实验高中2014年秋季学期9月考试

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湖北省浠水实验高中2014年秋高三年级期中考试数学(文)试题

湖北省浠水实验高中2014年秋高三年级期中考试数学(文)试题

湖北省浠水实验高中2014年秋高三年级期中考试数学(文)试题考试时间:2014年11月7日下午(13:30—15:30) 试卷满分:150分第I 卷(选择题 共50分)一、选择题(本大题共10小题,每小题5分,共50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、已知集合2{2,(1)}A a a =++,若1A ∈,则实数a 的取值集合为 A 、{1,0,2}--B 、{2,0}-C 、{2,1}--D 、{1,0}-2、下列命题中为假命题的是A 、,log 1(0,1)a x R x a a ∃∈=->≠B 、,tan 2014x R x ∃∈=C 、,0(0,1)x x R a a a ∀∈>>≠D 、22,0()x R x ax a a R ∀∈++>∈3、设{||1},{|(1)(5)0}A x x a B x x x =-<=-->,若A B =∅,则实数a 的取值范围是A 、{|06}a a ≤≤B 、{|24}a a a ≤≥或C 、{|06}a a a ≤≥或D 、{|24}a a ≤≤4、在ABC ∆中,已知sin 2sin 2A C =,则ABC ∆是A 、等腰三角形B 、直角三角形C 、等腰或直角三角形D 、等腰直角三角形5、21sin 352sin 20︒︒-的值为A 、12B 、12- C 、1- D 、16、在ABC ∆所在平面内有一点P ,如果2PA PC AB PB +=-,那么PBC ∆与ABC ∆面积之比为A 、34B 、12C 、13D 、237、某商店计划投入资金20万元经销甲或乙两种商品,已知经销甲、乙商品所获利润分别为P 和Q (万元),且它们与投入资金x(万元)的关系是,0)4x p Q a ==>,若不管资金如何投放,经销这两种商品或其中一种商品所获利润总不小于5万元,则a 的最小值为 A 、5BC 、3D8、设()1()()(),,f x x a x b a b m n =---< 为()y f x =的两个零点,且m n <,则,,,a b m n 的大小关系是 A 、a m n b <<< B 、m a b n <<< C 、a b m n <<< D 、m n a b <<< 9、已知函数()f x 与其导函数()f x '满足()()0f x xf x '->,则有 A 、(1)2(2)f f >B 、(1)2(2)f f <C 、2(1)(2)f f >D 、2(1)(2)f f <10、已知()|log |1||(0,af x x a a =->≠,若1234x x x x <<<,且1234()()()()f x f x f x f x ===,则12341111x x x x +++等于 A 、0B 、1C 、2D 、12第II 卷(非选择题 共100分)二、填空题(本大题共7小题,每小题5分,共35分.请将答案填在答题卡对应题号的位置,填错位置,书写不清,模凌两可均不得分.) 11、设函数20()0x x f x x x -≤⎧=⎨>⎩ ,若()4f a =,则实数a = .12、若()f x 是R 上周期为3的奇函数,且已知(1)2014f =.则(2013)(2014)(2015)f f f ++= . 13、已知函数sin()(0,0)6y A x m A πωω=++>> 的最大值为3,最小值为5-,其图象相邻两条对称轴之间的距离为2π,则A 、ω、m 的值分别为 .14、已知G 为ABC ∆为重心,a 、b 、c 分别为A ∠、B ∠、C ∠所对的边,若30aGA bGB cGC ++=,则A ∠= .15、已知扇形的周长为4cm ,面积是1cm 2,则扇形的圆心角的弧度数是 .16、如图2,2OM OA ON OB ==,若OP 满足OP xON yOM =+. (1)若P 在线段AB 上,则x y += . (2)若P 在阴影部分内(含边界)则x y +的取值范围是 .17、定义||||sin a b a b θ⊗=⋅(θ为a 与b 的夹角),给出下列命题.①a b b a ⊗=⊗; ②()()a b a b λλ⊗=⊗; ③()a b c a b a c ⊗+=⊗+⊗; ④||||a b a b a b ⊥⇔⊗=⋅; ⑤设1122(,),(,)a x y b x y ==,则1221||a b x y x y ⊗=- 其中正确的序号为 .三、解答题(本大题共5题,共65分.解答应写出文字说明、证明过程或演算步骤.)18、已知命题:p 函数2()1f x x ax =++在(1,)+∞上单调递增,命题q :函数()ag x x =在R 上是增函数.(1)若p 或q 为真命题,求a 的取值范围; (2)若p ⌝或q ⌝为真命题,求a 的取值范围.19、函数()3sin(2)6f x x π=+的部分图象如图所示.(1)写出()f x 的最小正周期及图中0x 、0y 的值; (2)求()f x 在区间[,]122ππ上的最大值和最小值.20、在ABC ∆中,已知225cos 2120sin 172B CA ++=. (1)求cos A 的值;(2)若5a b ==,求向量BA 在BC 方向上的投影.21、(1)设,x y R ∈,向量(,1),(1,),(2,4)a x b y c ===-,且,//a c b c ⊥,求||a b +和a b + 与c 的夹角;(2)设0为ABC ∆的外心,已知AB=3,AC=4,非零实数,x y 满足AO xAB yAC =+且21x y +=,则co s BAC ∠的值.22、设2()(1),()2x f x ae x g x x bx =+=++已知()f x 和()g x 在0x =处有相同的切线. (1)求(),()f x g x 的解析式;(2)求()f x 在[,1](3)t t t +>-上的最小值;(3)若对2,()()x kf x g x ∀≥-≥恒成立,求实数k 的取值范围.2014年秋高三文数期中考试试题参考答案及评分标准二、填空题11、4,2- 12、0 13、4,2,1- 14、6π15、2 16、12;1[,1]217、①④⑤ 三、解答题18、解:若命题p 为真,则有12a-≤,即2a ≥-……(2分) 若命题q 为真,则0a >……(4分)(1)若p q ∨为真,则{|2}{|0}{2}a a a a a ≥-∨>=≥-即a 的取值范围是[2,)-+∞……(6分) (2)p ⌝为真,则2a <-……(8分)q ⌝为真,则0a ≤……(10分) p q ⌝∨⌝为真时,{|2}{|0}{|0}a a a a a a <-∨≤=≤ 即a 取值范围是(,0]-∞19、解:(1)22T ππ== 03y = 05262x ππ+= 076x π=……(6分)(每对一个得2分)(2)1[,]122x π∈ 72[,]636x πππ∴+∈ 又sin y t =在[,]32ππ上单调递增在7[,]26ππ上单调递减1sin(2)126x π∴-≤+≤……(10分)因此()f x 在[,]122ππ上的值域为3[,3]2-……(12分)20、解:(1)由225cos 2120sin172B C A ++= 得 25cos 260[1cos()]17A B C +-+= 25cos 260cos 430A A ++= 225cos 30cos 90A A ++= 2(5cos 3)0A +=3cos 5A ∴=-……(6分)(2)由(1)得4sin 5A =sin sin 2A B b a ∴=⋅=a b > B A ∴∠<∠ c o s 2B ∴=……(8分) 由余弦定理2cosB ==解得:1c =或7c =c a < 1c ∴=……(11分) 故BA 在BC 上的投影为cos cos 2||BA BC c a B B a BC ⋅⋅===……(13分) 21、解(1)a c ⊥;240x ∴-=;2x =//b c ;420y ∴--=;2y =-(2,1),(1,2),(3,1)a b a b ∴==-+=-,2||3a b +=+=4分)设a b +与c 的夹角为θ,则()cos ||||10a b c a b c θ+⋅===+⋅;0θπ≤≤;4πθ∴= 即a b +与c 的夹角为4π……(7分)(2)设AC 的中点为D2AO xAB yAC xAB yAD =+=+;又21x y +=;O 、B 、D 三点共线……(12分)由O 为ABC ∆外心知,OD AC BD AC ⊥⊥在Rt ADB ∆中,AB=3,122AD AC == 2cos 3AD BAC AB ∴∠==……(14分)22、解:(1)()(2)xf x ae x '=+ ()2g x xb '=+ 依题意(0)(0)(0)(0)f g f g =⎧⎨''=⎩,即22a a b =⎧⎨=⎩ ,24a b =⎧∴⎨=⎩()2(1)x f x e x =+ 2()42g x x x =++……(4分) (2)()2(2)xf x e x '=+()f x 在(,2)-∞-上递减,在(2,)-+∞递增3t >- 12t ∴+>- ①当32t -<<-时()f x 在[,2]t -递减,在[2,1]t -+递增2min ()(2)2f x f e -=-=-②当2t ≥-时 ()f x 在[,1]t t +递增min ()()2(1)t f x f t e t ==+2min 232()2(1)2t e t f x e t t ⎧--<<-⎪∴=⎨+≥-⎪⎩ ……(9分)(3)令2()()()2(1)42x F x kf x g x ke x x x =-=+---由题意2x ≥-时()0F x ≥恒成立 (0)220F k ∴=-≥ 1k ∴≥()2(2)(1)x F x x ke '=+-2x ≥- ()F x ∴在[2,)-+∞上只可能有一个极值点1lnk①当1ln2k<-,即2k e >时()F x 在[2,)-+∞递增 2min 22()(2)()0F x F e k e∴=-=-<不合题意②当1ln 2k =-,即2k e =时min ()(2)0F x F =-=符合③当1ln 2k>-,即21k e ≤<时()F x 在1[2,ln ]k -上递减,在1[ln ,)k +∞递增min 1()(ln )ln (2ln )0F x F k k k==⋅->符合综上所述k 的取值范围是2[1,]e。

高中物理高一9月考试题

高中物理高一9月考试题

2014-2015学年度高三上学期物理学科月考试卷(9月)命题教师:王梅荣 审题教师:刘鑫一、选择题(14-18题单选,19-21题多选,每题6分,共48分)14.如图是一辆汽车做直线运动的s-t 图像,对线段OA 、AB 、BC 、C D 所表示的运动,下列说法正确的是 ( ) A .OA 段运动速度最大 B .AB 段物体做匀速运动C .CD 段的运动方向与初始运动方向相反 D .运动4h 汽车的位移大小为30km15、如图为一物体做匀变速直线运动的速度图象,根据此图象说法中不正确的是:( ) A. 物体先沿负方向运动,在t =2s 后开始沿正方向运动 B. t=2s 物体离出发点最远 C. t=4s 物体回到出发点 D. 物体始终沿正方向运动16、某物体做直线运动的v-t 图象如图甲所示,据此判断图乙F-t 图像(F 表示物体所受合力),四个选项中正确的是( )17、如图所示,质量为M 的三角形木块A 静止在水平面上。

一质量为m 的物体B 正沿A 的斜面下滑,三角形木块A 仍然保持静止。

则下列说法中正确的是 ( ) A .A 对地面的压力大小一定等于g m M )( B .水平面对A 的静摩擦力可能为零 C .水平面对A 静摩擦力方向不可能水平向左D .若B 沿A 的斜面下滑时突然受到一沿斜面向上的力F 的作用,如果力F 的大小满足一定条件,三角形木块A 可能会立刻开始滑动。

2-218、木块A 、B 分别重50 N 和60 N ,它们与水平地面之间的动摩擦因数均为0.25 ;夹在A 、B 之间的轻弹簧被压缩了2 cm ,弹簧的劲度系数为400N/m 。

系统置于水平地面上静止不动。

现用 F =1 N 的水平拉力作用在木块B 上。

如右图所示.力F 作用后 ( )A. 木块A 所受摩擦力大小是12.5 NB. 木块A 所受摩擦力大小是11.5 NC. 木块B 所受摩擦力大小是9 ND. 木块B 所受摩擦力大小是7 N19、两个质点甲与乙,同时由同一地点向同一方向做直线运动,它们的速度一时间图象如图所示.则下列说法中正确的是( ) A .第4 s 末甲、乙将会相遇 B .在第2 s 末甲、乙速度相等 C .在第4 s 末甲、乙速度相等 D .第2 s 末甲、乙将会相遇20、如图所示,质量为m 1的木块受到向右的拉力F 的作用沿质量为m 2的长木板向右滑行,长木板保持静止状态。

【名师解析】广东省中山市实验高中2014届高三11月阶段考试数学(理)试题 Word版含解析

【名师解析】广东省中山市实验高中2014届高三11月阶段考试数学(理)试题 Word版含解析

第Ⅰ卷(共40分)一、选择题:本大题共8个小题,每小题5分,共40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.设集合{}2,1,0,1,2U =--,{}1,2A =,{}2,1,2B =--,则()UAB ð等于( )A.{}1B.{}1,2C.{}2D.{}0,1,22.复数()231i i += ( )A.2B.2-C.2iD.2i -3.如图所示,该程序运行后输出的结果为 ( )A.14B.16C.18D.644.函数()1,10 cos,02 x xf xx x π+-≤<⎧⎪=⎨≤≤⎪⎩的图象与x轴所围成的封闭图形的面积为()A.32B.1C.2D.1 2考点:1.分段函数;2.定积分5.已知a b a b ==-,则a 与b 的夹角为 ( ) A.6π B.4π C.3πD.2π6.数列{}n a 的首项为3,{}n b 为等差数列且1n n n b a a +=-.若32b =-,1012b =,则8a =( )A.0B.3C.8D.11考点:累加法求数列通项7.如图所示,直线PA 垂直于⊙O 所在的平面,ABC ∆内接于⊙O ,且AB 为⊙O 的直径,点M 为线段PB 的中点.现有结论:①BC PC ⊥;②//OM 平面APC ;③点B 到平面PAC 的距离等于线段BC 的长.其中正确的是 ( )A.①②B.①②③C.①D.②③8.已知A 、B 是圆22:1O x y +=上的两个点,P 是AB 线段上的动点,当AOB ∆的面积最大时,则AO AP ⋅-2AP 的最大值是( )A.1-B.0C.81D.21 【答案】C 【解析】第Ⅱ卷(共110分)二、填空题:本大题共6小题,每小题5分,满分30分.9.某社区有600个家庭,其中高收入家庭150户,中等收入家庭360户,低收入家庭90户,为了调查购买力的某项指标,用分层抽样的方法从中抽取一个容量为80的样本,则中等收入家庭应抽取的户数是.10.一个空间几何体的三视图如右图所示,其中主视图和侧视图都是半径为1的圆,且这个几何体是球体的一部分,则这个几何体的表面积为________________.11.曲线2x y e =在点()0,1处的切线方程为________________.12.下列命题中所有真命题的序号是________________.①“a b >”是“22a b >”的充分条件;②“a b >”是“22a b >”的必要条件; ③“a b >”是“”的充要条件. 【答案】②③ 【解析】13.在ABC ∆中,120A =,5AB =,7BC =,则sin sin BC的值为______________.14.已知数列{}n a 的前n 项和为n S ,且12n n a n -=⋅,则n S =______________.三、解答题 (本大题共6小题,共80分.解答应写出文字说明、证明过程或演算步骤.)15.设()ln 4f x a x x =-+,其中a R ∈,曲线()y f x =在点()()1,1f 处的切线垂直于y 轴.(1)求a 的值;(2)求函数()f x 的极值.16.如图,在三棱锥P ABC -中,PA ⊥平面ABC ,AC BC ⊥,D 为侧棱PC 上一点,它的正(主)视图和侧(左)视图如图所示. (1)证明:AD ⊥平面PBC ;(2)在ACB ∠的平分线上确定一点Q ,使得//PQ 平面ABD ,并求此时PQ 的长.(2)取AB 的中点O ,连接CO 并延长至Q ,使得2CQ CO ,点Q 即为所求.17.已知向量13,cos 3a x ⎛⎫=- ⎪⎭,()sin ,1b x =,函数()f x a b =⋅.将函数()y f x =的图象上各点的纵坐标保持不变,横坐标先缩短到原来的12,把所得到的图象再向左平移3π个单位,得到函数()y g x =的图象. (1)求函数()f x 的单调递增区间; (2)若a b ⊥,求()y g x = 的值.试题解析:(1)()113sin cos 2sin 363f x a b x x x π⎛⎫=⋅=+-=+- ⎪⎝⎭,18.在三棱锥ABC P -4AC =,2AB =,BC =D 、E 分别为PC 、BC 的中点.(1)求三棱锥ABC P -的体积; (2)求二面角C DA E --的平面角.OB OP OP OB PB ⊥∴+=∴,222.又ABC OB AC O BO AC 面、且⊂= OP ∴⊥平面ABC ,332131=⨯⨯=-BC AB OP V ABC P法二:以O 为原点,以OP OC 、为z y 、轴建系,则)0,21,23(),49,1,0(E D ,)0,2,0(-A , 设),,1(z y =为平面DEA 的法向量,则有19.已知数列{}n a ,{}n b ,11=a ,112--+=n n n a a ,111+-+=n n n n a a a b ,n S 为数列{}n b 的前n 项和,n T 为数列{}n S 的前n 项和. (1)求数列{}n a 的通项公式; (2)求数列{}n b 的前n 项和n S ; (3)求证:312->n T n .放缩法1121112122(21)k k k k S ++-==---1111123222232k k k=-≥-⋅⋅+-,然后利用累加法即可证明所要证的不等式.20.已知函数()1x af x e-=,()2bxf x e =.(1)若()()()()122f x f x f x bf x =++-,是否存在a 、b R ∈,使()y f x =为偶函数,如果存在,请举例并证明你的结论,如果不存在,请说明理由; (2)若2a =,1b =,求()()()12g x f x f x =+在R 上的单调区间;(3)已知[)0,ln 2b ∈,[]00,1x ∃∈对[]0,1x ∀∈,,有()()1201f x f x -<成立,求a 的取值范围.综上所述:)(x g y =的增区间为[)+∞,1,减区间为()1,∞-;。

灵宝实验高中2013-2014学年度下期高二年级第一次月清地理试卷(附答案)

灵宝实验高中2013-2014学年度下期高二年级第一次月清地理试卷(附答案)

灵宝实验高中2013-2014学年度下期高二年级第一次月清试卷地理第Ⅰ卷(客观题,共60分)一、选择题(每题1.2分,共60分)下图是某地区人口数量变化图。

读图,回答1~2题。

1、该地区面临的主要人口问题是()A、人口素质低B、人口老龄化C、就业压力大D、人口增长快2、与俄罗斯相比,属于图示人口再生产类型的亚洲某国家,突出的资源环境问题是()A、大气污染B、能源短缺C、水土流失D、淡水匮乏读某地一月等温线和不同月份台风移动路径图,回答3~5题。

3、关于图示半岛一月气温分布特征叙述,正确的是()A、沿海气温低,内陆气温高B、沿海气温高,内陆气温低C、北部温差大,南部温差小D、北部等温线向南凸,南部与纬线平行4、关于“梅雨”问题的叙述,正确的是()A、梅雨也是一种灾害性天气B、东亚临海各国都受到梅雨影响C、我国东部广大地区深受梅雨影响D、长时间的低温阴雨天气即为梅雨天气5、下列对东亚台风的叙述,正确的是()A、东亚各国受台风影响的时间相同B、台风中心盛行下沉气流,属于反气旋C、4至7月台风移动路径变化方向与7月到10月相同D、台风移动路径变化方向与气压带、风带有关读印度示意图,分析回答6~8题。

6、班加罗尔是印度重要的工业中心之一,其主要的工作类型和分布组合正确的是()A、技术指向型工业—cB、技术指向型工业—bC、市场指向型工业—cD、原料指向型工业—b7、由孟买直线到加尔各答,其年降水量的变化是()A、逐渐减少B、先逐渐减少,后逐渐增加C、逐渐增加D、先逐渐增加,后逐渐减少8、图示农作物分布区的农作物是()A、小麦B、棉花C、黄麻D、水稻9、图中河流注入的水域是()A、死海B、黑海C、波斯湾D、红海10、M城所在国家的自然特点是()A、面临海洋,降水丰沛B、地势低平,植被茂盛C、冬温夏凉,四季如春D、气候干燥,沙漠广布11、N城兴起的主导区位因素是()A、沿河、沿海的位置B、丰富的石油资源C、便利的管道运输D、活跃的宗教活动2012年7月27日~6月12日,第30届夏季奥运会在英国伦敦举行。

四川省绵阳实验高中2015届高三9月月考生物试题

四川省绵阳实验高中2015届高三9月月考生物试题

绵阳实验高中2014年9月月考试题理科综合生物部分第Ⅰ卷(选择题共42分)一、单项选择题:本题共7小题,每小题6分,每小题给出的四个选项中,只有一项符合题意。

(生物选择题涂1-7题)1.关于细胞结构及生理活动,下列叙述正确的是()A.细胞核是mRNA合成和加工的场所B.高尔基体是肽链合成和加工的场所C.线粒体将葡萄糖氧化分解成CO2和H2OD.结核杆菌所需要的能量主要来自线粒体2.产生一种外膜蛋白,导致高尔基体片层结构包裹线粒体形成“自噬体”,与溶解体结合形成“自噬体酶体”如下图所示,下列说法不正确的是()A .线粒体产生的“外膜蛋白”是一种特异性受体B.内容物降解后形成的产物,可以为细胞提供营养C. 若线粒体均遭“损伤”酵母菌将无法产生ATPD.“自噬溶酶体”的形成依赖生物膜的流动性3.细胞代谢受酶的调节和控制。

下列叙述正确的是()A.激素都是通过影响细胞内酶活性来调节细胞代谢B.酶既可以作为催化剂,也可以作为另一个反应的底物C.同一个体各种体细胞酶的种类相同、数量不同,代谢不同D.对于一个细胞来说,酶的总类和数量不会发生变化4.下面I图表示细胞分裂的不同时期染色体数与核DN A数比例的变化关系,II图表示某动物处于细胞分裂不同时期的图像,有关两图的描述错误的是()A.I图中BC段形成的原因是发生了DNA分子复制,DE段形成的原因着丝点分裂B.II图中丙和丁细胞处于I图中的CD段C.II图中具有同源染色体的是甲、乙和丙细胞,乙细胞中的①和②在丙细胞时期可以自由组合,①和④是1对同源染色体D.II图中丁细胞的名称为次级精母细胞,如果丁细胞中的M为X染色体,则N是常染色体,若M的姐妹染色单体上出现等位基因,其原因一定是发生了基因突变5.下列与实验相关的叙述,错误的是()A.马铃薯块茎捣碎后的提取液可检测出蛋白质B.光学显微镜,可用于观察植物细胞的质壁分离现象C.检测酵母菌培养过程中是否产生CO2,可判断其呼吸方式D.纸层析法分离叶绿体色素的实验结果表明,叶绿b在层析液中溶解度最低6.细胞衰老和凋亡对维持个体的正常生长发育及生命活动具有重要意义。

河南省郑州市上街实验高中2023-2024学年高一上学期9月月考物理试题(原卷版+解析版)

河南省郑州市上街实验高中2023-2024学年高一上学期9月月考物理试题(原卷版+解析版)

河南省郑州市上街实验高中2023-2024学年高一上学期9月月考物理试题(原卷版+解析版)上街实验高中2023-2024学年高一上学期9月月考物理试卷一、选择题(本题共12小题,1至8题单选题,9至12题多选题,每小题5分,共60分)1. 在研究下列问题中,能够把研究对象看作质点的是()A. 研究地球的自转B. 研究地球绕太阳的公转C. 研究一列火车通过某一大桥所用的时间D. 研究乒乓球的旋转2. 火车从广州东站开往北京站,下列的计时数据指时间的是()A. 列车在16时10分由广州东站发车B. 列车于16时10分在武昌站停车C. 列车约在凌晨3点15分到达武昌站D. 列车从广州东站到北京站运行约22小时3. 关于参考系,下列说法中正确的是()A. 研究物体的运动时,不需要参考系B. 参考系必须选取地面或相对于地面静止不动的其它物体C. 研究地面上物体的运动时只能选取地面为参考系D. 描述一个物体的运动情况时,参考系可以任意选取4. 下列各组物理量中,全部是矢量的有()A. 位移、加速度、速度、平均速度B. 速度、路程、时间、平均速度C. 位移、速度、加速度、时间D. 速度、质量、加速度、路程5. 从高为5m处以某一初速度竖直向下抛出一个小球,在与地面相碰后弹起,上升到高为3m处被接住,则这一段过程中()A. 小球的位移为2m,方向竖直向下,路程为8mB. 小球位移为8m,方向竖直向上,路程为8mC. 小球的位移为2m,方向竖直向下,路程为2mD. 小球的位移为8m,方向竖直向上,路程为2m6. 短跑运动员在某次百米赛跑中测得5s末速度为9.00m/s,10s末到达终点时的速度为10.2m/s,则运动员在百米全程中的平均速度为()A. 10.20m/sB. 10.00m/sC. 9.60m/sD. 9.00m/s7. 关于速度与加速度的关系,下列说法中正确的是()A. 物体的速度改变越快,其加速度也越大B. 物体的速度越大,其加速度也越大C. 物体的速度改变量越大,其加速度也越大D. 物体的速度为零,其加速度一定为零8. 图是某物体运动的s﹣t图象,由图可知()A. 物体在0~t1时间内做匀加速直线运动B. 物体t1~t2时间内保持静止C. 物体在t2~t3时间内做匀减速直线运动D. 物体在0~t3时间内一直做匀速直线运动9. 物体做初速度为零的匀加速直线运动,已知第2s末的速度是6m/s,下列说法正确的是()A. 物体的加速度为3m/s2B. 物体的加速度为12m/s2C. 物体在第2s内的位移为6mD. 物体在前2s内的位移为6m10. 图为一物体做直线运动的速度一时间图像,根据图像,下列计算结果正确的是()A. 0~1s内位移是1mB. 0~2s内的位移是2mC. 0~1s内的加速度为零D. 1~2s内的加速度大小为0.5m/s211. 两质点甲和乙同时由同一地点沿同一方向做直线运动,其速度时间图像如图所示,则下列结论正确的是()A. 前2s内甲比乙运动的快B. 前2s内甲的平均速度小于乙的平均速度C. 第2s末,甲追上乙D. 在第2s末,甲乙两质点相距最远12. 物体做初速度为零的匀加速直线运动,已知加速度a=4m/s2,下列说法正确的是()A. 物体在第3秒内的位移为10mB. 物体在前3秒内的位移为10mC. 物体在前2s内的平均速度为4m/sD. 物体在第2s内的平均速度为4m/s二、实验题(每空4分,共16分)13. 电磁打点计时器是一种使用低压___________(填“交流”或“直流”)电源的计时仪器,其打两个点之间的时间间隔为___________s。

北京市广渠门中学2014-2015学年九年级(上)月考数学试卷(9月份)(解析版)

北京市广渠门中学2014-2015学年九年级(上)月考数学试卷(9月份)(解析版)

北京市广渠门中学2014-2015学年九年级(上)月考数学试卷(9月份)一、选择题(本题共32分,每小题4分)下面各题均有四个选项,其中只有一个是符合题意的.1.(2011•贵州模拟)2的相反数是()A.B.C.D.﹣2考点:相反数.专题:常规题型.分析:根据相反数的概念作答即可.解答:解:根据相反数的定义可知:2的相反数是﹣2.故选D.点评:主要考查相反数的定义:只有符号相反的两个数互为相反数.0的相反数是其本身.2.(2014秋•北京校级月考)根据世界贸易组织(WTO)秘书处初步统计数据,2013年中国货物进出口总额为4160000000000美元,超过美国成为世界第一货物贸易大国.将这个数据用科学记数法可以记为()美元.A. 4.16×1012B.4.16×1013C.0.416×1012D.416×1010考点:科学记数法—表示较大的数.分析:科学记数法的表示形式为a×10n的形式,其中1≤|a|<10,n为整数.确定n的值时,要看把原数变成a时,小数点移动了多少位,n的绝对值与小数点移动的位数相同.当原数绝对值>1时,n 是正数;当原数的绝对值<1时,n是负数.解答:解:4160000000000=4.16×1012.故选A.点评:此题考查科学记数法的表示方法.科学记数法的表示形式为a×10n的形式,其中1≤|a|<10,n 为整数,表示时关键要正确确定a的值以及n的值.3.(2014•成都)下列计算正确的是()A.x+x2=x3B.2x+3x=5x C.(x2)3=x5D.x6÷x3=x2考点:同底数幂的除法;合并同类项;幂的乘方与积的乘方.分析:根据同底数幂的乘法,可判断A,根据合并同类项,可判断B,根据幂的乘方,可判断C,根据同底数幂的除法,可判断D.解答:解:A、不是同底数幂的乘法,指数不能相加,故A错误;B、系数相加字母部分不变,故B正确;C、底数不变指数相乘,故C错误;D、底数不变指数相减,故D错误;故选:B.点评:本题考查了幂的运算,根据法则计算是解题关键.4.(2014•常德)如图,已知AC∥BD,∠CAE=30°,∠DBE=45°,则∠AEB等于()A.30° B.45° C.60°D. 75°考点:平行线的性质.分析:过E作EF∥AC,然后根据平行线的传递性可得EF∥BD,再根据平行线的性质可得∠B=∠2=45°,∠1=∠A=30°,进而可得∠AEB的度数.解答:解:过E作EF∥AC,∵AC∥BD,∴EF∥BD,∴∠B=∠2=45°,∵AC∥EF,∴∠1=∠A=30°,∴∠AEB=30°+45°=75°,故选:D.点评:此题主要考查了平行线的性质,关键是掌握两直线平行,内错角相等.5.(2014•北京)某篮球队12名队员的年龄如表:年龄(岁)18 19 20 21人数 5 4 1 2则这12名队员年龄的众数和平均数分别是()A.18,19 B.19,19 C.18,19.5 D. 19,19.5考点:众数;加权平均数.分析:根据众数及平均数的概念求解.解答:解:年龄为18岁的队员人数最多,众数是18;平均数==19.故选:A.点评:本题考查了众数及平均数的知识,掌握众数及平均数的定义是解题关键.6.(2014秋•莱城区校级期中)将二次函数y=x2﹣2x﹣3化为y=(x﹣h)2+k的形式,结果为()A.y=(x+1)2+4 B.y=(x+1)2+2 C.y=(x﹣1)2﹣4 D.y=(x﹣1)2+2考点:二次函数的三种形式.分析:由于二次项系数是1,所以直接加上一次项系数的一半的平方来凑完全平方式,把一般式转化为顶点式.解答:解:y=x2﹣2x﹣3=(x2﹣2x+1)﹣1﹣3=(x﹣1)2﹣4.故选C.点评:本题考查了二次函数的解析式有三种形式:(1)一般式:y=ax2+bx+c(a≠0,a、b、c为常数);(2)顶点式:y=a(x﹣h)2+k;(3)交点式(与x轴):y=a(x﹣x1)(x﹣x2).7.(2014秋•湖北期末)如图,抛物线y=ax2+bx+c(a≠0)的对称轴为直线x=.下列结论中,正确的是()A.a<0B.当x<﹣时,y随x的增大而增大C.a+b+c>0D.当x=﹣时,y的最小值是考点:二次函数图象与系数的关系;二次函数的性质.分析:根据抛物线开口方向可对A进行判断;根据当抛物线开口向上,在对称轴左侧y随x的增大而减小的性质可对B进行判断;观察函数图象得到当x=1时,y<0,则可对C进行判断;先根据对称轴方程得到a=b,再由抛物线开口向上,函数有最小值=,然后约分后即可对D进行判断.解答:解:A、抛物线开口向上,则a>0,所以A选项错误;B、抛物线开口向上,对称轴为直线x=,则x<﹣时,y随x的增大而减小,所以B选项错误;C、当x=1时,y<0,即a+b+c<0,所以C选项错误;D、对称轴为直线x=﹣=,则a=b,因为抛物线开口向上,所以函数有最小值==,所以D选项正确.点评:本题考查了二次函数的图象与系数的关系:二次函数y=ax2+bx+c(a≠0)的图象为抛物线,当a>0,抛物线开口向上;对称轴为直线x=﹣,函数有最小值;抛物线与y轴的交点坐标为(0,c);当b2﹣4ac>0,抛物线与x轴有两个交点;当b2﹣4ac=0,抛物线与x轴有一个交点;当b2﹣4ac<0,抛物线与x轴没有交点.也考查了二次函数的性质.8.(2010•江津区)如图,等腰Rt△ABC(∠ACB=90°)的直角边与正方形DEFG的边长均为2,且AC与DE在同一直线上,开始时点C与点D重合,让△ABC沿这条直线向右平移,直到点A与点E重合为止.设CD的长为x,△ABC与正方形DEFG重合部分(图中阴影部分)的面积为y,则y与x之间的函数关系的图象大致是()A.B.C.D.考点:动点问题的函数图象.专题:几何图形问题;压轴题.分析:此题可分为两段求解,即C从D点运动到E点和A从D点运动到E点,列出面积随动点变化的函数关系式即可.解答:解:设CD的长为x,△ABC与正方形DEFG重合部分(图中阴影部分)的面积为y∴当C从D点运动到E点时,即0≤x≤2时,y==.当A从D点运动到E点时,即2<x≤4时,y==∴y与x之间的函数关系由函数关系式可看出A中的函数图象与所求的分段函数对应.点评:本题考查的动点变化过程中面积的变化关系,重点是列出函数关系式,但需注意自变量的取值范围.二、填空题(本题共16分,每小题4分)9.(2014秋•紫云县校级期中)分解因式:ax2﹣9ay2=a(x+3y)(x﹣3y).考点:提公因式法与公式法的综合运用.分析:首先提公因式a,然后利用平方差公式分解即可.解答:解:原式=a(x2﹣9y2)=a(x+3y)(x﹣3y).故答案是:a(x+3y)(x﹣3y).点评:本题考查了提公因式法,公式法分解因式,提取公因式后利用完全平方公式进行二次分解,注意分解要彻底.10.(2013秋•东城区期末)请写出一个开口向上,并且与y轴交于点(0,﹣1)的抛物线的解析式y=x2﹣1(答案不唯一).考点:二次函数的性质.专题:开放型.分析:抛物线开口向上,二次项系数大于0,然后写出即可.解答:解:抛物线的解析式为y=x2﹣1.故答案为:y=x2﹣1(答案不唯一).点评:本题考查了二次函数的性质,开放型题目,答案不唯一,所写函数解析式的二次项系数一定要大于0.11.(2014秋•北京校级月考)若关于x的一元二次方程kx2﹣2x﹣1=0有两个不相等的实数根,则实数k的取值范围是k>﹣1且k≠0.考点:根的判别式;一元二次方程的定义.分析:根据一元二次方程的定义和△的意义得到k≠0且△>0,即(﹣2)2﹣4×k×(﹣1)>0,然后解不等式即可得到k的取值范围.解答:解:∵关于x的一元二次方程kx2﹣2x﹣1=0有两个不相等的实数根,∴k≠0且△>0,即(﹣2)2﹣4×k×(﹣1)>0,解得k>﹣1且k≠0.∴k的取值范围为k>﹣1且k≠0,故答案为:k>﹣1且k≠0.点评:本题考查了一元二次方程ax2+bx+c=0(a≠0)的根的判别式△=b2﹣4ac:当△>0,方程有两个不相等的实数根;当△=0,方程有两个相等的实数根;当△<0,方程没有实数根.也考查了一元二次方程的定义.12.(2013秋•昌平区校级期末)在平面直角坐标系xOy中,直线x=2和抛物线y=ax2在第一象限交于点A,过A作AB⊥x轴于点B.如果a取1,2,3,…,n时对应的△AOB的面积为S1,S2,S3,…,S n,那么S1=4;S1+S2+S3+…+S n=2n(n+1).考点:二次函数的性质.专题:规律型.分析:把a=1和x=2代入抛物线解析式求出AB的长,再根据三角形的面积公式列式计算即可得解;表示出S1,S2,S3,…,S n,然后相加,再利用求和公式列式计算即可得解.解答:解:a=1,x=2时,y1=1×22=4,△AOB的面积为S1=×2×4=4,∵S1=4,S2=×2×(2×22)=2×4,S3=×2×(3×22)=3×4,…,S n=×2×(n×22)=4n,∴S1+S2+S3+…+S n=4+2×4+3×4+…+4n=4×(1+2+3+…+n)=2n(n+1).故答案为:4,2n(n+1).点评:本题考查了二次根式的性质,主要利用了抛物线上点的坐标特征,求出点A的纵坐标并求出△AOB的面积等于4的倍数是解题的关键,也是本题的难点.三、解答题(本题共30分,每小题5分)13.(5分)(2014•北京)如图,点B在线段AD上,BC∥DE,AB=ED,BC=DB.求证:∠A=∠E.考点:全等三角形的判定与性质.专题:证明题.分析:由全等三角形的判定定理SAS证得△ABC≌△EDB,则对应角相等:∠A=∠E.解答:证明:如图,∵BC∥DE,∴∠ABC=∠BDE.在△ABC与△EDB中,∴△ABC≌△EDB(SAS),∴∠A=∠E.点评:本题考查了全等三角形的判定与性质.全等三角形的判定是结合全等三角形的性质证明线段和角相等的重要工具.在判定三角形全等时,关键是选择恰当的判定条件.14.(5分)(2014秋•北京校级月考)计算:﹣2|﹣1|+()﹣1﹣(2014)0.考点:实数的运算;零指数幂;负整数指数幂.分析:利用二次根式的性质以及绝对值和负整数指数幂的性质、零指数幂的性质化简求出即可.解答:解:﹣2|﹣1|+()﹣1﹣(2014)0=2﹣2(﹣1)+2﹣1=3.点评:此题主要考查了实数运算,正确化简各数是解题关键.15.(5分)(2014秋•北京校级月考)解不等式组,并将解集在数轴上表示出来.考点:解一元一次不等式组;在数轴上表示不等式的解集.分析:先求出每个不等式的解集,再根据找不等式组解集的规律找出不等式组的解集即可.解答:解:∵解不等式①得:x>﹣1.5,解不等式②得:x≤1,∴不等式组的解集为﹣1.5<x≤1,在数轴上表示不等式组的解集为:.点评:本题考查了解一元一次不等式组,在数轴上表示不等式组的解集的应用,解此题的关键是能根据找不等式组解集的规律找出不等式组的解集.16.(5分)(2014秋•北京校级月考)先化简,再求值:(m+)÷,其中m是方程x2+2x﹣1=0的根.考点:分式的化简求值;一元二次方程的解.分析:先化简分式,再利用方程得出m2+2m=1即可.解答:解:(m+)÷,=×,=×,=m2+2m,∵m是方程x2+2x﹣1=0的根,∴m2+2m﹣1=0,∴原式=m2+2m=1.点评:本题主要考查了分式方程的解及一元二次方程的解,解题的关键是正确的化简分式.17.(5分)(2014秋•北京校级月考)已知二次函数y=x2﹣2x﹣3(1)请求出它的顶点坐标、与坐标轴的交点坐标,并利用五点法在直角坐标系中画出示意图;(2)如果A(x1,y1),B(x2,y2)是(1)中图象上的两点,且x1<x2<1,请直接写出y1、y2的大小关系.考点:二次函数的性质;二次函数的图象;二次函数图象上点的坐标特征.分析:(1)根据顶点式求得顶点坐标,令x=0,求得与y轴的交点,令y=0,求得与x轴的坐标,再在对称轴的两侧取两组对称点,列表,然后描点、连线即可.(2)根据二次函数的性质即可求得y1、y2的大小关系.解答:解:(1)由y=x2﹣2x﹣3=(x﹣1)2﹣4可知顶点坐标为(1,﹣4),令x=0,则y=﹣3,∴与y轴交点为(0,﹣3),令y=0,则0=x2﹣2x﹣3,解得x1=﹣1,x2=3,∴与x轴交点为(﹣1,0),(3,0).列表:x …﹣1 0 1 2 3 …y=x2﹣2x﹣3 …0 ﹣3 ﹣4 ﹣3 0 …描点、连线:(2)∵二次函数y=x2﹣2x﹣3的对称轴为x=1,在对称轴的右边y随x的增大而增大,∴x1<x2<1时,y1<y2.点评:本题考查了二次函数的图象,二次函数的性质,二次函数图象上点的坐标特征,找到顶点及对称轴,根据对称轴取点是画图的关键一步.18.(5分)(2014秋•北京校级月考)列方程或方程组解应用题中秋节期间,我校“慈善小组”筹集善款600元,全部用于购买月饼到福利院送给老人.购买五仁月饼花费360元,购买枣泥月饼花费240元,已知五仁月饼比枣泥月饼每块贵5元,结果购买的五仁月饼和枣泥月饼一样多.请求出两种口味的月饼每块各多少元?考点:分式方程的应用.分析:设枣泥月饼每块x元,则五仁月饼每块(x+5)元,根据“购买五仁月饼花费360元,购买枣泥月饼花费240元,购买的五仁月饼和枣泥月饼一样多”列出方程,解方程即可.解答:解:设枣泥月饼每块x元,则五仁月饼每块(x+5)元.依题意得=,解得x=10.经检验x=10是原方程的解,答:枣泥月饼每块10元,则五仁月饼每块15元.点评:本题考查分式方程的应用,分析题意,找到合适的等量关系是解决问题的关键.四、解答题(本题共20分,每小题5分)19.(5分)(2014秋•北京校级月考)二次函数y=ax2+bx+c的图象与x轴交于点A(1,0),与y轴交于点C(0,﹣5),且经过点D(2,7).(1)求此二次函数的解析式;(2)请你写出一种平移方法,使平移后的抛物线经过原点,并写出平移后抛物线的解析式.考点:抛物线与x轴的交点;二次函数图象与几何变换.专题:计算题.分析:(1)把已知三点坐标代入抛物线求出a,b,c的值,即可确定出解析式;(2)根据平移规律确定出抛物线解析式即可.解答:解:(1)把A,C及D坐标代入抛物线解析式得:,解得:,则二次函数解析式为y=x2+4x﹣5;(2)抛物线向下平移5个单位经过原点,得到解析式为y=x2+4x.点评:此题考查了抛物线与x轴的交点,以及二次函数图象与几何变换,熟练掌握运算法则是解本题的关键.20.(5分)(2014•丰台区一模)如图,在平行四边形ABCD中,E、F分别为边AB、CD的中点,BD是对角线,过A点作AG∥DB交CB的延长线于点G.(1)求证:四边形DEBF是平行四边形;(2)如果∠G=90°,∠C=60°,BC=2,求四边形DEBF的面积.考点:平行四边形的判定与性质.分析:(1)根据平行四边形的性质得出AD∥BC,DC∥AB,DC=AB,推出DF=BE,DF∥BE,根据平行四边形的判定推出即可;(2)求出△DBC是直角三角形,求出三角形的面积,即可求出答案.解答:(1)证明:∵四边形ABCD是平行四边形,∴AD∥BC,DC∥AB,DC=AB,∵E、F分别为边AB、CD的中点,∴DF=BE,DF∥BE,∴四边形DEBF是平行四边形;(2)解:∵AG∥BD,∠G=90°,∴∠DBC=90°,∵∠C=60°,BC=2,∴DC=2BC=4,由勾股定理得:BD=2,∴△DBC的面积是BD×BC=×2×2=2,∵F为DC的中点,∴△DBF的面积是S△DBC=×2=,∵四边形DEBF是平行四边形,∴四边形DEBF的面积是2S△DBF=2..点评:本题考查了平行四边形的性质和判定,含30度角的直角三角形性质,勾股定理的应用,注意:平行四边形的对边平行且相等,题目是一道比较好的题目,难度适中.21.(5分)(2012秋•丰台区期末)小明爸爸经营的水果店出售一种优质热带水果,正在上初三的小明经过调查和计算,发现这种水果每月的销售量y(千克)与销售单价x(元)之间存在着一次函数关系:y=﹣10x+500.下面是他们的一次对话:小明:“您要是告诉我咱家这种水果的进价是多少?我就能帮你预测好多信息呢!”爸爸:“咱家这种水果的进价是每千克20元”聪明的你,也来解答一下小明想要解决的三个问题:(1)若每月获得利润w(元)是销售单价x(元)的函数,求这个函数的解析式.(2)当销售单价为多少元时,每月可获得最大利润?(3)如果想要每月从这种水果的销售中获利2000元,那么销售单价应该定为多少元?考点:二次函数的应用.专题:应用题.分析:(1)根据题意可得利润=(定价﹣进价)×销售量,从而列出关系式;(2)根据(1)式列出的方程式,运用配方法即可求最大利润;(3)令w=2000,然后解一元二次方程,从而求出销售单价.解答:解:(1)根据题意可得:w=(x﹣20)(﹣10x+500)=﹣10x2+700x﹣10000;(2)w=﹣10x2+700x﹣10000=﹣10(x﹣35)2+2250,当x=35时,每月利润最大;(3)当w=2000时,﹣10x2+700x﹣10000=2000,化简得:x2﹣70x+1200=0,解得:x1=30,x2=40.答:如果想要每月从这种水果的销售中获利2000元,那么销售单价应该定为30元或40元.点评:此题考查二次函数的应用以及抛物线的基本性质,注意仔细审题,将实际问题转化为求函数最值问题,培养自己利用数学知识解答实际问题的能力.22.(5分)(2012秋•西城区期末)阅读下面的材料:小明在学习中遇到这样一个问题:若1≤x≤m,求二次函数y=x2﹣6x+7的最大值.他画图研究后发现,x=1和x=5时的函数值相等,于是他认为需要对m进行分类讨论.他的解答过程如下:∵二次函数y=x2﹣6x+7的对称轴为直线x=3,∴由对称性可知,x=1和x=5时的函数值相等.∴若1≤m<5,则x=1时,y的最大值为2;若m≥5,则x=m时,y的最大值为m2﹣6m+7.请你参考小明的思路,解答下列问题:(1)当﹣2≤x≤4时,二次函数y=2x2+4x+1的最大值为49;(2)若p≤x≤2,求二次函数y=2x2+4x+1的最大值;(3)若t≤x≤t+2时,二次函数y=2x2+4x+1的最大值为31,则t的值为1或﹣5.考点:二次函数的最值.专题:阅读型.分析:(1)先求出抛物线的对称轴为直线x=﹣1,然后确定当x=4时取得最大值,代入函数解析式进行计算即可得解;(2)先求出抛物线的对称轴为直线x=﹣1,再根据对称性可得x=﹣4和x=2时函数值相等,然后分p≤﹣4,﹣4<p≤2讨论求解;(3)根据(2)的思路分t<﹣2,t≥﹣2时两种情况讨论求解.解答:解:(1)∵抛物线的对称轴为直线x=﹣1,∴当﹣2≤x≤4时,二次函数y=2x2+4x+1的最大值为:2×42+4×4+1=49;(2)∵二次函数y=2x2+4x+1的对称轴为直线x=﹣1,∴由对称性可知,当x=﹣4和x=2时函数值相等,∴若p≤﹣4,则当x=p时,y的最大值为2p2+4p+1,若﹣4<p≤2,则当x=2时,y的最大值为17;(3)t<﹣2时,最大值为:2t2+4t+1=31,整理得,t2+2t﹣15=0,解得t1=3(舍去),t2=﹣5,t≥﹣2时,最大值为:2(t+2)2+4(t+2)+1=31,整理得,(t+2)2+2(t+2)﹣15=0,解得t1=1,t2=﹣7(舍去),所以,t的值为1或﹣5.点评:本题考查了二次函数的最值问题,主要利用了二次函数的对称性,确定出抛物线的对称轴解析式是确定p和t的取值范围的关键,难点在于读懂题目信息.五、解答题(本题共22分,第23题7分,第24题7分,第25题8分)23.(7分)(2014秋•北京校级月考)已知关于x的方程kx2+(3k+1)x+3=0.(1)求证:无论k取任何实数时,方程总有实数根;(2)若二次函数y=kx2+(3k+1)x+3的图象与x轴两个交点的横坐标均为整数,且k为整数,求k 的值.考点:根的判别式;抛物线与x轴的交点.分析:(1)分类讨论:当k=0时,方程变形一元一次方程,有一个实数解;当k≠0时,计算判别式得到△=(3k﹣1)2,由此得到△≥0,由此判断当k≠0时,方程有两个实数根;(2)先由求根公式得到kx2+(3k+1)x+3=0(k≠0)的解为x1=﹣,x2=﹣3,则二次函数y=kx2+(3k+1)x+3的图象与x轴两个交点的横坐标分别为﹣和﹣3,然后根据整数的整除性可确定整数k的值.解答:(1)证明:当k=0时,方程变形为x+3=0,解得x=﹣3;当k≠0时,△=(3k+1)2﹣4•k•3=(3k﹣1)2,∵(3k﹣1)2≥0,∴△≥0,∴当k≠0时,方程有实数根,∴无论k取任何实数时,方程总有实数根;(2)解:kx2+(3k+1)x+3=0(k≠0)x=,x1=﹣,x2=﹣3,所以二次函数y=kx2+(3k+1)x+3的图象与x轴两个交点的横坐标分别为﹣和﹣3,根据题意得﹣为整数,所以整数k为±1.点评:本题考查了一元二次方程ax2+bx+c=0(a≠0)的根的判别式△=b2﹣4ac:当△>0,方程有两个不相等的实数根;当△=0,方程有两个相等的实数根;当△<0,方程没有实数根.也考查了抛物线与x轴的交点.24.(7分)(2009•莆田)已知:等边△ABC的边长为a.探究(1):如图1,过等边△ABC的顶点A、B、C依次作AB、BC、CA的垂线围成△MNG,求证:△MNG是等边三角形且MN=a;探究(2):在等边△ABC内取一点O,过点O分别作OD⊥AB、OE⊥BC、OF⊥CA,垂足分别为点D、E、F.①如图2,若点O是△ABC的重心,我们可利用三角形面积公式及等边三角形性质得到两个正确结论(不必证明):结论1.OD+OE+OF=a;结论2.AD+BE+CF=a;②如图3,若点O是等边△ABC内任意一点,则上述结论1,2是否仍然成立?如果成立,请给予证明;如果不成立,请说明理由.考点:等边三角形的判定与性质;解直角三角形.专题:综合题;压轴题.分析:(1)本题中△ABC为等边三角形,AB=BC=a,∠ABC=60°,求出∠N,∠G的值,在直角△AMB、△CNB中,可以先用a表示出MB,NB然后再表示出MN,这样就能证得MN=a;(2)判定①是否成立可通过构建直角三角形,把所求的线段都转化到直角三角形中进行求解;判断②是否成立,也要通过构建直角三角形,可根据勾股定理,把所求的线段都表示出来,然后经过化简得出结论②是否正确.解答:(1)证明:如图1,∵△ABC为等边三角形,∴∠ABC=60°.∵BC⊥MN,BA⊥MG,∴∠CBM=∠BAM=90°.∴∠ABM=90°﹣∠ABC=30°.∴∠M=90°﹣∠ABM=60°.同理:∠N=∠G=60°.∴△MNG为等边三角形.在Rt△ABM中,BM=a,在Rt△BCN中,BN=a,∴MN=BM+BN=a.(2)②:结论1成立.证明:如图3,过点O作GH∥BC,分别交AB、AC于点G、H,过点H作HM⊥BC于点M,∴∠DGO=∠B=60°,∠OHF=∠C=60°,∴△AGH是等边三角形,∴GH=AH.∵OE⊥BC,∴OE∥HM,∴四边形OEMH是矩形,∴HM=OE.在Rt△ODG中,OD=OG•sin∠DGO=OG•sin60°=OG,在Rt△OFH中,OF=OH•sin∠OHF=OH•sin60°=OH,在Rt△HMC中,HM=HC•sinC=HC•sin60°=HC,∴OD+OE+OF=OD+HM+OF=OG+HC+OH=(GH+HC)=AC=a.(2)②:结论2成立.证明:如图4,连接OA、OB、OC,根据勾股定理得:BE2+OE2=OB2=BD2+OD2①,CF2+OF2=OC2=CE2+OE2②,AD2+OD2=AO2=AF2+OF2③,①+②+③得:BE2+CF2+AD2=BD2+CE2+AF2,∴BE2+CF2+AD2=(a﹣AD)2+(a﹣BE)2+(a﹣CF)2=a2﹣2AD•a+AD2+a2﹣2BE•a+BE2+a2﹣2CF•a+CF2整理得:2a(AD+BE+CF)=3a2∴AD+BE+CF=a.点评:本题中综合考查了等边三角形的判定和性质,解直角三角形等知识点,由于知识点比较多,本题的难度比较大.25.(8分)(2013秋•石景山区期末)已知点A(2,﹣2)和点B(﹣4,n)在抛物线y=ax2(a≠0)上.(1)求a的值及点B的坐标;(2)点P在y轴上,且满足△ABP是以AB为直角边的直角三角形,求点P的坐标;(3)平移抛物线y=ax2(a≠0),记平移后点A的对应点为A′,点B的对应点为B′.点M(2,0)在x轴上,当抛物线向右平移到某个位置时,A′M+MB′最短,求此时抛物线的函数解析式.考点:二次函数综合题.分析:(1)首先将A点代入求出a的值,进而得出B点坐标即可;(2)分别根据①以A为直角顶点,则∠P1AB=90°,②以B为直角顶点,则∠DBP2=90°,进而求出P点坐标即可;(3)首先求出直线BE的解析式进而得出Q点坐标,再求出MQ的长,进而得出平移后解析式.解答:解:(1)∵点A(2,﹣2)在抛物线y=ax2(a≠0)上.∴,抛物线解析式为:,∴当x=﹣4,则n=﹣8,∴B点坐标为:B(﹣4,﹣8);(2)如图1,记直线AB与x、y轴分别交于C、D两点,则直线AB:y=x﹣4,C(4,0),D(0,﹣4),Rt△COD中,∵CO=DO,∴∠ODA=45°,①以A为直角顶点,则∠P1AB=90°,Rt△P1AD中,∠P1DA=45°,则,∴,又∵D(0,﹣4),∴P1(0,0),②以B为直角顶点,则∠DBP2=90°,Rt△DBP2中,∠BDP2=∠ODC=45°,∴,∴P(0,﹣12),∴综上所述:P(0,0)或(0,﹣12);(3)如图2,记点A关于x轴的对称点为:E(2,2),将B,E代入y=kx+h得:,解得:,则直线BE的解析式为:令y=0,得即BE与x轴的交点为:,,故抛物线向右平移个单位时A'M+MB'最短,此时,抛物线的解析式为:.点评:此题主要考查了二次函数综合应用以及待定系数法求二次函数以及一次函数解析式等知识,利用分类讨论以及数形结合得出是解题关键.。

湖北省浠水实验高中2014年秋高三年级期中考试历史试题

湖北省浠水实验高中2014年秋高三年级期中考试历史试题

湖北省浠水实验高中2014年秋高三年级期中考试历史试题一、选择题(每题2分,共60分)1. “中国擅长的是道,西方擅长的是器。

中国原来也包括器的,但是后来这套科学技术“器”的研究没有被重视,失传了,传到西方去了。

我们现在向西方学习,学的即是我们传过去的东西,中国古已有之,传到西方,现在‘天将器还中国’,我们又学习。

这是合理的,必要的。

”材料中所说的“道”是什么? A .中国传统思想道德 B .科学技术 C .民本思想和制度 D .自然规律 2.春秋战国时期,平民和贵族的地位发生了如图所示的变化。

其原因是①分封制逐步瓦解,世卿世禄制度没落 ②私学兴起,平民有学习和提升的机会 ③科举制度盛行,平民有升迁的机会 ④市镇经济发达,市民经济力量壮大A.① ②B.②③ C.③ ④ D.① ④3. 据《南台备要》记载:“江浙省……调兵剿捕之际,行省官凡有轻重事物,若是一一咨禀,诚恐缓不及事。

……(如今)凡有调遣军情重视及创动管钱,不须咨禀,……交他每(们)从便区处。

”这段材料可以反映出元代的江浙行省A .与中央权利之争难以调和B .获得了紧急事务处置权C .行政长官不在由朝廷任命D .权利不再受到中央节制 4.下列史料记载最为典型地体现了清朝设立军机处根本目的的是 ( ) A .“选内阁中书之谨密者入直缮写” B .“军机大臣者,……皆亲臣、重臣” C .“军机处……地近宫廷,便于宣召” D .“军机大臣……不能稍有赞画于其间” 5.《南京条约》签订后,清政府并未在国内予以公布颁行,当时连清朝办理“夷务”的官员都“未见其文”,社会各界对条约具体内容更是缺乏了解。

第二次鸦片战争后,咸丰帝颁发上谕,准允将《天津条约》、《北京条约》印刷成册,颁发各省。

这说明A .第一批不平等条约对中国社会影响有限B .闭关锁国体制对不平等条约有抵制作用C .清政府对条约体制从不接受到逐渐认同D .列强的侵略促进了清政府政治公正透明6.从公元前490年到公元前322年,雅典大约有一半左右政治家(包括伯里克利)都不同程度地受到群众的惩罚,大部分控告的起因只是因为作战失利。

湖北省孝感高级中学2014届高三九月调研考试-化学试卷(含答案)

湖北省孝感高级中学2014届高三九月调研考试-化学试卷(含答案)

孝感高中2014届高三年级九月调研考试化学命题人:刘保恩审题人:周会明可能用到的相对原子质量:H 1, C 12, O 16, Na 23第Ⅰ卷(选择题,共48分)一.选择题(48分,本题共16个小题,每小题3分。

每小题有且只有一个正确选项)1.发现元素周期律的化学家是A.勒夏特列B.道尔顿C.阿伏加德罗D.门捷列夫2.下列说法不正确的是A.任何胶体都不带电B.摩尔是七个基本物理量之一C.同温同压下,3molC2H4(g)和1molCO(g)的密度相等D.电解质溶液导电的过程发生了化学反应3.N A代表阿伏加德罗常数的值,以下说法正确的是A.常温常压下,3.2g O3所含电子数为1.2N AB.标准状况下,11.2L氯仿(CHCl3)中含有的C-Cl键的数目为1.5N AC.0.5g C3H4中含有共用电子对的数目为0.1 N AD.0.25molNa2O2中含有的阴离子数为0.5 N A4.下列离子方程式与所述反应符合的是A.Ba(NO3)2溶液中通入过量的SO23SO2 + 3Ba2+ + 2NO3-+ 2H2O = 3BaSO4 + 4H+ + 2NO↑B.酸性高锰酸钾溶液中滴加H2O2溶液4MnO4-+ 4H2O2 + 12H+ = 4Mn2+ + 7O2 + 10H2OC.溴化亚铁溶液中通入少量的氯气:2Fe2++4Br-+3Cl2=3Fe3++2Br2+6Cl-D.Fe2(SO4)3溶液中加入足量的Na2S溶液2Fe3+ + 3S2-= 2FeS↓ + S↓5.下列各组离子可能大量共存的是A.不能使酚酞试液变红的无色溶液溶液中:Na+、CO32-、K+、ClO-、AlO2-B.能与金属铝反应放出氢气的溶液中:K+、NO3-、Cl-、NH4+C.常温下水电离出的c(H+)•c(OH-)=10-20的溶液中:Na+、Cl-、S2-、SO32-D.中性透明溶液:K+、HCO3-、NO3-、SO42-、Fe3+6.下列实验操作可能会导致实验结果偏高的是A.配制一定物质的量浓度的溶液:称量固体时物体与砝码放置颠倒B.配制一定物质的量浓度的溶液:定容时仰视刻度线C.酸碱中和滴定:向滴定管中装入标准液前,未润洗滴定管D.酸碱中和滴定:滴定结束后,读取标准液的体积时,俯视刻度线7.类比是化学学习中一种常见的思维方式,以下使用类比的方法得出的结论正确的是A.CO2可以与Ca(ClO)2反应生成CaCO3和HClO,类比出SO2也可以与Ca(ClO)2反应生成CaSO3和HClOB.实验室使用浓硫酸与NaCl固体共热的方法制取HCl,类比出也可以采用浓硫酸与KNO3固体共热的方法制取HNO3C.由CaCO3溶解度小于Ca(OH)2,类比出MgCO3溶解度小于Mg(OH)2D.碱金属单质的熔沸点从上到下依次降低,类比出卤素单质的熔沸点也是从上到下依次降低。

广东省广州市番禺中学2024-2025学年高二上学期9月月考数学试卷(含答案)

广东省广州市番禺中学2024-2025学年高二上学期9月月考数学试卷(含答案)

高二数学9月月考试题一、单选题(每小题5分)1.已知,则( )A. B.C.D.2.函数)A. B. C. D.3.函数是( )A.最小正周期为的奇函数 B.最小正周期为的偶函数C.最小正周期为的奇函数 D.最小正周期为的偶函数4.若函数是定义在上的奇函数,,,则( )A.2B.0C.60D.625.已知空间向量,,则在上的投影向量坐标是( )A. B. C. D.6.在正四面体中,过点作平面的垂线,垂足为点,点满足,则( )A. B.C. D.7.在空间直角坐标系中,若直线的方向向量为,平面的法向量为,则( )A B. C.或 D.与斜交8.已知向量,,且平面,平面,若平面与平面的夹角的余弦的值为( )A.或 B.或1 C.或2D.二、多选题(每小题6分)9.三棱锥中,平面与平面的法向量分别为,,若,则二面角2i z =+izz =+3i 4-1i 4-3i4+1i 4+y =[3,4)(,3]-∞[3,)+∞(,4]-∞2π2cos 14y x ⎛⎫=-- ⎪⎝⎭πππ2π2()f x R (2)()f x f x -=(1)2f =(1)(2)(30)f f f ++⋅⋅⋅+=(3,4,0)a =(3,1,4)b =- b a (3,4,0)--34,,055⎛⎫--⎪⎝⎭314,,555⎛⎫--⎪⎝⎭(3,1,4)--P ABC -A PBC H M 34AM AH = PM =131444PA PB PC -+111444PA PB PC ++111424PA PB PC -+113444PA PB PC -+l (1,2,1)a =-α(2,3,4)n =//l αl α⊥l α⊂//l αl α(1,2,1)m =- (,1,)n t t =- m ⊥ αn ⊥βαβt 121-151-12-A BCD -ABD BCD 1n 2n 12π,3n n =的大小可能为( )A. B. C.D.10.随机抽取8位同学对2024年数学新高考|卷的平均分进行预估,得到一组样本数据如下:97,98,99,100,101,103,104,106,则下列关于该样本的说法正确的有( )A.均值为101 B.极差为9C.方差为8D.第60百分位数为10111.已知空间中三点,,,则( )A.与是共线向量B.与向量方向相同的单位向量坐标是C.与D.在三、填空题(每小题5分)12.已知是定义在上的奇函数,当时,,当时,,则_______.13.已知向量,,,若,,共面,则_______.14已知向量,,若与的夹角为钝角,则实数的取值范围是_______.四、解答题(五个大题共77分)15.(本题13分)(2024年新课标全国Ⅱ卷数学真题)记的内角,,的对边分别为,,,已知.(1)求.(2)若,求的周长.16(本题15分)某中学根据学生的兴趣爱好,分别创建了“书法”、“诗词”、“理学”三个社团,据资料统计新生通过考核选拔进入这三个社团成功与否相互独立.2015年某新生入学,假设他通过考核选拔进入该校的“书法”、“诗词”、“理学”三个社团的概率依次为、、,已知三个社团他都能进入的概率为,至少进入一个社团的概率为,且.(1)求与的值;(2)该校根据三个社团活动安排情况,对进入“书法”社的同学增加校本选修学分1分,对进入“诗词”A BD C --π6π32π35π6(0,1,0)A (2,2,0)B (1,3,1)C -AB AC AB ⎫⎪⎪⎭AB BC BC AB ()f x R 0x >2()22xxf x -=+0x <()22x x f x m n -=⋅+⋅m n +=(2,3,4)a x = (0,1,2)b = (1,0,0)c =a b c x =(2,,1)a t =--(2,1,1)b = a b t ABC △A B C a b c sin 2A A +=A 2a =sin sin 2C c B =ABC △m 13n 12434m n >m n社的同学增加校本选修学分2分,对进入“理学”社的同学增加校本选修学分3分.求该新同学在社团方面获得校本选修课学分分数不低于4分的概率.17.(本题15分)如图,在以,,,,,为顶点的六面体中(其中平面),四边形是正方形,平面,,且平面平面.(1)设为棱的中点,证明:,,,四点共面;(2)若,求六面体的体积.18.(本题17分)一家水果店为了解本店苹果的日销售情况,记录了过去200天的日销售量(单位:kg ),将全部数据按区间,,,分成5组,得到图所示的频率分布直方图.(1)求图中的值;并估计该水果店过去200天苹果日销售量的平均数(同一组中的数据用该组区间的中点值为代表);(2)若一次进货太多,水果不新鲜,进货太少,又不能满足顾客的需求.店长希望每天的苹果尽量新鲜,又能地满足顾客的需要(在100天中,大约有85天可以满足顾客的需求).请问,每天应该进多少水果?(3)在日销售量为苹果中用分层抽样方式随机抽6个苹果,再从这6苹果中随机抽取2个苹果,求抽取2个苹果都来自日销售量在的概率.19(本题17分)(2022年新高考天津数学高考真题)直三棱柱中,,,为的中点,为的中点,为的中点.A B C D E F F ∈EDC ABCD ED ⊥ABCD BF FE =FEB ⊥EDB M EB A C F M 24ED AB ==EFABCD [50,60)[60,70)⋅⋅⋅[90,100]a 85%[70,90]kg [80,90]111ABC A B C -12AA AB AC ===AC AB ⊥D 11A B E 1AA F CD(1)求证:平面;(2)求直线与平面所成角的正弦值;(3)求平面与平面夹角的余弦值.//EF ABC BE 1CC D 1ACD 1CC D高二数学9月月考试题参考答案一、单选题(每小题5分共40分)1.A2.A3.A4.A【详解】由题意,所以的周期为4,且关于直线对称,而,所以.5.B【详解】因为空间向量,,所以,,,则在上的投影向量坐标是:.6.B【详解】在正四面体中,因为平面,所以是的中心,连接,则,所以.7.C【解析】由可得,所以或,即可得正确选项.【详解】直线的方向向量为,平面的法向量为,因为,所以,所以或.8.B【详解】因为,所以,,,因为平面,平面,若平面与平面,,解得或1.二、多选题(每小题6分共18分)9.BC【详解】二面角的大小与法向量的夹角相等或互补,二面角的大小可能为或.10.ABD【详解】A选项,均值为,A正确;(2)()()(2)f x f x f x f x-==--=--()f x()f x1x=(1)(2)(3)(4)(0)(1)(1)(2)(2)(0)0f f f f f f f f f f+++=++-+===(1)(2)(30)(29)(30)(1)(2)(0)(1)022f f f f f f f f f++⋅⋅⋅+=+=+=+=+=(3,4,0)a=(3,1,4)b=-9405a b⋅=-++=-5a==b==ba 5134(3,4,0),,05555a b aa a⋅-⎛⎫⋅=⨯=--⎪⎝⎭P ABC-AH⊥PBC H PBC△PH()()211323PH PB PC PB PC=⨯+=+()33334444PM PA AM PA AH PA PH PA PA PH PA=+=+=+-=+-()3331311144434444PA PH PA PA PB PC PA PA PB PC=+-=+⨯+-=++a n⋅=a n⊥lα⊂//lαl(1,2,1)a=-α(2,3,4)n=(2,3,4)(1,2,1)2640a n⋅=⋅-=-+=a n⊥lα⊂//lα(1,2,1)m=-(,1,)n t t=-22m n t⋅=+m=n=m⊥αn⊥βαβ=25610t t-+=15t=∴A BD C--π3π2ππ33-=9798991001011031041061018+++++++=B 选项,极差为,B 正确;C 选项,方差为,C 错;D 选项,因为,故从小到大,选择第5个数作为第60百分位数,即101.11.BD 【详解】由已知,,,,因此与不共线,A 错;,所以与向量,B 正确;,,,C 错;在上的投影是,D 正确.三、填空题(每小题5分共15分)12.【详解】令,则,所以.因为是定义在上的奇函数,所以,所以,所以,,所以.13.【详解】由题意得,存在,使得,即,故解得,.14.【详解】由,得,解得,又,得,解得,所以与夹角为钝角,实数的取值范围为且.四、解答题(五个大题共77分)15.(本题13分)【解析】(1)由可得,即,由于,故,解得.(2)由题设条件和正弦定理,106979-=222(97101)(98101)(106101)169410492517882-+-+⋅⋅⋅+-+++++++==60%8 4.8⨯=(2,1,0)AB = (1,2,1)AC =- (3,1,1)BC =-1221-≠AB AC AB = AB ⎫=⎪⎪⎭6105AB BC ⋅=-++=- BC = cos ,AB BC AB BC AB BC⋅〈〉===BC AB BC AB AB⋅==5-0x <0x ->2()22xx f x -+-=+()f x R ()()f x f x -=-2()22422xx x x f x +--=--=-⨯-4m =-1n =-5m n +=-23m n a mb nc =+ (2,3,4)(0,1,2)(1,0,0)x m n =+2342nx m m=⎧⎪=⎨⎪=⎩2m =23x =(,1)(1,5)-∞-- 0a b ⋅<(2)2(1)10t -⨯++-⨯<5t <//a b 21211t --==1t =-a b t 5t <1t ≠-67=+sin 2A A +=1sin 12A A +=πsin 13A ⎛⎫+= ⎪⎝⎭ππ4π(0,π),333A A ⎛⎫∈⇒+∈ ⎪⎝⎭ππ32A +=π6A =sin sin 2sin 2sin sin cos C c B B C C B B =⇔=又,,则,进而,于是,,由正弦定理可得,,即,解得,,故的周长为.16.(本题15分)【详解】(1)依题,解得.(2)由题令该新同学在社团方面获得本选修课学分的分数为,获得本选修课学分分数不低于4分为事件A ,则;;.故.17.(本题15分)【详解】(1)连接,由四边形是正方形,故,又平面,平面,故,由,,平面,故平面,又为棱的中点,,故,又平面平面,平面平面,平面,故平面,故,所以,,,四点共面;(2)设与交于点,连接,则,又平面,平面,则平面,又因为六面体,则平面平面,又平面,故,则四边形为矩形,则,且平面,又,故,则.18(本题17分)【详解】(1)由直方图可得,样本落在,,,的频率分别为,,0.2,0.4,0.3,由,解得.B (0,π)C ∈sin sin 0B C ≠cos B =π4B =7π12C A B π=--=sin sin(π)sin()sin cos sin cos C A B A B A B B A =--=+=+=sin sin sin a b c A B C ==2ππ7πsin sin sin 6412b c==b =c =+ABC △2++78=+11324131(1)1(1)34mn m n m n ⎧=⎪⎪⎪⎛⎫----=⎨ ⎪⎝⎭⎪⎪>⎪⎩1214m n ⎧=⎪⎪⎨⎪=⎪⎩i X ()4121123412P X =⨯⨯=()5111123424P X =⨯⨯=()6111123424P X =⨯⨯=1111()1224246P A =++=78+AC ABCD AC DB ⊥ED ⊥ABCD AC ⊂ABCD ED AC ⊥DE BD D = DE BD ⊂EDB AC ⊥EDB M EB BF FE =FM EB ⊥FEB ⊥EDB FEB EDB EB =FM ⊂EFB FM ⊥EDB //FM AC A C F M AC BD O OM //OM DE OM ⊂ACFM DE ⊂/ACFM //DE ACFM EFABCD CDEF ACFM CF =DE ⊂CDEF //DE CF OCFM 1CF =CF ⊥ABCD BF FE =122CF DE ==11204422333EFABCD E ABCD B EFC V V V --=+=⨯⨯+⨯⨯=557=++[50,60)[60,70)⋅⋅⋅[90,100]10a 10a 10100.20.40.31a a ++++=0.005a =则样本落在,,,频率分别为0.05,0.05,0.2,0.4,0.3,所以,该苹果日销售量的平均值为:.(2)为了能地满足顾客的需要,即估计该店苹果日销售量的分位数.依题意,日销售量不超过90kg 的频率为,则该店苹果日销售量的分位数在,所以日销售量的分位数为.所以,每天应该进95kg 苹果.(3)由日销售量为,的频率分别为0.2,0.4知,抽取的苹果来自日销售量中的有2个,不妨记为,,来自日销售量为的苹果有4个,不妨记为,,,,任意抽取2个苹果,有,,,,,,,,,,,,,,,共有15个基本事件,其中2个苹果都来自日销售中的有6个基本事件,由古典概型可得.19.(本题17分)【解析】(1)证明:在直三棱柱中,平面,且,则以点为坐标原点,、、所在直线分别为、、轴建立如下图所示的空间直角坐标系,则、、、、、、、、,则,易知平面的一个法向量为,则,故,平面,故平面.[50,60)[60,70)⋅⋅⋅[90,100]5060607070808090901000.050.050.20.40.383.5(kg)22222+++++⨯+⨯+⨯+⨯+⨯=85%85%10.03100.7-⨯=85%[90,100]85%0.850.7901095(kg)10.7-+⨯=-[70,80)[80,90][70,80)1a 2a [80,90]1b 2b 3b 4b ()12,a a ()11,a b ()12,a b ()13,a b ()14,a b ()21,a b ()22,a b ()23,a b ()24,a b ()12,b b ()13,b b ()14,b b ()23,b b ()24,b b ()34,b b [80,90]62155P ==557++111ABC A B C -1AA ⊥111A B C AC AB ⊥1111A C A B ⊥1A 1A A 11A B 11A C x y z (2,0,0)A (2,2,0)B (2,0,2)C 1(0,0,0)A 1(0,2,0)B 1(0,0,2)C (0,1,0)D (1,0,0)E 11,,12F ⎛⎫⎪⎝⎭10,,12EF ⎛⎫= ⎪⎝⎭ABC (1,0,0)m =0EF m ⋅= EF m ⊥ EF ⊂/ ABC //EF ABC(2),,,设平面的法向量为,则,取,可得,.因此,直线与平面夹角的正弦值为.(3),,设平面的法向量为,则,取,可得,则因此,平面与平面.1(2,0,0)C C = 1(0,1,2)C D =- (1,2,0)EB =1CC D ()111,,u x y z = 111112020u C C x u C D y z ⎧⋅==⎪⎨⋅=-=⎪⎩ 12y =(0,2,1)u =4cos ,5EB u EB u EB u ⋅==⋅BE 1CC D 451(2,0,2)AC = 1(0,1,0)A D =1ACD ()222,,v x y z = 122122200v A C x z v A D y ⎧⋅=+=⎪⎨⋅==⎪⎩ 21x =(1,0,1)v =-cos ,u v u v u v ⋅〈〉===⋅ 1ACD 1CC D。

辽宁省实验中学2014届高中毕业班毕业考试—政治

辽宁省实验中学2014届高中毕业班毕业考试—政治

辽宁省实验中学2014届高中毕业班毕业考试—政治 nba(体育)2014-04-11 1317辽宁省实验中学2014届高三毕业考试政治试题一、单项选择题:在每题给出的四个选项中.只有一项是最符合题意的。

本大题共30小题.每小题2分。

共64分。

为纪念2014年北京奥运会,中国人民银行面向全球发行了一整套奥运纪念币,纪念币上市以来,由于具有较大的升值潜力,收藏价格几度上涨。

回答1—2题。

1.对中国人民银行来说,发行奥运纪念币()①实现了其价值②实现了其使用价值③出让了其价值④出让了其使用价值A.①③ B.①④ C.②③D.②④2.该纪念币共有金、银币各两种,均为中华人民共和国法定货币。

该套纪念币在本质上是()A.商品 B.纸币 C.铸币 D.一般等价物3.在2014年北京奥运会上,中国体育代表团高歌猛进,共获得51枚金牌,居金牌榜首位。

下列对奥运金牌的认识正确的是()①奥运金牌只要用于交换,就成为商品②奥运金牌属于贵金属货币,具有价值尺度职能③奥运金牌的价格由获得金牌付出的劳动量决定④奥运金牌的价值只能通过拍卖体现出来A.① B.①② C.①②④D.①③④4.天津“泥人张”彩塑形神毕肖,栩栩如生,被誉为民族艺术的奇葩,深受中外人士喜爱。

如果该商品以人民币表示的出口价格上涨5%,其他条件不变,美元贬值后该商品以美元标价应()A.上涨不足5% B.上涨5%以上C.下降不足5% D.下降5%以上国务院总理温家宝11月5日主持召开国务院常务会议,研究部署进一步扩大内需促进经济平稳较快增长的措施。

回答5—6题5.国务院要求着力扩大消费需求特别是居民消费需求。

努力消除制约消费的制度和政策障碍,改善居民消费预期,引导和促进居民扩大消费需求,这主要原因是()①消费制约着生产和经济发展②生产决定消费③消费对经济发展有拉动作用④居民的消费水平受未来收入预期的影响A.①②③④ B.①②③ C.②③④D.①③④6.保持经济平稳较快发展,最根本的是要激发企业的活力。

固镇一中实验班月考物理试卷

固镇一中实验班月考物理试卷

固镇一中2013-2014学年高一实验班月考物理试题一、选择题(每题只有一个选项是符合要求的,每题4分,共40分)1、作匀加速直线运动的物体,加速度是2米/秒2,它意味着:()A.物体在任一秒末的速度是该秒初的两倍B.物体在任一秒末的速度比该秒初的速度大2米/秒C.物体在第一秒末的速度为2米/秒D.物体任一秒初速度比前一秒的末速度大2米/秒2、汽车进行刹车试验,若速率从8 m/s匀减速至零,用时1 s.按规定速率为8 m/s 的汽车刹车后拖行距离不得超过5.9 m,那么对上述刹车试验的拖行距离的计算及是否符合规定的判断正确的()A.拖行距离为8 m,符合规定B.拖行距离为8 m,不符合规定C.拖行距离为4 m,符合规定D.拖行距离为4 m,不符合规定3、一物体做匀减速直线运动,初速度大小为10m/s,加速度大小为1m/s2,则物体在停止运动前2s内的平均速度大小为()A.0.5m/s B.1m/s C .5m/s D.5.5m/s4、物体沿直线以恒定加速度运动, 它的位移与时间的关系是s=24t-6t2 (s单位是m, t单位是s),则它的速度为零的时刻是()A.2 s B.4s C.6 s D.24 s5、有一列火车正在做匀加速直线运动.从某时刻开始计时,第1分钟内,发现火车前进了180 m. 第6分钟内发现火车前进了360 m.则火车的加速度为( )A.0.01 m/s2B.0.05 m/s2C.36 m/s2D.180 m/s26、已知a、b两物体从同一位置沿同一直线运动,它们的速度图象如图所示,下列说法正确的是 ( )A. a、b加速时,物体a的加速度大于物体b的加速度B.20秒时,a、b两物体相距最远C.60秒时,物体a在物体b的前方D.40秒时,a、b两物体相遇7、一杂技演员,用一只手抛球、接球.他每隔0.40 s 抛出一个球,接到球便立即把球抛出.已知除抛、接球的时刻外,空中总有4个球,将球的运动近似看作是竖直方向的运动,球到达的最大高度是( ) (高度从抛球点算起,取g =10 m/s 2)A .1.6 mB .2.4 mC .3.2 mD .4.0 m8、如图所示,物体A 和B 一起沿斜面匀速下滑,则物体B 受到几个力的作用( )A .3个B .4个C .5个D .6个9、如图示,两木块的质量分别为m 1和m 2,两轻质弹簧的劲度系数分别为k 1和k 2,上面木块压在上面的弹簧上(但不拴接),整个系统处于平衡状态.现缓慢向上提上面的木块,直到它刚离开上面弹簧.在这过程中下面木块移动的距离为( )A.m 1g/k 1B.m 2g/k 2C.m 1g/k 2D.m 2g/k 210、如右图所示,质量为m 1的木块P 在质量为m 2的长木板ab 上滑行,长木板放在水平地面上一直处于静止状态.若ab 与地面间的动摩擦因数为μ1,木块P 与长木板ab 间的动摩擦因数为μ2,则长木板ab 受到地面的摩擦力大小为( )A .μ1m 2g B .μ2m 1gC .μ1(m 1+m 2)gD .μ1m 2g +μ2m 1g二、实验,探究题(本大题共两小题,每空2分,图2分共14分)11、某同学做了一次较为精确的测定匀加速直线运动的加速度的实验,实验所得到的纸带如图6所示。

黑龙江省实验中学2024-2025学年高三上学期9月月考英语学科试题

黑龙江省实验中学2024-2025学年高三上学期9月月考英语学科试题

黑龙江省实验中学2024-2025学年高三上学期9月月考英语学科试题一、阅读理解Do you want to buy books? Here are some choices.1.Who is If You Give a Mouse a Cookie fit for?A.Young award winners.B.Beginning kid readers.C.Kids wanting to be stars.D.Kids loving eating cookies.2.What does The Wonderful Things You Will Be mainly describe?A.Emily’s experience of becoming brave.B.Adults’ different reading habits.C.Young and old kids’ interests.D.Parents’ love for their children.3.What can Baby Touch and Feel: Animals do?A.Teach kids to draw animals.B.Improve the parent-child relationship.C.Help kids identify animals.D.Encourage kids to be brave and creative.When I met a friend recently, I asked him how his work was. “Oh, just coasting (很轻松).” he said. He’s not alone. According to a recent survey, one third of the 3,000 people surveyed said they were “coasting” at work, which means they were making progress at work without much effort. This may come as a surprise in an age when so many people spend so much time complaining about how busy they are. But most of this talk about busyness is meaningless.According to a study by researchers at Oxford University, we do not, in fact, spend more time working than we did in the past. To some degree, the amount of work we do has gone down. However, many people just have jobs filled with tasks that don’t really need to be done.The way we look at coasting has completely changed. In the past, being relaxed or not being burdened with too much work was a sign of status. Now, being extremely busy shows you are important. If you are not crazily overburdened, then you are seen as a slacker. This does not make sense. Most people are not as busy as they say they are. In fact, most pressing tasks at work are often unrelated to productivity. Many busy people are actually overburdened with telling others how busy they are.Being buried in your job may make you feel important, but it’s likely to keep friends, co-workers and your family away. What’s more, being super-busy all the time is not good for you.Another study found that people who are overburdened with work tend to have a worse sense of well-being than those who are more relaxed. Being super-busy is also bad for your career. Those who reported working very hard were associated with poorer career outcomes.So, perhaps coasters are not a drag on productivity. Maybe they have worked out that the secret to a productive and healthy life is not being too busy, and certainly not going on about how busy you are.4.Why does the author mention the conversation with his friend in Paragraph l?A.To show their close relationship.B.To clarify the meaning of coasting.C.To introduce his topic.D.To begin the article in an interesting way. 5.What does the underlined word “slacker” in Paragraph 3 mean?A.A lazy person.B.An easy-going person.C.A helpful person.D.A very important person.6.In the author’s opinion, being super-busy with work ______.A.is related to one’s productivity B.may help one find the purpose of lifeC.is harmful to one’s career development D.may bring a better material life to one’s family7.What is the author’s attitude towards coasters?A.Negative.B.Positive.C.Indifferent.D.Ambiguous.Firms are increasingly investing their marketing dollars in social media — market research firms predict the spending will have reached $37 billion by the end of 2025.However, increasing traffic and advertising income through strategic content scheduling is no easy task. A social media manager charged with posting 10 stories in one day with a budget to promote four of them can position the posts in more than 7 trillion ways. Most choose a “spray and pray” approach, by which they simply guess when a post will get the most attention.New research from the University of Notre Dame shows digital content platforms can increase traffic to their websites from social media simply by matching their posting schedules with target audiences’ sleep-wake cycles.“More specifically”, says Vamsi Kanuri, assistant professor of marketing, “consumers engage (参与) more with posts containing high-arousal negative information, including anger,stress, anxiety or fear, in the morning than in the afternoon or evening. They engage more with ‘boosted’ (paid to advertise) posts and those requiring higher cognitive (认知的) processing, such as scientific material in the afternoon.”Simply adjusting posting schedules in accordance with target audiences’ sleep-wake cycles can increase engagement significantly, allowing firms to avoid spending more money on their special social media pages.“There is an optimum point beyond which spending more money on boosting will only result in a small increase in total profits. Also, posting content too frequently or infrequently can hurt engagement rates. The best inter-post duration in our database t seems to be between 30 and 90 minutes. The team interviewed social media managers from several major content platforms to learn how they made posting decisions and examined a year’s worth of Facebook posting and boosting data (5,700 posts) from a major newspaper. They found managers relied on gut feelings (直觉) in making posting decisions but paid zero attention to what emotional posts might draw out from readers. Firms shouldn’t rely on the general rules-of-thumb posted on various blogs all over the Internet. Instead, they should make profit- maximizing content scheduling decisions by using precise science tools.8.Which of the following best explains the underlined part “spray and pray” in Paragraph 2?A.Funds are contributed to many companies to get maximum profit.B.Advertisements are aimlessly spread to attract targeted people.C.Posts are carefully arranged to interest special groups of people.D.Brochures are handed out to increase the effect of advertising.9.Which of the following may Vamsi Kanuri agree with?A.People tend to get angry or anxious in the morning.B.Digital platforms are relatively cheap for post-sharing.C.Continuous posts are more likely to increase people’s engagement.D.Consumers’ engagement with the content of posts varies across the day.10.Matching posting time with people’s sleeping habits will ______.A.help people reduce their working timeB.make people manage their reading timeC.enable firms to predict people’s reading preferenceD.help firms reduce their marketing budgets11.What does the author mainly want to convey in the last paragraph?A.Digital platforms can provide better posting decisions.B.People focus more on posts from major newspapers.C.More attention should be paid to emotional posts.D.Firms should seek the most profitable content scheduling decisions scientifically.Years of exposure to Americans has, at last, convinced me of something about their food culture. I now think they’re correct in one of life’s great dilemmas: when eating at a restaurant, it is really fine to politely send your food back if it is not what you ordered, or covered in cheese when you asked for no cheese, etc.Of course, the idea makes me feel anxious; the British fear of making a scene is planted in my soul. But what persuaded me, in the end, was realizing how self-centered that fear actually is. Are you really such a big deal that your no-cheese request will embarrass your fellow diners, ruin the waiter's day, and send waves of shock through the kitchen? Face it: you're not. Instead, you're in the situation of what might be termed “egocentric reticence (以自我为中心的沉默).”Egocentric reticence raised its head again the other day in a study about gratitude, which found that people underestimate how much delight a thank-you note can bring. The psychologists Amit Kumar and Nicholas Epley had people send grateful messages to someone who'd made a difference to their lives. Again and again, they found, senders assumed their words would lead to less happiness and more awkwardness than they really did, and that recipients would judge their letter-writing competence cruelly, too. Even in the seemingly selfless context of expressing gratitude, senders couldn’t help giving too much weight to their own perspective. So if you stop yourself from sending someone a thank-you note because you're worried you'll make them feel awkward or annoyed, you are letting egocentrism prevent an action that would have made both of you happier.The most acute form of egocentric reticence, surely, is extreme shyness. “Shyness is just egotism out of its depth,” famous actress Penelope Keith once told an interviewer. The quote was later regarded as a line the writer Sadie Stein credits with curing her own shyness. “For some reason, the clear cruelty of that quote was what I needed, ” Stein wrote. “OK, I thought... No oneis looking at you.”12.Before contacting Americans, the author thought sending restaurant food back was ________.A.certainly a customer's rightB.fine to do just in some culturesC.acceptable but not worthy sometimesD.embarrassing and would cause trouble13.If someone is in a situation of egocentric reticence, he might ________.A.hesitate to do something due to self-centered reasonsB.keep sending waves of shock to othersC.be ignorant of other people's feelingsD.do something extremely embarrassing14.What did the study about gratitude find?A.People may regard sending grateful messages unimportant.B.It's common for Americans to send a thank-you letter.C.It's important to thank others after being helped.D.People often take a thank-you note for granted.15.What does Sadie Stein's story tell us?A.We sometimes need shyness to behave well.B.We should pay no attention to other people's thoughts.C.We can overcome our shyness by removing our egotism.D.We should avoid being exposed to other people's focus.Online grocery shopping is a way of buying food and other household necessities using a web-based shopping service. There are two basic methods that people can use to purchase these items online. 16 The other way is to order groceries from a large company that will ship the items to one’s home.Ordering groceries online became popular in the 1990s in the United States during what has been called the dot-com boom (网络繁荣). The popularity was short-lived. Several online shopping companies soon faced bankruptcy. Over the next few years, others survived economic hardship and remained strong in the market. And today there are many online grocery retailers.17Grocery shoppers have local, national, and international options available to them. Some companies provide delivery service throughout the country. 18 For those searching for unique, organic, or international products, there are stores that sell those products online, as well.19 If a customer has a specific list of items to buy, he or she may be less likely to make impulse (冲动) purchases. In addition, shoppers can usually use online and some manufacturers coupons (优惠券) with their orders for more savings when ordering online from the local grocery store.Every coin has two sides and online grocery shopping is no exception. 20 In addition, some merchants have a limited selection and customers may not receive the exact things they order. Many of the large r companies do not offer fresh produce or refrigerated products. A.Sometimes, the service and delivery fees may not be worth the convenience of shopping online. B.By comparison, others have limited service areas.C.Online grocery shopping can have several advantages.D.A customer can also choose to pick up the items at the store.E.Orders from a large online company are usually not packed at a grocery store.F.One is to order them from a local grocery store that participates in online shopping. G.Many market experts predict online grocery shopping will continue to grow in popularity.二、完形填空A few years back, I planned to build a networked digital library where theses (论文) from African universities could be stored. I wanted to find a way to make these 21 visible to the whole world. It took me years to 22 build it to my taste. But finally, it went nowhere.The other day, I was in a rest area. I observed that when one ant found food, others immediately 23 to help pull the food to their storage. I tried to 24 their formation of movement, which unfortunately caused one to get 25 . Quickly, they came together to rescue it. Then they reorganized and 26 in the line they had created. I saw no 27 of supervision (监督), yet they were moving pieces of food that were about 30 times the size of their individual size, which was a 28 task.As I watched them, the library plan 29 in my mind. Wouldn’t it be 30 to trust others to help me? Right there, I made the following 31 . The ants cooperated with each other: I would form a (n) 32 , bringing professionals together. The ants trusted one another: I must 33 the notion (观念) that only by working alone can I ensure quality. The ants were 34 . I would share my ideas with like-minded people.It is about a month later now and the project is progressing well. It’s true that by 35 everyone in the organization and trusting people, we will achieve success.21.A.conditions B.positions C.contributions D.instructions 22.A.similarly B.personally C.peacefully D.slightly 23.A.survived B.happened C.gathered D.hesitated 24.A.memorize B.share C.match D.disturb 25.A.motivated B.injured C.cheated D.discovered 26.A.waited B.hid C.reflected D.continued 27.A.favor B.response C.form D.comparison 28.A.massive B.regular C.periodic D.simple 29.A.weakened B.varied C.collapsed D.flashed 30.A.wonderful B.ridiculous C.cruel D.greedy 31.A.mistakes B.decisions C.assumptions D.recommendations 32.A.order B.opinion C.team D.requirement 33.A.get along with B.keep up with C.come up with D.do away with 34.A.efficient B.honest C.open D.reliable 35.A.impressing B.engaging C.challenging D.rewarding三、语法填空36.He is a driver I’m a teacher.(用适当的词填空)37.we like it or not, we have to finish the task. (用适当的词填空)38.He wants a job his management skills can be used. (用适当的词填空)39.she will help the boy made me happy. (用适当的词填空)40.I have been working here for 24 years since I (select). (所给词的适当形式填空)41.It was the first time that she (leave) alone at home. (所给词的适当形式填空) 42.The girl, as well as her parents, (be) going to visit China next week. (所给词的适当形式填空)43.Tom stayed here for a while, during time he learnt Chinese. (用适当的词填空) 44.The question should be employed as the manager has not been settled. (用适当的词填空)45.I’ll meet you we first met. (用适当的词填空)阅读下面材料,在空白处填入1个适当的单词或括号内单词的正确形式。

湖北省江陵县实验高中2014-2015学年高二上学期第三次月考数学理试题人教A版

湖北省江陵县实验高中2014-2015学年高二上学期第三次月考数学理试题人教A版

江陵县实验高中2014—2015学年度(上)第三次月考高二数学试题(理)一、选择题(本大题共10个小题,每小题5分,共50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、设()1,1,1,(3,1,5)A B -,则线段AB 的中点在空间直角坐标系中的位置是 A .在y 轴上 B .在xoy 平面内 C .在xoz 平面内 D .在yoz 平面内2、抛掷一枚质地均匀的骰子,落地后记事件A 为“奇数点向上”,事件B 为“偶数点向上”,事件C 为“3点或6点向上”,事件 D 为“4点或6点向上”.则下列各对事件中是互斥但不对立的是A .A 与B B .B 与CC .C 与D D .A 与D3、如图,A 是圆上固定的一点,在圆上其他位置任取一点A ′,连结AA ′,它是一条弦,它的长度大于或等于半径长度的概率为A.12B.23C.32D.124、若(9x -13x )n (n ∈N *)的展开式的第3项的二项式系数为36,则其展开式中的常数项为A .252B .-252C .84D .-845、阅读如图所示的程序框图,运行相应的程序.若输入某个正整数n 后,输出的S ∈(31,72),则n 的值为A .5B .6C .7D .86、2014年3月15日,某市物价部门对本市的5家商场的某商品一天的销售量及其价格进行调查,5家商场的售价x 元和销售量y 件之间的一组数据如表所示:通过作散点图可知,销售量y 与价格x 之间有较好的线性相关关系,其线性回归直线方程是:y =-3.2x +a (参考公式:回归方程y =b x +a ,a =y -b x ),则a =A -24B 35.6C 40.5D 407、若y x ,满足条件⎪⎩⎪⎨⎧≥≤-+≥+-,001532,0653y y x y x ,当且仅当3==y x 时,y ax z -=取最小值,则实数a 的取值范围是8、如图,在圆心角为直角的扇形OAB 中,分别以OA ,OB 为直径作两个半圆. 在扇形OAB 内随机取一点,则此点取自阴影部分的概率是A .21π-B .112π-C .2πD .1π9、在《爸爸去哪儿》第二季第四期中,村长给6位“萌娃”布置一项搜寻空投食物的任务. 已知:①食物投掷地点有远、近两处; ②由于Grace 年纪尚小,所以要么不参与该项任务,但此时另需一位小孩在大本营陪同,要么参与搜寻近处投掷点的食物;③所有参与搜寻任务的.........小孩..须被均分成两组,一组去远处,一组去近处...........。

2023-2024学年湖北省武汉市实验学校高一上学期9月月考英语试题

2023-2024学年湖北省武汉市实验学校高一上学期9月月考英语试题

2023-2024学年湖北省武汉市实验学校高一上学期9月月考英语试题Books teach us about truth , science , literature , friendship and the value of love and caring. Here are 4 books you should read at least once in your life.1. Charlotte’s web by E.B. WhiteCharlotte’s web is a novel about a pig named wilbur and a spider named Charlotte written by American author E.B. white. It first came out in 1952, with illustrations by Garth Williams. Alive-action film version w as published in 2006. White’s novel is a lesson for children and a reminder for adults of the beauty of nature and the importance of respecting every creature on this earth.2. The Little prince by Antoine De saint-ExuperyThe most-translated book in French, The Little prince is the story of a little boy who falls to Earth from a minor planet to try to understand mankind. In his travels he meets a series of strange and delightful characters. It is a fable about the foolishness of man and man’s tendency towa rd self-destruction, as well as the transformative power of friendship and trust.3. The kite Runner by Khaled HosseiniThe kite Runneris is the story of the unlikely and complicated friendship between Amir, the son of a wealthy merchant, and Hassan, the s on of his father’s servant. Hosseini brings his homeland to life for us, showing us a world of ordinary people, the enduring love of friendship, and the power of forgiveness.4. Required Reading for All Teenagers by Douglas pagelsMuch-loved for its mix of heartfelt thoughts, Required Reading for All Teenagers combines the words of Douglas pagels with the writings of famous people from the fields of sports. Now in are designed version, it is a better-than-ever source that gives parents some solid advice on parenting teenagers.1. What do we know about charlotte’s web?A.It was once adapted for a film. B.It was illustrated by E.B. white.C.It was originally released in 2006. D.It was specially designed for kids.2. What do The Little prince and The kite Runner both talk about?A.Animals. B.Friendship. C.Forgiveness. D.Celebrities.3. Which book best suits those concerned about family education?A.Charlotte’s web . B.The Little prince .C.The kite Runner . D.Required Reading for All Teenagers . Steph Clemence always intended to go to college. She had good grades and considered herself college bound. But life has a tendency to throw obstacles in the way. When her father died tragicallyin a car accident, leaving her mother to support three daughters on a modest income, paying for college became out of the question.Around that time, Steph tried to figure out what to do with a life that had differed so much from the plan she’d carefully laid out. The answer came one afternoon when she was cleaning her bedroom closet and found a list from the English teacher she’d had in her junior year, Dorothy Clark. One afternoon, Mrs. Clark walked into the classroom carrying a stack of papers. She instructed each students to take one. The handout was titled Mrs. Clar k’s Book List. “It wasn’t homework,” the teacher announced, “but it could be a road map. Some of you might not go on to higher education, but you can continue to learn.” It would, she believed, form the equivalent of two years at a liberal arts college.“She knew the income levels of the kids in my high school,” says Steph. “Working-class and logging families. She knew most of us would not go to college. She was right. But she knew we could continue to learn after high school. She was also right about that.” Steph studied the list. Each of those books sparked her passion to learn more about the person, subject matter, or time in history. That made her look for other books that weren’t on the list, hoping to deepen her knowledge. Over the years, the reading list was a constant in her life, traveling with her even on vacations.Now Steph is 70 and she never did get to college. But she has only four books left to read from the list. She expects to complete them sometime in 2023. “Each of the books has added something to who I am and how I see the world.” she says, “I now have gained an insight to see why things happened and what it might mean.”4. What prevented Steph going to college?A.Her bad grades.B.The lack of financial support.C.Her low income.D.Her tragic accident.5. Why did Mr. Clark create the book list?A.To prepare students for college.B.To serve as a reading task for students.C.To share her favorite books with students.D.To encourage students to continue learning.6. How does Steph feel about the book list now?A.Regretful.B.Moved.C.Fulfilled.D.Determined.7. What is the text mainly about?A.A good reading habit.B.An influential reading list.C.An impressive English teacher.D.A memorable experience in high school.On June 23,2018,twelve young Thai boys and their assistant football coach wandered into a karst cave in northern Thailand, near the border with Myanmar. What happened next would grab the world’s attention and lead to a complex and daring international rescue operation. The 10.3-kilometer-long Tham Luang cave flooded, trapping the boys in total blackness nearly 2.5 kilometers from the cave entrance.Thousands of people from around the globe participated in the rescue effort, including military personnel, medical experts and the rock stars of the operation — cave divers. The divers, who safely removed all of the Thai children and their coach after 18 days underground, dealt with tight spaces and low visibility in muddy water- conditions that would prove deadly: Saman Gunan, a former Thai Navy Seal, died while transporting air tanks into the cave.While the sport of cave diving had received attention in the pop culture area prior to the rescue mission in North Thailand, there is little doubt that the brave divers at Tham Luang cave helped push the activity and its varieties of risks into global society’s minds.The sport-often referred to as among the world’s most dangerous recreational activities-has its roots in pre-WWII England. Since then, the recreational practice of cave diving, described by Australian cave explorer Richard Harris (a participant in the Tham Luang cave rescue) as an “unusual hobby” for “the ordinary,” has spread around the world-China included.Over 1,000 kilometers northeast of Tham Luang cave, in South China’s Guangxi Zhuang Autonomous Region, lies karst-peak-covered Du’an county-China’s little-known cave diving Mecca.Home to thousands of kilometers of underground rivers, Du’an county offers divers spellbinding geological formations, perhaps t he world’s largest collection of blind fish species and a rare variety of freshwater jellyfish.8. What do we know about the Tham Luang cave rescue operation?A.There was no loss of life in the process. B.Rock stars took part in the rescue efforts.C.Rescue team came from more than Thailand. D.Few people cared about it outside Thailand.9. What contributes to people knowing more about cave diving globally?A.Its dangerous recreations. B.Its long history.C.An expert’s description.D.The divers’ her oic deeds.10. Why is Du’an county referred to as a cave diving Mecca?A.It is northeast of Tham Luang cave. B.There are lots of underground rivers.C.It is hardly known to the outside world. D.It has the world’s largest geologicalformations.11. What will be talked about in the following passage?A.Spectacular cave diving experiences in Du’an.B.Diving instructions shared by Richard Harris.C.Lessons learned from this rescue operation.D.Foods offered to tourists in Du’an.Think back to when you were in a maths classroom, and the teacher set a difficult problem. Whichof the two following responses is closer to the way you reacted?A: Oh no, this is too hard for me. I’m not even going to seriously try and work it out.B: Ah, this is quite tricky, but I like to push myself. Even if I don’t get the answer right, maybe I’ll learn something in the attempt.Early in her career, the psychologist Carol Dweck of Stanford University gave a group of ten-year-olds problems that were slightly too hard for them. One group reacted positively and loved the challenge. She says they had a ‘growth mindset’ and are focused on what they can achieve in the future. But another group of children felt that their intelligence was being judged and they had failed. They had a ‘fixed mindset’ and were unable to imagine improving. Some of them looked for someone who had done worse than them to boost their self-esteem.Professor Dweck believes that there is a problem in education at the moment. For years, children have been praised for their intelligence or talent, but this makes them vulnerable (脆弱的) to failure. They become performance-oriented, wanting to please by getting high grades, but they are not interested in learning for its own sake. The solution, according to Dweck, is to lead them to become mastery-oriented (i.e., interested in getting better at something). She claims that the ever-lasting effort over time is the key to outstanding achievement.Psychologists have been testing these theories. Underperforming school children on a Native American reservation were exposed to growth mindset techniques for a year. The results were nothing less than incredible. They came top in regional tests, beating children from much more privileged backgrounds. These children had previously felt that making an effort was a sign of stupidity, but they came to see it as the key to learning.12. What can we learn about a person if his answer is closer to “B”?A.He is performance-oriented.B.He tends to set limits to his life.C.He enjoys the process and focuses on the future.D.He boosts his self-esteem by comparing with others.13. Which of the following suggestions will Professor Dweck give to parents and teachers?A.To reward children for their high grades. B.To emphasize the importance ofintelligence.C.To ignore the result brought by failure. D.To praise children for their engagement inthe process.14. What does “These children” in the last paragraph refer to?A.Children showing no interest in learning.B.Children who use fixed mindset techniques.C.Children from much more privileged backgrounds.D.Underperforming school children on a Native American reservation.15. Why does the author write the text?A.To distinguish growth mindset and fixed mindset.B.To inform readers of the importance of growth mindset.C.To show several psychological study results.D.To point out a problem in education at the moment.Boost your MemoryWhen trying to memorize new material, it’s easy to assume that the more work you put in, the better you will perform. 16 Just turn down the lights, sit back, and enjoy10-15 minutes of quiet rest, and you’ll find that your memory is far better than if you had attempted to use that moment more productively.Although it’s known that we should pace our studies, new research suggests that we should aim for “minimal distraction” during these breaks. 17 You really need to give your brain the chance for a complete recharge with no distraction.The memory-boosting benefits of undisturbed rest were documented in 1900. In one experiment, the researcher first asked the participants to learn a list of syllables. Following a short period, half the group was immediately given a second list to learn, while the rest were given a six-minute break before continuing. 18 The participants given the break remembered nearly 50 percent, compared to an average of 28 percent for the other group.In the early 2000s, two other researchers led several follow-up studies. In healthy participants, they have found that short periods of rest can also improve our memory of places. More crucially, this advantage stays a week after the original learning task and it seems to benefit young and old people alike. 19The exact mechanism is still unknown. It is now accepted that once memories are initially encoded, they pass through a period of consolidation (巩固) that bond them in long-term storage. 20 But now in the age of information, it seems that our brains do need a short break at times to function better.Growing up and playing hockey (冰球) with her brothers in the area, Manon Rheaume learned pretty quickly that, despite her________, she was often cut from teams________ because she was a girl. Although it was________ for the youngster, she continued to work hard and________ her skills to prove she could________ with the boys.It didn’t take long for her to make a________ for herself. In 1984, she became the first girlto________ in the well-known Quebec City International pee-wee Hockey Tournament.When the Tampa Bay Lightning, a National Hockey League (NHL) team, came calling the following year, it was a________ Rheaume could not pass up. When Rheaume arrived in Tampa Bay, she remembers there was a big bouquet (花束) of flowers waiting for her in her dressing room, along with a________. “It was from a radio station in Montreal and the card________ ‘Go further, good________ to you, we’re all on your________ and you’re not alone,’” she said. “when I got that, I realized a lot of people were________ me to be successful.”Although her experience with the NHL was brief, Rheaume encouraged countless girls to ________ their hockey dreams. Rheaume said, “Hard work and never giving up is what makes you________.”21.A.competence B.patience C.difference D.influence22.A.hardly B.simply C.physically D.irresponsibly 23.A.confusing B.surprising C.embarrassing D.disappointing 24.A.recover B.assess C.sharpen D.expect25.A.complain B.compete C.celebrate D.correspond26.A.name B.plan C.face D.rule27.A.work B.engage C.star D.volunteer28.A.dream B.role C.signal D.chance29.A.certificate B.ticket C.card D.picture30.A.emerged B.read C.explained D.listed31.A.luck B.moment C.gifts D.news32.A.way B.mind C.side D.schedule33.A.pressing B.sponsoring C.advising D.supporting34.A.stick to B.put off C.makeup D.set aside35.A.dynamic B.popular C.successful D.reliable阅读下面材料,在空白处填入适当的内容(1 个单词)或括号内单词的正确形式Luosifen is a combination of river snails and rice noodles, originating in Liuzhou, Guangxi, southern China. Since Liuzhou is a city full of Luosifen restaurants, with many near one another, you can even smell it 36 (walk) down the street! Because of the humid climate in Liuzhou, people tend to lose their appetite, but the spicy and sour taste stimulates 37 (people) appetite. Its unique taste of freshness, sourness, hotness and spiciness is 38 modern people and young people prefer. Diners can also add extra chili, fresh green vegetables or garlic 39 (suit) their own taste. Despite the word “snail” in its Chinese name, actual snails don’t commonly appear in the dish, but 40 (use) to flavor the soup. There being many choices of 41 (package) Luosifen these days ,people can easily prepare their favorite version at home. Some people even cook Luosifen-based hotpot 42 (they). Admittedly, Luosifen has become 43 must-try dish for those enthusiasts seeking a genuine cuisine. Whether you are exploring the streets of Liuzhou 44 enjoying a bowl in a distant land, Luosifen is sure to leave a lasting impression on your taste buds, providing a 45 (true) unforgettable gastronomic (美食的) experience.46. 假定你是李华,你的英国笔友Daniel想参加网上举办的“外国人唱中文歌”才艺大赛,发邮件希望你为他推荐一首中文歌曲(歌名可用汉语拼音拼写)。

2013-2014年山东省实验高一英语期中考试 含答案

2013-2014年山东省实验高一英语期中考试 含答案

山东省实验中学2013-2014学年第一学期高一英语试题(必修1模块结业)第一部分:听力(共两节,满分20分)第一节(共5小题; 每小题1分,满分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 does Jane like best?A. Chocolate.B. Ice cream.C. Cookies.2. What does the conversation (对话) take place?A.At a flower shop.B. In a garden.C. At a post office.3. Who is the manager?A. Jane.B. Ann.C. Mr. Brown.4. What will happen next?A. The man will go to the cinema with the woman.B. The woman will watch a VCD in English with the man.C. The man will use the woman’s VCD to see the film.5. What does the woman mean?A. She wants to eat immediately.B. She is afraid that she will die soon.C. She knows when the game is over.第二节(共15小题;每小题1分,满分15分)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,并标在试卷的相应位置。

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。

辽宁省沈阳二中2013-2014学年高二上学期9月阶段验收 英语试题(含答案)

辽宁省沈阳二中2013-2014学年高二上学期9月阶段验收 英语试题(含答案)

沈阳二中2013——2014学年度上学期10月份阶段验收高二(15届)英语试题命题人:赵硕,张蓬,周国臣,李俊杰审校人:余速张月影说明:1.测试时间:120分钟总分:150分2.客观题涂在答题纸上,主观题答在答题纸的相应位置上第Ⅰ卷客观题试卷 (共四部分,满分110分)第一部分听力(共两节,满分20分)第一节(共5小题;每小题1分,满分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 is Lucy’ s favorite fruit now?A. Apple.B. Orange.C. Banana.2. What will the woman do this afternoon?A. Go shopping with the man.B. Go swimming.C. Have a rest.3. What was the weather usually like in this season before?A. Rainy.B. Fine.C. Windy.4. What will the man do next?A. Turn down the radio.B. End the party soon.C. Get the woman some drinks.5. What does the woman think of the exam?A. Very difficult.B. Very strange.C. Not too difficult.第二节(共15 小题;每小题1分,满分15分)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,并标在试卷的相应位置。

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,各小题给出5秒钟的作答时间。

辽宁省沈阳市郊联体2024-2025学年高三上学期9月开学联考试题-化学-Word版含解析

辽宁省沈阳市郊联体2024-2025学年高三上学期9月开学联考试题-化学-Word版含解析

辽宁省沈阳市郊联体2024年9月高三联考化学本试卷满分100分,考试时间75分钟。

注意事项:1.答卷前,考生务必将自己的姓名、准考证号填写在答题卡上。

2.回答选择题时,选出每小题答案后,用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。

回答非选择题时,将答案写在答题卡上,写在本试卷上无效。

3.考试结束后,将本试卷和答题卡一并交回。

可能用到的相对原子质量:H-1B-11C-12N-14O-16S-32Ti-48Zn-65Ba-137一、选择题:本题共15小题,每小题3分,共45分。

在每小题给出的四个选项中,只有一项符合题目要求。

1.“新质生产力”的概念中,“新”的核心在于科技创新。

下列有关说法正确的是()A .利用2CO 合成高级脂肪酸的甘油酯,实现无机小分子向有机高分子的转化B .光学谐振器中使用的碳纳米管与金刚石、60C 互为同素异形体C .石墨烯粉体可用于制作高性能涂料,石墨烯属于不饱和有机物D .我国研发的小型核反应堆“玲龙一号”以235U 为核燃料,235U 与238U 化学性质不同2.下列化学用语表示正确的是()A .H 元素的三种核素:12H 、22H 、32HB .用电子式表示KCl 的形成过程:C .甲烷的空间填充模型:D .的命名:2-甲基丁烯3.实验室中进行从薄荷草中提取“薄荷油”的实验时,下列仪器或装置不能达到实验目的是()A .捣碎薄荷草B .利用4CCl 浸出C .去除植物残渣D .蒸馏浸出液得薄荷油4.通过加热反应实现的以镁元素为核心的物质转化关系如图。

下列说法错误的是()A .物质a 、b 均为电解质,且b 为强电解质B .物质b 与CuO 的反应中,b 作还原剂C .利用NaOH 溶液和红色石蕊试纸可检验4NH +D .()Mg OH Cl 既含离子键又含极性共价键5.工业上利用2SO 还原制备碲(Te )的反应为42224TeCl 2SO 4H O Te 2H SO 4HCl ++=↓++,设A N 为阿伏加德罗常数的值。

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实验高中2014年秋季学期9月考试高二语文试卷(考试时间:150分钟,总分150分)一、18分,每小题3分。

1.下面加点字,读音全都不同的一项是A.罗绮.旖.旎骑.行倚.马可待B.参差.嗟.叹磋.商蹉.跎岁月C.天堑.暂.时錾.金崭.露头角D.篇.章蝙.蝠扁.担遍.地开花2.下面词语中,没有错别字的一项是A.喟然窥视虚心相待大浪涛沙B.斧钺惶恐皓首而归良晨美景C.奢侈合契白璧无瑕泣下沾襟D.帷幄溯北刎颈之交春风料峭3.将下面一段文字重新排序,正确的一项是①百般不能排解思情,不妨往诗文中寻个消遣处。

②王维的乡思亦有画意,来日绮窗前,寒梅着花未?③从古至今,乡愁是诗人的惆怅。

④乡愁是诗意的,乡愁也是失意的。

没有什么再像乡愁一样令我悲伤,这么美丽的文字,这么伤感的情怀,只有诗人才能表达。

⑤诗云:今夜月明人尽望,不知秋思落谁家。

A.③①⑤②④B.⑤③①②④C.①②③⑤④D.③⑤①②④4.下面加点的成语使用不恰当的一项是A.与同样被列为法定假日的端午节、清明节相比,中秋节销售市场要活跃得多,一方面礼尚往...来.的传统刺激消费,另外秋装新品的上市正符合人们换季采购的需求。

B.李清照不愧一代词家,天才佳作脍炙人口....,广为流传。

C.李彦宏告诫跃跃欲试的年轻人:一定要有向前看两年的眼光。

跟风、赶潮流,你吃到的很可能是残羹冷炙....。

D.新上任的张市长下决心要改变全市落后的经济现状,每当他来到贫穷的小山村,总是访贫问苦,求田问舍....,受到了老百姓的欢迎。

5.下面句子中,没有语病的一项是A.新世纪以来,国内出版业遭受了以互联网技术、移动技术、数字化阅读技术为代表的信息技术,呈现出复杂多变的博弈局面,传媒结构发生了微妙变化。

B.中美两国对保障石油供应安全、维护国际石油市场稳定问题上,具有共同的利益和责任。

C.中国皮影戏的艺术魅力曾经倾倒和征服了无数热爱它的人们,它的传播对中国近代电影艺术也有着不可忽视的启示作用。

D.大学毕业后去农村应聘村官的人当中,多数人希望能在建设新农村这一大环境中找到施展才华、创立事业、实现理想的有效途径。

6.下面文学常识表述正确的一项是A.王国维在《人间词话》中说,古今之成大事业、大学问者,必经过三种之境界。

辛弃疾的“众里寻他千百度,蓦然回首,那人却在灯火阑珊处”,正是第三境。

B.“四史”是指《史记》《汉书》《后汉书》《三国志》四部纪传体通史,它们的作者分别是司马迁、班固、范晔和陈寿。

C.“六艺”是指《诗》《书》《礼》《乐》《易》《春秋》,其中《诗》就是《诗经》。

D.“柳郎中词只合十七八女郎,执红牙板,歌‘杨柳岸晓风残月’;学士词须关西大汉,铜琵琶,铁绰板,唱‘大江东去’。

”其中“柳郎中”是指南宋婉约派词人柳永,“学士”是指北宋豪放派词人苏轼。

二、9分,每小题3分。

阅读下面的文字,完成6—9题中西方戏剧与人生中国戏剧的特点,可用三句话概括,即动作舞蹈化,语言音乐化,布景图案化。

此三者之配合,可谓是人生之艺术化。

戏剧不求将人生搬上舞台,但有假戏真做与真戏假做之别。

世界即舞台,人生即戏剧,但若把真实人生搬上舞台去演,则为真戏假做。

京剧则是把人生艺术化了而在舞台上去演,因此是真戏假做。

也可以说中国京剧中之人生比真实人生更有意义了。

王国维《人间词话》中说,文学不应有隔。

但从中国戏剧来说,正是相反。

中国戏剧之长处,正在于其与真实人生有隔。

西方戏剧求逼真,说白、动作完全要逼近真实,要使戏剧与人生不隔。

但中国戏剧则只是游戏三昧。

即如绘画,西方也求逼真,要写实,因此连阴影也画上。

中国画则是抽离现实,得其大意,重在神韵和意境,始是上乘作品。

中国人作画也称“戏笔”,便是这意义。

中国京剧亦如作画般,亦要抽离,不逼真,至少在这点上,中国京剧已是获得了中国艺术共同精神主要之所在。

西方宗教是空灵的,也是抽离现实的,因此有他们逼真的戏剧文学来调剂。

中国人自幼读经,所讲全是严肃的人生道理,这些全是现实的,因此要有空灵的文学艺术作调剂。

不论中西,在人生道路上,一张终有一弛。

如果说母亲是慈祥可爱,父亲则是严肃可畏的,则西方宗教是母亲,文学戏剧是父亲;在中国,儒家道德伦理是严父,而文学艺术是慈母。

中国京剧要抽离现实,故把人生世相绘画化、舞蹈化、和音乐化。

中国人对人生太认真了,故而有戏剧教人轻松,教人解脱。

我们不能说中国京剧不如西方话剧之逼真,这在整个文化体系之配合中各有其分别的地位与意义。

7.下面能说明“中国艺术共同精神”的一项是A.把人生世相绘画化、舞蹈化和音乐化。

B.教人轻松,教人解脱。

C.艺术与人生不应有隔。

D.与现实保持距离,重在神韵和意境。

8.下面对原文最后一段中有关内容的理解,不正确的一项A.中国京剧把人生世相绘画化、舞蹈化和音乐化,是抽离现实的需要。

B.中国的京剧只是起着教人轻松、教人解脱的作用。

C.中国京剧抽离现实的特点,与中国人的人生态度有着密切的关系。

D.作者认为,中国京剧和西方话剧在整个文化体系的配合中各有自己的地位与意义。

9.根据文意,下面说法正确的一项是A.中西方戏剧各有特色,表现手法、艺术追求各有差异,但表现人生、反映生活的艺术目标是一致的。

B.西方戏剧讲究逼真,所以表现上缺乏技巧。

C.西方戏剧表现真实的人生,没有进行艺术创造,因而难以有发展。

D.与西方画相比,中国画抽离现实,是上乘作品。

三、9分,每小题3分阅读下面文言文,完成后面的题目。

管晏列传(节选)司马迁管仲夷吾者,颍上人也。

少时常与鲍叔牙游.,鲍叔知其贤。

管仲贫困,常欺鲍叔,鲍叔终善遇之,不以为言。

已而鲍叔事齐公子小白,管仲事公子纠。

及小白立为桓公,公子纠死,管仲囚焉。

鲍叔遂进.管仲。

管仲既用,任政于齐,齐桓公以.霸,九合诸侯,一匡天下,管仲之谋也。

管仲曰:“吾始困时,尝与鲍叔贾,分财利多自与.,鲍叔不以我为贪,知我贫也。

吾尝为鲍叔谋事而更穷困..,鲍叔不以我为愚,知时有利不利也。

吾尝三仕三见.逐于君,鲍叔不以我为不肖,知我不遭时也。

吾尝三战三走,鲍叔不以我怯,知我有老母也。

公子纠败,召忽死之,吾幽囚受辱,鲍叔不以我为无耻,知我不羞小节而耻功名不显于天下也。

生我者父母,知我者鲍子也。

”鲍叔既进管仲,以身下之.。

子孙世禄于齐,有封邑者十余世,常为名大夫。

天下不多.管仲之贤而多鲍叔能知人也。

管仲既任政相齐,以区区之齐在海滨,通货积财,富国强兵,与俗同好恶。

故其称曰:“仓廪实而知礼节,衣食足而知荣辱,上服度则六亲固。

四维不张,国乃灭亡。

下令如流水之原,令顺民心。

”故论卑而易行。

俗之所欲,因而予之;俗之所否,因而去之。

其为政也,善因祸而为福,转败而为功。

贵轻重,慎权衡。

桓公实怒少姬,南袭蔡,管仲因而伐楚,责包茅不入贡于周室。

桓公实北征山戎,而管仲因而令燕修召公之政。

于柯之会,桓公欲背曹沫之约,管仲因而信之,诸侯由是归齐。

故曰:“知与之为取,政之宝也。

”管仲富拟于公室,有三归、反坫,齐人不以为侈。

管仲卒,齐国遵其政,常强于诸侯。

后百余年而有晏子焉。

10.下面加点的实词解释有误的一项是A.少时尝与鲍叔牙游.游:游历,游学。

B.鲍叔遂进.管仲进:保举,推荐。

C.吾尝为鲍叔谋事更穷困..穷困:困厄,窘迫。

D.天下不多管仲之贤而多.鲍叔之能知人也多:赞美,推重。

11.下面加点字的意义和用法相同的一项是A.分财利多自与.,鲍叔不以我为贪相如闻,不肯与.会B.吾尝三仕三见.逐于君秦城恐不可得,徒见.欺C.管仲既用,任政于齐,齐桓公以.霸请以.秦之咸阳为赵王寿D.鲍叔既进管仲,以身下之.虽才高于世,而无骄尚之.情12.下面对原文内容的分析和理解有误的一项是A.本文通过鲍叔知贤、荐贤和让贤的故事,刻意探索和说明了如何对待贤才的问题。

B.管仲其人,经营多分财利,谋事反而更糟,做官被逐,打仗逃跑。

鲍叔却不认为他贪、愚、不肖、怯和无耻。

反而从囚禁中把他解放出来,并推荐给桓公,使之一展才能。

C.在柯地会盟时,桓公想背弃曹沫逼迫他订立的盟约,管仲就顺应形势劝他信守盟约,诸侯们因此回到了齐国。

D.本文在写法上打破列传叙事轻重主次、虚实详略的常规,属历史传记却突出抒情因素,它不正面写鲍叔,而鲍叔的形象却高大动人。

四、24分13.翻译文中划线的句子(10分)①吾尝三战三走,鲍叔不以我为怯,知我有老母也。

(4分)②其为政也,善因祸而为福,转败而为功。

(3分)③知与之为取,政之宝也。

(3分)14.阅读下面一首宋词,完成后面的题目。

(8分)南歌子贺铸疏雨池塘见,微风襟袖知。

阴阴夏木啭黄鹂。

何处飞来白鹭立移时。

易醉扶头酒,难逢敌手棋。

日长偏与睡相宜。

睡起芭蕉叶上自题诗。

①阅读上片,描写词人独立庭院看到的景色。

(4分)②阅读下片,说说词人写了哪些生活琐事,抒发了怎样的感慨。

(4分)15.填空(6分)①今宵酒醒何处?,。

(柳永《雨霖铃》)②乱石穿空,,。

(苏轼《念奴娇·赤壁怀古》③寻寻觅觅,,。

(李清照《声声慢》)五、18分阅读下面的散文,完成16—19题又见鹭鸶陈忠实①那是春天的一个惯常的傍晚,我沿着水边的沙滩漫不经心地散步。

绕过一道河石垒堆的防洪坝,我突然瞅见了鹭鸶,两只,当下竟不敢再挪动一步,便悄悄在沙地上坐下来。

哦!鹭鸶又飞回来了!②在顺流而下大约30米处,河水从那儿朝南拐了个大弯儿,弯儿拐得不急不直随心所欲,便拐出一大片生动的绿洲,靠近水流的沙滩上水草尤其茂密。

两只雪白的鹭鸶就在那个弯头上踯躅,在那一片生机盎然的绿草中悠然漫步;曲线优美到无与伦比的脖颈迅捷地探入水中,倏忽又在草丛里扬起头来;两只峭拔的长腿淹没在水里,举止移步悠然雅然;一会儿此前彼后,此左彼右,一会儿又此后彼前,此右彼左;断定是一对儿没有雄尊雌卑或阴盛阳衰的纯粹感情维系的平等夫妻……③于是,小河的这一片便呈现出别开生面令人陶醉的风景,清澈透碧的河水哗哗吟唱着在河滩里蜿蜒流淌,两个穿着艳丽的女子在对岸的水边倚石搓洗衣裳,三头紫红毛色的牛和一头乳毛嫩黄的牛犊在沙滩草地上吃草,三个放牛娃三对角坐在草地上玩扑克,蓝天上只有一缕游丝似的白云凝而不动,落日正渲染出即将告别时的热烈和辉煌……这些平常见惯的景致,全都因为一双鹭鸶的出现而生动起来。

④不见鹭鸶,少说也有二十多年了。

小时候在河里耍水在河边割草,鹭鸶就在头前或身后的浅水里,有时竟在草笼旁边停立;上学和放学涉过河水时,鹭鸶在头顶翩翩飞翔,我曾经妄想把一只鸽哨儿戴到它的尾毛上;大了时在稻田里插秧或是给稻畦里放水,鹭鸶又在稻田圪梁上悠然踱步,丝毫也不戒备我手中的铁锨……难以泯灭的鹭鸶的倩影,现在就从心里扑飞出来,化成活泼的生灵在眼前的河湾里。

⑤至今我也搞不清鹭鸶突然离去突然绝迹的因由,也许是水流逐年衰枯稻田消失绿地锐减,这鸟儿瞧不上越来越僵硬的小河川道了?也许是乡民滥施化肥农药污染了流水也污浊了空气,鹭鸶感到窒息而逃逸了?也许是沿河两岸频频敲打的锣鼓和震天撼地的炮铳,使这喜欢悠闲的生灵心惊肉跳恐惧不安拂尾而去?也许是那些隐蔽在树后的猎手暗施的冷枪,击中了鹭鸶夫妻双方中的雌的或雄的,剩下的一个悲怆遁逃?⑥又见鹭鸶!又见鹭鸶!⑦落日已尽红霞隐退暮霭渐合。

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