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1河南省义马市高级中学 2015-2016 学年高二数学 4 月月考试题 理(无答案)一选择题1.设复数 ,若 ,则 的概率为(c)(1)zxyi(,)R|1zyxA. B. C. D.3424222 k 棱柱有 f(k)个对角面,则 k+1 棱柱的对角面个数 f(k+1)为( A )A. f(k)+ k-1 B. f(k)+ k+1 C. f(k)+ k D. f(k)+ k-23 设函数 是奇函数 的导函数, ,当 x 0 时,x )xR10f,则使得函数 成立的 x 的取值范围是()0xff(0fA. ,1)(,B. (1,0),)4 通过随机询问 110 名性别不同的大学生是否爱好某项运动,得到如下的列联表:由 算得,观测值)()(22 dbcadbanK.8750603412k附表:参照附表,得到的正确结论是A.有 99%以上的把握认为“爱好该项运动与性别有关”B.有 99%以上的把握认为“爱好该项运动与性别无关”C.在犯错误的概率不超过 0.1%的前提下,认为“爱好该项运动与性别有关”D.在犯错误的概率不超过 0.1%的前提下,认为“爱好该项运动与性别有无关”5 产品的广告费用 与销售额 的统计数据如下表.根据表格可得回归方程xy中的 为 9.4,据此模型预报广告费用为 6 万元时的销售额为abyA.63.6 万元 B.65.5 万元C.67.7 万元 D.72.0 万元6 已知函数 ,令2015sin)(xexf,则 = )(,)(,21 xffff nn  )(2016xf( )A. B. C. D.xi xecosesi xecos男 女 总计爱好 40 20 60不爱好 20 30 50总计 60 50 110)(02kKP0.050 0.010 0.0013.841 6.635 10.828广告费用 (万元) 4 2 3 5销售额 (万元)y49 26 39 5427 已知函数 的图像上任一点 处的切线方程为)(xfy),(0yx,那么函数 的单调减 区间是 )12000 (f( )A.[-1,+∞) B.(-∞,2] C.(-∞,-1)和(1,2) D.[2,+∞)8 函数 的图象大致是 ( )sinxy9 非零复数 z1,z2满足 则 u ( )A.u0 C.u=0 D.以上都可能10 的展开式中, 的系数为( )25()xy52xy(A) 10 (B)20 (C)30 (D)6011 如图,将一个各面都涂了油漆的正方体,切割成 125 个同样大小的小正方体.经过搅拌后,从中随机取出一个小正方体,记它的涂油漆面数为 ,则 的均值为 ( )XEXA. B. C. D.12656516825712 设函数 = ,其中 a 1,若存在唯一的整数 ,()fx21)ex0x使得 0, 则 的取值范围是( )a(A)[- ,1) (B)[- , ) (C)[ , ) (D)[ ,1)32e32e432e432e二填空题13 已知不等式 1- q0,经过五次操作后扩充得到的数为( q+1) m(p+1) n-1( m, n 为正整数),则 m+ n=________.315 某个部件由三个元件按下图方式连接而成,元件 1 或元件 2 正常工作,且元件 3 正常工作,则部件正常工作,设三个电子元件的使用寿命(单位:小时)均服从正态分布,且各个元件能否正常相互独立,那么该部件的使用寿命超过 1000 小时的2(10,5)N概率为 16 某艺校在一天的 6 节课中随机安排语文、数学、外语三门文化课和其他三门艺术课个 1 节,则在课表上的相邻两节文化课之间最多间隔 1节艺术课的概率为 (用数字作答).三解答题17 在复平面内,⊿ AOB 中, O 是原点,点 A,B 对应的复数分别为 z1,z2, 且 z1,z2满足以下条件:(1) ,(2) ;求⊿ AOB 面积的最大值和最小值。18 某厂用鲜牛奶在某台设备上生产 两种奶制品.生产 1 吨 产品需鲜牛奶 2 吨,使用,ABA设备 1 小时,获利 1000 元;生产 1 吨 产品需鲜牛奶 1.5 吨,使 用设备 1.5 小时,获利1200 元.要求每天 产品的产量不超过 产品产量的 2 倍,设备每天生产 两种产品时B ,B间之和不超过 12 小时. 假定每天可获取 的鲜牛奶数量 W(单位:吨)是一个随机变量,其分布列为W 12 15 18P 0.3 0.5 0.2该厂每天根据获取的鲜牛奶数量安排生产,使其获利最大,因此每天的最大获利(单位:元)是一个随机变量.Z(Ⅰ)求 的分布列和均值;(Ⅱ) 若每天可获取的鲜牛奶数量相互独立,求 3 天中至少有 1 天的最大获利超过410000 元的概率.19 已知△ ABC 的三条边分别为 a, b, c.用 分析法证明: .ab1+ ab a+ b1+ a+ b20 已知数列 满足: ,且 .{}n1=11429()nnnaN*+-=Î⑴求 ;⑵由⑴猜想 的通项公式 ;⑶用数学归纳法证明⑵的结果.234,a{}a21 心理学家发现视觉和空间能力与性别有关,某数学兴趣小组为了验证这个结论,从兴趣小组中按分层抽样的方法抽取 50 名同学 (男 30 女 20) , 给所有同学几何题和代数题各一题,让各位同学自由选择一道题进行解答.选题情况如下表:(单位 :人)(I)能否据此判断有 97.5%的把握认为视觉和空间能力与性别有关?(II)经过 多次测试后,女生甲每次解答一道几何题所用的时间在 5—7 分钟,女生乙每次解答一道几何题所用的时间在 6—8 分钟,现甲、乙各解同一道几何题,求乙比甲先解答完的概率.(III)现从选择做几何题的 8 名女生中任意抽取两人对她们的答题情况进行全程研究,记甲、 乙两女生被 抽到的人数为 X, 求 的分布列及数学期望 EX.附表及公式且 .nN22.已知 , .xaxef2)(R(1)当 时,求函数 的单调区间;a()f(2)若对 时,恒有 成立,求实数 的取值范围.12aexa1河南省义马市高级中学 2015-2016 学年高二数学 4 月月考试题 文参考公式: 线性回归方程系数:临界值表:2KdcbandbcabdnK中22一、选择题(本题共 12 个小题,每小题 5 分,共 60 分.)1.已知复数 z1=3+4i, z2= t+i,且 z1· 是实数,则实数 t 等于z2( ).A. B. 34 43C.- D.-43 342. 已知 x 与 y 之间的一组数据:x 0 1 2 3y 1 3 5 7则 y 与 x 的线性回归方程为 y=bx+a 必过( )A.(2,2)点 B.(1.5,0)点 C.(1,2)点 D.(1.5,4)点3. 给出演绎推理的“三段论”:直线平行于平面,则平行于平面内所有的直线;(大前提)已知直线 b∥平面 α ,直线 a⊂平面 α ;(小前提)则直线 b∥直线 a.(结论)那么这个推理是( )A.大前提错误 B.小前提错误 C.推理形式错误 D.非以上错误4.执行如图所示的程序框图,则输出的 S 值为( )10.827.896.355.0243.8412.7062.0721.320.780.45k 0.10.50.100.250.50.10.150.250.40.52P2A. 3 B. 6 C. 7 D. 105.设复数 z1=2﹣i,z 2=1﹣3i ,则复数 + 的虚部等于( )A. 1 B. ﹣1 C. D. ﹣6.定义 A*B,B*C,C*D,D*A 的运算分别对应下图中的(1) , (2) , (3) , (4) ,那么,图中A,B 可能是下列( )的运算的结果.A. B*D,A*D B. B*D,A*C C. B*C,A*D D. C*D,A*D7.某公司要在某一规划区域内筹建工厂,拆迁与工程设计可同时进行,如果 工程设计分为土建设计与设备采购两个部分,两者可同时进行;拆迁和土建设计进行完才能进行厂房建设,厂房建设和设备采购进行完才能进行设备安装调试,最后才能进行试生产.上述过程的工序流程图如图.则设备采购,厂房建设,土建设计,设备安装与图中①②③④处正确的对应次序应为( )A. ①②③④ B. ①④②③ C. ②③①④ D. ①③②④8.工人月工资 y(元)依劳动生产率 x(千元)变化的回归方程为 =50+60x,y^ 3下列判断正确的是 ( ).A.劳动生产率为 1 000 元时,工资为 110 元B.劳动生产率提高 1 000 元,则工资提高 60 元C.劳动生产率提高 1 000 元,则工资提高 110 元D.当月工资为 210 元时,劳动生产率为 1 500 元9.设两个变量 x和 y之间具有线性相关关系,它们的相关系数是 r, y关于 x的回归直线的斜率是 b,纵截距是 a,那么必有( )A. 与 r的符号相同 B. a与 r的符号相同C. 与 的符号相反 D. 与 的符号相反10、 否定:“自然数 a, b, c 中恰有一个偶数”时正确的反设为( )A.a,b,c 都是偶数 B.a,b,c 都是奇数C.a,b,c 中至少有两个偶数 D.a,b,c 中都是奇数或至少有两个偶数11.定义运算 ,则符合条件 的复数 对应的点在d, 012iz,, zA.第一象限 B.第二象限 C.第三象限 D.第四象限12.对于任意的两个实数对 (,)ab和 ,cd,规定: (,),abcd,当且仅当 ,acbd;运算“ ”为: (,))c;运算“ ”为 :(,),abcda,设 ,pqR,若 (1,2,5,0pq,则 (1,2),pqA. 40 B. (20) C. 0) D. 4二、填空题(本题共 4 小题,每小题 5 分,共 20 分)13.小明晚上放学回家要做如下事情:复习功课用 30 分钟,休息用 30 分钟,烧水用 15 分钟,做作业用 25 分钟,要完成这些事情,小明要花费的最少时间为________分钟.14.对于一组数据的两个函数模型,其残差平方和分别为 152.6 和 169.8,若从中选取一个拟合程度较好的函数模型,应选残差平方和为_______的那个。15.已知点 A(x1, x ), B(x2, x )是抛物线 y= x2上任意不同的两点,线段 AB 总是位于21 2A, B 两点之间函数图象的上方,因此有结论 2成立,运用类比的方法可知,x21+ x22 (x1+ x22 )若点 A(x1,sin x1), B(x2,sin x2)是函数 y=sin x(x∈(0,π))图象上不同的两点,则类似地有结论________________.16、若 有以下不等式: ,Ra,,4321由此推测成立的不等式是 . (要注明成立的条件) 三、解答题(17—21 每题 12 分,22,、23 选做一题 10 分,共 70 分)417.(12 分)见答题卡18、(12 分)下表提供了某厂节能降耗技术改造后生产甲产品过程中记录的产量 (吨)与相应的生产能耗 (吨标准煤)的几组对照数据:xyx3 4 5 62.5 3 4 4.5(1)请画出上表数据的散点图;(2)请根据上表提供的数据,用最小二乘法求出 关于 的线性回归方程 ; yxˆybxa(3)已知该厂技改前100吨甲产品的生产能耗为90吨标准煤。试根据(2)求出的线性回归方程,预测生产100吨甲产品的生产能耗比技改前降低多少吨标准煤?19.(12 分)见答题卡20. ( 12 分)某市调研后对甲、乙两个文科班的数学考试成绩进行分析,规定:大于 120分为优秀,120 分以下为非优秀,统计成绩后,得到如下的 列联表,且已知在甲、乙2两个文科班全部 110 人中随机抽取 1 人为优秀的概率为 .31(1)请完成上面的列联表;(2)根据列联表 的数据,若按 的可靠性要求,9%能否认为“成绩与班级有关系” ;(3)若按下面的方法从甲方班优秀的学生中抽取一人:把甲班优秀的 10 名学生从 2 到 11进行编号,先后两次掷一枚均匀的骰子,出现点数之和为被抽取人的序号.试求抽到 9 号或 10 号的概率.21、(12 分) 见答题卡 22.(10 分) 见 答题卡 23、(10 分) 见答题卡2015-2016 学年上学期月考高二(文科)数学答题卷一、 选择题(本大题共 12 小题,每小题 5 分,满分 60 分)1 2 3 4 5 6 7 8 9 10 11 12二、填空题(本大题共 4 小题,每小题 5 分,满分 20 分.)13、 14、 15、 16、 学校_____________班级_________________姓名__________________考场号 座位号_________----------------------------------------装------------------------------------------------订----------------------------------------------------线-----------------------------------------------------------------5三、解答题(本大题共 6 小题,满分 70 分)17、(12 分)已知复数 满足 ,其中 为虚数单1z iazizi 2,51)( i位, 若 ,求 的取值范围。,Ra2a618、 (12分)见试卷19.(12 分已知 均为实数且 ,cba, 62,32,2xzczybxa求证: 中至少有一个大于 0 。,座号----------------------------------------装------------------------------------------------订----------------------------------------------------线-----------------------------------------------------------------720、 (12 分)见试卷21、 (12 分)已知数列 的前 项和为 且na ,32,1aSn ),2(aS1nn(1)计算 并猜想 的表达式,,4321Sn(2)用数学归纳法证明 的表达式822.(10 分)在平面直角坐标系中, 以坐标原点为极点, x 轴的非负半轴为极轴建立极坐标系.已知点 A 的极坐标为( , ),直线 l 的极坐标方程为 ρ cos(θ - )= a,且点 A 在2π 4 π 4直线 l 上.(1)求 a 的值及直线 l 的直角坐标方程;(2)圆 C 的参数方程为Error!( α 为参数),试判断直线 l 与圆 C 的位置关系.23、(10 分)已知函数 .mxxf21)((1)当 时,求 的解集;5m0(2)若关于 的不等式 的解集是 ,求 的取值范围.fR92015--2016 义马高中高二下学期(文科)数学月考试卷 4.211、A 2、D 3、A 4、D 5、 A 6、B 7、D 8、B 9、A 10、D 11、A 12、C8、解析 由回归系数的意义知,当 b>0 时,自变量和 因变量按同向变化;当 b<0 时,自变量和因变量按反向变化.答案 B13、休息时可以烧水,故最少时间为 30+30+25=85(分钟).14、152.6 15、解析 由 y=sin x(x∈(0,π))的图象知,线段 AB 总是位于 A, B 两点之间函数图象的下方,因此有结论 5,不等式的解集是以下三个不等式组解集的并集:Error!或Error!或Error!解得函数 f(x)的定义域为(-∞,-2)∪(3,+∞).(2)不等式 f(x)≥2 即| x+1|+| x-2| m+2,∵ x∈R 时,恒有| x+1|+| x-2|≥ |(x+1)-( x-2)|=3,不等式| x+1|+| x-2|≥ m+2 解集是 R,∴ m+2≤3, m 的取值范围是(-∞,1].1河南省义马市高级中学 2015-2016 学年高二物理 4 月月考试题一、选择题(共 10 小题,每小题 4 分,共 40 分,在每小题给出的四个选项中,第 1~6 小题只有一个选项符合题目要求,第 7~10 小题有多个选项符合题目要求,全部选对的得 4 分,选不全的得 2 分,有选错或不答的得 0 分)1.下面是历史上的几个著名实验的装置图,其中发现电子的装置是2.关于核反应方程 H+ H→ He+X,以下说法中正确的是21 31 42A.X 是 n,该核反应属于聚变10B.X 是 H,该核反应属于裂变1C.X 是 n,该反应中的核燃料是当前核电站采用的核燃料10D.X 是 H,该反应中的核燃料是当前核电站采用的核燃料13. A、 B 两球之间压缩一根轻弹簧,静置于光滑水平桌面上, A、 B 两球质量分别为 2m 和 m。当用板挡住小球 A 而只释放 B 球时, B球被弹出落于距桌边水平距离 为 s的水平地面上,如图所示,问当用同样的程度压缩弹簧,取走 A 左边的挡板,将A、 B 同时释放, B 球的落地点距桌边的水平距离为A. B. s C. D. ss3 3 6s3 64.如图所示是光电管的原理图,已知当有波长为 λ 0的光照到阴极 K 时,电路中有光电流,则A.若换用波长为 λ 1(λ 1λ 0)的光照射阴极 K 时,电路一定没有光电流B.若换用波长为 λ 2(λ 2λ 0) 的光照射阴极 K 时,电路中光电流一定增大C.若将变阻器滑动头 P 从图示位置向右滑一些,仍用波长 λ 0的光照射,则电路中光电流一定增大D.若将变阻器滑动头 P 从图示位置向左滑过中心 O 点时,其他条件不变,则电路中仍可能有光电流5.氢原子的能级如图所示,下列说法不正确的是A.一个氢原子从 n=4 的激发态跃迁到基态时,有可能辐射出 6 种不同频率的光子,这时电子动能减少,原子势能减少B.已知可见光的光子能量范围约为 1.62eV-3.11eV,处于 n=3 能级的氢原子可以吸收任意频率的紫外线,并发生电离C.有一群处于 n=4 能级的氢原子,如果原子 n=2 向 n=1 跃迁所发生的光正好使某种金属材料产生光电效应,则这群氢原子发出的光谱中共有 3 条谱线能使该金属产生光电效应D.有一群处于 n=4 能级的氢原子,如果原子 n=2 向 n=1 跃迁所发出的光正好使某种金属材料产生光电2效应,从能级 n=4 向 n=1 发出的光照射该金属材料,所产生的光电子的最大初动能为 2.55eV6.一个静止在磁场中的放射性同位素原子核 P,放出一个正电子后变成原子核 Si,下列各图中近似反3015 3014映正电子和 Si 核轨迹的图是7.下列说法正确的是A.相同频率的光照射到不同的金属上,逸出功越大,出射的光电子最大初动能越小B.钍核 Th,衰变成镤核 Pa,放出一个中子,并伴随着放出 γ 光子23490 23491C.根据玻尔理论,氢原子辐射出一个光子后能量减小,核外电子运动的加速度减小D.比结合能越大表示原子核中的核子结合得越牢靠,原子核越稳定8.一弹丸在飞行到距离地面 5m 高时仅有水平速度 v=2m/s,爆炸成为甲、乙两块水平飞出, 甲、乙的质量比为 3∶1。不计质量损失,取重力加速度 g=10m/s 2。则下列图中两块弹片飞行的轨迹不可能的是9.如图所示,N 为钨板,M 为金属网,它们分别与电池两极相连,各电池的电动势 E 和极性已在图中标出,钨的逸出功为 4.5 e V, 现分别用能量不同的光子照射钨板 (各光子的能量也已在图上标出) , 那么下列图中电子不能到达金属网的 是10.核能作为一种新能源在现代社会中已不可缺少,我国在完善核电安全基础上将加大核电站建设。核泄漏中的钚(Pu)是一种具有放射性的超铀元素,它可破坏细胞基因,提高患癌症的风险。已知钚的一种同位素Pu 的半衰期为 24 100 年,其衰变方程为 Pu→X+ He+ γ ,下列有关说法正确的是23994 23994 42A.X 原子核中含有 92 质子B.100 个 Pu 经过 24 100 年后一定还剩余 50 个23994C.由于衰变时释放巨大能量,根据 E= mc2,衰变过程总质量增加D.衰变发出的 γ 射线是波长很短的光子,具有很强的穿透能力3二、填空题(共 3 小题,共 18 分。把答案直接填在横线上)11.(5 分)人类认识原子结构和开发利用原子能经历了十分曲折的过程。请按要求回答下列问题。(1)卢瑟福、玻尔、查德威克等科学家在原子结构或原子核的研究方面做出了卓越的贡献。请选择其中的两位,指出他们的主要成绩。①__________________________________。②__________________________________。(2)在贝克勒尔发现天然放射现象后,人们对放射线的性质进行了深入研究,右图为三种射线在同一磁场中的运动轨迹,请从三种射线中任选一种,写出它的名称和一种用途。________________________________________________________________________12.(6 分)如图所示,这是工业生产中大部分光电控制设备用到的光控继电器的示意图,它由电源、光电管、放电器、电磁继电器等几部分组成。(1)示意图中, a 端应是电源________极。(2)光控继电器的原理是:当光照射光电管时,________________________________________________________________________________________________________________________________________________________________________________________________________________________。(3)当用绿光照射光电管阴极 K 时,可以发生光电效应,则下列________说法正确。A.增大绿光照射强度,光电子最大初动能增大B.增大绿光照射强度,电路中光电流增大13.(7 分)如图所示为“验证碰撞中动量守恒”实验的装置示意图。(1)设小球 A 质量为 mA,小球 B 质量为 mB,为保证实验成功,必须保证mA________mB。(填“大于” , “等于”或“小于”)。小球半径________测量。(填“需要”或“不需要”)。(2)实验中小球的落点情况如图所示: P 是不放 B 球时,将 A 球从斜槽上某一高度静止释放后 A 球的落点,M、 N 分别为 A 球从同一高度静止释放到达斜槽水平端与 B 球相碰后 A、 B 球落点,现已测得 O 到 M、 P、 N 距离分别为 s1、 s2、 s3,若关系式________________________成立,则验证了 A、 B 相碰动量守恒。(3)若 A、 B 两球的质量之比为 mA∶ mB=3∶1。先使 A 球从斜槽上某一高度处由静止释放,在水 平地面的记录纸上留下落点痕迹 P,重复 10 次,得到 10 个落点。再把 B 球放在水平槽上的末端 R 处,让 A 球仍从同一高度处由静止释放,与 B 球碰撞,碰后 A、 B 球分别在记录纸上留下各自的落点痕迹,重复 10 次。 A、 B 两球在记录纸上留下的落点痕迹 如图所示,其中米尺的零点与 O 点对齐。①碰撞后 A 球的水平射程应取________cm。②本实验巧妙地利用小球飞行的水平距离表示小球的水平速度。下面的实验条件中 ,不能使小球飞行的水4平距离的大小表示水平初速度大小的是________(填选项符号)。A.使 A、 B 两小球的质量之比改变为 5∶1B.升高小球初始释放点的位置C.使 A、 B 两小球的直径之比改变为 1∶3D.升高桌面的高度,即升高 R 点距地面的高度③利用此次实验中测得的数据计算碰撞前的总动量与碰撞后的总动量的比值为________。(结果保留三位有效数字)三、论述·计算题(共 4 小题,共 42 分。解答应写出必要的文字说明、方程式和重要演算步骤,只写出最后答案不能得分,有数值计算的题,答案中必须明确写出数值和单位)14.(9 分)一群氢原子处于量子数 n=4 的能级状态,氢原子的能级图如图所示,则:(1)氢原子可能发射几种频率的光子?(2)氢原子由量子数 n=4 的能级跃迁到 n=2 的能级时辐射光子的能量是多少电子伏?(3)用(2)中的光子照射右表中几种金属,哪些金属能发生光电效应?发生光电效应时,发射光电子的最大初动能是多大?15.(10 分)一个质子和两个中子聚变为一个氚核,已知质子质量 mH=1.007 3u,中子质量 mn=1.008 7u,氚核质量 m=3.018 0u。(1)写出聚变方程;(2)释放出的核能多大?(3)平均每个核子释放的能量是多大?16.(11 分)如图所示,在光滑水平面上有一辆质量 M=8kg 的平板小车,车上有一个质量 m=1.9kg 的木块,木块距小车左端 6m(木块可视为质点),车与木块一起以 v=1m/s 的速度水平向右匀速行驶,一颗质量m0=0.1kg 的子弹以 v0=179m/s 的初速度水平向左飞来,瞬间击中木块并留在其中,最终木块刚好不从车上掉下来。求:(1)子弹射入木块后的共同速度 v1;(2)木块与平板车之间的动摩擦因数 μ 。( g=10m/s 2)金属 铯 钙 镁 钛逸出功 W/eV 1.9 2.7 3.7 4.1517.(12 分)一个静止的氮核 N 俘获了一个速度为 2.3×107m/s 的中子生成一个复核 A, A 又衰变成 B、 C147两个新核,设 B、 C 的速度方向与中子方向相同, B 的质量是中子的 11 倍,速度是 106m/s, B、 C 在同一磁场中做圆周运动的半径之比 RB∶ RC=11∶30,求:(1)C 核的速度大小;(2)根据计算判断 C 核是什么;(3)写出核反应方程。高二物理下学期第二次月考试题参考答案1. A 2. A 3. C 4. D 5. A 6. B 7. AD 8. ACD 9. AD 10. AD11. (1)卢瑟福提出了原子的核式结构模型;玻尔把量子理论引入原子模型,并成功解释了氢光谱规律;查德威克发现了中子(2)2 为 γ 射线;利用 γ 射线的贯穿本领,工业用来探伤。12. (1)正 (2)阴极 K 发射电子,电路中产生电流,经放大器放大的电流产生的磁场使铁芯 M 磁化,将衔铁 N 吸住。无光照射光电管时,电路中无电流, N 自动离开 M。 (3)B13. (1)大于 不需要(2)mAs2= mAs1+ mBs3(3)①14.45-14.50 ②C ③1.01-1.0214. (1)6 种 (2)2.5 5eV (3) 铯;0.65eV解析:(1)可发射 6 种频率的光子(2)由玻尔的跃迁规律可得光 子的能量为 E= E4- E2,代入数 据得 E=2.55eV(3)E 只大于铯的逸出功,故光子只有照射铯金属上时才能发生光电效应。根据爱因斯坦的光电效应方程可得光电子的最大初动能为 Ekm= E- W代入数据得, Ekm=0.65eV(或 1.0×10-19 J)15. 答案:(1) H+2 n→ H1 10 31(2)6.24MeV (3)2.08MeV解析:(1)聚变方程 H+2 n― → H1 10 31(2)质量亏损 Δ m= mH+2 mn- m=(1.007 3+2×1.008 7-3.018 0)u=0.006 7u释放的核能Δ E=Δ mc2=0.006 7×931.5MeV≈6.24MeV。(3)平均每个核子放出的能量为6E= = MeV=2.08MeV。Δ En 6.24316. 答案:(1) v1=8m/s (2) μ =0.54解析:(1)设子弹射入木块后的共同速度为 v1,以水平向左为正,由动量守恒有:m0v0- mv=( m+ m0)v1v1=8m/s(2)它们恰好不从小车上掉下来,则它们相对平板车滑行 s=6m 时跟小车具有共同速度 v2,则由动量守恒有(m+ m0)v1- Mv=( m+ m0+ M)v2解得 v2=0.8m/s由能量守恒定律有:μ (m+ m0)gs= + - m+ m0 v212 Mv22  m+ m0+ M v22得 μ =0.54。17. 答案:(1)3×10 6m/s (2)氦原子核 (3) N+ n― → B+ He147 10 115 42解析:氮核吸收了一个中子变成复核不稳定,发生衰变,整个过程中,中子、氮核以及两个新核组成的系统,在反应过程前后都不受外界的干扰,所以整个系统在俘获与衰变过程中动量均守恒,利用这一点,可求出C 核的速度,然后根据粒子在磁场中的运动情况就可以判断出新核的种类,写出核反应方程。氮核俘获中子到衰变成 B、 C 两个新核的过程中动量守恒mnvn= mBvB+ mCvC①根据衰变规律,可知 C 核的质量数为 14+1-11=4由此解得 vC=3×10 6m/s再由带电粒子在洛伦兹力的作用下做圆周运动的知识 R= 可得:mvBq= = = ②qBqc mBvBRCmCvCRB 11×106×304×3×106×11 52qB+ qC=7③将②③ 联立可得, qC=2,而 mC=4,则 C 核是氦原子核,核反应方程式是 N+ n― → B+ He147 10 115 421河南省义马市高级中学 2015-2016 学年高二英语 4 月月考试题第 I 卷第二部分 阅读理解(共 20 小题;每小题 2 分,满分 40 分)第一节 (共 l5 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 项中,选出最佳选项。ASome years ago, writing in my diary used to be a usual activity. I would return from school and spend the expected half hour recording the day's events, feelings, and impressions in my little blue diary. I did not really need to express my emotions by way of words, but I gained a certain satisfaction from seeing my experiences forever recorded on paper. After all, isn't accumulating memories a way of preserving the past?When I was thirteen years old, I went on a long journey on foot in a great valley, well equipped with pens, a diary, and a camera. During the trip, I was busy recording every incident, name and place I came across. I felt proud to be spending my time productively, dutifully preserving for future generations a detailed description of my travels. On my last night there, I wandered out of my tent, diary in hand. The sky was clear and lit by the glare of the moon, and the walls of the valley looked threatening behind their screen of shadows. I automatically took out my pen.At that point, I understood that nothing I wrote could ever match or replace the few seconds I allowed myself to experience the dramatic beauty of the valley. All I remembered of the previous few days were the dull characterizations I had set down in my diary.Now, I only write in my diary when I need to write down a special thought or feeling. I still love to record ideas and quotations that strike me in books, or observations that are particularly meaningful. I take pictures, but not very often only of objects I find really beautiful. I'm no longer blindly satisfied with having something to remember when I grow old. I realize that life will simply pass me by if I stay behind the camera, busy preserving the present so as to live it in the future.I don't want to wake up one day and have nothing but a pile of pictures and notes. Maybe I won't have as many exact representations of people and places; maybe I'll forget certain facts, but at least the experiences will always remain inside me. I don't live to make memories--I just live, and the memories form themselves.21. Before the age of thirteen, the author regarded keeping a diary as a way of ________.A. observing her school routine B. expressing her satisfactionC. impressing her classmates D. preserving her history22. What caused a change in the author's understanding of keeping a diary?A. A dull night on the journey. B. The beauty of the great valley.2C. A striking quotation from a book. D. Her concerns for future generations.23. What does the author put in her diary now?A. Notes and beautiful pictures. B. Special thoughts and feelings.C. Detailed accounts of daily activities. D. Descriptions of unforgettable events.24. The author comes to realize that to live a meaningful life is ________.A. to experience it B. to live the present in the futureC. to make memories D. to give accurate representations of itBResearchers around the world have been trying their hand at making better use of the huge amount of wind energy available in nature to produce clean energy. Apart from this, studies are being carried out to harness(利用) usable wind energy produced by man-made technologies.One useful source identified by Indian inventor Santosh Pradhan about two years ago is a speeding train, which produces fierce wind that can be transformed into electricity.According to Pradhan’s proposal, with a few small improvements in existing trains running in Mumbai, the largest city in India, at least 10,000 megawatts(兆瓦) of electricity could be harvested each day.Building on this principle, designers Ale Leonetti Luparinia and Qian Jiang from Yanko Design have created a device(装置) called T-Box that harnesses wind energy from speeding trains.T-Box can be placed within the railway tracks. It is half-buried underground between the concrete sleepers(水泥枕木), which does not disturb the normal train operating at all. According to Yanko, around 150 T-Boxes can be fitted along a 1,000-meter railway track.A train running at a speed of 200 kph can produce winds blowing at 15 miles a second. Based on this calculation, 150 T-Boxes can produce 2.6 KWH of electricity per day. The T-Box’s design won a silver medal in last year’s Lite-On Awards and was exhibited last summer at the Xue Xue Institute in Taipei, Taiwan Province.Though the figures look impressive, it is important to remember that the design is still at a conceptual stage and hasn’t taken into account issues such as pieces of waste material produced by the device and the efforts and costs involved in the maintenance(维护) of the device.We can expect the technology to see the light of the day only after it clears these issues. If so, rail travel, one of the greenest forms of travel, will become greener and more energy-efficient.25. What can we learn about T-Box?A. It will be fitted on the trains. B. It is based on Pradhan’s idea.3C. It can turn electricity into light. D. It was invented by an Indian scientist.26. How much electricity can be produced per day by T-Boxes along a railway track of 100km?A. 260 KWH. B. 2.6 KWH. C. 150 KWH. D.1.5 KWH.27. It can be concluded from the last two paragraphs that ______.A. T-Box has proved to be effective in harvesting windB. the maintenance of T-Box will be costlyC. there is much to do about T-BoxD. T-Box will come into use soon28. The passage is mainly written to _______.A. encourage more people to travel by trainB. explain the advantages of electricityC. tell readers how to save energy and moneyD. introduce a new invention to readersCIf you live in a big city, there are many things to drive you crazy on your daily route, and it’s not just overcrowded subway trains.Vicky Zhao is a mainlander working in Hong Kong. For her, one thing she can’t put up with is people standing on the wrong side of the escalator(自动扶梯)in subway stations. “Escalators help us move faster and save time. It isn’t a place to rest,” the 24-year-old says. “I often see tourists block the way with their suitcases or chatting on the escalators during rush hours. It annoys me to no end.”Admitting she is not the patient type, Zhao says things are much better in Hong Kong than in cities on the mainland where “stand right, walk left” signs are often ignored.The logic behind the “stand right, walk left” escalator etiquette(礼仪)seems obvious. Even though you may want to catch your breath while you’re transported up or down, you should still consider others and leave enough space for people in a hurry, so that they can run and catch the train.Many cities’ escalators, including London’s and Beijing’s, use the “stand right, walk left” system to speed up the flow of people.(Australia is an exception and you should stand on the left side instead.)But some cities discourage people from moving on escalators out of safety reasons. In Hong Kong’s subway stations there are regular announcements asking people to “stand still” on escalators. Even so, most people in this fast-paced city observe the “stand right, walk left” etiquette.But the people who stand on escalators defend themselves by telling the walkers not to be so impatient. The BBC quotes one stander as saying:“If the person is in such a rush, why not just take the stairs? Even when the escalator is packed and there’s nowhere to move, I see these same people complaining 4about not being able to pass.Whatever the escalator etiquette is in the place you live or visit, do what most people are doing and always be mindful of others: leave enough space between each other, don’t stay at the end of the escalator, and if someone is blocking your way, a simple “excuse me” is enough.29.In the second paragraph, the underlined word It refers __________.A.the author’s living in the big city of Hong KongB.being crowded on the subway trains m rush hoursC.people’s blocking the way or chat on the escalatorsD.people’s standing on the right side resting30.When on the escalator, a majority of local people in Hong Kong __________.A.stand still as the railway stations requireB.ignore the “stand right, walk left” signsC.use the stairs instead of escalatorsD.follow the “stand right, walk left” etiquette31.What can be inferred from the 6th paragraph?A.Not everyone follows the “stand right, walk left” etiquette.B.The BBC is against the “stand right, walk left” etiquette.C.People should be patient and take the stairs if possible.D.People shouldn’t complain about the crowded escalators.32.Which of the following statements is the writer’s opinion?A.People should stand right no matter where they are.B.People should do as the Romans do and consider others.C.People should do as they like on the escalators.D.People should be seriously criticized when they block the way.DTrip to Alaska National ParksThis four-day train trip, which traverses both Denali and Kenai Fjords National Parks, allows for true appreciation of Alaska’s natural beauty. The route takes in peaks and forests, including a stop at the foot of 20,320-foot-high Mount McKinley, North America’s tallest mountain. Though the train has comfortable seating and a luxurious dining car, nights are spent at off-train lodging like the Grande Denali Lodge and Hotel Alyeska in Girdwood.India Tour, Maharajas’ ExpressMaharajas’ Express is the most luxurious train in the world. Started in 2010, and limited to 88 passengers on each trip, the train features luxurious private suites with marble baths and panoramic(全景)windows. On the five-day, four-night trip, which starts and ends in Delhi, passengers make stops to visit the splendid Taj Mahal at Agra, take a tiger safari at Ranthambore National Park, and shop and watch an elephant-polo match in Jaipur.Tales of Laos Tour, Eastern & Oriental ExpressThe sister train to Europe’s Venice Simplon Orient-Express, the Eastern & 5Oriental Express offers the same level of service and comfort. What’s completely different about the Eastern, of course, is the scenery that passengers can see through the train’s large windows. Among the attractive sights on the four-day, three-night Tales of Laos Tour are green rice paddies(水稻梯田)and locals riding elephants.Cuzco to Machu Picchu Route, Hiram BinghamThe Hiram Bingham, a train operating in Peru, leads guests on a magical day trip from Cuzco to the ruins of Machu Picchu. During the three-hour trip — which covers about 50 miles — the train winds through the thick jungle, alongside the rapids of the Urubamba River and across two high mountains. Once it arrives at the city of Machu Picchu, passengers get a five-hour tour through the fascinating site before heading back to Cuzco.33. The underlined word “traverses” in Paragraph 1 probably means _______.A. leaves for B. consists of C. moves across D. arrives at34. According to this passage, the longest journey may be _______.A. Trip to Alaska National Parks B. India TourC. Tales of Laos Tour D. Cuzco to Machu Picchu Route35. The Eastern & Oriental Express is different from Europe’s Venice Simplon Orient-Express in that _______.A. it offers satisfying service B. travelers feel every relaxedC. the dining car has a good environment D. it provides a better view of the scenery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。选项中有两项为多余选项。With the summer holiday just around the corner, it seems like everybody is busy planning their vacations. Here are some tips that can help you enjoy your holiday without emptying your pocket:Travel off-seasonGo to your desired destination while the demand is low and take advantage of huge discounts. During the peak season, the hotel and flight prices increase quickly, and you’ll likely spend more of your vacation time standing in line due to the rush of tourists. 36 37 Websites can help you find discount hotel rooms. Look for places that do not charge extra for children if they use the existing bedding. Stay with the locals. If you and your family are going to stay for a longer period, renting a small apartment is a good choice.Eat like a localWhy eat at big chain restaurants when you can experience something new? 38 During your family trip, try new food where the locals eat. This will not just 6save money, but also provide you with a new and different experience. For smaller meals and snacks, avoid restaurants and try street food or other takeout. Don’t hesitate to bargainTourist- heavy places are known for overcharging for just about everything. Clothes, travel goodies, souvenirs, etc. are very expensive at these places. 39 Bargain hard to get the best price.Choose local transportation40 Instead, take buses, railways or subways, which are always cheaper. If you are planning to stay for a while, you can consider renting a car. Hiring a car is much easier than carrying your bags everywhere if you are moving around a lot.A. Save on hotels.B. Surf the Internet while traveling.C. Therefore, avoid buying anything there.D. So it’s best to find out when the off-season starts.E. Planning your meals is another way to reduce your travel costs.F. For this reason, you shouldn’t feel ashamed to ask for bargains.G .As a tourist, avoid taking taxis whenever possible, since they are expensive. 第三部分 英语知识运用(共两节,满分 45 分)第一节 完形填空(共 20 小题;每小题 l.5 分,满分 30 分)阅读下面短文,从短文后各题所给的四个选项 A、B、C 和 D 项中,选出可以填入空白处的最佳选项。Liz sighed, “You have no good reason to make me 41 Sara’s party next Friday, Mom,” she 42 . “You don’t even know her, and I think you’re very 43 . “No, I don’t know her.” said Mom. “I don’t know her 44 , either, and that’s 45 why I can’t let you go to the party. I’m not trying to 46 your fun. I’m just trying to 47 you from a possible bad influence.” She smiled at Liz, “Why don’t you invite Sara over for dinner 48 ? Then I can get to know her better.”Liz agreed to her mother’s 49 , and a few days later, Sara came for dinner. As Mom cleared the table after the dinner, she 50 hearing the giggles and chatter of the two girls in the next room.“Sara seems like a 51 girl,” said Mom after Sara had been taken home, “but I still need to meet her parents — or at least know more about them — before I can 52 you to spend the night there.”As Mom spoke, the 53 came up the house, and Liz’s dog, GG — short for Good Girl — ran to the door. She barked and growled 54 . “GG, be quiet!” 55 Liz. She turned to her mother. “Mom, what is wrong with GG? She should know the mailman.” She asked. 7“Because she has just had her 56 , she wants to be sure they’re 57 , so she doesn’t quite 58 anyone she doesn’t know really well.” Mom paused, then added, “I guess a lot of 59 are like that — and fathers, too. So please be 60 with GG — and with me — as we mother our children. Okay?”Liz looked at her mother in surprise, then slowly nodded. 41. A. attend B. hold C. miss D. enjoy42. A. promised B. insisted C. threatened D. suggested 43. A. unfair B. generous C. considerate D. aggressive
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