x f x π=--在区间3[,3]2ππ-上所有零点之和为（ ） A ．π B ．2π C ． 3π D ．4π 二、填空题（每题5分，满分20分，将答案填在答题纸上） 13.已知向量()()1,2,2,1a b ==-，则a 与b 的夹角为 ． 14.函数2()ln(34)f x x x =--的单调增区间是 ．15.已知点(),P x y 位于y 轴、y x =、2y x =-三条直线所围成的封闭区域内（包含边界），则2x y +的最大值为 ．16．在ABC 中，三个内角,,A B C 的对边分别为,,a b c ，若1c o s s i n 2b A B =，且a =，6b c +=，则ABC 面积为 ．三、解答题:共70分．解答应写出文字说明、证明过程或演算步骤．第17～21题为必考题，每个试题考生都必须作答．第22、23题为选考题，考生根据要求作答． 17.已知数列{}n a 的前n 项和为n S ，52630,16S a a =+=． （Ⅰ）求等差数列{}n a 的通项公式； （Ⅱ）求12111nS S S +++． 18．长春市的“名师云课”活动自开展以来获得广大家长和学子的高度赞誉，在我市推出的第二季名师云课中，数学学科共计推出36节云课，为了更好地将课程内容呈现给广大学子，现对某一时段云课的点击量进行统计：（Ⅰ）现从36节云课中采用分层抽样的方式选出6节，求选出的点击量超过3000的节数． （Ⅱ）为了更好地搭建云课平台，现将云课进行剪辑，若点击量在区间[]0,1000内，则需要花费40分钟进行剪辑，若点击量在区间(1000,3000]内，则需要花费20分钟进行剪辑，点击量超过3000，则不需要剪辑，现从（Ⅰ）中选出的6节课中任意取出2节课进行剪辑，求剪辑时间为40分钟的概率．19．如图，四棱锥P ABCD -中，底面ABCD 为菱形，PA ⊥平面ABCD ，E 为PD 的中点．（Ⅰ）证明：PB ∥平面AEC ；（Ⅱ）设1,PA AD PC PD ==，求三棱锥P ACE -的体积．20．已知椭圆C 的两个焦点为()()121,0,1,0F F -，且经过点E ． （Ⅰ）求椭圆C 的方程；（Ⅱ）过1F 的直线l 与椭圆C 交于,A B 两点（点A 位于x 轴上方），若112AF F B =，求直线l 的斜率k 的值．21. 已知函数()xf x e a =-．（Ⅰ）若函数()f x 的图像与直线:1l y x =-相切，求a 的值； （Ⅱ）若()ln 0f x x ->恒成立，求整数a 的最大值．（二）选考题：请考生在22、23两题中任选一题作答，如果多做，则按所做的第一题记分． 22．选修4-4：坐标系与参数方程以直角坐标系的原点O 为极点，x 轴的正半轴为极轴建立极坐标系，已知点P 的直角坐标为()1,2，点M 的极坐标为(3,)2π，若直线l 过点P ，且倾斜角为6π，圆C 以M 圆心，3为半径．（Ⅰ）求直线l 的参数方程和圆C 的极坐标方程； （Ⅱ）设直线l 与圆C 相交于,A B 两点，求||||PA PB ⋅． 23．选修4-5：不等式选讲设不等式||1||1||2x x +--<的解集为A ． （Ⅰ）求集合A ；（Ⅱ）若,,a b c A ∈，求证：1||1abcab c->-．长春市普通高中2018届高三质量监测（一） 数学（文科）试题参考答案及评分标准一、选择题（本大题共12小题，每小题5分，共60分） 1. B 2. D 3. D 4. C 5.B 6. C7. D 8. B 9. A10. C 11. A12. D简答与提示：1. 【命题意图】本题考查集合的交集运算.【试题解析】B 集合{1,2,3}=B ，所以{1,2}=A B .故选B.2. 【命题意图】本题考查复数的运算.【试题解析】D (1)(1)2i i -++=-. 故选D. 3. 【命题意图】本题考查圆的标准方程. .【试题解析】D 由圆的标准方程可知圆心为(2,3)-，即2213a b +=. 故选D. 4. 【命题意图】本题考查等差数列及其前n 项和. 【试题解析】C 由题意知6111150,0,2<>=-a a a d ，有2[(8)64]2=--n dS n ， 所以当8=n 时前n 项和取最小值. 故选C. 5. 【命题意图】本题主要考查茎叶图.【试题解析】B 由茎叶图可知，中位数为92，众数为86. 故选B. 6. 【命题意图】本题主要考查角的终边所在集合问题. 【试题解析】C 终边落在y 轴上的角的取值集合为{|,}2k k πααπ=+∈Z .故选C.7. 【命题意图】本题考查函数的应用.【试题解析】D 通过函数图象，可以看出①②③均正确.故选D. 8. 【命题意图】本题考查中华传统文化及三视图.【试题解析】B 由已知可将刍甍切割成一个三棱柱和一个四棱锥，三棱柱的体积为3，四棱锥的体积为2，则刍甍的体积为5.故选B. 9. 【命题意图】本题主要考查球的相关知识.【试题解析】A 由题意可知球心到平面ABCD 的距离 2，矩形ABCD 所在圆的半径为32，从而球的半径4=R .故选A.10. 【命题意图】本题主要考查算法和等差数列的前n 项和. 【试题解析】C 由题意可知1594033=++++S ，为求首项为1，公差为4的等 差数列的前1009项和.故选C.11. 【命题意图】本题考查双曲线定义的相关知识.【试题解析】A 延长1F H 交2PF 于点Q ，由角分线性质可知1||||,=PF PQ 根据 双曲线的定义，12||||||2-=PF PF ，从而2||2=QF ，在12∆FQF 中，OH 为其中位线，故||1=OH .故选A.12. 【命题意图】本题是考查函数的奇偶性、周期性和对称性及零点的相关知识. 【试题解析】D 由题意知()f x 为奇函数，周期为2π，其图象关于(,0)π对称，()g x 的零点可转化为1(),π==-y g x y x 图象交点的横坐标，由1π=-y x 关于(,0)π对称，从而在3[,3]2ππ-上的零点关于(,0)π对称，又零点的个数为4，进而所有零点之和为4π. 故选D.二、填空题（本大题共4小题，每小题5分，共20分） 13.2π14. (4,)+∞15. 3 16.简答与提示：13. 【命题意图】本题考查向量的夹角. 【试题解析】0⋅=a b ，所以,a b 夹角为2π. 14. 【命题意图】本题考查函数的单调性.【试题解析】由题意可知0432>--x x ，有1<-x 或4>x ，从而该函数的单调递增区间为(4,)+∞. 15. 【命题意图】本题考查线性规划.【试题解析】根据可行域，2+x y 取最大值的最优解为(1,1)，所以2+x y 的最大值 为3.16. 【命题意图】本题考查解三角形的相关知识.【试题解析】由题意可知cos sin sin 2==A B A b a，得tan 3π==A A ， 由余弦定理2212=+-b c bc ，得8=bc ，从而ABC ∆面积为 三、解答题17. (本小题满分12分)【命题意图】本题考查等差数列及数列前n 项和求法.【试题解析】(1) 由题可知315302616a a d =⎧⎨+=⎩，从而有12,2===n a d a n .(2) 由(1)知111(1),1=+=-+n n S n n S n n ，从而1211111111111223111++=-+-++-=-=+++n n S S S n n n n . 18. (本小题满分12分)【命题意图】本小题主要考查学生对抽样的理解，以及古典概型的相关知识，同时考查学生的数据处理能力.【试题解析】解：（1）根据分层抽样，选出的6节课中有2节点击量超过3000.（2）在（Ⅰ）中选出的6节课中，设点击量在区间[0,1000]内的一节课为1A ，点击量在区间(1000,3000]内的三节课为123,,B B B ，点击量超过3000的两节课为12,C C .从中选出两节课的方式有11A B ，12AB ，13A B ，11AC ，12AC ，12B B ，13B B ，11B C ，12BC ，23B B ，21B C ，22B C ，31B C ，32B C ，12CC ，共15种，其中剪辑时间为40分钟的情况有11AC ，12AC ，12B B ，13B B ，23B B ，共5种，则剪辑时间为40分钟的概率为51153=.19.(本小题满分12分)【命题意图】本小题以四棱锥为载体，考查立体几何的基础知识. 本题考查学生的空间想象能力、推理论证能力和运算求解能力.【试题解析】解：（1）连接BD 交AC 于点O ，连接OE . 在PBD △中，////PE DE PB OE BO DO OE ACE PB ACE PB ACE =⎫⎫⇒⎬⎪=⎭⎪⎪⊂⇒⎬⎪⊄⎪⎪⎭平面平面平面（2）111111(2)1244343P ACE P ACD P ABCD ABCDV V V S PA ---===⋅⋅=⋅⨯⨯= 20. (本小题满分12分)【命题意图】本小题考查直线与椭圆的位置关系及标准方程，考查学生的逻辑思维能力和运算求解能力.【试题解析】(1) 由椭圆定义122||||4=+=a EF EF，有2,1,==a c b 从而 22143+=x y .(2) 设直线:(1)l y k x =+，有22(1)143=+⎧⎪⎨+=⎪⎩y k x x y ，整理得2236(4)90+--=y y k k ，设1122(,),(,)A x y B x y ，有21212122,2()=-=+y y y y y y ，2348,k k +==，由已知k =21. (本小题满分12分)【命题意图】本小题主要考查函数与导数的知识，具体涉及到导数的运算，利用导数比较大小等，考查学生解决问题的综合能力.【试题解析】（1）由题意可知，()f x 和1y x =-相切，()1f x '=，则0x =，即(0)1f =-，解得2a =.（2）现证明1x e x +≥，设()1x F x e x =--，令()10x F x e '=-=，即0x =，因此()(0)0min F x F ==，即()0F x ≥恒成立，即1x e x +≥，同理可证ln 1x x -≤. 由题意，当2a ≤时，21ln x e x x --≥≥， 即2a =时，()()0f x g x ->成立.当3a =时，存在x 使3ln x e x -<，即3ln x e x -≥不恒成立. 因此整数a 的最大值为2.22. (本小题满分10分)【命题意图】本小题主要考查极坐标系与参数方程的相关知识，具体涉及到参数方程与平面直角坐标方程的互化、直线的参数方程的几何意义等内容. 本小题考查考生的方程思想与数形结合思想，对运算求解能力有一定要求. 【试题解析】 （Ⅰ）直线l的参数方程为1,12,2x y t ⎧=+⎪⎪⎨⎪=+⎪⎩为参数）t (， 圆的极坐标方程为θρsin 6=.（Ⅱ）把1,12,2x y t ⎧=+⎪⎪⎨⎪=+⎪⎩代入22(3)9x y +-=，得21)70t t +-=，127t t ∴=-，设点,A B 对应的参数分别为12,t t ，则12,PA t PB t ==,∴7.PA PB ⋅=23. (本小题满分10分)【命题意图】本小题主要考查不等式的相关知识，具体涉及到绝对值不等式解法等内容. 本小题重点考查考生的化归与转化思想.【试题解析】（1）由已知，令2(1)()|1||1|2(11)2(1)x f x x x x x x ⎧⎪=+--= -<<⎨⎪- ⎩≥≤-由|()|2<f x 得{|11}=-<<A x x .（2）要证1||1abc ab c->-，只需证|1|||abc ab c ->-， 只需证2222221a b c a b c +>+，只需证222221(1)a b c a b ->-只需证222(1)(1)0a b c -->，由,,a b c A ∈，则222(1)(1)0a b c -->恒成立.数学（文科）试题参考答案及评分标准一、选择题（本大题共12小题，每小题5分，共60分）1. B2. D3. D4. C5.B6. C7. D8. B9. A 10. C 11. A 12. D简答与提示：1. 【命题意图】本题考查集合的交集运算.【试题解析】B 集合{1,2,3}=B ，所以{1,2}=AB .故选B. 2. 【命题意图】本题考查复数的运算.【试题解析】D (1)(1)2i i -++=-. 故选D.3. 【命题意图】本题考查圆的标准方程. .【试题解析】D 由圆的标准方程可知圆心为(2,3)-，即2213a b +=. 故选D.4. 【命题意图】本题考查等差数列及其前n 项和.【试题解析】C 由题意知6111150,0,2<>=-a a a d ，有2[(8)64]2=--n d S n ， 所以当8=n 时前n 项和取最小值. 故选C.5. 【命题意图】本题主要考查茎叶图.【试题解析】B 由茎叶图可知，中位数为92，众数为86. 故选B.6. 【命题意图】本题主要考查角的终边所在集合问题.【试题解析】C 终边落在y 轴上的角的取值集合为{|,}2k k πααπ=+∈Z . 故选C.7. 【命题意图】本题考查函数的应用.【试题解析】D 通过函数图象，可以看出①②③均正确.故选D.8. 【命题意图】本题考查中华传统文化及三视图.【试题解析】B 由已知可将刍甍切割成一个三棱柱和一个四棱锥，三棱柱的体积为3，四棱锥的体积为2，则刍甍的体积为5.故选B.9. 【命题意图】本题主要考查球的相关知识.【试题解析】A 由题意可知球心到平面ABCD 的距离 2，矩形ABCD 所在圆的半径为32，从而球的半径4=R .故选A.10. 【命题意图】本题主要考查算法和等差数列的前n 项和.【试题解析】C 由题意可知1594033=++++S ，为求首项为1，公差为4的等 差数列的前1009项和.故选C. 11. 【命题意图】本题考查双曲线定义的相关知识.【试题解析】A 延长1F H 交2PF 于点Q ，由角分线性质可知1||||,=PF PQ 根据 双曲线的定义，12||||||2-=PF PF ，从而2||2=QF ，在12∆FQF 中，OH 为其中位 线，故||1=OH .故选A.12. 【命题意图】本题是考查函数的奇偶性、周期性和对称性及零点的相关知识.【试题解析】D 由题意知()f x 为奇函数，周期为2π，其图象关于(,0)π对称，()g x 的零点可转化为1(),π==-y g x y x 图象交点的横坐标，由1π=-y x 关于(,0)π对称，从而在3[,3]2ππ-上的零点关于(,0)π对称，又零点的个数为4，进而所有零点之和为4π. 故选D.二、填空题（本大题共4小题，每小题5分，共20分）13. 2π14. (4,)+∞ 15. 3 16. 简答与提示：13. 【命题意图】本题考查向量的夹角.【试题解析】0⋅=a b ，所以,a b 夹角为2π. 14. 【命题意图】本题考查函数的单调性.【试题解析】由题意可知0432>--x x ，有1<-x 或4>x ，从而该函数的单调递增区间为(4,)+∞.15. 【命题意图】本题考查线性规划.【试题解析】根据可行域，2+x y 取最大值的最优解为(1,1)，所以2+x y 的最大值 为3.16. 【命题意图】本题考查解三角形的相关知识. 【试题解析】由题意可知cos sin sin 2==A B A b a，得tan 3π==A A ， 由余弦定理2212=+-b c bc ，得8=bc ，从而ABC ∆面积为三、解答题17. (本小题满分12分)【命题意图】本题考查等差数列及数列前n 项和求法.【试题解析】(1) 由题可知31530,2616a a d =⎧⎨+=⎩从而有12,2===n a d a n . （6分） (2) 由(1)知111(1),1=+=-+n n S n n S n n ，从而1211111111111223111++=-+-++-=-=+++n n S S S n n n n . （12分）18. (本小题满分12分)【命题意图】本小题主要考查学生对抽样的理解，以及古典概型的相关知识，同时考查学生的数据处理能力.【试题解析】解：（1）根据分层抽样，选出的6节课中有2节点击量超过3000. （4分）（2）在（Ⅰ）中选出的6节课中，设点击量在区间[0,1000]内的一节课为1A ，点击量在区间(1000,3000]内的三节课为123,,B B B ，点击量超过3000的两节课为12,C C .从中选出两节课的方式有11A B ，12A B ，13A B ，11AC ，12AC ，12B B ，13B B ，11B C ，12B C ，23B B ，21B C ，22B C ，31B C ，32B C ，12C C ，共15种，其中剪辑时间为40分钟的情况有11AC ，12AC ，12B B ，13B B ，23B B ，共5种，则剪辑时间为40分钟的概率为51153=.（12分） 19. (本小题满分12分)【命题意图】本小题以四棱锥为载体，考查立体几何的基础知识. 本题考查学生的空间想象能力、推理论证能力和运算求解能力.【试题解析】解：（1）连接BD 交AC 于点O ，连接OE . 在PBD △中，////PE DE PB OE BO DO OE ACE PB ACE PB ACE =⎫⎫⇒⎬⎪=⎭⎪⎪ ⊂⇒⎬⎪ ⊄⎪⎪⎭平面平面平面（6分） （2）111111(2)124434348P ACE P ACD P ABCD ABCD V V V S PA ---===⋅⋅=⋅⨯⨯⨯=. （12分）20. (本小题满分12分)【命题意图】本小题考查直线与椭圆的位置关系及标准方程，考查学生的逻辑思维能力和运算求解能力.【试题解析】(1) 由椭圆定义122||||4=+=a EF EF，有2,1,===a c b 从而 22143+=x y . （4分）(2) 设直线:(1)l y k x =+，有22(1)143=+⎧⎪⎨+=⎪⎩y k x x y ，整理得2236(4)90+--=y y k k ， 设1122(,),(,)A x y B x y ，有21212122,2()=-=+y y y y y y ，2348,k k +==，由已知k =. （12分）21. (本小题满分12分)【命题意图】本小题主要考查函数与导数的知识，具体涉及到导数的运算，利用导数比较大小等，考查学生解决问题的综合能力.【试题解析】（1）由题意可知，()f x 和1y x =-相切，()1f x '=，则0x =，即(0)1f =-，解得2a =. （6分）（2）现证明1x e x +≥，设()1x F x e x =--，令()10x F x e '=-=，即0x =， 因此()(0)0min F x F ==，即()0F x ≥恒成立，即1x e x +≥，同理可证ln 1x x -≤. 由题意，当2a ≤时，21ln x e x x --≥≥，即2a =时，()()0f x g x ->成立.当3a =时，存在x 使3ln x e x -<，即3ln x e x -≥不恒成立.因此整数a 的最大值为2.（12分） .22. (本小题满分10分)【命题意图】本小题主要考查极坐标系与参数方程的相关知识，具体涉及到参数方程与平面直角坐标方程的互化、直线的参数方程的几何意义等内容. 本小题考查考生的方程思想与数形结合思想，对运算求解能力有一定要求.【试题解析】 （Ⅰ）直线l的参数方程为1,12,2x y t ⎧=+⎪⎪⎨⎪=+⎪⎩为参数）t (， 圆的极坐标方程为θρsin 6=.（5分）（Ⅱ）把1,12,2x y t ⎧=+⎪⎪⎨⎪=+⎪⎩代入22(3)9x y +-=，得21)70t t +-=， 127t t ∴=-，设点,A B 对应的参数分别为12,t t ， 则12,PA t PB t ==,∴7.PA PB ⋅=（10分）23. (本小题满分10分) 【命题意图】本小题主要考查不等式的相关知识，具体涉及到绝对值不等式解法等内容. 本小题重点考查考生的化归与转化思想.【试题解析】（1）由已知，令2(1)()|1||1|2(11)2(1)x f x x x x x x ⎧⎪=+--= -<<⎨⎪- ⎩≥≤-由|()|2<f x 得{|11}=-<<A x x .（5分） （2）要证1||1abc ab c->-，只需证|1|||abc ab c ->-， 只需证2222221a b c a b c +>+，只需证222221(1)a b c a b ->-只需证222(1)(1)0a b c -->，由,,a b c A ∈，则222(1)(1)0a b c -->恒成立. （10分）。
2018届吉林省长春市普通高中高三一模考试英语试题
2018届XX省长春市普通高中高三一模考试题英语试题第Ⅰ卷第一部分听力（1-20小题）在笔试结束后进行。
第二部分阅读理解（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下面短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项，并在答题卡上将该项涂黑。
AExhibitions in the BritishMuseumHokusai: beyond the Great WaveKatsushikaHokusai (1760-1849) is widely regarded as one of Japan's most famous andinfluential artists.He produced works of astonishing quality right up until his death at the ageof 90.This new exhibition will lead you on an artisticjourney through the last 30 years ofHokusai's life—a time when he produced some of his most memorable masterpieces.25 May—13 August 2017Room 35Adults￡12,Members/under 16s freePlaces of the mind: British watercolour landscapes 1850-1950Drawn from the British Museum's rich collection,this is the first exhibition devoted to landscape drawings and watercoloursby British artists in the Victorian and modern eras—twohalvesof very different centuries.23 February—27 August 2017Room 90Free,just drop inScythians:warriors of ancient SiberiaThis major exhibition explores the story of the Scythians—nomadic tribes and masters ofmounted warfare,who flourished between 900 and 200 BC.Their encounters with the Greeks,Assyrians and Persians were written into history but for centuries all trace of their culture waslost—buried beneath the ice.14 September 2017—14 January 2018Room 30Adults￡16.50,Members/under 16s freePolitics and paradise:Indian popular prints from the MoscatelliGiftThis display is part of the Museum's contribution to the India-UK Year of Culture 2017.Itlooks at the popular print culture ofIndia from the 1880s until the 1950s.19 July—3 September 2017Room 90aFree,just drop in21.If you are interested in drawings of natural scenery,you will probably go to______.A.Room 35B.Room 90C.Room 30D.Room 90a22.Which exhibition can you attend in October 2017?A.Hokusai: beyond the Great Wave.B.Scythians: warriors of ancient Siberia.C.Places ofthe mind: British watercolour landscapes 1850-1950.D.Politics and paradise: Indian popular prints from the Moscatelli Gift.23. Where can we most probably find the passage?A.In a health report.B.In a story book.C.In a parenting magazine.D.In a tour guide.BCeleste Ng,a new writer,has gained recognition for her first novel,EverythingINever ToldYou.Ng's parents came from Hong Kong,China in the 1960s.Ng was born in America and grewup in Pittsburgh, Pennsylvania,and Shaker Heights,Ohio,in afamily ofscientists.Celestewent to Harvard University and earned an MFA from the University of Michigan,where she won the Hopwood Award.Although her novel is not about race,the characters are Asian.The main character is Lydia,a teenage girl,who is the favorite of three children born to a white mother and a Chinese-American father.The story is aboutLydia's disappearance,and the emotions the family goesthrough as the mystery unfolds.The whole family deals with sorrow, regret,and exposedsecrets as they search for their lost daughter.Though the characters in this story are Asian,Ng says she didn't really want to includeAsian characters.She was afraid people would think the story was about real people in her life.Because she grew up in America and doesn't speak Chinese,she was actually surprised that n characters in the book.The book has taken off,especially on Amazon,where it won the Editor's Pick for No.1 Best Book of the Year in 2014.Ng is still getting used to the attention,saying she is stillamazed when people tell herthey have read her book. With so many readers,it's safe to saythis is a book you should read.But if you're looking for a simple mystery,this bookmight notbe for you.Most readers warn that you should not read this book unless you're prepared to cry.24.The novel Everything I Never Told You______.A.focuses on a family with a missing childB.discusses the ways to get rid of regretC.exposes the secret of the American worldD.talks about the life of teenagers in America25.Which of the following is TRUE according to Celeste Ng?A.She wanted to help the Asian people.B.She was surprised she wrote about Asian characters.C.She was born in Hong Kong and grew up in America.D.She wanted people to know the characters were real people in her life.26.How do most readers probably find the book?A.It's about race.B.It's a sad story.C.It's a simple mystery.D.It has a surprising ending.27.What is the text mainly about?A.Celeste Ng and her family.B.The awards Celeste Ng won.C.Celeste Ng's learning experience.D.Celeste Ng and her best-known novel.CLately a popular eight-floor bookstore in Hefei,Anhuiprovince,has risen to famebecauseit becomes the world's first shared bookstore,in a move meant to encourage more readingamong Chinese citizens.It comes to people's attention as more than 200,000 visitors flooded the store onits first dayas a shared bookstore on July 16 this year,a recordhigh since it was reopened to the public in2013.Some 4,000 books were brought home on the first day, reported.Customers are allowed to borrow up to two books valued under 150 yuan per visit afterregistering with an app and paying the 99 yuan deposit fee（押金）.All books on sale in the bookstore are available for sharing.Returned books that aredamaged are sold at a discount.The bookstore also provides a bonus for bookworms.Peoplewho finish reading 12 books in three months receive eight percent of their deposit back,andmembers can be rewarded one yuan for every book read."We want to bring down the cost of reading so people could read more books,"Xu Xinwei,who helps run the bookstore,told .Some parents buy a lot of books for their children,but they usually end up collecting dustas their children grow up.Similarly,some popular novels for young people also fall out offashion,according to Xu."Books are more effectively circulated when they're shared."28.The bookstore becomes a shared one.A.to make more moneyB.to make more room for new booksC.to inspire more people to readD.to recommend new books29.What does the underlined phrase“risen to fam e”in Paragraph 1 probably mean?A.Become well-known.B.Settled down.C.Broken up.D.Taken over.30.What can we infer.from the passage?A.The bookstore was once the best in Anhui province.B.The books that are sold here can't be borrowed.C.More than 4,000 books were taken home on July 16 in 2013.D.The cost ofreading can be reduced by sharing the books.31.What does the bookstore do to attract more readers?A.The bookstore encourages parents to buy more books for their children.B.The readers are allowed to borrow the books unconditionally.C.The readers who are members can receive one yuan for every book read.D.The bookstore is considering offering a bonus for anyone who likes reading.DCan exercise during childhood protect you against memory loss many decades later?Exercise early in life seems to have lifelong benefits for the brain,in rats at least."This is an animal study,but it shows that physical activity at a young age is very important一not just for physical development,but for the whole lifelong track of cognitive（认知的）development during ageing,"says Martin Wojtowicz of the University of Toronto,Canada."Inhumans,itmay delay the appearance of Alzheimer's symptoms（阿兹海默氏症）,possiblyto the point ofpreventing them."Wojtowicz's team divided 80 young male rats into two equal groups,and placed runningwheels in the cages of one group for a period of six weeks.Around four months later—whenthe rats had reached middle age—the team taught all the rats to connect an electric shock withbeing in a specific box.When placed in the box,they froze with fear.Two weeks later,the team tested the rats in three situations: exactly the same box in thesame room,the same box with the room arranged differently,and a completely different box ina different room.The rats without access to a running wheel when they were young now froze the samepercentage of times in each of these situations,suggesting they couldn't remember which onewas dangerous.But those that had been able to run in their youth froze 40 to 50 percent less inboth changed box settings.“The results suggest the amount of physi cal activity when we're young,at least for rats,has influence on brain and cognitive health—in the form of better memories—when we'reolder,"saysArthur KramerofNortheastern University in Boston,who has found that,inhumans,exercise promotes the growth of new brain cells.32.The study shows that______.A.physical activity is important for physical healthing the running wheels is ofbenefit to the rats' growthC.physical activity can prevent human's Alzheimer's symptomsD.the more exercise a rat has when young,the better memory it will possess when older33.How are Paragraph 3 and 4 mainly developed?A.By analyzing causes.B.By giving an example.C.By describing the process.D.By showing differences.34.What does the underlined word "it" in Paragraph 2 refer to?A.Exercise.B.Development.C.Benefit.D.Study.35.What is the author's attitude towards the animal study?A.Negative.B.Objective.C.Critical.D.Doubtful.第二节（共5小题；每小题2分，满分10分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。
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吉林省长春市2018届高三一模考试化学可能用到的相对原子质量：H-1 C-12 O-16 Mg-24 Al-27 S-32 Fe-56第I卷（选择题，共42分）一、选择题（本题共14小题，每小题只有一个正确选项，每小题3分，共42分）1．化学与社会、技术、环境、生活密切相关，下列有关说法中错误的是A．石油裂解、煤的干馏和纳米银粒子的聚集都是化学变化B．天然气、沼气都是比较清洁的能源，它们的主要成分都是烃类C．碘酒、84消毒液、75％的酒精都可用于消毒D．高纯硅广泛应用于太阳能电池和计算机芯片2．化学用语是学习化学的工具和基础，下列有关化学用语的表达正确的是A. H2S的电离方程式：H2S=2H++S2-B．用于考古测定年代的碳原子：146CC. CO2的电子式：D．次氯酸分子的结构式：H一Cl一O3．设阿伏加德罗常数的值为N A，则下列说法中正确的是A. 0.1mol HCl分子中含有的H+数目为0.1N AB．标准状况下，33.6L氟化氢中含有氟原子的数目为1.5N AC. 3 mol 单质Fe完全转变为Fe3O4，失去的电子数为8N AD. 0.lmol/L的NaHCO3溶液中含有的HCO3-的数目一定小于0.5N A4.下列关于有机物的说法中错误的是A．正丁烷和异丁烷的熔、沸点不相同B．乙烯、苯、乙酸分子中的所有原子都在同一平面上C．分子式为C3H8的烷烃，其一氯代物有2种D．乙烯和甲烷可用酸性高锰酸钾溶液鉴别5．下列各组离子或物质是否能够大量共存的评价及离子反应方程式书写均正确的是选项粒子组评价A 无色容液中：不能大量共存，因为有沉淀和气体生成Na+、Al3+、SO42-、CO32-2Al3++CO32-+3H2O=2Al(OH)3↓+CO2↑B 中性溶液中：Fe3+、NH4+、S2-、NO3-不能大量共存，因为有沉淀生成2Fe3++3S2-=Fe2S3↓C 澄清溶液中：K+、Cu2+、Cl-、NH3·H2O 不能大量共存，因为有沉淀生成Cu2++2OH-=Cu(HO)2↓D 酸性溶液中：Fe2+、Al3+、SO42-、I-能大量共存于同一溶液中6．下列反应中，属于取代反应的是① CH2=CH2+Br2 CH2BrCH2Br② 2CH3CH2OH+O2催化剂△2CH3CHO+2H2O③ CH3COOH+CH3CH2OH CH3COOCH2CH3+H2O④ C6H6+Br2C6H5Br+HBrA. ①④B．②③C．①③D．③④7. 已知A、B、C均为短周期元素，A、B同周期，A、C的最低价离子分别为A2-和C-，B2+和C-具有相同的电子层结构，下列说法中正确的是A．离子半径：A2- ＞C-＞B2+ B. C元素的最高正价为+7价C．对应气态氢化物的稳定性:H2A>HC D. 还原性：C-＞A2-8. 下列装置和操作能达到实验目的的是A．实验Ⅰ：比较HCl、H2CO3和H2SiO3的酸性强弱B．实验Ⅱ：检验铁粉与水蒸气反应产生的氢气C．实验Ⅲ：检验有乙烯生成D. 实验IV：酸式滴定管排气泡9. 铝表面在空气中天然形成的氧化膜耐磨性和抗蚀性不够强。
控制一定的条件，用如图所示的电化学氧化法，可在铝表面生成坚硬致密，耐腐蚀的氧化膜。
下列有关叙述正确的是A.阴极上有金属铝生成B.电极A为石墨，电极B为金属铝C.OH-在电极A上放电，有氧气生成D.阳极的电极反应式为：2Al-6e-+3H2O═AL2O3+6H+10. 下表各选项中．由Y得到W不能通过置换反应一步实现的是化合物选项 A B C DY CO2Fe2O3C2H5OH FeCl3W MgO Al2O3C2H5ONa CuCl211．一定条件下，将TiO 2和焦炭放入真空密闭容器中，反应TiO2 (s)+C(s) Ti(s)+CO2(g)达到平衡,保持温度不变,缩小容器容积,体系重新达到平衡,下列说法中一定正确的是A.平衡常数减小B. TiO2的质量不变C.CO2的浓度不变D. Ti的质量增加12．下列图示与对应的叙述相符的是A．图1表示向0.1mol/L CH3COOH溶液中逐步加入CH3COONa固体后，溶液pH的变化B．图2表示石墨转化为金刚石反应过程中的能量变化，可判断石墨比金刚石稳定C．图3表示Al3+与OH-反应时溶液中含铝微粒浓度变化曲线，图中a点溶液中大量存在Al3+D．图4表示某可逆反应的v-t曲线，图中阴影部分面积的含义是（v正-v逆）13．已知反应A 2(g)+2B2(g) 2AB2(g) ΔH＜0,下列说法正确的是A．升高温度，正反应速率增大，逆反应速率减小B．升高温度有利于反应速率增大，从而缩短达到平衡的时间C. 达到平衡后，升高温度或增大压强都有利于该反应平衡正向移动D．达到平衡后，降低温度或减小压强都有利于该反应平衡正向移动14.下列有关电解质及电解质溶液的说法正确的是A.氯化铝是非电解质，不能用电解熔融氯化铝的方法制备铝B．将NaOH溶液用水稀释，恢复至原温度，所有离子浓度均减小C.0.1mol/L Na2S溶液中：c(Na+)=2c(S2-)+2c(HS-)+2c(H2S)D.等浓度CH3COOH和CH3COONa的混合溶液中：c(Na+)>c(CH3COO-)>c(H+)>c(OH-)第Ⅱ卷（非选择题共58分）二、必做题（本题共3小题，共43分）15.（15分）工业生产中，海水提取溴常用空气吹出法。
某化学实验小组设计了如下实验装置（夹持装置略去）模拟该法从浓缩的海水中提取溴。
已知：Br2的沸点为58.78℃，密度为3.119g/cm3，微溶于水，有毒。
（1）实验步骤如下：①关闭活塞b、d，打开活塞a、c，向A中缓慢通入Cl2至反应结束；②关闭a、c，打开活塞b、d，向A中鼓入足量热空气；③关闭b，打开a，再通过A向B中通入足量Cl2；④取B中所得溶液进行蒸馏，收集液溴。
（2）步骤①A中主要反应的离子方程式为（3）X试剂可以是（填序号），步骤②B中X试剂与Br2发生反应的例子方程式为a.H2Ob. 饱和食盐水c.饱和Na2SO3溶液（4）该实验中尾气处理所用的试剂可为（5）蒸馏时，除酒精灯、石棉、铁架台外，还应该选择仪器（填序号）。
蒸馏操作中应控制温度为。
16.（14分）氰化钠（NaCN)是一种重要的化工原料，用于电镀、冶金和有机合成医药，农药及金属处理等方面。
已知:氰化钠为白色结晶颗粒或粉末，易潮解，有微弱的苦杏仁气味，剧毒。
熔点563.7℃，沸点1496℃。
易溶于水，易水解生成氰化氢，水溶液呈强碱性。
（1）氰化钠中氮元素的化合价是，用离子方程式表示NaCN溶液呈强碱性的原因:（2）已知：物质HCN H2CO3电离平衡常数（25℃）K a=6.2×10-10K a1=4.5×10-7，K a,2=4.7×10-11，则向NaCN溶液通入少量CO2反应的离子方程式：(3）用右图所示装置除去含CN-、Cl-废水中的CN-时，控制溶液PH为9~10，阳极产生的ClO－将CN－氧化为两种无污染的气体，下列说法错误的是A．用石墨作阳极，铁作阴极B．阳极的电极反应式为：Cl－+ 2OH－－2e－= ClO－+ H2OC．阴极的电极反应式为：2H2O + 2e－= H2↑ + 2OH－D．除去CN－的反应：2CN－+ 5ClO－+ 2H+ = N2↑ + 2CO2↑ + 5Cl－+ H2O（4）氰化钠可用双氧水进行消毒处理。
用双氧水处理氰化钠产生一种酸式盐和一种能使湿润的红色石蕊试纸变蓝的气体，请写出该反应的化学方程式；（5）过碳酸钠（2Na2CO3·3H2O2）具有Na2CO3和H2O2的双重性质，也可用于含氰废水的消毒处理。
①下列物质中，不会引起过碳酸钠发生氧化还原反应的有A. FeC13B. CuSO4C. Na2SiO3D. KCN②已知6KMnO4 +5(2Na2CO3·3H2O2)+19H2SO4=3K2SO4+6MnSO4+10Na2SO4+10CO2↑+15O2↑+34H2O.现称取0.2000g 过碳酸钠样品于250mL 锥形瓶中，加50mL蒸溜水溶解，再加50mL2.0000mol•L-1H2SO4，用0.0200 mol•L-1 KMnO4标准溶液滴定至终点时消耗30.00mL，则产品中H2O2的质量分数为______.17.（14分）研究CO2的利用对促进低碳社会的构建具有重要的意义。
（1）在一定条件下将CO2和H2转化为甲醇蒸气和水蒸气的相关反应有：CO 2(g) +3H2(g) CH3OH(g) +H2O(g) △H1=+41KJ/molCO(g) +2H 2(g) CH3OH(g) △H2=-90KJ/mol则由CO2和H2转化为甲醇蒸气和水蒸气的热化学方程式为（2）在一定温度下，向2L固定容积的密闭容器中通入2molCO2、3molH2，发生反应CO2(g) +3H2(g) CH3OH(g) +H2O(g) △H3<0.测得CO2(g)和CH3OH(g)的浓度随时间变化如图所示。
①能说明该反应已达平衡状态的是________。
A.CO2的体积分数在混合气体中保持不变B.体系中n(CO2)/n(H2)=1：1，且保持不变C.混合气体的密度不随时间变化D.单位时间内有n molH-H键断裂，同时又n mol O-H键生成②下列措施能使n(CH3OH)/n(CO2)增大的是。
A.升高温度B.恒温恒容充入He(g)C.使用高效催化剂D.恒温恒容下，再充入2molCO2、3molH2③计算该温度下此反应的平衡常数K= (L/mol)2；若使K的值变为1，则应采取的措施是。
A.增大压强B.恒压加入一定量H2C.降低温度D.升高温度（3）捕捉CO2可以利用Na2CO3溶液。
用100mL 0.1mol/LNa2CO3溶液完全捕捉224mL （已换算为标准状况，溶液体积变化忽略不计）CO2气体，所得溶液中：①c(HCO3-)+c(CO32-)+c(H2CO3)= mol/L（填数字）②c(HCO3-)+c(CO32-)= （用相关离子浓度表示）三、选做题（15分）（任选其一）18.【选修三-物质结构与性质】（15分）铁是工业生产中不可缺少的一种金属。
请回答下列问题：（1）Fe元素在周期表中的位置。
（2）Fe有δ、γ、α三种同素异形体，其晶胞结构如下图所示：①δ、α两种晶胞中铁原子的配位数之比为；②γ晶体晶胞中所含有的铁原子数为；③若Fe原子半径为r pm，N A表示阿伏伽德罗常数的值，则δ-Fe单质的密度g/cm3（列出算式即可）（3）三氯化铁常温下为固体，熔点282℃，沸点315℃，在300℃以上升华，易溶于水，也易溶于乙醚、丙酮等有机溶剂。