辽宁省瓦房店市高级中学2017届高三10月月考试题（全科）.zip

12016—2017 学年度上学期瓦房店市高级中学十月份考试高三数学（文）试题一、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．已知函数 f（x）=lg（1﹣x）的定义域为 M，函数 的定义域为 N，则 M∩N=（ ）A．{x|x＜1 且 x≠0} B．{x|x≤1 且 x≠0} C．{x|x＞1} D．{x|x≤1}2．若复数 z 满足（1﹣i）z=i，则复数 z 的模为（ ） A． B． C． D．23．若复数 z=sinθ﹣ +（cosθ﹣ ）i 是纯虚数，则 tanθ 的值为（ ）A． B．﹣ C． D．﹣4．下列函数中，在（0，+∞）内单调递增，并且是偶函数的是（ ）A．y=﹣（x﹣1） 2 B．y=cosx+1 C．y=lg|x|+2 D．y=2 x5． “x＞1”是“ ”的（ ）0)(log1xA．充分不必要条件 B．必要不充分条件 C．充要条件 D．既不充分也不必要条件6．已知两点 A（0， 2） 、B=（ 3，﹣1） ，向量 = ， =（1，m） ，若 ⊥ ，则实数 m=（ ） A．﹣1 B．1 C．﹣2 D．27．曲线 y=3lnx+x+2 在点 P0处的切线方程为 4x﹣y﹣1=0，则点 P0的坐标是（ ）A． （0，1） B． （1，﹣1） C． （1，3） D． （1，0）8．若函数 f（x）= sinx + a cosx 的图象的一条对称轴方程为 x= ，则实数 a 的一个可能的取值为（ ）A．1 B．﹣1 C．2 D．﹣29．设函数 f（x）= sinωx（ω＞0） ，将 f（x）的图象向左平移 个单位长度后，所得图象与原函数的图象重合，则 ω 的最小值为（ ） A． B．3 C．6 D．910．过点 M（2，0）作圆 x2+y2=1 的两条切线 MA，MB（A，B 为切点） ，则 • =（ ） A． B． C． D．11．在三角形 ABC 中，角 A、B、C 的对边长分别为 a，b，c，且满足 a：b：c=6：4：3，则 =（ ）A．﹣ B． C．﹣ D．﹣12．已知函数 f（x）= ，若存在实数 x1、x 2、x 3、x 4满足，x1＜x 2＜x 3＜x 4，且 f（x 1）=f（x 2）=f（x 3）=f（x 4） ，则 x1•x2•（x 3﹣2）•（x 4﹣2）的取值范围是（ ）A． （4，16） B． （0，12） C． （9，21） D． （1 5，25）二、填空题（本大题共 4 小题，每题 5 分，满分 20 分，将答案填在答题纸上）13．设函数 f（x）= ，则 f（f（﹣4） ）的值是______．14．已知直角梯形 ABCD，AD∥BC，∠BAD=90°．AD=2，BC=1，P 是腰 AB 上的动点，则 的最小值为______．15．设 θ 为第二象限角，若 ，则 sinθ + cosθ=______． 16．若关于 x 的函数 f（x）= （t≠0）的最大值为 a+1，最小值为 b+3，且 a+b = 2016，则实数 t 的值为______．三、解答题（本大题共 6 小题，共 70 分.解答应写出文字说明、证明过程或演算步骤.）17． （本小题满分 10 分）设两个向量 e1、 e2满足 |e1|＝ 2， |e2|＝ 1， e1、 e2的夹角 为 60°，若向量2 t e1＋ 7 e2与 向量 e1＋t e2的夹角为钝角，求实数 t 的取值范围．18． （本小题满分 12 分）已知向量 （x∈R）函数 f（x）=（Ⅰ）求 f（x）的最小正周期；（Ⅱ）若函数 y=f（x）的图象向右平移 个单位，再向上平移 个单位，得到函数 y= g（x）的图象，求 y= g（x）在[0， ]上的最大值．19． （本小题满分 12 分）若向量 ，其中ω＞0，记函数 ，若函数 f（x）的图象相邻两条对称轴之间的距离是 ．（Ⅰ）求 f（x）的表达式；（Ⅱ）设△ABC 三内角 A、B、C 的对应边分别为 a、b、c，若 a+b=3， ，f（C）=1，求△ABC 的面积．20． （本小题满分 12 分）△ABC 中，角 A，B，C 所对的边分别为 a，b，c，且 2 b cosC + c = 2 a．（1）求角 B 的大小；（2）若 BD 为 AC 边上的中线，cosA= ，BD = ，求△ABC 的面积．21． （本小题满分 12 分）已知 f（x）=x lnx，g（x）= x 3 + a x2﹣ x + 2．（Ⅰ）求函数 f（x）的极值；（Ⅱ）对一切的 x∈（0，+∞）时，2f（x）≤g′（x）+2 恒成立，求实数 a 的取值范围．22． （本小题满分 12 分）已知 f（x）=﹣e x + e x（e 为自然对数的底数）（Ⅰ）求函数 f（x）的最大值；（Ⅱ）设 g（x）= lnx + x2 + a x，若对任意 x1∈（0，2]，总存在 x2∈（0，2]．使得 g（x 1）＜f（x 2） ，求实数 a 的取值范围．2016—2017 学年度上学期瓦房店市高级中学十月份考试 参考答案一、选择题ABBCA BCACD AB 二、填空题 13. 4 14. 3 15. 16. 101052三、解答题17. 解答： 解： ∵ e1·e2＝ |e1|·|e2|·cos60°＝2×1× ＝1， ． ． ． ． ． ． ． ． ． ．2 分12∴ (2t e1＋ 7e2)·(e1＋ te2)＝2t e ＋7t e ＋(2t 2＋7) e1·e221 2＝8t＋7t＋2t 2＋7＝2t 2＋15t＋7.． ． ． ． ． ． ． ． ． ． ． ． ． ． ． ． ． ． ． ． ．4 分∵ 向量 2te1＋ 7e2与向量 e1＋t e2的夹角为钝角，∴ (2t e1＋ 7e2)·(e1＋t e2)0，即 2t2＋15t＋70，解得－7t－ .． ． ． ． ． ． ． ． ． ． ． ． ． ． ． ． ． ． ．6 分12当向量 2te1＋ 7e2与向量 e1＋t e2反向时，设 2te1＋ 7e2＝λ( e1＋t e2)，λ0，则 2t 2＝7t ＝－ 或 t＝ (舍)． ． ． ． ． ． ． ． ． ． ． ． ． ． ． ． ．8 分{2t＝ λ ，λ t＝ 7) 142 142故 t 的取值范围为 ∪ .． ． ． ． ． ． ． ． ． ． ． ． ． ． ． ． ． ．10 分(－ 7， －142) (－ 142， － 12)18. 解：（Ⅰ）向量 （x∈R） ，函数 f（x）= =sinxcosx﹣ cosxcos（π+x）= sin2x+ cos2x+ （cos2x+1）=sin（2x+ ）+ ，∴f（x）的最小正周期，T= =π，…………………………………….6 分（Ⅱ）∵函数 y=f（x）的图象向右平移 个单位，再向上平移 个单位，得到函数 y=g（x）的图象，∴g（x）=sin[2（x﹣ ）+ ]+ + =sin（2x﹣ ）+ ，∵x∈[0， ]，∴（2x﹣ ）∈[﹣ ， ]，∴g（x）在[0， ]上 单调递增，∴g（x） max=g（ ）= ．…………………………………………12 分19. 解：（Ⅰ）∵ ，∴ ，…由题意可知其周期为 π，故 ω=1，则 f（x）=sin（2x﹣ ） ，……………………………………………6 分（Ⅱ）由 f（C）=1，得 ，∵0＜C＜π，∴﹣ ＜2C﹣ ＜ ，∴2C﹣ = ，解得 C= ． …又∵a+b=3， ，由余弦定理得 c2=a2+b2﹣2abcos ，∴（a+b） 2﹣3ab=3，即 ab=2，由面积公式得三角形面积为 ．……….12 分20. 解：（1）∵2bcosC+c= 2a．由正弦定理可知：2sinBcosC+sinC=2sinA=2sin（B+C）=2sinBcosC+2cosBsinC，∴sinC=2cosBsinC，∴cosB= ∵B 为三角形内角，∴B= ，………… …………4 分（2）在△ABC 值，cosA= ，∴sinA= ，∴sinC=sin（A+B）=sinAcosB+cosAsinB= × + × = ，∴ = = ，……………………………………………8 分设 b=7x，c=5x，∵BD 为 AC 边上的中线，BD= ，由余弦定理，得 BD2=AB2+AD2﹣2AB•ADcosA，∴ =25x2+ ×49x2﹣2×5x× ×7x× 解得 x=1，∴b=7，c=5，∴S △ABC = bcsinA= × =10 ．……………………………………12 分21. 解：（Ⅰ）f（x）=xlnx，x＞0，f′（x）=1+lnx，令 f′（x）＞0，解得：x＞ ，令 f′（x）＜0，解得：0＜x＜ ，∴f（x）在（0， ）递减，在（ ，+∞）递增，∴f（x）的极小值是 f（ ）=﹣ ；………………………………………………6 分（Ⅱ）∵g′（x）=3x 2+2ax﹣1，由题意：3x 2+2ax﹣1+2≥2xlnx 在 x∈（0，+∞）上恒成立，即 3x2+2ax+1≥2xlnx，可得 a≥lnx﹣ x﹣ ，设 h（x）=lnx﹣ x﹣ ，则 h′（x）=﹣ ，令 h′（x）=0，得 x=1，x=﹣ （舍），当 0＜x＜1 时，h′（x）＞0，当 x＞1 时，h′（x）＜0，∴当 x=1 时，h（x）取得最大值，h（x） max=﹣2，∴a≥﹣2，即 a 的取值范围是[﹣2，+∞） ．……………………………………………………12 分22. 解：（Ⅰ）f（x）=﹣e x+ex 的导数为 f′（x）=﹣e x+e，当 x∈（﹣∞，1）时，f′（x）＞0，f（x）单调递增；当 x∈（1，+∞）时，f′（x）＜0，f（x）单调递减；故 f（x） max=f（1）=0；…………………………………………………….6 分（Ⅱ）对任意 x1∈（0，2]，总存在 x2∈（0，2]，使得 g（x 1）＜f（x 2）等价于 g（x 1）＜f（x 2） max．由（Ⅰ）可知 f（x 2） max=f（1）=0．问题转化为 g（x）＜0 在 x∈（0，2]恒成立．参变量分离得：﹣a＞ = + x，令 r（x）= + x，x∈（0，2]，r′（x）= + ，由 0＜x≤2 时，1﹣lnx＞0，得 r′（x）＞0，即 r（x）在 x1∈（0，2]上单增．故﹣a＞r（x） max=r（2）= +1．综上：a＜﹣ ﹣1，即 a 的取值范围为 （﹣∞，﹣ ﹣1） ．……………………………………………12 分12016-2017 学年度上学期瓦房店 市高级中学十月份考试高三物理试题一.选择题（共１２题，１－７为单选，８－１２为多选，每题４分共４８分）1．理想实验是科学研究中的一种重要方法，它把可靠事实与合理的推理相结合，可以深刻地揭示自然规律．以下研究中需用理想实验的是（ ）A．探究共点力的合成是否遵循平行四边形定则B．探究小球在没有受到外力作用时运动状态是否变化C．探究滑块在重物牵引下在水平木板上运动时，速度如何变化D．利用刻度尺的自由下落，测定人的反应时间2． 2007 年 10 月 24 日 18 时 05 分，我国成 功发射了“嫦娥一号”探月卫星，11 月 5 日进入月球轨道后，经历 3 次轨道调整，进入工作轨道．若该卫星在地球表面的重力为 G1，在月球表面的重力为 G2，已知地球半径为 R1，月球半径为 R2，地球表面处的重力加速度为 g，则（ ）A．月球表面处的重力加速度 g 月 为 B．月球的质量与地球的质量之比为C．卫星在月球表面轨道上做匀速圆周运动的周期 T 月 为 2πD．月球的第一宇宙速度与地球的第一宇宙速度之比为3.一辆跑车在行驶过程中的最大输出功率与速度大小的关系如图,已知该车质量为 ,在某平直路面上行驶,阻力恒为。若汽车从静止开始以恒定加速度 做匀加速运动 ,则此匀加速过程能持续的时间大约为( )A.8 B.14 C.26 D.384．如图所示，光滑斜面与水平面成 α 角 α=30 0，斜面上一根长为 l=0.30m 的轻杆，一端系住质量为 0.2kg 的小球，另 一端固定在 O 点，现将轻杆拉直至水平位置，然后给小球一沿着平板并与轻杆垂直的初速度v0=3.0m/s，g=10m/s 2，则（ ）2A． 此时小球的加速度大小为 30m/s2B．小球到达最高点时杆的弹力沿斜面向上C．若增大 v0，到达最高点时杆子对小球的弹力一定增大D．若增大 v0，到达最高点时杆子对小球的弹力可能减小5.如下图所示的装置中,重为 4 的物块,用一平行于斜面的细线拴在斜面上端的小柱上,整个装置被固定在测力计上并保持静止,斜面的倾角为 30°.如果物块与斜面间无摩擦,装置稳定以后,烧断细线,物块下滑,与稳定时比较,测力计读数( )A.增大 4 B.增大 3 C.减小 1 D.不变6．有 、 、 、 四颗地球卫星, 还未发射 ,在赤道表面上随地球一起转动, 是近地轨道卫星, 是地球同步卫星, 是高空探测卫星,它们均做匀速圆周运动,各卫星排列位置如图所示,则 ( )A. 的向心加速度等于重力加速度B. 在相同时间内转过的弧长最长C. 在 4 内转过的圆心角是D. 的运动周期有可能是 207．如图甲所示，在倾角为 30°的足够长的光滑 斜面上，有一质量为 m 的物体，受到沿斜面方向的 力F 作用，力 F 按图乙所示规律变化（图中纵坐标是 F 与 mg 的比值，力沿斜面向上为正） ．则物体运动的速度 v 随时间 t 变化的规律是下图中的（物体的初速度为零，重力加速度取 10m/s2） （ ）A． B． C． D．38．如图 1 所示，倾角为 θ 的足够长传送带以恒定的速率 v0沿逆时针方向运行．t=0 时，将质量m=1kg 的小物块（可视为质点）轻放在传送带上，物块速度随时间变化的图象如图 2 所示．设沿传送带向下为正方向，取重力加速度 g=10m/s2．则（ ）A．摩擦力的方向始终沿传送带向下B．1～2s 内，物块的加速度为 2m/s2C．传送带的倾角 θ=30°D．物体与传送带之间的动摩擦因数 μ=0.59．如图所示，不可伸缩、质量不计的细线跨过同一高度处的两个光滑定滑轮连接着质量相同的物体 A 和 B，A 套在光滑水平杆上，物体、细线、滑轮和杆都在同一竖直平面内，水平细线与杆的距离 h=0.2m．当倾斜细线与杆的夹角 θ=53°时，同时无初速释放 A、B．关于此后的过程和状态，下列判断正确的是（cos53°=0.6，sin53°=0.8，g 取 10m/s2） （ ）A．当 θ=α（53°＜α＜90°）时，A、B 的速率之比 υ A：υ B=1：cosαB．当 θ=α（53°＜α＜90°）时，A、B 的速率之比 υ A：υ B=cosα：1C．A 能获得的最大速度为 1m/sD．A 能获得的最大速度为 m/s10.如图所示,顶端附有光滑定滑轮的斜面体静止在粗糙水平面上,三条细绳结于 点。一条绳跨过定滑轮平行于斜面连接物块 ,一条绳连接小球 , 、 两物体处于静止状态,另一条绳 在外力 的作用下使夹角 ,现缓慢改变绳 的方向至 ,且保持结点 位置不变,整个装置 始终处于静止状态。下列说法正确 的是( )A.斜面对物块 的摩擦力的大小可能先减小后增大B.绳 的拉力一直增大C.地面对斜面体有向左的摩擦力D.地面对斜面体的支持力大于物块 和斜面体的重力之和411.如图所示,质量分别为 2 和 的 、 两物体用不可伸长的轻绳绕过轻质定滑轮相连,开始两物体处于同一高度,绳处于绷紧状态,轻绳足够长,不计一切摩擦.现将两物体由静止释放,在 落地之前的运动中,下列说法中正确的是(设重力加速度为 )( )A. 物体的机械能增大B. 、 组成系统的重力势能增大C.下落时间过程中, 的超重、 失重D.下落时间过程中绳子拉力大小为 4/312.如图,s-t 图像反映了甲、乙两车在同一条直道上行驶的位置随时间变化的关系,己知乙车做匀变速直线运动,其图线与 t 轴相切于 10 处,下列说法正确的是( )A.5 时两车速度相等 B.甲车的速度为 4C.乙车的加速度大小为 1.6D.乙车的 初位置在 处二、实验题（１３题每空２分，１４题每空３分共１５分）13、如图所示的一条纸带,在带上共取了 、 、 、 、 、 、 七个计数点,相邻的两个计数点之间还有四个点未画出,从每一个计数点处将纸带剪开分成六条(分别叫 、 、 、 、 、 ),将这 六条纸带由短到长紧靠但不重叠地粘在 坐标系中,得到如图所示的图形,最后将各纸带上端中心连起来,于是得到表示 关系的图象.已知打点计时器的工作频率为 50 .为表示关系,图中 轴对应物理量是时间 轴对应物理量是速度 .(1).这种实验数据处理的方法可称为 .(单选)A.类比法 B.等效替代法 C.比值法 D.控制变量法(2).若纸条 的长度为 6.0 ,则图中 为 ,5(3).若测得 段纸带的长度为 2.0 , 段纸带长度为 12.0 ,则可求出加速度的大小为 .(保留两位有效数字)14．某同学为了探究物体在斜面上运动时摩擦力与斜面倾角的关系，设计实验装置如图．长直平板一端放在水平桌面上，另一端架在一物块上．在平板上标出 A、B 两点，B 点处放置一光电门，用光电计时器记录滑块通过光电门时挡光的时间．实验步骤如下：①用游标卡尺测量滑块的挡光长度 d，用天平测量滑块的质量 m；②用直尺测量 AB 之间的距离 s，A 点到水平桌面的垂直距离 h1，B 点到水平桌面的垂直距离 h2；③将滑块从 A 点由静止释放，从光电计时器读出滑块的挡光时间；④重复步骤③数次，并求挡光时间的平均值 t；⑤利用所测数据求出摩擦力 f 和斜面倾角的余弦值 cosα；⑥多次改变斜面的倾角，重复实验步骤②③④⑤，做出 f﹣cosα 关系曲线．（1）滑块经过 B 点处的光电门时速度 v=______．（2）用测量的物理量完成下列各式（重力加速度为 g）①滑块运动时的加速度 a=______．②滑块运动时所受到的摩擦阻力 f=______．三．计算题(15 题 17 分, 16 题 20 分)15．在一次救援中，一辆汽车停在一倾角为 37°的小山坡坡底，突然司机发现在距坡底 48m 的山坡处一巨石以 8m/s 的初速度加速滚下，巨石和山坡间的动摩擦因数为 0.5，巨石到达坡底后速率不变，在水平面的运动可以近似看成加速度大小为 2m/s2的匀减速直线运动；司机发现险情后经过2s 汽车才启动起来，并以 0.5m/s2的加速度一直做匀加速直线运动（如图所示） ．求：（1）巨石到达坡底时间和速率分别是多少？（2）汽车司机能否安全脱险？616.如图所示，AC 为光滑的水平桌面，轻弹簧的一端固定在 A 端的竖直墙壁上．质量 m=1kg 的小物块将弹簧的另一端压缩到 B 点，之后由静止释放，离开弹簧后从 C 点水平飞出，恰好从 D 点以 vD=m/s 的速度沿切线方向进入竖直面内的光滑圆弧轨道 DEF（小物体与轨道间无碰撞） ．O 为圆弧轨道的圆心，E 为圆弧轨道的最低点，圆弧轨道的半径 R=1m，∠DOE=60°，∠EOF=37°．小物块运动到 F 点后，冲上足够长的斜面 FG，斜面 FG 与圆轨道相切于 F 点，小物体与斜面间的动摩擦因数μ=0.5．sin37°=0.6，cos37°=0.8，取 g=10m/s2．不计空气阻力．求：（1）弹簧最初具有的弹性势能；（2）小物块第一次到达圆弧轨道的 E 点时对圆弧轨道的压力大小；（3）判断小物块沿斜面 FG 第一次返回圆弧轨道后能否回到圆弧轨道的 D 点？若能，求解小物块回到 D 点的速度；若不能，求解经过足够长的时间后小物块通过圆弧轨道最低点 E 的速度大小．7１０月月考答案１Ｂ ２Ｃ ３Ｂ ４Ｃ ５Ｃ ６Ｂ ７Ｃ ８ ＢＤ ９ＡＣ １０ＡＣＤ １１ＡＤ １２ＢＣＤ13.答案： 1.B; 2.0.25; 3.2.0解析： 14 故答案为：（1） （2）① ②１５.（17 分） 【解答】解：（1）设巨石到达坡底时间为 t1，速率为 v1，则由牛顿第二定律：mgsinθ﹣μmgcosθ=ma 1 …①…② v 1=v0+a1t1…③ 代入数值得 t1=4s，v 1=16 m/s（2）到达水平面后，开始计时为 t2巨石减速：v 2=v1﹣a 2t2 车加速：v 车 =a 车 （t 2+2）当车和巨石速度相等时：v 2=v 车 ，解得：t 2=6s此时车的位移为 x 车 =0.5a 车 （t 2+2） 2=16m巨石的位移：x 石 =v1t2﹣ =60m所以汽车司机无法脱险．答：（1）巨石到达坡底时间为 4s，速率为 16m/s；（2）汽车不能安全脱离．１６（20 分） 【解答】解：（ 1）设小物块在 C 点的速度为 vC，则在 D 点有：v C=vDcos60°设弹簧最初具有的弹性势能为 Ep，则：E P= mvC2代入数据联立解得：E p=1.25J （2）设小物块在 E 点的速度为 vE，则从 D 到 E 的过程中有：8mgR（1﹣cos60°）= mvE2﹣ mvD2设在 E 点，圆轨道对小物块的支持力为 N，则有：N﹣mg=代入数据解得：v E=2 m/s，N=30N由牛顿第三定律可知，小物块到达圆轨道的 E 点时对圆轨道的压力为 30 N． （3）设小物体沿斜面 FG 上滑的最大距离为 x，从 E 到最大距离的过程中有：﹣mgR（1﹣cos37°）﹣（mgsin37°+μmgcos37°）x=0﹣ mvE2小物体第一次沿斜面上滑并返回 F 的 过程克服摩擦力做的功为 Wf，则Wf=2xμmgcos37° 小物体在 D 点的动能为 EKD，则：E KD= mvD2代入数据解得：x=0.8m，W f=6.4J，E KD=5J因为 EKD＜W f，故小物体不能返回 D 点． 小物体最终将在 F 点与关于过圆轨道圆心的竖直线对称的点之间做往复运动，小物体的机械能守恒，设最终在最低点的速度为 vEm，则有：mgR（1﹣cos37°）= mvEm2代入数据解得：v Em=2 m/s 答：（1）弹簧最初具有的弹性势能为 1.25J；（2）小物块第一次到达圆弧轨道的 E 点时对圆弧轨道的压力大小是 30 N；（3）小物块沿斜面 FG 第一次返回圆弧轨道后不能回到圆弧轨道的 D 点．经过足够长的时间后小物块通过圆弧轨道最低点 E 的速度大小为 2 m/s．12016-2017 学年度上学期瓦房店市高级中学十月份考试 高三英语试题第 I 卷第一部分：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）阅读下列短文，从所给的四个选项（A、B、C、D）中，选出最佳选项。并在答题卡上将该项涂黑。AIn eighth grade, I decided to try out for my school musical. I only made it through the first verse(节) before the drama teacher stopped me. It goes without saying that my Christmas song didn’t get me any role.Am I embarrassed? NO. Not just because it was ten years ago, but also because it’s such a great story to share. Why? I think the main reason is that admitting mistakes makes you easier to relate to. Interestingly enough, science confirms this theory.Researchers have conducted many studies and have concluded that when someone makes a mistake or acts in a clumsy way, they are found to be more likeable. In other words, if you’re able to do well and then you mess up, it shows your human side. This allows others to connect and relate to you, which in turn makes them like you more.Growing up, I was type of student who had to get straight A’s and the type of athlete who always had to perform at the top of the game. The problem was that my standards were so ridiculously high that I was never happy. It was only when I learned to let go and forgive myself for my mistakes that I truly felt relaxed.When one of your close friends or family members makes a mistake, are you quick to forgive and forget? Sadly, many of us often express more sympathy for others than ourselves. With each mistake coming a lesson, you will be better equipped to handle life’s challenges going forward.More importantly, if you are always worried about looking silly, you will never be able to get improved. Even if you make a fool of yourself, it isn’t the end of the world. Think about it: What’s the worst that can happen? In many cases, the reward 2often outweighs the risk.1. By writing the passage, the author wants to tell us ____.A. it is time to forgive others B. everyone may make mistakesC. it’s okay to make mistakes D. what can be done to forgive our mistakes2. What does the underlined part “this theory” probably refer to?A. A mistake makes you more likeable.B. An embarrassed person tends to act clumsily.C. people mess up in life at times.D. It’s good to share a great story with others3. According to the passage, we know the author____.A. is pleased with her hard workB. was once a person who wants things to be perfectC. was happy with her high standardD. never forgives herself for the mistakes she made4. What message is delivered in the last two paragraphs?A. Making a fool of yourself.B. Viewing mistakes as learning opportunities.C. Admitting mistakes is risky.D. People tend to feel sorry for themselves.BThe Spring Festival is supposed to be a period of time entirely for family reunion. However, as people’s enthusiasm for digital hongbao increased, the amount of the time they spend with family members during the holiday decreases. There has been widespread criticism(批评) over digital hongbao that it has alienated family reunion.“ I used to discuss programs in the Spring Festival Gala(春晚) with my family members , but this year , I hardly had the time to watch the gala because I was staring at my cellphone all the time,” said Kang , a 30 –year old radio station editor. “ I went to Karaoke with my cousins during the holiday, and I was grasping digital hongbao the whole time, even when I was singing Karaoke.”“On the last day of the holiday, I started to regret spending too much time on 3these digital hongbao. Therefore, instead of fighting for hongbao, I watched TV with my mom that night. I left home feeling sorry! I should have spent more time with my parents.”“But Kang said regret came with a sense of achievement when he managed to bring classmates together.“Next year, I will still play the game, but with less money and for a smaller amount of time,” Kang said.Dong Chenyu, a teacher from Beijing Foreign Studies University, said it unfair to blame hongbao for destroying family reunion.“When television was invented, people accused it of standing in the way of face-to-face human communication. The same accusation came up on telephone and text message services when they were first invented. The same goes with digital hongbao,” Dong said.“It does nothing but offers a new way of human communication. The rest is people’s choice. As long as no one expects to earn money from this and takes this as a means of gambling(赌博), it’s a good way to improve human connections,” Dong said.5. The underlined word “alienated” in Paragraph 1 most probably means ____.A. separated B. reserved C. encouraged D. improved6. How did Mr.Kang feel about digital hongbao according to Paragraph 2?A. He felt regretted in spending too much money.B. He had a strong preference for it.C. He was happy to spend too much of his time.D. He felt a sense of guilty in getting it.7. What can we infer from what Mr. Dong said about digital hongbao____.A. It will bring us trouble in holiday reunion.B. It will be out of fashion soon in future.C. Mr. Dong is in favor of the digital hongbao.D. Lots of people will use it to earn money.8. What’s mainly described in the passage?A. The Spring Festival is the best time for family reunion.4B. Digital Hongbao is a double-edged sword.C. People’s holiday enthusiasm has decreased.D. Digital hongbao has become a popular way to make money.CThe way we cook is important. In many countries, the two sources of heat used for cooking are natural gas and electric stoves. The World Health Organization(WHO) warns that millions of people are dying every year from indoor air pollution. The WHO finds that poor cooking, heating and lighting technologies are killing millions of people each year.Indoor air pollution results from the use of dangerous fuels and cook stoves in the home. WHO officials say nearly three billion people are unable to use clean fuels and technologies for cooking, heating and lighting. And they say more than seven million people die from exposure to indoor or outdoor air pollution each year. Of that number, the WHO says about 4.3 million people die from household air pollution given off by simple biomass(生物燃料）and coal stoves.These findings show that the home use of poisonous fuels is to blame for many of these deaths. These fuels include wood, coal, animal waste and so on. Carlos Dora is Coordinator in the WHO’ s Department of Public Health, Environmental and Social Determinants of Health. He says people should not use unprocessed coal and kerosene(煤油）fuel indoors. He says opening a window or door to let out the harmful air will not correct the situation. It will only pollute the outdoors. “New technologies and clean fuels can rid people of this problem.”The United Nations found that more than 95 percent of families in sub-Saharan Africa depend on solid fuels for cooking. It says huge populations in India, China and Latin American countries, such as Guatemala and Peru, are also at risk.Nigel Bruce is a professor of Public Health at the University of Liverpool. He says researchers are developing good stoves and other equipment to burn fuels in a more efficient way. “There are already many technologies for clean fuels available now. An effective and reasonably low-cost ethanol(酒精） stove that is made by Dometic is now 5being tested out. Another interesting development is electric induction stoves.” In India, you can buy an induction stove for about $8. And in Africa you can buy a solar lamp for less than $1.9. How is Paragraph 2 mainly developed?A. By making classifications. B. By listing numbers.C. By following time order. D. By describing a process.10. According to Carlos Dora, what is the best solution to indoor air pollution?A. People should use an effective air cleaner.B. People should open a window or door to let out the harmful air. C. People should use new technologies and clean fuels.D. People should prevent themselves from being exposed to harmful air11. What can we learn from the passage?A. Most of the deaths from indoor pollution are in developing countries.B. Burning solid fuels can help limit indoor air pollution .C. People now can buy ethanol stoves made by Dometic in India.D. There are already two technologies for clean fuels available for use.12. Which would be the best title for the passage?A. The way we cook is changing. B. Types of indoor air pollution.C. The development of electric stoves. D. Indoor air pollution kills millions each year.DThinking is something you choose to do as a fish chooses to live in water. To be human is to think. But thinking may come naturally without your knowing how you do it. Thinking about thinking is the key to critical thinking. When you think critically, you take control of your thinking processes. Otherwise, you might be controlled by the ideas of others. Indeed, critical thinking is the heart of education.The word “critical” here has a special meaning. It does not mean taking one against another view, as when someone criticizes another person for doing something wrong. The nature of critical thinking is thinking beyond the easily seen-beyond the 6pictures on TV, the untrue reports in the newspapers, and the faulty reasoning.Critical thinking is an attitude as much as an activity. If you are curious about life and desire to dig deeper into it, you are a critical thinker. If you find pleasure in deep thinking about different ideas, characters, and facts, you are a critical thinker.Activities of the mind and higher-order reasoning are processes of deep and careful consideration. They take time, and do not go hand in hand with the fast speed in today’s world: fast foods, instant coffee, and self-developed film. If you are among the people who believe that speed is a measure of intelligence, you may learn something new from a story about Albert Einstein. The first time Banesh Hoffman, a scientist, was to discuss his work with Albert Einstein, Hoffman was too nervous to speak. But Einstein immediately put Hoffman at ease by saying, “ Please go slowly. I don’t understand things quickly.”13. Critical thinking is important to us because if we do not think critically, _______.A. it will be hard for us to think naturally and fastB. we might be controlled by other people’s ideasC. we will follow the ideas of others naturallyD. we might be fooled by other people’s ideas14. If you are a critical thinker, you will ______.A. think deeply about different ideas B. trust the reports in the newspapersC. take one view against another view D. criticize other people for their mistakes15. What would be the best title for the passage?A. What is thinking B. Understanding Critical ThinkingC. Thinking Is Natural and Human D. Thinking Fast Means Intelligence 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。7Simple Ways You Can Avoid Overeating During HolidaysThe holidays are all about best purpose: early finish of shopping, mailing cards on time, and what is the most important one—surviving the year’s fat-filled feeding race. Sorry, we can’t help licking envelopes or shopping that is up to you! But we can arm you with these smart eating tips for indulging(大吃大喝) without weight gain.__16__ The worst thing you can do is stand around the table at a party and dip into the bowl . You will have no idea how much you are really eating unless you do put your choices on the plate.Calm yourself. __17__ When someone gets third or orders that second glass of wine, you can go along them naturally. Why do we eat more than we think? If you are surrounded by fast eaters, take a half glass of water between bites to slow down.Reduce those portions. Choose the smallest plate as possible. __18__ It has been tested out that whether it is popcorn or even spaghetti the bigger the plate, package or bowl is, the more you are likely to eat.__19__ Variety might be the best of life, but it is also a recipe for overeating. Researchers found that adults who were offered sandwiches with four different kinds of filling ate a second more than those who got only their favorite ones. So the advice is to pack together similar tastes.Don’t talk with your mouth full. One of the best ways to keep from employing yourself at a big family dinner is great conversation. So as Mom used to say, before you start chatting first finish chewing. When you talk and eat at the same time, you are not really paying attention to either of them.__20__A. Control your choices.B. Always pick up the special food.C. You look pretty unpleasant as well.D. Your eyes can trick the stomach.E. Get away from the table.F. Feel the taste of each bite.G. Take your seat near the slowest eater at the table.8第二部分 英语知识运用（共两节，满分 45 分）阅读下列短文，掌握其大意，然后从 21-40 题所给的选项 A、B、C 和 D 中，选出最佳选项，并在答题卡上将该项涂黑。Christmas just isn’t the same any more. When I was growing up, it was my 21 holiday. I’d get up early and run to the tree to find a dozen 22 from Santa and then spend the rest of the morning playing with toys along with my three sisters. Before long, 23 , the truth about Santa came out. Santa was dad. And dad’s salary as a 24 wasn’t growing at the same rate as inflation (通货膨胀). So over the years, a dozen gifts for each child 25 became six, then four, then two. 26 I sat in the living room in late December, home for a few weeks between semesters of college, I had one present to open.The Christmas ritual (仪式) in our family was to open gifts on Christmas Eve. We were sitting around in a circle and the unwrapping 27 continued. The ritual lasted about ten minutes. And then something 28 happened.My mother said, “There’s one more gift I want to show you.” And with her 29 , she disappeared to her bedroom. Minutes later, mom reappeared with an attractive red dress.“It’s 30 , mom,” my older sister said, breaking the silence.Through a voice choked with emotion and a smile that could 31 the universe, mom said quietly, “For the first time in 12 years, your father 32 a Christmas bonus (奖金) from school. And with the bonus, he bought this dress for me.”All eyes moved 33 dad. I’d only seen dad cry once. It was the day his father died. And now, with mom’s announcement, he was on the point of bursting into 34 once again. Suddenly, the 35 of Christmas, which I had unfortunately 36 to gifts, returned on a wave of gratitude, flooding my heart like nothing I’d ever 37 . I was overwhelmed with appreciation for dad.I’ve heard it said that the 38 thing a father can do for his children is to always show 39 for their mother. Today, dad’s 40 and generosity changed me.21. A. special B. favorite C. dull D. funny922. A. toys B. shoes C. gifts D. socks 23. A. however B. therefore C. anyhow D. besides24. A. clerk B. doctor C. lawyer D. teacher25. A. actually B. naturally C. eventually D. probably26. A. As B. Since C. If D. Whether27. A. form B. task C. period D. ceremony28. A. common B. unusual C. wrong D. interesting29. A. announcement B. notice