导读： 一模材料+前黄高级中学+试卷 江苏省前黄高级中学2013届高三数学模拟考试 一、填空题（每题5分，共计70分） 1．已知集合M11，...
一模材料+前黄高级中学+试卷
江苏省前黄高级中学2013届高三数学模拟考试
一、填空题（每题5分，共计70分）
1．已知集合M11，，Nx
122x14，xZ
，则MN． 2．已知a,bR，若abi(1i)i3
（其中i为虚数单位），则ab .
3．为了解今年某校高三毕业班准备报考飞行员学生的体重（单位：kg）情况，将所得的数据整理后，画出了频率分布直方图（如图），已知图中从左到右的前3个小组的频率之比为1:2:3，其中第一小组的频数为6，则该校报考飞行员的总人数为 .
4．已知a,b?{1,1,2}，则直线ax+by-3=0(a2+b2 0)与圆
x2+y2=4有公共点的概率是:x2y2
5．已知双曲线a2b21(a0,b0)的离心率为2,过双曲线的左
焦点F作圆O:x2y2a
2
的两条切线，切点分别为A、B,则AFB6．正四面体ABCD中，AO⊥平面BCD，垂足为O，设M是线段AO上一点，且BMC是直角，则AM
MO
的值为 . 7．
已知cos(+
4
）=
10（02
），
则sin(23) . 8．右图给出了一个程序框图，其作用是输入x的值，输出相应的y值．若要使输入的x值与输出的y值相
等，则这样的x值有 个
9．在RtABC中，C90，AC4,BC2，D是BC的中点，E是AB的中点，P是ABC（包uuuADruuEPr
括边界）内任一点．则的取值范围是___________.
10．已知函数f(x)|ex
a
ex
|,(aR,e是自然对数底数），在区间[0,1]上单调递增，则a的取值范围是．已知椭圆x2y2
11a2b
21(ab0)，F1,F2是左右焦点，l是右准线，若椭圆上存在点P，使|PF1|是
P到直线l的距离的2倍，则椭圆离心率的取值范围是_______．
12．若不等式组|x||y|2
2k(x1)
表示的平面区域是三角形，则实数k的取值范围是 .
y13．若曲线ysinx，x(,)在点P
处的切线平行于曲线yx
3
1)在点Q处的切线，则PQ的
斜率为 .
14．数列{an,n2k1n}满足an
，其中a,n2k
kN
，设f(n)a1a2
a2n1a2n，则
kf(201)3f(201)等于2.
二、解答题（本大题共6小题，共90分．解答时应写出文字说明、证明过程或演算步骤） 15．（本题14分）已知函数f(x)sinx(0)在区间[0,
3]上单调递增,在区间[2
3,3
]上单调递减; 如图,四边形OACB中,a,b,c为△ABC的内角A，B，C的对边，且满足
4
sinBsinC
cosBcosC
sinAcosA
. （1）证明：bc2a；
（2）若bc，设AOB，(0),OA2OB2，求四边形OACB面积的最大值
.
16．（本题14分）如图，在四棱锥PABCD中，AB∥DC，DC2AB，APAD，PB⊥AC，BD⊥AC，
E为PD的中点．求证：
（1）AE∥平面PBC；（2）PD⊥平面ACE．
2015江苏省前黄高级中学高三物理综合卷
2015届省前中高三学情检测（10）
物理试卷
一、单项选择题：本题共5小题，每小题3分，共15分，每小题只有一个选项符合题意，选对得3分，错选或不答得0分．
1．在科学发展进程中，许多科学家做出了卓越贡献，下列叙述符合物理学史实的是（ ） A．牛顿发现了万有引力定律，并通过实验测出了万有引力常量 B．库仑发现了库仑定律，并通过扭秤实验测出了静电力常量 C．伽利略通过实验和逻辑推理说明力是维持物体运动的原因 D．法拉第根据电流的磁效应现象得出了法拉第电磁感应定律
2．如图所示，一根粗细均匀的轻绳两端分别系在固定竖直杆上的A、B两点，在绳上C点施加一个外力F．逐渐增大F， AC、BC两段绳同时断裂，则外力F的方向与竖直方向的夹角α为（ ）
A．900 B．820 α
C．800 D．740
3．如图所示，在光滑的水平面上有一段长为L、质量分布均匀的绳子，绳子在水平
向左的恒力F作用下做匀加速直线运动．绳子上某一点到绳子右端的距离为x，设该处的张力为T，则能正确描述T与x之间的关系的图象是（ ）
4．2014年3月8日马来西亚航空公司从吉隆坡飞往北京的航班MH370失联，MH370失联后多个国家积极投入搜救行动，在搜救过程中卫星发挥了巨大的作用．其中我国的北斗导航系统和美国的GPS导航系统均参与搜救工作．北斗导航系统包含5颗地球同步卫星，而GPS导航系统由运行周期为12小时的圆轨道卫星群组成，则下列说法正确的是（ ）
A．发射人造地球卫星时，发射速度只要大于7.9km/s就可以
B．卫星向地面上同一物体拍照时，GPS卫星拍摄视角小于北斗同步卫星拍摄视角 C．北斗同步卫星的机械能一定大于GPS卫星的机械能 D．北斗同步卫星的线速度与GPS卫星的线速度之比为1
2
5．霍尔式位移传感器的测量原理如图所示，磁场方向沿x轴正方向，磁感应强度B随x的变化关系为B=B0+kx(B0、k均为大于零的常数)．薄形霍尔元件的工作面垂直于x轴，通过的电流I方向沿z轴负方向，霍尔元件沿x轴正方向以速度v匀速运动． 要使元件上、下表面产生的电势差变化得快，可以采取的方法（ ）
A．增大 I B．增大B0 C．减小k D．减小v
二、多项选择题：本题共4小题，每小题4分，共16分，每小题有多个选项符合题意，全选对的得4分，漏选得2分，错选或不选的得0分．
6．如图所示，一滑块从底端冲上固定的足够长粗糙斜面，到达某一高度后返回．下列各图分别表示滑块在斜面上运动的位移s、速度v、加速度a、机械能E随时间变化的图像，可能正确的是（ ）
7．由于天气原因断电，某小区启动了临时供电系统，它由备用发电机和副线圈匝数可调的变压器组成，如图所示，图中R0表示输电线的电阻．滑动触头P置于某处时，用户的用电器恰好正常工作．在下列情况下，要保证用电器仍能正常工作，则（ ）
A．当发电机输出的电压发生波动使V1示数小于正常值，用电器不变时，应使滑动触头P向上滑动 B．当发电机输出的电压发生波动使V1示数小于正常值，用电器不变时，应使滑动触头P向下滑动
C．如果V1示数保持正常值不变，那么当用电器增加时，滑动触头P应向上滑
D．如果V1示数保持正常值不变，那么当用电器增加时，滑动触头P应向下滑
8. 如图所示，在两等量异种点电荷连线上有D、E、F三点，且DE＝EF. K、M、L分别为过D、E、F三点的等势面．一不计重力的带电粒子，从a点射入电场，运动轨迹如图中实线所示，以|Wab|表示该粒子从a点到b点电场力做功的数值，以|Wbc|表示该粒子从b点到c点电场力做功的数值，则下列说法中正确的是 （ ） A．|Wab| > |Wbc|
B．E点的场强大于F点的场强
1
江苏省前黄高级中学高三冲刺训练
江苏省前黄高级中学高三冲刺训练
阅读理解
A
Before my dad died, Christmas was a bright, enchanted time in the long, dark winters of Bathurst, New Brunswick. The cold days would sometimes start as early as late September. Finally, the lights of Christmas would start to go up, and the anticipation would build. By Christmas Eve the ordinary evergreen tree that my father dragged in the door ten days earlier took on a magical, sparkling life of its own. With its marvelous brilliance, it single-handedly pushed back the darkness of winter.
Late on Christmas Eve, when my older sister, a soloist, sang “Silent Night,” my cheeks flushed with pride. On Christmas morning I was always the first one up. I’d stumble out of bed and walk down the hall toward the glow from the living room. My eyes filled with sleep, I’d softly bounce off the walls a couple of times trying to keep a straight line. I’d round the corner and come face-to-face with the brilliance of Christmas. My unfocused, sleep-filled eyes created a halo around each light, amplifying and warming it. After a moment or two I’d rub my eyes and an endless expanse of ribbons and bows and a free-for-all of bright presents would come into focus.
I’ll never forget the feeling of that first glimpse on Christmas morning. After a few minutes alone with the magic, I’d get my younger brother and sister, and we’d wake my parents.
On Christmas morning, as usual, I was the first one up. But this year, something was different. Without my dad to make sure the lights on the tree were glowing, I could see the tree. I could see the presents. I could even see a little bit of the outside world through the window. The magic of my childhood Christmas dream was shattered.
The years passed. Eventually, I fell in love and married, and our son’s first Christmas was the best one I’d had in twenty years. As he got older, Christmas got even better. By the time his sister arrived, we had a few family traditions of our own. With two kids, Christmas became a great time of year. It was fun getting ready for it, fun watching the children’s excitement and most especially, fun spending Christmas day with my family.
On Christmas Eve I continued the tradition started by my dad and left the tree lights on for that one night, so that in the morning, my kids could have that wonderful experience.
When my son was nine years old, the same age I was when my father died, I fell asleep Christmas Eve in the recliner watching midnight mass on TV. The choir was singing beautifully, and the last thing I remember was wishing to hear my sister sing “Silent Night” again.
Seeing him like that reminded me of myself so many years ago, and I knew. I knew how much my father must have loved me in exactly the same complete way I loved my son. I knew he had felt the same mixture of pride, joy and limitless love for me.
Through my tears the tree lights radiated a brilliant, warm glow. Soft, shimmering yellows, greens, reds and blues enveloped my son and me. My father’s death had stolen the lights and life out of Christmas. By loving my own son as much as my father had loved me, I could once more see the lights of Christmas. From that day forward, all the magic and joy of Christmas was mine again. 1. What can we know from the last sentence in paragraph 1?
A. She missed her father very much.
B. The darkness time in winter was shortened.
C. Her father’s affection for her would never be forgotten.
D. The lights of the Christmas tree gave her much warmth and comfort.
2. On Christmas morning, the writer was always the first one to wake up because _______.
A. her parents asked her to do so. B. she couldn’t continue her sleep.
C. she wanted to appreciate Christmas trees. D. she was curious to know her Christmas gifts.
3. What shattered the magic of the author’s childhood Christmas dream?
A. The cold winter days. B. Her father’s death. C. The family tradition. D. The mixture of pride, joy and love. 4. The purpose of this passage is to show that _______.
A. parents’ love for children is unselfish B. to love and to be loved is a great thing C. the author couldn’t forget her father’s love D. the author can always have a happy Christmas
