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宾川四中学年下学期高二文科数学月月半考试卷注意：本试卷包含Ⅰ、Ⅱ两卷。
第Ⅰ卷为选择题，所有答案必须用铅笔涂在答题卡中相应的位置。
第Ⅱ卷为非选择题，所有答案必须填在答题卷的相应位置。
答案写在试卷上均无效不予记分。
第卷一、选择题（本题共小题，每题分，共分）1.已知集合{≥}，{＜＜}，则∩（）. （∞，] . [，）. （，] . （，∞）2.设复数满足（），则（）. . . .3.几何体的三视图如图所示，该几何体的体积为（）. . . .4.若为等差数列{}的前项和．，，则{}的公差为（）. . . .5.若＞＞，＜＜，则（）＜ . ＜ . ＜ . ＞6.执行如图所示的程序框图，则输出的值为（）...7.若变量、满足约束条件，则的最小值为（）A.. . .8.函数（）在点处的切线方程为（）. . . .9. 某企业节能降耗技术改造后，在生产某产品过程中的产量（吨）与相应的生产能耗（吨）的几组对应数据如表所示：若根据表中数据得出关于的线性回归方程为，若生产吨产品，预计相应的生产能耗为（ ）吨． .....在区间[，]上随机取两个数，，记为事件“≤”的概率，则（ ）.....已知圆柱的高为，它的两个底面的圆周在直径为的同一个球的球面上，则该圆柱的体积为（ ）. π....设、是椭圆：12222=+b y a x （＞＞）的左右焦点，为直线45a上一点，△是底角为°的等腰三角形，则椭圆的离心率为（ ）... .第Ⅱ卷二、填空题（本大题共小题，共分）.已知向量a （，），b （，），若向量a b 与a垂直，则．.过点（，）且与直线2平行的直线被圆12)2()6(22=-+-y x 所截得的弦长为 ．.设一组数据，，，，的平均数是，则这组数据的标准差等于． . △的内角，，的对边分别为，，，若，则． 三、解答题（本大题共小题，共分）.已知数列{}是公比为的等比数列，且，，成等差数列． （）求数列{}的通项公式；（）记，求数列{}的前项和．.如图，在四棱锥中，侧棱⊥底面，且底面是边长为的正方形，侧棱，与相交于点．（）证明：⊥；（）求三棱锥的体积．.为了解某班学生喜好体育运动是否与性别有关，对本班人进行了问卷调查得到了如下的列联表：已知按喜好体育运动与否，采用分层抽样法抽取容量为的样本，则抽到喜好体育运动的人数为．（）请将上面的列联表补充完整；（）能否在犯错概率不超过的前提下认为喜好体育运动与性别有关？说明你的理由．（参考公式：（）独立性检验临界值表：.平面直角坐标系中，已知椭圆（＞＞）的焦距为，离心率为，椭圆的右顶点为．（）求该椭圆的方程：（）过点（，）作直线交椭圆于两个不同点，，求证：直线，的斜率之和为定值．.已知函数（）（）求函数（）在（，（））处的切线方程；（）对任意的＞，都有（）≤，求实数的取值范围．.在直角坐标系中，以原点为极点，以轴非负半轴为极轴，与直角坐标系取相同的长度单位，建立极坐标系、设曲线参数方程为（θ为参数），直线的极坐标方程为（）写出曲线的普通方程和直线的直角坐标方程；（）求曲线上的点到直线的最大距离．。
宾川四中2017--2018学年高二英语4月月考试卷试卷总分：150分第一部分：听力理解（共20小题；每小题1.5分，满分30分）第一节：(共5小题；每小题1.5分，满分7.5分)请听下面5段对话，选出最佳选项。
1. What is the man planning to do?A. Make some cheeses B Go on a trip C. Find a job in Paris2. What is the time now?A. 8 o'clockB. 10 o'clockC. 12 o'clock3. What are the speakers talking about?A. A local artistB. The man's salaryC. An apartment to let4. How does Dr. Heath spend most of his time?A. Giving lecturesB. Conducting researchC.Doing office work.5. Why does Elaine call Peter?A. To borrow his notesB. To explain her absence.C. To discuss the presentation 第二节：(共15小题；每小题1.5分，满分22.5分)请听下面5段对话或者独白，选出最佳选项。
请听第6段材料，回答第6、7题。
请听第6段材料，回答第6、7题。
6. What is Julia doing?A. Asking about her order .B. Reporting a computer problemC. Confirming a visit to a company7. When will the chairs arrive today?A. At about 10 amB. Around 12 noonC. By 4 pm请听第7段材料，回答第8至10题。
宾川四中2017-2018学年高二年级4月月考化学试卷考生注意：1、考试时间90分钟，总分100分。
2、所有试题必须在答题卡上作答否则无效。
3、交卷时只交答题卡，请认真填写相关信息。
4、可能用到的相对原子质量：H：1 O：16 C：12 N：14 Cl：35.5第（Ⅰ）卷选择题（共42分）一、单选题（本大题共14小题，共42分）1.下列实验方案中，可行的是（）A. 用食醋除去热水瓶中的水垢B. 用米汤检验加碘盐中的碘酸钾C. 向溶液中加过量NaOH溶液，制D. 向稀催化水解后的麦芽糖溶液中直接加入新制悬浊液，检验水解产物2.2017年世界地球日我国的主题为“节约集约利用资源，倡导绿色简约生活”下列做法应提倡的是（）A. 夏天设定空调温度尽可能的低B. 推广使用一次性塑料袋和纸巾C. 少开私家车多乘公共交通工具D. 对商品进行豪华包装促进销售3.青蒿素是抗疟特效药，属于萜类化合物，如图所示有机物也属于萜类化合物，该有机物的一氯取代物有不考虑立体异构）（）A.6种B. 7种C. 8种D. 9种4.下列实验或操作能达到预期目的是（）用溴水鉴别苯、乙醇、溴苯用盐酸酸化的硝酸钡溶液鉴别硫酸根离子与亚硫酸根离子用食醋和澄清石灰水验证蛋壳中含有碳酸盐将碘水倒入分液漏斗，加入，振荡后静置，可将碘萃取到中在容量瓶中加入一定体积的水，再加入浓硫酸配制准确浓度的稀硫酸A. B. C. D.5.下列离子方程式正确的是（）A. 向溶液中加入铁粉：B. 石灰石溶于醋酸：C. 铜跟浓硝酸反应：D. 向溶液中滴加稀盐酸：6.对于反应正反应为放热反应，下列各图所表示的变化符合勒夏特列原理的是（）A. B. C. D.7.已知下列反应的反应热：则该反应的反应热为（）A. B.C. D.8.已知，则中的x的值为（）A. 1B. 2C. 3D. 49.研究小组分别用锌片、铝片、Cu和稀硫酸进行原电池的相关的探究，所得部分实验数琚如下，下列说法正确的是（）A. 两组实验溶液的pH均增大B. 实验Ⅱ中，向Al定向迁移C. 实验I中，甲电极反应为：D. 实验Ⅱ中，电子由铜转移到锌10.溶液中存在平衡：橙色黄色用溶液进行下列实验：结合实验，下列说法不正确的是（）A. 中溶液橙色加深，中溶液变黄B. 中被还原C. 对比和可知酸性溶液氧化性强D. 若向中加入溶液至过量，溶液变为橙色11.下列各组离子在溶液中既可以大量共存，且加入氢氧化钠溶液后也不产生沉淀的是（）A. 、、、B. 、、、C. 、、、D. 、、、12.下列分离和提纯的实验操作中，正确的是（）A. 蒸发B. 过滤C. 蒸馏D. 分液13.设表示阿伏加德罗常数，下列叙述中正确的是（）A. 常温常压下，所含的原子数为B. 标准状况下，L 中所含分子数为C. 标准状况下，18g水所含原子数为D. 常温常压下，48 g 与混合物含有的氧原子数为14.短周期主族元素的原子序数依次增大，X原子核外最外层电子数是其电子层数的2倍，的核电荷数之比为3：的最外层为8电子结构，金属单质Z在空气中燃烧生成的化合物可与水发生氧化还原反应，下列说法正确的是（）A. X与Y能形成多种化合物，一般条件下都能与Z的最高价氧化物的水化物发生反应B. 原子半径大小：C. 化合物和都只存在离子键D. 的某些单质或两元素之间形成的某些化合物可作水的消毒剂第（Ⅱ）卷非选择题（共58分）二、填空题（本大题共3小题，共43分）15.分工业上可用软锰矿主要成分是和黄铁矿主要成分是为主要原料制备高性能磁性材料碳酸锰其工业流程如图1：回答下列问题：（1）为了提高溶浸工序中原料的浸出率，可以采取的措施有写一条；（2）除铁工序中，在加入石灰调节溶液的pH前，加入适量的软锰矿，其作用是；（3）FeS2中S的化合价是；（4）沉锰工序中，298K、c(Mn 2+ )为1.05 mol∙L -1时，实验测得MnCO 3的产率与溶液pH、反应时间的关系如图所示。
高二英语月考试题及答案-大理州宾川县第四高级中学-学年高二下学期开学考试46制卷人：李建勇考生注意：1、考试时间120分钟，总分100分。
2、所有试题必须在答题卡上作答否则无效。
3、交卷时只交答题卡，请认真填写相关信息。
第Ⅰ卷第一部分听力(共两节，共同20小题，每小题1分，满分20分) 做题时，先将答案标在试卷上。
录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。
第一节(共5小题：每小题1.5分，满分7.5分)听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. What cause the war according to the man?A. HungerB. PovertyC. Terrorism2. Which language is the man studying?A. FrenchB. RussianC. Spanish3. What does the woman want to do?A. Get petrol for the car.B. Have the car cleaned.C. Have a drink.4. When will the two speakers probably go skating?A. On Thursday.B. On Friday.C. On Saturday5. What is the man doing?A. Making an appointment.B. Asking for information.C. Offering help.第二节(共15小题;每小题1.5分，满分22.5分)听下面5段或独白对话。
每段对话后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
云南省大理州宾川县第四高级中学高二英语下学期4月月考试题考生注意：1、考试时间120分钟，总分150分。
2、所有试题必须在答题卡上作答否则无效。
3、交卷时只交答题卡，请认真填写相关信息。
第一卷(选择题满分115分)第一部分：听力（共两节，满分30分）第一节（共5小题；每小题1.5分，满分7.5分）请听下面5段对话，选出最佳选项。
1.What time is it now ?A. 4:45B. 5:05C. 5:252.What do we know about Sylvia ?A. She is impatient.B. She has red hair .C. She is very strict .3.What does the woman show the man ?A. A recorder .B. A cat .C.A book .4.Which remote control does the man show need?A. The one for the air conditioner .B. The one for the downstairs TV.C. The one for the upstairs TV.5.When did the man begin to work for the company that sells music equipment ?A.Three months ago .B. Three years ago .C. Thirteen years ago . 第二节（共15小题；每小题1.5分，满分22.5分）请听下面5段对话或独白，选出最佳选项。
请听第6段材料，回答6-7题。
6.What number does the man want to call ?A. 2-363 -9373.B.2-366-9733.C. 2-336-9337.7.Who will answer the call according to the man ?A. His mom or his wife .B. His mom or his dad .C. His wife or his dad. 请听第7段材料，回答8-9题。
云南省大理州宾川县第四完全中学2020—2021学年高一英语下学期4月月考试题考生注意：1、考试时间120分钟,总分150分.2、所有试题必须在答题卡上作答否则无效。
3、交卷时只交答题卡，请认真填写相关信息.第一卷(选择题满分115分)第一部分听力(共两节，满分30分)第一节 (共5小题,每题1.5分，满分7.5分)听下面5段对话。
每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置.听完每段对话后,你都有10秒钟的时间来回答相关小题和阅读下一小题。
每段对话仅读一遍.1。
Where does the conversation probably take place?A. In a school. B。
In an office。
C。
In a restaurant。
2。
What is the woman’s trouble？A。
She is late for the class。
B. She can’t find the classroom.C。
She has little chance of getting into that class。
3。
What will the woman see tonight?A。
A comedy。
B. A match。
C。
A drama。
4. What is the woman worried about the boy？A. His study. B。
His work. C. His health。
5。
When will the next party be held？A. In April。
B。
In May。
C。
In August.第二节（共15小题；每小题1.5分，满分22。
5分)听下面5段或独白对话。
每段对话后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
听每段对话前，你将有时间阅读各个小题，每小题5秒钟。
宾川四中2017—2018学年高二年级上学期11月英语试卷制卷人：王明琴罗景秀第一卷(满分115分)第一部分听力(共两节，满分30分)第二部第一节(共5小题；每小题1.5分，满分7.5分)第三部听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
第四部1．What is the weather like?第五部A．It's raining. B．It's cloudy C．It's sunny.第六部2．Who will go to China next month?第七部A．Lucy. B．Alice. C．Richard.第八部3．What are the speakers talking about?第九部A．The man's sister. B．A film. C．An actor.第十部4．Where will the speakers meet?第十一部A．In Room 340. B．In Room 314. C．In Room 223.第十二部5．Where does the conversation most probably take place?第十三部A．In a restaurant. B．In an office. C．At home.第十四部第二节(共15小题；每小题1.5分，满分22.5分)第十五部听下面5段对话或独白。
每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项。
听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。
每段对话或独白读两遍。
第十六部听第6段材料，回答第6至8题。
第十七部6．Why did the woman go to New York?第十八部A．To spend some time with the baby.第十九部B．To look after her sister. C．To find a new job.第二十部7．How old was the baby when the woman left New York?第二十一部A．Two months. B．Five months. C．Seven months.第二十二部8．What did the woman like doing most with the baby?第二十三部A．Holding him. B．Playing with him. C．Feeding him.第二十四部听第7段材料，回答第9至11题。
宾川四中2017—2018学年高二年级下学期4月月半考理科数学试卷考生注意：1、考试时间120分钟，总分150分。
2、所有试题必须在答题卡上作答否则无效。
3、交卷时只交答题卡，请认真填写相关信息。
一、选择题(本大题共12小题，共60分)1.已知集合A={x|0＜x＜2}，B={x|（x-1）（x+1）＞0}，则A∪B=（）A.（0，1）B.（1，2）C.（-∞，-1）∪（0，+∞）D.（-∞，-1）∪（1，+∞）2.已知条件p：log2（x-1）＜1的解，q：x2-2x-3＜0的解，则p是q的（）条件．A.充分非必要B.必要非充分C.充分必要D.既非充分又非必要3..复数z=在复平面内对应的点位于（）A.第一象限B.第二象限C.第三象限D.第四象限4.在等差数列{a n}中，已知a4+a8=16，则a2+a6+a10=（）A.12B.16C. 20D.245证明不等式的最适合的方法是（）A.综合法B.分析法C.间接证法D.合情推理法6.设变量x，y满足约束条件，则目标函数z=-2x+y的最大值为（）A.2B.C.-2D.7已知（3x2+k）dx=16，则k=（）A.1B.2C.3D.48若函数f（x）=-9lnx在区间[a-1，a+1]上单调递减，则实数a的取值范围是（）A.1＜a≤2 B.a≥4 C.a≤2 D.0＜a ≤39.由变量x 与y 相对应的一组数据（1，y 1）、（5，y 2）、（7，y 3）、（13，y 4）、（19，y 5）得到的线性回归方程为=2x +45，则=（ ）A.135B.90C.67D.6310.若直线ax +by -1=0（a ＞0，b ＞0）过圆x 2+y 2-2x -2y =0的圆心，则+的最小值为 A.3+2 B.4 C.+1 D.611．若定义在实数集R 上的可导函数()f x 满足：(1)()0x f x '-≥，则必有（ ）A ．(0)(2)2(1)f f f +<B ．(0)(2)2(1)f f f +≤C ．(0)(2)2(1)f f f +≥D ．(0)(2)2(1)f f f +>12．双曲线12222=-by a x (a>0，b>0)的两个焦点为1F 、2F ，若P 为其上一点，且|1PF |＝2|2PF |，则双曲线离心率的取值范围为( )A ．(1,3)B ．(1,3]C ．(3，＋∞)D ．[3，＋∞)二、填空题(本大题共4小题，共20分)13.已知函数f （x ）=x 2+bx 的图象在点A （1，f （1））处的切线l 与直线x +3y -2=0垂直，则b =______ ．14.已知椭圆+x 2=1（a ＞0）的焦点在y 轴上，长轴长是短轴长的两倍，a =______ ． 15.已知||=，||=2，若（+）⊥，则与的夹角是______ ．16.《聊斋志异》中有这样一首诗：“挑水砍柴不堪苦，请归但求穿墙术．得诀自诩无所阻，额上坟起终不悟．”在这里，我们称形如以下形式的等式具有“穿墙术”： 2=，3=，4=，5= 则按照以上规律，若8=具有“穿墙术”，则n = ______三、解答题(本大题共6小题，共70.0分)17. 已知z 为复数，z+2i 为实数，且（1﹣2i ）z 为纯虚数，其中i 是虚数单位．（1）求复数z ；（2）若复数z , ω满足，求|ω|的最小值．18.已知a 1=（n ∈N *）（I ）求{a n }的通项公式； （II ）求数列⎭⎬⎫⎩⎨⎧n n a 2的前n 项和．19. 已知函数()sin()f x A x ωϕ=+(0,0,)A ωϕπ>><，在同一周期内， 当12x π=时，()f x 取得最大值3；当712x π=时，()f x 取得最小值3-. （Ⅰ）求函数()f x 的解析式； （Ⅱ）若,36x ππ⎡⎤∈-⎢⎥⎣⎦时，函数()2()1h x f x m =+-有两个零点，求实数m 的取值范围．20.如图，平面ABCD ⊥平面ABEF ， ABCD 是正方形，ABEF 是矩形，且,1a AD AF ==G 是EF 的中点，（1）求证平面AGC ⊥平面BGC ；（2）求二面角B —AC —G 的余弦值.21.已知函数32()f x x ax bx c =+++.(1)(2)22.已知直线l ：y ＝kx ＋b 与椭圆x 22＋y 2＝1相交于A 、B 两点，O 为坐标原点．(1)当k ＝0,0<b <1时，求△AOB 的面积S 的最大值；OB →，求证直线l 与以原点为圆心的定圆相切，并求该圆的方程．宾川四中2017----2018学年下学期高二3月考试 理科数学答案和解析【答案】1.C2.A3.C4.D5.B6.D7.D8.A9.D 10.A 11.C 12.B13.114.215.150°16.6317.考点：复数求模；复数代数形式的乘除运算．专题：数系的扩充和复数．分析：（1）设z=a+bi（a，b∈R），l利用z+2i为实数，（1﹣2i）z为纯虚数，列出方程求解即可．（2）设ω=x+yi，（x，y∈R）|ω|最小值即为原点到圆（x﹣4）2+（y ﹣2）2=1上的点距离的最小值，即可求解|ω|的最小值．解答：解：（1）设z=a+bi（a，b∈R），则z+2i=a+（b+2）i，因为z+2i为实数，所以有b+2=0①…2分（1﹣2i）z（1﹣2i）（a+bi）=a+2b+（b﹣2a）i，因为（1﹣2i）z为纯虚数，所以a+2b=0，b﹣2a≠0，②…4分由①②解得a=4，b=﹣2．…6分故z=4﹣2i．…7分（2）因为z=4﹣2i，…8分设ω=x+yi，（x，y∈R）x﹣4）2+（y﹣2）2=1…10分又|ω|ω|最小值即为原点到圆（x﹣4）2+（y﹣2）2=1上的点距离的最小值，因为原点到点（4，2r=1，原点在圆外，所以|ω|的最小值即为1．…14分19.20平面ABCD⊥平面ABEF, BC⊥AB⊥平面ABE⊥AGBG⊥AGAG⊥平面BCG又ACGAGC⊥平面BGC（2）过点B作BH⊥CGAGC⊥平面BGC⊥平面AGC是BG在面ACG上的射影BG与面ACG所成的角BE＝EG（3）过B作BM⊥AC，连结MH⊥平面AGC是BM在面ACG上的射影⊥ACB—AC—G的平面角＝BC是AC的中点21、解：（1分分递减区间是 6分（222.已知直线l ：y ＝kx ＋b 与椭圆x 22＋y 2＝1相交于A 、B 两点，O 为坐标原点． (1)当k ＝0,0<b <1时，求△AOB 的面积S 的最大值；OB →，求证直线l 与以原点为圆心的定圆相切，并求该圆的方程． 解 (1)把y ＝b 代入x 22＋y 2＝1，得x ＝±2－2b 2.∴∴S △ b=b =b ≤，当且仅当b 2 时取等号．∴△AOB的面积S(2)设A(x1，y1)，B(x2，y2)，由得(1+2k2)x2+4kbx+2b，∴x1+x2x1·x2又∵OA⊥OB，∴(x1，y1)·(x2，y2)=0，即x1x2+y1y2=0.又x1x2+ y1y2= x1x2 +( k x1+b)(k x2+b)=(k2+1)·x1x2+kb(x1 + x2) +b2=(k22∴3b2 = 2k2+2.又设原点O到直线l的距离为d，则∴l该圆的方程为x2 + y2。
宾川四中2017—2018学年高二年级下学期4月月半考理科数学试卷考生注意：1、考试时间120分钟，总分150分。
2、所有试题必须在答题卡上作答否则无效。
3、交卷时只交答题卡，请认真填写相关信息。
一、选择题(本大题共12小题，共60分)1.已知集合A={x|0＜x＜2}，B={x|（x-1）（x+1）＞0}，则A∪B=（）A.（0，1）B.（1，2）C.（-∞，-1）∪（0，+∞）D.（-∞，-1）∪（1，+∞）2.已知条件p：log2（x-1）＜1的解，q：x2-2x-3＜0的解，则p是q的（）条件．A.充分非必要B.必要非充分C.充分必要D.既非充分又非必要3..复数z=在复平面内对应的点位于（）A.第一象限B.第二象限C.第三象限D.第四象限4.在等差数列{a n}中，已知a4+a8=16，则a2+a6+a10=（）A.12B.16C. 20D.245证明不等式的最适合的方法是（）A.综合法B.分析法C.间接证法D.合情推理法6.设变量x，y满足约束条件，则目标函数z=-2x+y的最大值为（）A.2B.C.-2D.7已知（3x2+k）dx=16，则k=（）A.1B.2C.3D.48若函数f（x）=-9lnx在区间[a-1，a+1]上单调递减，则实数a的取值范围是（）A.1＜a≤2 B.a≥4 C.a≤2 D.0＜a ≤39.由变量x 与y 相对应的一组数据（1，y 1）、（5，y 2）、（7，y 3）、（13，y 4）、（19，y 5）得到的线性回归方程为=2x +45，则=（ ）A.135B.90C.67D.6310.若直线ax +by -1=0（a ＞0，b ＞0）过圆x 2+y 2-2x -2y =0的圆心，则+的最小值为 A.3+2 B.4 C.+1 D.611．若定义在实数集R 上的可导函数()f x 满足：(1)()0x f x '-≥，则必有（ ）A ．(0)(2)2(1)f f f +<B ．(0)(2)2(1)f f f +≤C ．(0)(2)2(1)f f f +≥D ．(0)(2)2(1)f f f +>12．双曲线12222=-by a x (a>0，b>0)的两个焦点为1F 、2F ，若P 为其上一点，且|1PF |＝2|2PF |，则双曲线离心率的取值范围为( )A ．(1,3)B ．(1,3]C ．(3，＋∞)D ．[3，＋∞)二、填空题(本大题共4小题，共20分)13.已知函数f （x ）=x 2+bx 的图象在点A （1，f （1））处的切线l 与直线x +3y -2=0垂直，则b =______ ．14.已知椭圆+x 2=1（a ＞0）的焦点在y 轴上，长轴长是短轴长的两倍，a =______ ． 15.已知||=，||=2，若（+）⊥，则与的夹角是______ ．16.《聊斋志异》中有这样一首诗：“挑水砍柴不堪苦，请归但求穿墙术．得诀自诩无所阻，额上坟起终不悟．”在这里，我们称形如以下形式的等式具有“穿墙术”： 2=，3=，4=，5= 则按照以上规律，若8=具有“穿墙术”，则n = ______三、解答题(本大题共6小题，共70.0分)17. 已知z 为复数，z+2i 为实数，且（1﹣2i ）z 为纯虚数，其中i 是虚数单位．（1）求复数z ；（2）若复数z , ω满足，求|ω|的最小值．18.已知a 1=（n ∈N *）（I ）求{a n }的通项公式； （II ）求数列⎭⎬⎫⎩⎨⎧n n a 2的前n 项和．19. 已知函数()sin()f x A x ωϕ=+(0,0,)A ωϕπ>><，在同一周期内， 当12x π=时，()f x 取得最大值3；当712x π=时，()f x 取得最小值3-. （Ⅰ）求函数()f x 的解析式； （Ⅱ）若,36x ππ⎡⎤∈-⎢⎥⎣⎦时，函数()2()1h x f x m =+-有两个零点，求实数m 的取值范围．20.如图，平面ABCD ⊥平面ABEF ， ABCD 是正方形，ABEF 是矩形，且,1a AD AF ==G 是EF 的中点，（1）求证平面AGC ⊥平面BGC ；（2）求二面角B —AC —G 的余弦值.21.已知函数32()f x x ax bx c =+++.(1)(2)22.已知直线l ：y ＝kx ＋b 与椭圆x 22＋y 2＝1相交于A 、B 两点，O 为坐标原点．(1)当k ＝0,0<b <1时，求△AOB 的面积S 的最大值；OB →，求证直线l 与以原点为圆心的定圆相切，并求该圆的方程．宾川四中2017----2018学年下学期高二3月考试 理科数学答案和解析【答案】1.C2.A3.C4.D5.B6.D7.D8.A9.D 10.A 11.C 12.B13.114.215.150°16.6317.考点：复数求模；复数代数形式的乘除运算．专题：数系的扩充和复数．分析：（1）设z=a+bi（a，b∈R），l利用z+2i为实数，（1﹣2i）z为纯虚数，列出方程求解即可．（2）设ω=x+yi，（x，y∈R）|ω|最小值即为原点到圆（x﹣4）2+（y ﹣2）2=1上的点距离的最小值，即可求解|ω|的最小值．解答：解：（1）设z=a+bi（a，b∈R），则z+2i=a+（b+2）i，因为z+2i为实数，所以有b+2=0①…2分（1﹣2i）z（1﹣2i）（a+bi）=a+2b+（b﹣2a）i，因为（1﹣2i）z为纯虚数，所以a+2b=0，b﹣2a≠0，②…4分由①②解得a=4，b=﹣2．…6分故z=4﹣2i．…7分（2）因为z=4﹣2i，…8分设ω=x+yi，（x，y∈R）x﹣4）2+（y﹣2）2=1…10分又|ω|ω|最小值即为原点到圆（x﹣4）2+（y﹣2）2=1上的点距离的最小值，因为原点到点（4，2r=1，原点在圆外，所以|ω|的最小值即为1．…14分19.20平面ABCD⊥平面ABEF, BC⊥AB⊥平面ABE⊥AGBG⊥AGAG⊥平面BCG又ACGAGC⊥平面BGC（2）过点B作BH⊥CGAGC⊥平面BGC⊥平面AGC是BG在面ACG上的射影BG与面ACG所成的角BE＝EG（3）过B作BM⊥AC，连结MH⊥平面AGC是BM在面ACG上的射影⊥ACB—AC—G的平面角＝BC是AC的中点21、解：（1分分递减区间是 6分（222.已知直线l ：y ＝kx ＋b 与椭圆x 22＋y 2＝1相交于A 、B 两点，O 为坐标原点． (1)当k ＝0,0<b <1时，求△AOB 的面积S 的最大值；OB →，求证直线l 与以原点为圆心的定圆相切，并求该圆的方程． 解 (1)把y ＝b 代入x 22＋y 2＝1，得x ＝±2－2b 2.∴∴S △ b=b =b ≤，当且仅当b 2 时取等号．∴△AOB的面积S(2)设A(x1，y1)，B(x2，y2)，由得(1+2k2)x2+4kbx+2b，∴x1+x2x1²x2又∵OA⊥OB，∴(x1，y1)²(x2，y2)=0，即x1x2+y1y2=0.又x1x2+ y1y2= x1x2 +( k x1+b)(k x2+b)=(k2+1)²x1x2+kb(x1 + x2) +b2=(k22∴3b2 = 2k2+2.又设原点O到直线l的距离为d，则∴l该圆的方程为x2 + y2。
宾川四中2015 – 2016学年高二年级下学期见面考试题英语注意事项：1.答题前，考生在答题卡上务必用直径0.5毫米黑色墨水签字笔将目己的姓名、班级、考场号、座位号填写在答题卡相应的位置。
2.每小题选出答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其他答案标号，在试题卷上作答无效（考试时间120分钟，总分150分。
）。
3.交卷时只需交上答题卡，试卷考生自己带走。
第Ⅰ卷第一部分听力(共两节，共同20小题，每小题1.5分，满分30分)做题时，先将答案标在试卷上。
录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。
第一节(共5小题：每小题1.5分，满分7.5分)听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1.What’s th e man’s opinion of Professor White’s classes?A. He is tired of it.B. He feels it enjoyable.C. He thinks it is quite beneficial.2. What do we learn from the conversation?A. The woman does her housework.B. The woman needs a housekeeper.C. The woman’s house is in a mess.3. How much does the man need to pay?A. ﹩6.B. ﹩16.C. ﹩20.4. How much does a pound of oranges cost?A. 6 cents.B. 16 cents.C. 60 cents.5. How does the man usually go to work?A. By bike.B. On foot.C. By taxi.第二节(共15小题;每小题1.5分，满分22.5分)听下面5段或独白对话。
宾川四中2017--2018学年高二英语4月月考试卷试卷总分：150分第一部分：听力理解（共20小题；每小题1.5分，满分30分）第一节：(共5小题；每小题1.5分，满分7.5分)请听下面5段对话，选出最佳选项。
1. What is the man planning to do?A. Make some cheeses B Go on a trip C. Find a job in Paris2. What is the time now?A. 8 o'clockB. 10 o'clockC. 12 o'clock3. What are the speakers talking about?A. A local artistB. The man's salaryC. An apartment to let4. How does Dr. Heath spend most of his time?A. Giving lecturesB. Conducting researchC.Doing office work.5. Why does Elaine call Peter?A. To borrow his notesB. To explain her absence.C. To discuss the presentation 第二节：(共15小题；每小题1.5分，满分22.5分)请听下面5段对话或者独白，选出最佳选项。
请听第6段材料，回答第6、7题。
请听第6段材料，回答第6、7题。
6. What is Julia doing?A. Asking about her order .B. Reporting a computer problemC. Confirming a visit to a company7. When will the chairs arrive today?A. At about 10 amB. Around 12 noonC. By 4 pm请听第7段材料，回答第8至10题。
8. What is the conversation mainly about?A. Course designB. Course registrationC. Course evaluation9. What course did the woman choose?A. International TradeB. Modern HistoryC. Chemistry10. What will Jack do to take mathematics?A. Wait for an opening.B. Apply to the departmentC. Speak to Professor Anderson 请听第8段材料，回答第11至13题。
11. Where does the conversation probably take place?A. In a shopB. In a canteenC. In an office12. What bothers the woman?A. Her computer is downB. Her paper is missingC.Her hand is aching13. When is the woman's report due?A .WednesdayB .Friday C. Next Monday请听第9段材料，回答第14至17题。
14. What is the man doing?A. Writing a bookB. Preparing a lectureC. Searching for references15. What does the woman suggest the man do?A. Make his topic more specificB. Get a complete reading listC. Read at least six books.16. What is the man going to focus on?A. Hollywood in the 1920sB. 20th-century Hollywood movies.C.Golden Age Hollywood comedies.17. What is the relationship between the speakers?A. Student and teacherB. Reader and librarian C .Customer and shop assistant请听第10段材料，回答第18至20题。
18. What will the weather be like in high places this evening?A .There’ll be showers B. T here’ll be heavy mist C. Th ere’ll be strong wind19. How will the day start in coastal areas tomorrow?A. CloudyB. Rainy.C. Sunny.20. When can holiday makers expect good weather?A. This weekendB. End of this monthC. Next month第二部分：阅读理解第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项。
AIn order to know a foreign language thoroughly，four things are necessary. First, we must understand the language when we hear it spoken. Secondly, we must be able to speak it ourselves, correctly with confidence and without hesitation. Thirdly, we must be able to write it. We must be able to make sentences that are correct in grammar.There is no short way to succeed in language learning. A good memory is a great help, but it is not enough only to memorize the rules from a grammar book. It is no much use learning by heart long lists of words and their meanings, studying the dictionary and so on. We must learn by using the language. If we are pleased with a few rules we have memorized, we are not really learning the language. We must “Learn through use”. Practice is important. We must practise speaking and writing the language whenever we can.21. The most important things to learn a foreign language are ____A. understanding and speakingB. hearing, speaking, reading and writingC. writing and understandingD. memorizing and listening22. Which of the following is the most important in learning a foreign language?________A. A good memory.B. Speaking.C. Practice.D. Writing.23. “Learn through use” means, ________A. we use a language in order to learn itB.we learn foreign language in order to use itC. we can learn a language well while we are using itD. both B and CBWe all long for friendship, but how to ma ke a friend? “The best time to make a friend is before you need one.” Joy Steven said. The following are some tips for you.People equal friendsFriends usually begin with strangers. Getting in touch with other people is the first step to make a frien d. Friends can’t be made in empty air. Best friends take time to make.Friends understand friendsFriends understand each other when talking. Many unpleasant personal quarrels can be avoided if you will take the time to understand others’ feelings and points of view.Friends touch friendsTouching is a warm form of communication between friends. When you see best friends communicating, you will notice them stand close together, touch each other comfortably and listen to each other. Sometimes a friendly touch is more powerful than words.Friends praise friendsPraise is a powerful tool to make a friend. Honest praise can affect your friends’ lives. So try to praise your friends, including your general ones. Friends can be loyal and trustworthyTrust and loyalty go hand in hand for friends. Friends can share secrets with you, because good friends never break confidence and are loyal forever.24. From Joy Steven’s words, we can conclude that ________A. a friend in need is a friend indeedB. it is never too late to make a friendC. it is late to make a friend when you need oneD. everyone needs a friend in his life25. To make and keep many friends, you need to do the following EXCEPT ___________.A. get in touch with peopleB. understand your friendsC. praise your friendsD. quarrel with your friends26. The passage mainly tells us ______________.A. how to communicate with a friendB. how to develop friendshipC. when to make a friendD. how to praise a friendCMr. Lee was in bed and was trying to go to sleep when he heard the bell ring. He turned on the light and looked at his clock. It was twelve o'clock. "Who can it be at this time of night?" He thought. He decided to go and find out. So he got of bed, put on his dressing gown (浴袍) and went to the door. When he opened the door, there was nobody there. "That is very strange." Then he went back to his bedroom, took off his dressing gown, got back into bed, turned off the light and tried to go to sleep.A few minutes later he heard the bell again. Mr. Lee jumped out of bed very quickly and rushed to the door. He opened it, but again he found no one there. He closed the door and tried not to feel angry. Then he saw a piece of paper on the floor. He picked it up. There were some words on it : "It is now after midnight, so it is April Fool's Day. April fool to you!""Oh , it was the English boy next door!" Mr. Lee exclaimed (惊叫) and almost smiled. He went back to bed and feel asleep at once. The bell did not ring again.27. When did Mr. Lee go to bed? _______.A. before twelve o'clockB. after twelve o'clockC. when the bell rangD. when he saw the boy28. Why did he rush to the door when he heard the bell ring the second time?A. He wanted to open the door for the visitorB. He wanted to find out who the visitor was.C. He was afraid of the ringD. He was waiting for someone.29. From this passage, we can _______ on April Fool's Day.A. say "Hello" to each otherB. dance and sing at nightC. play jokes on each otherD. send presents to children30. What did Mr. Lee think about the English boy? He _________ .A. was a good boyB. was friendly with himC. shouldn't ring the bell at midnightD. did a dangerous thing just nowDLiving and dealing with kids can be a tough job these days, but living and dealing with parents can be even tougher.If I have learned anything in my 16 years, it is that communication is very important, both when you disagree and when you get along With any relationship, you need to let other person know how you are feeling. If you are not able to communicate, you drift apart. When you are mad at your parents, or anyone else, not talking to them doesn’t so lve anything.Communication begins with the concerns of another. It means that you can’t just come home from school, go up to your room and ignore everyone. Even if you just say “Hi”, and see how their day was for five minutes, it is better than nothin g.If you looked up the word “communication” in a dictionary, it would say “the exchange of ideas, the conveyance （表达）of information, correspondence （通信）, means of communication: a letter or a message”. To maintain a good relationship, you must keep c ommunication strong. Let people know how you feel, even if it’s just by writing a note.When dealing with parents, you always have to make them feel good about how they are doing as a parent. If you are trying to make them see something as you see it, tell them that you’ll listen to what they have to say, but ask them politely to listen to you. Yelling or walking away only makes the situation worse.This is an example: one night, Sophie went to a street party with her friends. She knew she had to be home by midnight after the fireworks, but she didn’t feel she could just ask to go home. That would be rude. After all, they had been nice enough to take her along with them. Needless to say, she was late getting home. Her parents were mad at first, not w hen Sophie explained why she was late, they weren’t as mad and let the incident go. Communication is the key factor here. If Sophie’s parentshad not been willing to listen, Sophie would have been in a lot of trouble.Communication isn’t a one-way deal: it goes both ways. Just remember: if you get into a situation like Sophie’s, telling the other person how you feel-listening is the key factor to communication.31. In the writer’s view, dealing with parents is __________ than with children.A. more difficultB. easierC. more uninterestingD. more interesting32. The main idea of the second paragraph is __________.A. the importance of friendshipB. to make your feeling known to othersC. the importance of communicationD. the disagreement between generations33. When parents and children are in communication, the key to a happy relationship is that __________.A. children should always obey their parentsB. they should be equalC. parents play the leading partD. both make the opposite know their feelings34. The example in this passage proves that ___________.A. Sophie’s parents are willing to listen to herB. Sophie is very polite to her parentsC. Sophie did well in explaining her being lateD. communication is the solution to misunderstanding35. All the following statements are correct except “_______”.A. If you don’t agree with others, you’d better let them knowB. It is better to say “Hi” to others than say nothingC. If you are not able to communicate, walk awayD. Communication is a two-way deal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。
