限时练3
九年级数学限时练
读安居育才 做中华英才精英之源 卓同首选九年级限时练(1)1.若a ,b 都是实数,b =+﹣2,则a b的值为 . 2.若最简二次根式与可以合并,则a = .3.与最简二次根式是同类二次根式,则m = .4.方程x (x ﹣3)=x ﹣3的根是 .5.当x =﹣1时,代数式x 2+2x +2的值是 .6.关于x 的一元二次方程(m ﹣1)x 2﹣2x +1=0无实数根,则m 的取值范围是 . 7.若m 是方程2x 2﹣3x ﹣1=0的一个根,则6m 2﹣9m +2016的值为 .如图,已知l 1∥l 2∥l 3,直线l 4、l 5被这组平行线所截,且直线l 4、l 5相交于点E ,已知AE =EF =1,FB =3,则= .8.如图,利用一面长18米的墙,用篱笆围成一个矩形场地ABCD ,篱笆的长为32米,设AD 长为x 米,AB 长为y 米,矩形的面积为S 平方米. (1)求y 与x 的函数关系式,并直接写出自变量x 的取值范围; (2)求出使矩形场地的面积为120平方米的围法. (3)求出使矩形场地的面积最大的围法.九年级限时练(2)1.若分式有意义,则x 的取值范围为 .2.如果代数式有意义,那么x 的取值范围为 .3.若是一个正整数,则正整数m 的最小值是 .4.若关于x 的一元二次方程(k ﹣1)x 2+2x ﹣1=0有两个不相等的实数根,则k 的取值范围是 .5.若a 是方程x 2﹣3x +1=0的根,计算:a 2﹣3a += .6.已知线段a =4cm ,线段b =7cm ,线段c 是线段a ,b 的比例中项,则线段c = .7.计算:(+1)(﹣1)+﹣38.计算:9.已知关于x 的一元二次方程mx 2﹣(m ﹣3)x ﹣3=0(m ≠0).(1)求证:不论m 为何值,这个方程都有两个实数根; (2)若此方程的两根均为整数,求正整数m 的值.读安居育才 做中华英才精英之源 卓同首选九年级限时练(3)1.计算:(3+2)(3﹣2)= .2.如果两个最简二次根式与能合并,那么a = .3.与最简二次根式5是同类二次根式,则a = .4.已知,则= .5.若一元二次方程(k ﹣1)x 2+3x +k 2﹣1=0有一个解为x =0,则k = .6.下列各组中的四条线段成比例的是( ) A .1cm ,2cm ,3cm ,4cm B .1cm ,2cm ,20cm ,40 C .2cm ,3cm ,4cm ,5cm D .5cm ,10cm ,15cm ,20cm7.如图,直线a ∥b ∥c ,若=,则= .8.计算:9.计算:10..我市茶叶专卖店销售某品牌茶叶,其进价为每千克240元,按每千克400元出售,平均每周可售出200千克,后来经过市场调查发现,单价每降低10元,则平均每周的销售量可增加40千克,若该专卖店销售这种品牌茶叶要想平均每周获利41600元,请回答: (1)每千克茶叶应降价多少元?(2)在平均每周获利不变的情况下,为尽可能让利于顾客,赢得市场,该店应按原售价的几折出售?九年级限时练(4)1.若,则a 2﹣6a ﹣2的值为 . 2.若x =﹣3,则的值为 .3.把根号外的因式移到根号内:= .4.如图,数轴上点A 表示的数为a ,化简:a += .5.已知三条线段的长分别为1.5,2,3,则下列线段中,不能与它们组成比例线段的是( ) A .lB .2.25C .D .2 6.若==(2b ﹣3d ≠0),则= .7.如图,如果AE ∥BD ,CD =20,CE =36,AC =27,那么BC = .8.如图,在△ABC 中,∠B =90°,AB =5cm ,BC =7cm ,点P 从点A 开始沿AB 边向点B 以1cm /s 的速度移动,同时点Q 从点B 开始沿BC 这向点C 以2cm /s 的速度移动.当一个点到达终点时另一点也随之停止运动,运动时间为x 秒(x >0) (1)求几秒后,PQ 的长度等于5cm ;(2)运动过程中,△PQB的面积能否等于8cm 2?说明理由.读安居育才 做中华英才精英之源 卓同首选九年级限时练(5)1.已知12,x x 是关于x 的一元二次方程()224410x m x m +++=的两个非零实数根,问12x x 与能否同号?若能同号,请求出相应的m 的取值范围;若不能同号,请说明理由.2.已知△ABC,延长BC 到D ,使CD=BC .取AB 的中点F ,连接FD 交AC 于点E . (1)求的值;(2)若AB=a ,FB=EC ,求AC 的长.3.如图,在△ABC 中,点D 在线段BC 上,∠BAD=75°,∠CAD=30°,AD=2,BD=2DC ,求AC 的长.九年级限时练(6)1计算:0622=--x x2.若一次函数23-=x y 的图象与xky =反比例函数的图象 (1)有两个不同交点,求K 的取值范围(2)有一个交点,求K 的值(3)没有交点,求K 的取值范围3.如图,已知在△ABC 中,D 是BC 上一点,E 为AD 的中点,BE 的延长线交AC 于F ,GD ∥AC 交BE 于G .(1)求证:GE=FE ;(2)若BD=BC ,CF=12,求AF 的长.读安居育才 做中华英才精英之源 卓同首选九年级限时练(7)1.已知1,2,x x 是一元二次方程 24420kx kx k -++=的两个实数根.是否存在实数k ,使()()12123222x x x x --=-成立?若存在,求出k 的值;若不存在,请您说明理由.2.已知x 1,x 2是关于x 的一元二次方程x 2﹣2(m+1)x+m 2+5=0的两实数根. (1)若(x 1﹣1)(x 2﹣1)=28,求m 的值;(2)已知等腰三角形ABC 的一边长为7,若x 1,x 2恰好是△ABC 另外两边的长,求这个三角形的周长.3.已知:平行四边形ABCD 的两边AB 、BC 的长是关于的方程21024m x mx -+-=的两个实数根.(1)试说明:无论取何值方程总有两个实数根(2)当为何值时,四边形ABCD 是菱形?求出这时菱形的边长; (3)若AB 的长为2,那么平行四边形ABCD 的周长是多少?九年级限时练(8)1.如图,BC 与DF 交于点,求证:∽.2,如果,试求k 的值.3.已知关于的方程.求证:无论为何值,方程总有两个不相等实数根.设方程的两实数根为,,且满足,求的值和相应的,.读安居育才 做中华英才精英之源 卓同首选九年级限时练(9)1.关于x 的方程21(1)(2)10m m x m x +++--=若为一元二次方程,则m = ;若为一元一次方程,则m = ;2.已知xy,则x y (>,<)3.计算:(1(24.解下列方程:(1)22((2y y +=+; (2)230x --=.5..已知关于x 的一元二次方程x 2-(2k+1)x+k 2+1=0有两个不等的实数根x 1,x 2. (1)求实数k 的取值范围;(2)若该方程的两个实数根x 1,x 2满足|x 1|+|x 2|=x 12+x 22-10,求k 的值.6.已知关于x 的一元二次方程2(3)30mx m x -++=总有两个不相等的实数根. (1)求m 的取值范围;(2)若此方程的两根均为正整数,求正整数m 的值.九年级限时练(10)1.已知x 是实数且满足(30x -=,则相应的代数式x 2+2x ﹣1的值为______ .2.计算:(22014(2015﹣2||)03.解方程(1) 22(1)1x x -=- (2) 22410a a -+= (用配方法解)4.已知a +b =-8,ab =8,化简5.关于x 的一元二次方程210x x P -+-=有两个实数根12x x ,.(1)求P 的取值范围.(2)如果1122[21][21()]9()x x x x +-+-=,求P 的值.6.已知关于x 的一元二次方程x 2﹣(k+2)x+2k =0. (1)求证:无论k 取何值,原方程总有实数根;(2)若原方程的两实根都小于4,且k 为正整数,直接写出k 的值.读安居育才 做中华英才精英之源 卓同首选九年级限时练(11)1.实数a 、b 、C 在数轴上的位置所示,那么化简|c +a|+﹣;2.若a 、b 是(b a ≠)的实数,且0132=+-a a ,0132=+-b b ;则221111b a +++的值是 ;3.21)2()12(18---+++ .7(52)6(52)x x x +=+4.5.已知:关于x 的一元二次方程kx 2+(2k -3)x+k -3 = 0有两个不相等实数根(k<0).(I )用含k 的式子表示方程的两实数根;(II )设方程的两实数根分别是1x ,2x (其中21x x >),若一次函数y=(3k -1)x+b 与反比例函数y =xb的图像都经过点(x 1,kx 2),求一次函数与反比例函数的解析式.九年级限时练(12)1.为使有意义,x 的取值范围是 ; 2.已知x =, y =,求:(1)x 2y ﹣xy 2的值;(2)x 2﹣xy +y 2的值.3.(2﹣)2018(2+)2019﹣2×|﹣|﹣()04.已知关于x 的一元二次方程01)5(2=-+-+k x k x . (1)无论k 为何值,方程总有两个不相等的实数根(2)若原方程的一个根大于3,另一个根小于3,求k 的最大整数值.5.某农场要建一个饲养场(矩形)ABCD 两面靠现有墙(AD 位置的墙最大可用长度为27米,AB 位置的墙最大可用长度为15米),另两边用木栏围成,中间也用木栏隔开,分成两个场地及一处通道,并在如图所示的三处各留1米宽的门(不用木栏).建成后木栏总长45米.设饲养场(矩形)ABCD 的一边AB 长为x 米.(1)饲养场另一边BC = 米(用含x 的代数式表示).(2)若饲养场的面积为180平方米,求x 的值.读安居育才 做中华英才精英之源 卓同首选九年级限时练(13)1.实数a 在数轴上的位置如图所示,化简()_______2|1|2=-+-a a .2. 已知关于x 的方程012=++bx ax 的两根为2121==x x ,,则方程()()01112=++++x b x a 的两根之和为 .3.解方程:()()04151222=+---x x 的解为 ;4.已知ABC ∆的三边分别为a 、b 、c ,且满足b a b 4142=-++,则c 的取值范围是 .5.如图,直线l 1∥l 2∥l 3,AC 分别交l 1,l 2,l 3于点A ,B ,C ;DF 分别交l 1,l 2,l 3于点D ,E ,F ;AC 与DF 交于点O .已知DE =3,EF =6,AB =4. (1)求AC 的长;(2)若BE :CF =1:3,求OB :AB .6.已知:如图,在△ABC 中,点M 为AC 边的中点,点E 为AB 上一点,且AB =4AE ,连接EM 并延长交BC 的延长线于点D ,求证:BC=2CD .九年级限时练(14)1.已知线段AB =10cm ,点P 是线段AB 的黄金分割点,且P A >PB ,则P A = cm .(精确到0.1)2.(1)已知=,求的值;(2)如图,在△ABC 中,E ,F 分别是AB 和AC 上的点,且EF ∥BC .如果AB =7, EB =5,FC=4,那么AF 的长是多少?3.如图,DE ∥BC ,DF ∥AC ,AD =6cm ,BD =8cm ,DE =5cm ,求线段BF 的长.4.如图,在平行四边形ABCD 中,点E 为边BC 上一点,联结AE 并延长交DC 的延长线于点M ,交BD 于点G ,过点G 作GF ∥BC 交DC 于点F ,=.(1)若BD =20,求BG 的长; (2)求的值.读安居育才做中华英才精英之源卓同首选九年级限时练(15)1.解答下列各题:(1)解方程:(x+2)(x+3)=2x+16(2)已知a、b、c均为非零的实数,且满足==,求的值2.已知a、b、c是△ABC的三边,且满足==,且a+b+c=12,请你探索△ABC的形状.3.如图,已知△ADE∽△ABC,且AD=6,AE=4,AB=12,求CD的长.4.如图,已知AD∥BE∥CF,它们依次交直线l1,l2于点A、B、C和点D、E、F ,=,AC=10.(1)求AB,BC的长;(2)如果AD=7,CF=12,求BE的长.九年级限时练(16)1.一个黄金矩形的长为2,则其宽等于.2.已知:线段a、b、c ,且==.(1)求的值.(2)如线段a、b、c满足a+b+c=27,求a﹣b+c的值.3.如图,四边形ABCD∽四边形A′B′C′D′,求边x、y的长度和角α的大小.4.如图,在△ABC中,点D在边AB上,点F、E在边AC上,DE∥BC,DF∥BE,求证:.5.已知:如图,在三角形ABC中,FG∥DE∥BC,且BD=DF=AF;求证:DE+FG=BC读安居育才 做中华英才精英之源 卓同首选九年级限时练(17)1.若=,且3x +2y ﹣z =14,求x ,y ,z 的值.2.如图,l 1∥l 2∥l 3,AB =3,AD =2,DE =4,EF =7.5.求BC 、BE 的长.3.如图,矩形ABCD ∽矩形ECDF ,且AB =BE ,求BC 与AB 的比值.4.如图,矩形ABCD 的花坛宽AB =20米,长AD =30米.现计划在该花坛四周修筑小路,使小路四周所围成的矩形A ′B ′C ′D ′与矩形ABCD 相似,并且相对两条小路的宽相等,试问小路的宽x 与y 的比值是多少,说出你的理由.5.如图,BC ,AD 相交于点C ,△ABC ∽△DEC ,AC =4.8,CD =1.6,BC =9.3. (1)求CE 的长;(2)求证:BC ⊥AD .九年级限时练(18)1.如图,D 、E 分别是AB 、AC 上的点,△ADE ∽△ACB ,且DE =4,BC =12,AC =8, AD 的长 .2. 如图所示,四边形ABCD ∽四边形A ′B ′C ′D ′,未知边x 的长度 和α的度数 .3.已知====k ,求k 值.2.如图,已知AD ∥BE ∥CF ,它们依次交直线l 1、l 2于点A 、B 、C 和D 、E 、F .若=,AC =14,(1)求AB 的长.(2)如果AD =7,CF =14,求BE 的长.3.已知:AB ⊥BC 于B ,CD ⊥BC 于C ,AB =4,CD =6,BC =14,点P 在BD 上移动,当以P ,C ,D 为顶点的三角形与△ABP 相似时,求PB 的长?读安居育才 做中华英才精英之源 卓同首选九年级限时练(19)1.如图,已知△ABC ∽△ADE ,AB =30cm ,BD =18cm ,BC =20cm ,∠BAC =75°,∠ABC =40°.求:(1)∠ADE 和∠AED 的度数;(2)DE 的长.2.如图,在△ABC 中,D 为边BC 上一点,已知,E 为AD 的中点,延长BE 交AC 于F ,求的值.3.如图,已知△ABC ∽△ADE ,AE =6cm ,EC =3cm ,BC =6cm ,∠BAC =∠C =47°. (1)求∠AED 和∠ADE 的大小;(2)求DE 的长.4.如图,在△ABC 中,EF ∥CD ,DE ∥BC .(1)求证:AF :FD =AD :DB ;(2)若AB =15,AD :BD =2:1,求DF 的长.九年级限时练(20)1.如图,在▱ABCD 中,E 是BC 延长线上的一点,AE 与CD 交于点F .求证:△ADF ∽△EBA .2.如图,BD 、AC 相交于点P ,连接BC 、AD ,且∠1=∠2,求证:△ADP ∽△BCP .3.如图,已知△ABC 中,AB =AC =,BC =4.线段AB 的垂直平分线DF 分别交边AB 、AC 、BC 所在的直线于点D 、E 、F .(1)求线段BF 的长; (2)求AE :EC 的值.3.已知:如图,点C ,D 在线段AB 上,△PCD 是等边三角形,且AC =1,CD =2,DB =4.求证:△ACP ∽△PDB .4中,E 是DC 上一点,连接AE .F 为AE 上一点,且∠BFE =∠C求证:△ABF ∽△EAD .九年级 数学限时练 第21页 共22页 九年级 数学限时练 第22页 共22页读安居育才 做中华英才精英之源 卓同首选九年级限时练(21)1.如图,在△ABC 中,AB =AC ,∠BAC =108°,点D 、E 分别在边BC 、边AB 上,且∠ADE =36°.求证:△ADC ∽△DEB .3.如图,△ABC 的高AD ,BE 交于点F .写出图中所有与△AFE 相似的三角形,并选择一个进行证明.3.如图,△ABC 是等边三角形,点D ,E 分别在BC ,AC 上,且BD =CE ,AD 与BE 相交于点F ,(Ⅰ)证明:△ABD ≌△BCE ; (Ⅱ)证明:△ABE ∽△F AE ; (Ⅲ)若AF =7,DF =1,求BD 的长.九年级限时练(22)1.如图,在等边三角形ABC 中,点D ,E 分别在BC ,AB 上,且∠ADE =60°. 求证:△ADC ∽△DEB .2.如图,已知∠BAE =∠CAD ,AB =18,AC =48,AE =15,AD =40. 求证:△ABC ∽△AED .3.已知:如图,在正方形ABCD 中,P 是BC 上的点,Q 是CD 上的点,且∠AQP =90°. 求证:△ADQ ∽△QCP .。
题型限时练(三)-黑龙江省海林市朝鲜族中学2020届高三英语一轮复习题(外研版)
基础自测(五十一)题型限时练(三)姓名:时间:35分钟Ⅰ.阅读理解A主题词数体裁旅行途中挽救生命298 记叙文On August 5 just after 7:30 pm, Mike Estepa suffered a massive heart attack. The crazy cyclist was 40 kilometres into his Sunday ride when he stopped by the side of the road to text his family saying he’d be home in about 30 minutes. Moments later, he was lying in the ditch, unconscious.Larissa Arthur was driving back to Calgary from a hike in Field, BC with a friend. It was a warm and sunny day, and the two were chatting when a flush of yellow caught Arthur’s eye. She immediately pulled off the road.As Arthur approached the figure, she feared the worst: Estepa was covered with ants and exhibited no signs of life. “There was no pulse and he wasn’t breathin g,” says Arthur. A bystander called 911 and Arthur, a registered nurse, started chest compression. She and two other drivers took turns carrying outCPR for the next 15 minutes before medical teams arrived and whisked Estepa away.Two days later, when Estepa woke up in the hospital, he was shocked to learn he had gone into cardiac arrest (心脏停搏). How did this happen, and,why was he lucky enough to have survived? He was full of gratitude and needed to speak with the woman who had saved him, whom he named his “angel”.“It was emotional,” says Arthur of her meeting with Estepa a few weeks later. Saving his life had extra importance for her: the hike she was returning from that day was one of 100 hikes she’s planned to honour her father, who died in 2017 after he fell during a hike that Arthur was meant to be on. “I couldn’t save my father’s life,” Arthur says, “but this was a chance for me to save someone.”()1.Why did Mike Estepa stop while riding?A.He suffered a heart attack.B.He wanted to send a message.C.He would like to lie in the ditch.D.He was too far away from his home.()2.What do we know about Arthur?A.She was an amateur nurse.B.She was scared of ants.C.She knew how to do CPR.D.She went cycling with a friend.()3.What did Arthur think of her saving Estepa?A.Grateful.B.Lucky.C.Significant.D.Natural.()4.What’s the best title of the text?A.A miracle to return to lifeB.An angel on the roadsideC.A risky cycling aloneD.A chance to save lifeB主题词数体裁大象无长牙345 说明文While elephants born without tusks(长牙) are not unheard-of, they normally are made up of just 2 to 6 per cent of the population. However, that is not the case at Mozambique’s Gorongosa National Park, where 33 per cent of female elephants born after the country’s civil war ended in 1992 are tuskless.This is not the first time researchers have observed a serious change in the population of elephants that have suffered severe poaching(偷猎) losses. At the Ruaha National Park in Tanzania, 35% of elephants 25 years or older and 13% of those younger than 25 are now without tusks. A 2008 study published in the African Journal of Ecology found that the number of tuskless females atZambia’s South Luangwa National Park went from 10.5 per cent in 1969 to almost 40 per cent in 1989, largely due to illegal hunting for ivory.Thus far, the result of poaching has largely affected female elephants. Poole explains, “Because males require tusks for fighting, tusklessness has been selected against in males, and very few males are tuskless. For African elephants, tuskless males have a much harder time breeding and do not pass on their genes(基因) as often as tusked males.”However, if the killing of males with the most impressive tusks continuesat this pace, it could result in a generation of elephants with much smaller tusks. Poole says, “If poachers select according to the size of tusks, they will tend tokill older males with very large tusks, therefore taking out of the population of breeding-aged males who also happen to have very big tusks. Those males then no longer pass on their genes for large tusks. In this manner, heavy poachingwill select out genes for large tusks.”The recent ban on ivory in both the US and China should help eliminate, or at least reduce, elephant poaching. However, scientists are not sure how long it will take for the elephants with a higher rate of tuskless females to reverse the trend.()5.What is the function of the first paragraph?A.To make comparisons.B.To introduce the topic.C.To appeal to attention.D.To give readers a surprise.()6.What may cause tuskless females to increase in Zambia?A.War’s effect.B.Imperfect management.C.Illegal hunting.D.The decrease of population.()7.What can we learn from what Poole says?A.Tuskless elephants are being neglected.B.Heavy poaching for large tusks will be forbidden.C.Tusklessness influences the heredity(遗传) of male elephants.D.Older males with very large tusks are soon dying out.()8.What does the underlined word “eliminate” in Parag raph 5 mean? A.Remove. B.Decline.pete.D.Unite.Ⅱ.完形填空主题词数体裁营救座头鲸290 记叙文A humpback whale was struggling hard in the sea. The humpbacks can weigh 40 tons and stretch 50 feet from nose to tail. That’s the kind of 1 and size that easily overturn small boats. To jump onto the 2of one ofthese giants is 3to result in a disaster. But that’s just what Sam Synslelien did when he saw a humpback 4caught in a rope that was 5to a buoy (浮标) in central California’s Morro Bay this week.Sam, along with crewmate Nicholas Taron, had already tried 6the unfortunate whale to the US Coastguard—but they were told it would be hours before 7could be sent. The commercial fishermen 8this whale didn’t have 9. If the whale was to 10they had to go and get it. There was no other 11for the whale. They decided to go for it, totally 12the fear. Taron’s 13in the rescue was mostly in the 14cheering department. In the clip, you can hear him directing the operation from the side of the boat while filming the entire 15.“Swim! Swim!” he yells. “Move! Just get it! Get it!”The anxious whale was just swimming in counter-clockwise circles, 16 and being held to the bottom. It threw its heavy tail against the boat. But Sam 17it and jumped onto the whale’s back to save its life. He managed to hang in there, 18cutting through the rope that 19the creature. And then with a whoosh (击水声), it dove deep down beneath the great 20. It wasn’t much of a thank you, but Synslelien and Taron were left with a whale of a tale. ()1.A.length B.violenceC.abilityD.weight()2.A.nose B.headC.backD.tail()3.A.willing B.likelyC.anxiousD.flexible()4.A.hopelessly B.looselyC.curiouslyD.secretly()5.A.stuck B.directedC.adjustedD.attached()6.A.shipping B.deliveringC.reportingD.hunting()7.A.boats B.rescuersC.fishermenD.experts()8.A.figured B.objectedC.hesitatedD.proved()9.A.strength B.advantages C.patience D.hours()10.A.paddle B.surviveC.relaxD.breathe()11.A.barrier B.accommodation C.option D.equipment()12.A.hiding B.exhibitingC.fosteringD.ignoring()13.A.interest B.ambitionC.roleD.contribution()14.A.disturbing B.enthusiasticC.clumsyD.scared()15.A.operation B.creatureC.performanceD.fighting()16.A.silent B.stressedC.confusedD.unconscious()17.A.wrestled B.spottedC.trainedD.approached()18.A.eventually B.naturallyC.directlyD.normally()19.A.prohibitedB.injuredC.tiedD.monitored()20.A.waves B.noisesC.ferryD.darknessⅢ.短文改错主题词数体裁植树118 记叙文It was fine in March 12, 2019. All the students in our school went to a hill to plant trees. The teacher asked each of us to plant at least six tree. Then we started to digging, planting and watering. We both worked so hard that we couldfinish our tasks ahead of time. Among them, Wang Lin, our monitor, sets a good example. Because he was ill, he worked even harder. When he finished his task, he went on to help others without little rest. He was wet all over afte r work. “I must learn from him,” I said to myself. Look at the lines of the young trees, we smiled happy, forgetting our tiredness.基础自测(五十一)Ⅰ.A【文章大意】本文是一篇记叙文。
“3+2选1”限时规范练(三)
三、中档大题,规范特训 “3+2选1”限时规范练(三)(时间:45分钟)1.如图,在平面四边形ABCD 中,已知A =π2,B =2π3,AB =6.在AB 边上取点E ,使得BE =1,连接EC ,ED .若∠CED =2π3,EC =7.(1)求sin ∠BCE 的值; (2)求CD 的长.[规范解答及评分标准] (1)在△BEC 中,由正弦定理,知BEsin ∠BCE =CEsin B .(2分)∵B =2π3,BE =1,CE =7, ∴sin ∠BCE =BE ·sin B CE =327=2114.(5分)(2)∵∠CED =B =2π3,∴∠DEA =∠BCE , ∴cos ∠DEA =1-sin 2∠DEA =1-sin 2∠BCE =1-328=5714.∵A =π2,∴△AED 为直角三角形,又AE =5, ∴ED =AEcos ∠DEA =55714=27.(9分)在△CED 中,CD 2=CE 2+DE 2-2CE ·DE ·cos ∠CED =7+28-2×7×27×⎝ ⎛⎭⎪⎫-12=49.∴CD =7.(12分)2.某省电视台为了解该省卫视一档成语类节目的收视情况,抽查东、西部各5个城市,得到观看该节目的人数的统计数据(单位:千人),并画出如下茎叶图,其中一个数字被污损.(1)求东部各城市观看该节目的观众的平均人数超过西部各城市观看该节目的观众的平均人数的概率;(2)该节目的播出极大地激发了观众对成语知识学习积累的热情,现从观看节目的观众中随机统计了4位观众学习成语知识的周均时间(单位:小时)与年龄(单位:岁),并制作了如下对照表:根据表中数据,试求线性回归方程y =b x +a ,并预测年龄为50岁的观众周均学习成语知识的时间.参考公式:b^=∑i =1nx i y i -n x -y -∑i =1nx 2i -n x -2,a ^=y --b ^x -.[规范解答及评分标准] (1)设被污损的数字为a ,则a 有10种情况.由88+89+90+91+92>83+83+87+90+a +99,得a <8,(2分)∴有8种情况使得东部各城市观看该节目的观众的平均人数超过西部各城市观看该节目的观众的平均人数,所求概率为810=45.(4分)(2)由表中数据,计算得x -=35,y -=3.5,(6分)b^=∑i =14x i y i -4x - y -∑i =14x 2i -4x -2=525-4×35×3.55400-4×352=7100, a ^=y --b ^x -=3.5-7100×35=2120.(8分)∴y ^=7100x +2120.(10分) 当x =50时,y ^=4.55.即预测年龄为50岁的观众周均学习成语知识的时间为4.55小时.(12分)3.如图,在三棱柱ABC -A 1B 1C 1中,平面A 1ACC 1⊥平面ABC ,AB =BC =2,∠ACB =30°,∠C 1CB =120°,BC 1⊥A 1C ,E 为AC 的中点.(1)求证:A 1C ⊥平面C 1EB ; (2)求二面角A 1-AB -C 的余弦值.[规范解答及评分标准] (1)∵BA =BC ,E 为AC 的中点,∴BE ⊥AC . 又平面A 1ACC 1⊥平面ABC ,平面A 1ACC 1∩平面ABC =AC ,BE ⊂平面ABC ,∴BE ⊥平面A 1ACC 1.(2分)又A 1C ⊂平面A 1ACC 1,∴BE ⊥A 1C . 又BC 1⊥A 1C ,BE ∩BC 1=B , ∴A 1C ⊥平面C 1EB .(4分)(2)以A 为坐标原点,建立如图所示的空间直角坐标系,设AA 1=x ,∠A 1AC =θ,则B (1,3,0),C (0,23,0),E (0,3,0),C 1(0,23+x cos θ,x sin θ).(6分)∴CB →=(1,-3,0),CC 1→=(0,x cos θ,x sin θ). 由cos 〈CB →,CC 1→〉=CB →·CC 1→|CB →|·|CC 1→|=-12,得-3x cos θ2x =-12,∴cos θ=33.则A 1⎝ ⎛⎭⎪⎫0,33x ,63x ,C 1⎝ ⎛⎭⎪⎫0,23+33x ,63x .于是A 1C →=⎝ ⎛⎭⎪⎫0,23-33x ,-63x ,BC 1→=⎝⎛⎭⎪⎫-1,3+33x ,63x , ∵A 1C →⊥BC 1→,∴⎝⎛⎭⎪⎫3+33x ⎝ ⎛⎭⎪⎫23-33x -63x ·63x =0,即x 2-x -6=0,解得x =3或x =-2(舍),(9分)故AA 1=3,则A 1(0,3,6),于是AA 1→=(0,3,6),AB →=(1,3,0). 设平面A 1AB 的法向量为n 1=(x ,y ,z ), 则⎩⎨⎧n 1·AA 1→=0n 1·AB →=0,即⎩⎨⎧3y +6z =0x +3y =0.取y =1,则z =-22,x =-3,∴n 1=⎝⎛⎭⎪⎫-3,1,-22.(11分)易得平面ABC 的一个法向量为n 2=(0,0,1), ∴cos 〈n 1,n 2〉=n 1·n 2|n 1|·|n 2|=-2292×1=-13,由图易知二面角A 1-AB -C 为锐角, 故二面角A 1-AB -C 的余弦值为13.(12分)请考生在第4、5题中任选一题作答,如果多做,则按所做的第一题计分.4.选修4-4:坐标系与参数方程在直角坐标系xOy 中,直线l :y =x ,圆C :⎩⎪⎨⎪⎧x =-1+cos φy =-2+sin φ(φ为参数),以坐标原点为极点,x 轴的正半轴为极轴建立极坐标系.(1)求直线l 与圆C 的极坐标方程;(2)设直线l 与圆C 的交点为M ,N ,求△CMN 的面积. [规范解答及评分标准] (1)将C 的参数方程化为普通方程,得(x+1)2+(y +2)2=1,(1分)∵x =ρcos θ,y =ρsin θ,∴直线l 的极坐标方程为θ=π4(ρ∈R ),(3分) 圆C 的极坐标方程为ρ2+2ρcos θ+4ρsin θ+4=0.(5分)(2)将θ=π4代入ρ2+2ρcos θ+4ρsin θ+4=0,得ρ2+32ρ+4=0,解得ρ1=-22,ρ2=-2,|MN |=|ρ1-ρ2|=2,(8分)∵圆C 的半径为1,∴△CMN 的面积为12×2×1×sin π4=12.(10分) 5.选修4-5:不等式选讲 已知函数f (x )=|x -a |-12x (a >0). (1)若a =3,解关于x 的不等式f (x )<0;(2)若对于任意的实数x ,不等式f (x )-f (x +a )<a 2+a2恒成立,求实数a 的取值范围.[规范解答及评分标准] (1)当a =3时,f (x )=|x -3|-12x ,即|x -3|-12x <0,(1分)原不等式等价于-x 2<x -3<12x ,(3分)解得2<x <6,故不等式的解集为{x |2<x <6}.(5分)(2)f (x )-f (x +a )=|x -a |-|x |+a2,原不等式等价于|x -a |-|x |<a 2,(6分)由三角绝对值不等式的性质,得|x -a |-|x |≤|(x -a )-x |=|a |,(8分)原不等式等价于|a|<a2,又a>0,∴a<a2,解得a>1.(10分)。
限时练三
湖北省襄阳36中学校2013-2014学年度高一语文期末限时练(三)1.下列各组词语中,加点字的注音全部正确的一组是A.颓圮(pǐ)弄堂(lîng)猗郁(yī)渐车帷裳(jiàn)B.訾詈(lì)间或(jiān)踯躅(zhí)冯虚御风(píng)C.门槛(kǎn)窈陷(yǎo)商贾(jiǎ)相形见绌(chù)D.澧水(lǐ)巉岩(chán)宫绦(tāo)含情凝睇(dì)2.下列各组词语中加点的字,读音全都不同的一组是A.佝偻./搂.抱逡.巡/竣.工江畔./羁绊.天寒地坼./过河拆.桥B.剽.掠/飘.摇赡.养/瞻.仰眩.晕/船舷.炮.烙酷刑/刨.根究底C.笑靥./厌.恶藐.视/渺.茫渌.水/露.水怵.然为戒/述.说身世D.聒.噪/搜括.衣袂./诀.别纤.细/鲜.艳间.或一轮/草菅.人命3.下列词语中加点的字,每对读音都不相同的一组是A.侥.幸/角.色栅.栏/莫名惊诧.瞠.目/交口称.赞B.蹩.脚/别.扭干涸./曲高和.寡徜.徉/逢场.作戏C.怆.然/创.伤蛊.惑/余勇可贾.诘.问/开花结.果D.盘踞./拮据.癖.好/否.极泰来摒.弃/敛声屏.息4.下列各组词语中加点的字,读音完全正确的一组是A.惫.(bâi)懒俨.(yán)然虾.(há)蟆陵间.(jiàn)或一轮B.参省.(xǐng)畏葸.(xǐ)窥.(kuī)周室养生丧.(sàng)死C.悄.(qiǎo)然欢谑.(xuâ)扁.(piān)舟子雕栏玉砌.(qì)D.肯綮.(qìng)披靡.(mí)暴.(pù)霜露垣.(yuán)墙周庭5.下列各组词语中,没有错别字的一组是A.篝火谛听蓊蓊郁郁殒身不恤 B.祈祷帐篷莫名其妙按步就班C.诅咒蜷缩旁稽博彩踌躇满志D.热衷隐瞒巅沛流离黯然失色6.下列词语中书写,没有错别字的一组是A.喟然歆享自鸣得意钟鼓撰玉B.锱珠肯綮孽根祸胎雕栏玉砌C.驯熟散漫畏葸不前抱薪救火D.饥馑纨绔人才挤挤璀璨夺目7.下列各项词语中,加线字注音全都正确的一项是()A.垓下(ɡāī)北渚(zhǔ)西阿(ē)回眸一笑(mïu)B.扁舟(piān)天姥(lǎo)荠麦(qí)妃嫔媵嫱(pín)C.披靡(mǐ)剽掠(biào)肯綮(qìnɡ)斩将刈旗(yì)D.溯流(shuî)桅杆(wãi)石扉(fēi)秋深潦缩(liáo)8.下列词语中没有错别字的一组是()A.泥淖杯盘狼藉哀声叹气坐收渔人之利B.喝彩扪参历井水泄不通无所不用其及C.忖度甘拜下风集思广益盛名之下,其实难副D.部署各行其事相辅相成金玉其外,败絮其中9.填入下列空白处最恰当的一项是()①永嘉之山,虽不及五岳之山体高大起伏,但小巧娇秀,静谧,脱尽脂粉气,雅气天然,总能引领许多人前来唱酬交往。
2021年5月考前保温选择题限时练3(带解析)
考前保温选择题专项限时练3(25分钟)(2021·德州二模)海外园是指政府或企业在境外建设或参与建设的基础设施较为完善的各类园区。
目前,中国与“一带一路''沿线国家海外园区建设势头良好,沿线国家中有一百多个海外园区已建成或即将建成,成为“中国模式''发展的重要特征。
俄罗斯、越南、巴基斯坦、老挝、印度、哈萨克斯坦、缅甸等国是海外园区建设比较多的国家。
据此完成1~2题。
1.影响海外园区建设的首要因素是()A.自然资源B.产业基础C.政治局势D.经济合作2.我国中小企业海外投资首选海外园区,主要是为了()A.充分利用劳动力B.优化投资结构C.降低内部交易成本D.完善园区产业链(2021·青岛二模)九嶷山地区位于湘南地区,是我国重要的锡成矿区之一。
区内构造经历了多期构造活动,不同走向断裂不仅反映了断裂构造的时空演化关系,而且还体现了断裂构造的成矿作用。
出露地层依次为海相沉积的乙地层和 E 地层及浅海台地相沉积的D 地层,后期在一些断陷盆地中发育陆相沉积的K 地层。
区内花岗质岩体出露广泛,自西向东由金鸡岭、砂子岭、西山等岩体组成。
图 2 示意九嶷山地区断裂分布。
据此完成3~5 题。
3.图中锡矿带易出露的区域是()A.①B.②C.③D.④4. a、b、c、d 四处断裂构造,形成时间最晚的是()A.aB.bC.cD.d5.断裂带本身及其旁侧与外围相比,在含水性、岩石成分以及结构特征等方面均存在较明显的差异。
利用该差异制作区域断裂分布图,借助的主要地理信息技术是()A.地理信息系统B.遥感技术C.北斗导航系统D.数字地球(2021·广东佛山二模)地表反照率表征地面对太阳辐射的吸收和反射能力。
古尔班通古特沙漠位于新疆北部的准噶尔盆地,图5为该沙漠某月26日~28日降雪前后地表反照率日变化图。
完成下列6~8题。
6.古尔班通古特沙漠出现降雪最可能在A.1月28日B.4月27日C.10月26日D.12月27日7.据图判断,地表反照率的大小总体上A.雪后晴天>雪前晴天>雪天B.雪天>雪后晴天>雪前晴天C.雪后晴天>雪天>雪前晴天D.雪前晴天>雪后晴天>雪天8.研究发现,被稳定积雪覆盖的古尔班通古特沙漠地温会偏高一些,主要原因A.沙子反射地面辐射少B.积雪减少地面辐射散失C.沙子吸收太阳辐射多D.积雪吸收大气辐射较多(2021·潍坊一模)北洛河位于黄土高原中南部,是黄河下游河道泥沙的主要来源区之一。
2020年人教版英语必修三:双基限时练【3】(含答案解析)
2020年精编人教版英语资料双基限时练(三)Unit 1Part ⅢⅠ.单词拼写1.________ (提醒) me to buy some milk tonight.答案Remind2.Her poems were full of ________ (悲伤).答案sadness3.She w________ her hands on a clean towel.答案wiped4.You must a________ to your teacher for the rude things you said to her.答案apologise/apologize5.It is ________ (明显的) that such a little boy can't move the big box.答案obviousⅡ.单句语法填空(不多于3个单词)1.The football match lasted two hours, which made all the players ________ of breath.答案与解析out out of breath“上气不接下气”,符合句意。
2.Victor apologized for his not ________ (be) able to inform me of the change in the plan.答案与解析being apologize for“因……而道歉”,其后应接动名词,不接不定式,his not being able ...为动名词的复合结构,his 是动名词的逻辑主语,口语中可换为him。
3.What he said just now reminded me ________ that Americanprofessor.答案与解析of句意:他刚才说的话使我想起了那位美国教授。
remind sb. of sth.意为“提醒某人某事或使某人想起某事”。
人教版高一英语 限时练3-4
Olympic fans should consider visiting the Beijing Olympic Park to check out the special buildings of the so-called “Bird’s Nest” and “Water Cube”—the national stadium and aquatics center built for the 2008 Beijing Olympics. Popular historic places in Beijing include the Forbidden City the Summer Palace, and Tian’anmen Square.
寒假英语作业限时练(3)
第Ⅰ卷(共55分)
第二部分阅读理解(共两节,满分40分)
第一节(共11小题,每小题2.5分,满分27.5分)
阅读下列短文,从每题所给的四个选项(A、B、C和D)中,选出最佳选项,并在答题卡上将该项涂黑。
A
Since the modern Olympics began in 1896, it has been held in more than 40 different cities. That gives Olympic fans quite a few possible travel destinations to choose!
4.How long did the taikonauts live in space?
A.About 134 daysB.Less than 90 daysC.24 daysD.3 months
5.What does the underlined word “extravehicular” in Paragraph 4 mean?
限时练3 蓝细菌、酵母菌、病毒-2024年高三二轮复习生物学(配人教版)
限时练3蓝细菌、酵母菌、病毒(时间:30分钟)【精准强化】焦点1蓝细菌、酵母菌1.(2023·四川成都七中诊断)下列关于黑藻、蓝细菌、根尖分生区细胞以及叶肉细胞基本共性的描述中,正确的是()A.均具有将CO2转变成为有机物的能力B.均存在ATP与ADP相互转化的能量供应机制C.遗传信息均储存在脱氧核糖核苷酸分子中D.均有以磷脂双分子层作为基本支架的生物膜系统2.(2023·兰州一中质检)项圈藻是固氮蓝细菌中的一种,分裂产生的子代互相不脱离,连成蓝绿色念珠状群体,形似“项圈”而得名。
项圈藻的众多细胞中有极个别形状较大而无色的个体,称为异形胞,该异形胞具有固氮功能。
下列相关叙述正确的是()A.项圈藻呈蓝绿色是因为其叶绿体中含有叶绿素和藻蓝素B.项圈藻细胞中不会出现DNA和蛋白质结合所形成的复合体C.项圈藻细胞和低等绿色植物细胞分裂过程中都会出现纺锤丝D.项圈藻中异形胞的形成是基因的选择性表达的结果3.(2023·山东泰安模拟)发菜是一种非常细小的可食用物质,用它来做汤非常鲜美,价格也非常贵。
它于1999年被我国列为国家一级重点保护生物。
下列相关叙述正确的是()A.发菜细胞中既有DNA也有RNA,两者都是发菜的遗传物质B.发菜和水绵都能进行光合作用且捕获光能的色素种类相同C.虽然发菜的结构较简单,但其遗传也遵循孟德尔的遗传定律D.发菜细胞和哺乳动物成熟的红细胞中都没有线粒体4.(2023·广东汕头调研)下列关于酵母菌在“发面”过程生理活动的叙述,错误的是()A.“面团发起”的原因是酵母菌进行细胞呼吸产生CO2的结果B.发面过程中,酵母菌分解丙酮酸的场所是线粒体和细胞质基质C.酵母菌的细胞膜是其进行细胞呼吸的场所D.发面过程酵母菌既进行了吸能反应,也进行了放能反应5.(2023·河北九师联盟)下列关于酵母菌的叙述错误的是()A.酵母菌同时属于生命系统中的细胞层次和个体层次B.将酵母菌破碎后,利用差速离心法可分离出多种细胞器C.发酵好的面团中的小泡与酵母菌细胞呼吸产生的CO2有关D.用抽样检测法对酵母菌计数时,不统计压在方格线上的个体6.(2023·三湘名校联考)酵母菌往往聚集在一起生活,在营养物质匮乏状态下酵母菌菌落中衰老的个体会发生程序性死亡。
甘肃省武威市铁路中学2014届高三数学(理)专题训练:选择填空限时练(三)Word版含答案
(推荐时间:45分钟)一、选择题1. 设A ,B 是非空集合,定义A ×B ={x |x ∈(A ∪B )且x ∉(A ∩B )},已知A ={x |0≤x ≤2},B={y |y ≥0},则A ×B 等于( )A .(2,+∞)B .[0,1]∪[2,+∞)C .[0,1)∪(2,+∞)D .[0,1]∪(2,+∞)答案 A解析 由题意知,A ∪B =[0,+∞),A ∩B =[0,2]. 所以A ×B =(2,+∞).2. 命题“对任意的x ∈R ,x 3-x 2+1≤0”的否定是( )A .不存在x ∈R ,x 3-x 2+1≤0B .存在x ∈R ,x 3-x 2+1≥0C .存在x ∈R ,x 3-x 2+1>0D .对任意的x ∈R ,x 3-x 2+1>0 答案 C3. 给出下面四个命题:①“直线a ∥直线b ”的充要条件是“a 平行于b 所在的平面”; ②“直线l ⊥平面α内所有直线”的充要条件是“l ⊥平面α”;③“直线a ,b 为异面直线”的充分不必要条件是“直线a ,b 不相交”;④“平面α∥平面β”的必要不充分条件是“α内存在不共线三点到β的距离相等”. 其中正确命题的序号是( )A .①②B .②③C .③④D .②④答案 D解析 当a 平行于b 所在平面时,a ,b 可能异面,故①不正确;当a 、b 不相交时,可能a ∥b ,故③不正确;由此可排除A 、B 、C ,故选D.4. 设向量a =(cos α,sin α),b =(cos β,sin β),其中0<α<β<π,若|2a +b |=|a -2b |,则β-α等于( )A.π2B .-π2C.π4D .-π4答案 A解析 由|2a +b |=|a -2b |得3|a |2-3|b |2+8a·b =0,而|a |=|b |=1,故a·b =0,即cos(α-β)=0,由于0<α<β<π,故-π<α-β<0,故α-β=-π2,即β-α=π2.选A.5. 已知{a n }为等差数列,其公差为-2,且a 7是a 3与a 9的等比中项,S n 为{a n }的前n 项和,则S 10的值为( )A .-110B .-90C .90D .110答案 D解析 a 7是a 3与a 9的等比中项,公差为-2, 所以a 27=a 3·a 9,所以a 27=(a 7+8)(a 7-4),所以a 7=8,所以a 1=20,所以S 10=10×20+10×92×(-2)=110.6. 设双曲线x 2a 2-y 2b2=1(a >0,b >0)的渐近线与抛物线y =x 2+1相切,则该双曲线的离心率等于( )A. 3B .2C. 5D. 6答案 C解析 设切点P (x 0,y 0),则切线的斜率为y ′|x =x 0=2x 0. 由题意有y 0x 0=2x 0,又y 0=x 20+1,解得x 20=1,所以ba =2,e =1+⎝⎛⎭⎫b a 2= 5.7. 设随机变量ξ服从正态分布N (16,σ2),若P (ξ>17)=0.35,则P (15<ξ<16)=( )A .0.35B .0.85C .0.3D .0.15答案 D解析 由正态分布的对称性知,P (ξ>16)=0.5, 又P (ξ>17)=0.35,所以P (16<ξ<17)=0.5-0.35=0.15. 于是P (15<ξ<16)=P (16<ξ<17)=0.15.8. 若某空间几何体的三视图如图所示,则该几何体的体积是( )A .4 2B .2 2C.423 D.223答案 B解析 该几何体是底面是直角三角形的直三棱柱,由三棱柱体积公式V =S底h 可得V=2 2.9. 设函数f (x )=sin(ωx +φ)+cos(ωx +φ)⎝⎛⎭⎫ω>0,|φ|<π2的最小正周期为π,且f (-x )=f (x ),则( )A .y =f (x )在⎝⎛⎭⎫0,π4上单调递减 B .y =f (x )在⎝⎛⎭⎫π4,3π4上单调递减 C .y =f (x )在⎝⎛⎭⎫0,π2上单调递增 D .y =f (x )在⎝⎛⎭⎫π4,3π4上单调递增 答案 A解析 变形f (x )=sin(ωx +φ)+cos(ωx +φ) =2sin ⎝⎛⎭⎫ωx +φ+π4. 又f (-x )=f (x ),得函数为偶函数,故φ+π4=k π+π2(k ∈Z ).∴φ=k π+π4(k ∈Z ).∵|φ|<π2,∴φ=π4.又T =π,∴ω=2.∴f (x )=2sin ⎝⎛⎭⎫2x +π2=2cos 2x . 结合图象知A 正确.10.(2013·山东)函数y =x cos x +sin x 的图象大致为( )答案 D解析 函数y =x cos x +sin x 为奇函数,排除B.取x =π2,排除C ;取x =π,排除A ,故选D.11.设m >1,在约束条件⎩⎪⎨⎪⎧y ≥x ,y ≤mx ,x +y ≤1下,目标函数z =x +my 的最大值小于2,则m 的取值范围为( )A .(1,1+2)B .(1+2,+∞)C .(1,3)D .(3,+∞)答案 A解析 画出可行域,可知z =x +my 在点⎝⎛⎭⎫11+m ,m1+m 取最大值,由11+m +m 21+m<2解得1<m <1+ 2. 12.函数f (x )的定义域为R ,f (-1)=2,对任意x ∈R ,f ′(x )>2,则f (x )>2x +4的解集为( )A .(-1,1)B .(-1,+∞)C .(-∞,-1)D .(-∞,+∞)答案 B解析 f ′(x )>2转化为f ′(x )-2>0, 构造函数F (x )=f (x )-2x , 得F (x )在R 上是增函数.又F (-1)=f (-1)-2×(-1)=4,f (x )>2x +4, 即F (x )>4=F (-1),所以x >-1. 二、填空题13.若直线y =kx -1与圆x 2+y 2=1相交于P 、Q 两点,且∠POQ =120°(其中O 为原点),则k 的值为________. 答案 ±3解析 圆心O 到直线y =kx -1的距离d =1k 2+1=12, ∴k =±3.14.若执行如图所示的程序框图,输入x 1=1,x 2=2,x 3=3,x =2,则输出的数等于________.答案 23解析 通过框图可以看出本题的实质是求x 1,x 2,x 3的方差,根据方差公式得 输出S =13[(1-2)2+(2-2)2+(3-2)2]=23.15.若圆x 2+y 2-4x -4y -10=0上至少有三个不同点到直线l :ax +by =0的距离为22,则直线l 的斜率的取值范围是________. 答案 [2-3,2+3]解析 圆x 2+y 2-4x -4y -10=0可转化为(x -2)2+(y -2)2=(32)2,∴圆心的坐标为(2,2),半径为32,要求圆上至少有三个不同的点到直线l :ax +by =0的距离为22,则圆心到直线l 的距离应小于等于2, ∴|2a +2b |a 2+b 2≤2,∴⎝⎛⎭⎫a b 2+4⎝⎛⎭⎫a b +1≤0,∴-2-3≤a b ≤-2+3,又直线l 的斜率k =-ab ,∴2-3≤k ≤2+3,即直线l 的斜率的取值范围是[2-3,2+3]. 16.已知如下等式:3-4=17(32-42),32-3×4+42=17(33+43),33-32×4+3×42-43=17(34-44),34-33×4+32×42-3×43+44=17(35+45),则由上述等式可归纳得到3n -3n -1×4+3n -2×42-…+(-1)n 4n =________(n ∈N *).答案17[]3n +1-(-4)n +1。
人教版新高考英语二轮复习习题训练--30分语言运用限时满分练(三)
30分语言运用限时满分练(三)(限时25分钟)Ⅰ.完形填空(共15小题; 每小题1分, 满分15分)(2021·山东济南高三高考适应性考试)Last month, Koch went to make breakfast and found a(n)1 guest using his pool. A large moose(驼鹿) was swimming in the deep end, 2 in the solar cover(太阳能覆盖膜).“I looked out in the backyard and there was the moose absolutely panicked and3,” Koch told The Dodo. “She stepped on the solar cover and put her 4 through it and she was 5 trying to get free.”Koch noticed some wildlife around his home in Ottawa,6 he had never seen an animal 7 impressive before. He rushed outside and pulled the solar cover off the 8 moose, who continued paddling 9 the pool, proving to be a surprisingly skilled swimmer.The wild moose seemed to be having trouble finding her way out of the pool, so Koch called the police and wildlife services to see if they could 10 a hand. “She looked so pitifully sad out there that my wife said, ‘I want to give her a 11.’”Workers from wildlife services intended that they would get her to a safer spot, but they couldn’t 12it until she was out of the water. “The best thing that happened was that after 3.5 hours she climbed out of the shallow end and 13 the fence,” Koch said.The moose 14 unscratched, but the same can’t be said for Koch’s pool, which now has two hoof-sized holes in the 15.rmal B.ordinaryualD.uninvited2.A.abandoned B.wrappedC.removedD.forbidden3.A.struggling B.shakingC.shoutingD.searching4.A.shoulder B.footC.faceD.back5.A.narrowly B.likelyC.desperatelyD.unwillingly6.A.for B.soC.butD.or7.A.this B.wellC.almostD.rather8.A.relaxed B.happyC.tiredD.poor9.A.around B.beneathC.outsideD.beyond10.A.donate B.hurtC.lendD.cure11.A.lift B.hugC.smileD.credit12.A.update B.witnessC.cancelD.manage13.A.watched out B.cut downC.jumped overD.dived into14.A.escaped B.participatedC.hesitatedD.insisted15.A.top B.bottomC.wallD.coverⅡ.语篇填空(共10小题; 每小题1.5分, 满分15分)(2021·宁夏银川高三教学质量检测)Connect Online to meet OfflineIn our information technology society, we often have 16.(much) communication online than offline. For example, just compare the number of people to 17. you have sent online messages with that of people you 18.(meet) in the past two weeks.However, there are now mobile apps which allow you 19.(connect) with strangers online and then meet in person, and I’m not talking about dating apps! Rather, I’m referring to apps which help to connect people with similar interests who live in the same city. To begin with, get online and find a group that 20.(interest) you. Then, simply join 21. group. As long as you’re in a group with like-minded people, you will be able to enjoy 22.(do) the same activities together. You can do this 23. free, although some apps will ask you to pay if you want to create an interest group.There is a wide 24.(vary) of interest groups out there, such as those for hiking, football, photography, board games, poetry, or dog owners. You name it, and they’ve got it! This is 25.(real) a great way to network and meet people if you’re new to a city, or simply to make new friends.30分语言运用限时满分练(三)【语篇导读】本文是一篇记叙文。
高考语文-限时组合快练 快练3 Word版含解析.doc
快练3语言基础知识+名篇名句默写+实用类、论述类文本阅读(1)一、语言基础知识1.下列词语中,加点字的注音全都正确的一项是()A.发酵.(xiào)卤.味(lǔ)电饭煲.(bāo) 正当.防卫(dànɡ)B.豆豉.(chǐ) 掺.杂(cān)摆噱.头(xué) 叨.陪鲤对(tāo)C.鸭肫.(zhūn) 毗邻.(lín)腌笃.鲜(dǔ) 按捺.不住(nài)D.苋.菜(xiàn) 绯.闻(fēi)鸡血.石(xuè) 空穴.来风(xué)答案 D解析A项“酵”读jiào。
B项“掺”读chān。
C项“捺”读nà。
2.下列各句中,没有错别字的一项是()A.卢沟桥畔的枪炮声越来越密,侵华日军的铁蹄越逼越近,销烟战火根本容不得抗战将士有片刻迟疑,战士即时赶赴战斗一线,誓与卢沟桥共存亡。
B.瘦西湖位于扬州市北郊,在清代康乾时期已形成基本格局,经过多年的打造,运用造园艺术的特点,因地制宜地建造了很多风景建筑。
C.宋代画家李成博学多才,胸有大志,但没有社会舞台供其施展才干,他只好寄情山水,在氤氲的水墨间畅游人生,甚至放浪行骸。
D.《鬼吹灯之寻龙诀》用“中国故事”和“中国情怀”拍出“中国式大片”,民族电影工业崛起而与好莱坞分庭抗理,变得不再遥远。
答案 B解析A项销—硝。
C项行—形。
D项理—礼。
3.下列各句中,标点符号使用正确的一项是()A.各地媒体几乎同时出现了这么一个词——“堵车”。
北京成了“首堵”,连武汉这样的二线城市也常常堵到半个城市交通瘫痪。
我们不禁感慨:中国已进入全民“豪堵”时代。
B.休闲方式各种各样:古人看戏,今人看电视;乡下人在大树下闲聊,城里人在电脑上聊QQ,真是因时而异,因人而异呀。
C.课文《重新创造的艺术天地》选自《论诗》(青海人民出版社1985年版),作者谢冕,原文题目是《漫步在诗的郊野——关于诗歌欣赏的通信》,选入教材时有删改。
2020年人教版英语必修二双基限时练【3】Unit 1 Part Ⅲ(含答案)
2020年精编人教版英语资料双基限时练(三)Unit 1Part ⅢⅠ.单词拼写1.By the time the case comes to ________(审判),he will have spent a year in prison.答案trial2. The kids watched as the coin ________(下沉) to the bottom of the pool.答案sank3. Two guards stood at the main ________(入口) to the cinema.答案entrance4. The bomb ________(爆炸) in the centre of the city.答案exploded5. There was much lively ________ (辩论) about whether women should spend more time in the home.答案debate6. Do you have enough ________ (证据) to prove that you are right?答案evidence7. The two groups met for ________ (非正式的) talks.答案informal8. They were both experienced ________ (水手).答案sailorsⅡ.用适当的介词填空1.The man entered the room ________ the back door.答案by2.Much ________ Mr. Lin's surprise, Miss Li alone got three gold medals.答案to3.Apart ________ his being late that morning, he also had bad manners.答案from4.The climate here doesn't agree ________ me.答案with5.After the earthquake, the injured were cared ________ in the local hospitals.答案forⅢ.翻译句子1.我们就如何解决彼此的争执进行了争论。
郑州四中2022届限时练(三) 英语考试试题
绝密★启用前9月18日下午6点前郑州四中2022届限时练(三)英语试题总分:105分时间:80分钟(6:30-7:50)第一部分单项选择:(每题0.5分,共10分。
用时:10分钟)(1)I don’t mind going there on foot. ________, the walk will do me good.A. BesideB. BesidesC. BelowD. Because(2)Brazil ________ Italy in the final, 2-1.A. foughtB. blessedC. beatD. avoided(3)It’s important to understand people from different ________.A. basisB. blocksC. behaviorsD. backgrounds(4)The radio stops working because the battery is ________.A. slowB. flatC. belowD. behind(5)Bill had done everything he could ________ to me.A. avoid talkingB. to avoid talkingC. avoid to talkD. to avoid to talk(6)I ________ my balance and fell on my face.A. keptB. 1ostC. recoveredD. gained(7)Riding a bike helps develop a child’s sense of____________.A. beingB. blankC. balanceD. behavior(8)My leg really hurts —— I'm not sure how much longer I can ________ it.A. bearB. bendC. blessD. betray(9)I _______ the days which I spent in pursuing knowledge and building character.A. benefitB. am beneficial toC. benefit fromD. am of benefit to(10)I almost fell over the chair; put it back where it ________.A. belongsB. blowsC. bearsD. boils(11)The flight was already fully ________; no more seats were available.A. bookedB. borrowedC. canceledD. calculated(12)There’s nothing to do here —— kids get ________!A. boredomB. boringC. boredD. to be bored(13)She ________ in tears when she heard the sad news.A. broke offB. broke upC. broke outD. broke down(14)It was impossible to see everything during our ________ visit to Paris.A. boundB. briefC. brilliantD. bright(15)While she was in prison,friends used to ________ her books and written materials.A. bringB. takeC. fetchD. carry (16)The room is three meters long and two meters ________.A. widthB. boardC. broadD. abroad(17)In my days, children were ________ to respect the law.A. called upB. brought upC. broken upD. built up(18)The students are kept busy ________ for the coming exams in June.A. preparedB. preparingC. to prepareD. being prepared(19)There’s tea and coffee —— you can have ________.A. bothB. eitherC. allD. neither(20)Excuse me, ________ I’m afraid this is a no-smoking area.A. andB. forC. butD. so第二部分阅读理解(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,从每题所给的A、B、C和D四个选项中,选出最佳选项。
中考物理复习命题点 实验探究、综合应用题组限时练(三)
无关
②根据A、C、D图的结果,可得浮力和物体浸入液体的深度______(选填
“有关”或“无关”);根据A、B、C图的结果,可得物体所受浮力大小与
排开液体的体积
________________有关;
③为了研究浮力大小与液体密度的关系,如图C、 E 所示,分别将塑料瓶
浸没在水和盐水中,比较弹簧测力计的示数,可得出结论:物体排开液体
动力做功的功率: =
=
.×
= . × .
21.某学校科技小组为杜绝餐饮浪费的行为,为
学校餐厅设计了如图甲所示的电路,控制电路
的电源电压恒为 6 V , 0 的阻值为 100 Ω ,
1 为压敏电阻,其阻值随压力大小变化的图像
如图乙所示,学生就餐完毕将剩余食物和餐盘
秒表
______.
第17题图
(2)点燃酒精灯时,打开灯帽,可闻到淡淡的酒精味,说明酒精分子在
不停地做无规则运动
____________________.
(3)当乙温度计示数达到 99 ℃ 后保持不变,但试管中的水始终没有沸
试管中的水达到沸点后不能继续吸热
腾,其原因是__________________________________.
由图乙可知,此时压敏电阻受到的压力 = ,因食
物和餐盘对称重盘的压力等于自身的重力,所以,称重
盘中食物和餐盘的总质量的限定值:
=
=
=
/
= . = ;
第21题图
(3)当称重盘中食物和餐盘的总质量为 400 g 时,压敏电阻 1 的电功率
(4)当小李同学在烧杯的水中加入少量的食盐后,发现试
高三年级化学限时练(3)
高三年级化学限时练(3) 2014.9.15出题人:潘振伟选择题(每小题只有1个选项符合题意。
)1.氰酸铵(NH4OCN)与尿素[CO(NH2)2]A.都是共价化合物B.都是离子化合物C.互为同分异构体D.互为同素异形体2.下列有关化学用语表示正确的是A.丙烯的结构简式:C3H6B.氯原子的结构示意图:C.氢氧根离子的电子式:D.中子数为146、质子数为92的铀(U)原子14692U3.中学化学中很多“规律”都有其使用范围,下列根据有关“规律”推出的结论合理的是A.根据同周期元素的第一电离能变化趋势,推出Al的第一电离能比Mg大B.根据主族元素最高正化合价与族序数的关系,推出卤族元素最高正价都是+7C.根据溶液的pH与溶液酸碱性的关系,推出pH=6.8的溶液一定显酸性D.根据较强酸可以制取较弱酸的规律,推出CO2通入NaClO溶液中能生成HClO4.某元素只存在两种天然同位素,且在自然界它们的含量相近,其相对原子质量为152.0,原子核外的电子数为63。
下列叙述中错误的是A.它是副族元素B.它是第六周期元素C.它的原子核内有63个质子D.它的一种同位素的核内有89个中子5.下列说法正确的是A.能与酸反应的氧化物,一定是碱性氧化物B.Li、Na、K的密度逐渐增大C.Cl2、Br2、I2中,由于分子间作用力逐渐越大,所以分子越来越稳定D.物质溶于水时,有些化学键被破坏,有些化学键不被破坏6.影片《阿凡达》出现了一种潘多拉星球的宇宙飞船。
右表是元素周期表中的一部分,表中所列字母分别表示一种元素。
(选项中的物质都是由下表中的元素组成)根据以上信息可推断下列说法正确的是A.e和f组成的化合物可吸收宇航员在宇宙飞船活动舱内产生的由d和f组成的气体B.活动舱内还要营造一种适合宇航员生存的人工生态环境,即充入a和f的常见单质C.c和f以原子个数之比为1∶1组成的化合物可用作宇航员所需f单质的来源D.若潘多拉星球上存在32b,地球上此元素主要以42b形式存在,32b比42b少一个质子7.R、W、X、Y、Z为原子序数依次递增的同一短周期元素,下列说法一定正确的是(m、n均为正整数A.若R(OH)n为强碱,则W(OH)n+1也为强碱B.若H n XO m为强酸,则Y是活泼非金属元素C.若Y的最低化合价为-2,则Z的最高正化合价为+6D.若X的最高正化合价为+5,则五种元素都是非金属元素8.下列叙述正确的是A.正四面体构型的分子中键与键之间的夹角均是109°28′B.粒子间以分子间作用力结合而成的晶体其熔点一般不会很高C.离子晶体中含有离子键,不能含有共价键D.金属阳离子只能存在于离子晶体中9.六种短周期元素A、B、C、D、E、F的原子序数依次增大,其中A与E同主族,B与F同主族,E与F同周期。
高考数学复习要限时定量进行“三练”
张祖寅是无锡市第一中学的数学高级教师、无锡市名教师,他建议,在最后两个多月的数学复习中,要按照《考试说明》将知识点整体梳理一遍,寻找试题规律,在做题训练时尽量选择难度适中的综合卷。
把握考试内容要按《考试说明》要求复习备考,加强针对性的专题训练,要挑选导向性好、难度适中的综合卷进行考前适应性训练,特别要重视完卷之后的总结反思,找准薄弱环节,对易出错的地方要分析原因,减少失误。
寻找试题规律高考试题有很强的规律性,题目的表达形式可以千变万化,但其考查的思想方法是不会变的。
因此,建议考生们把前五年的江苏高考题做一做,可以发现函数与方程思想、数形结合思想、分类讨论思想、特殊化方法等是必考的。
数学思想方法是概括了大量事实与理论后所产生的本质认识,把在个别的零散的解题活动中所使用的方法统一到数学思想方法的高度,就能抓住解决数学问题的共性,再用这样的思想方法反作用于解题,就会使得解题更有方向性。
从宏观层面上把握解题活动,解题会更具整体化、更准确、更灵活,甚至有所创新。
落到实处的做法是把一些常用方法上升到一般意义。
比如消元法,一般都是局限在几个等式的条件下的消元,或代入或加减。
消元法可扩充到数列的“相除消元”,不等式的“放缩消元”。
考生们需要像参加高考一样,认真对待每一次模拟考试,以期巩固复习成果,提高解题速度,积累考试经验。
限时定量训练二轮复习的主旋律是“练”,但要追求练的有效性。
改变练习形式提高练习效率的主要做法有“专项练”“纠错练”和“限时练”。
“专项练”是围绕一个话题专门训练,如定期训练一卷定型题,一次训练一个题型,或者专门训练填空题,专门训练二卷某个题型,或者根据专题复习的进度训练专题相关的问题。
“纠错练”是针对阶段复习,发现错点立即纠错集中训练,发现疑点和盲点要及时“清零”,要走出“容易出错的地方真错了”的怪圈,对事故易发地带有意识地加以强化纠错训练,隔一段时间都要进行一次体检,看看哪些毛病已痊愈,那些顽症尚未根除,又新犯了什么“毛病”。
北师大版高中英语北必修四:双基限时练【3】(含答案)
双基限时练(三)Unit 10Grammar 1 Ⅰ.用适当的不定代词填空1.There isn't ________ chalk in the classroom. Please get ________ for me.答案any; some2.Some people like to stay at home on Sunday, but ________ like to go to the cinema.答案others3.Jim lent me two English books, but ________ of them was easy enough for me.答案neither4.The trousers are too long. Would you please show me ________ pair?答案another5.Last week they planted lots of flowers on ________ side of the road.答案each6.The boy is standing with ________ hands in the pockets.答案both7.Mr. Gao wants to teach his students ________ he knows.答案all8.I met ________ of my friends here — about three.答案 a few9.All horses are animals, but not ________ animals are horses.答案all10.I wanted two tickets, but there were/was ________ left.答案none11.Larry asks Bill and Peter to go on a picnic with him, but ________ of them wants to, because they have work to do.答案与解析neither句意:Larry让Bill和Peter和他一起去野餐,但是他们两个人没有一人想去,因为他们都有工作要做。
【金牌教程】模拟限时练3-新高考英语二轮专题复习冲刺
模拟限时练(三)(时间:40分钟)Ⅰ.阅读A(2022·广东省广州市普通高中毕业班二模)Like humans, animals need sleep too. A big problem for animals in the wild is keeping their enemies away while they sleep. Animals take care of this problem in different ways.Anolis lizards live in many areas including tropical rainforests. They often sleep on leaves at the end of long branches. A leaf might seem like a strange bed, but it works like an alarm. If a hungry snake wiggles a branch, the lizard wakes up and leaps to safety.Chimpanzees take their sleep very seriously. Each day, a chimpanzee builds itself a new, comfortable bed to sleep in. Scientists believe chimpanzees carefully choose a tree that is strong, where they build a nest using branches and leaves.Parrotfish live among coral reefs in oceans. Every night, parrotfish usually sleep close to the rock in sheltered places. Some parrotfish go one step further by quickly making a slime layer that covers their whole body. This covering acts like a sleeping bag that provides a barrier against danger.Bottle-nosed dolphins need to sleep, but they have to be on the ocean's surface to breathe. They also need to watch over their young. What do they do? While half of the dolphin's brain sleeps, the other half stays awake. After a while, the sleeping half wakes up while the other half snoozes.Sooty terns have the most amazing sleep. They nest on islands. When they are not nesting, they live for many years in the sky and on the sea's surface. When and where can they sleep? Scientists believe they are able to sleep while they are flying, staying out of the reach of enemies.篇章导读:本文是一篇说明文。
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2.1.3—2.1.4空间中直线与平面、平面与平面之间的位置关系
一、选择题
1以下命题正确的是 ( )
A两个平面可以只有一个交点
B.一条直线与一个平面最多有一个公共点
C.两个平面有一个公共点,它们可能相交
D.两个平面有三个公共点,它们一定重合
2.下列命题中正确的是()
A.空间三点可以确定一个平面
B.梯形一定是平面图形
C.若A,B,C,D既在平面α内,又在平面β内,则平面α和平面β重合
D.两组对边都相等的四边形是平面图形
3.设P表示一个点,a、b表示两条直线,α、β表示两个平面,给出下列四个命题,其中正确的命题是()
①P∈a,P∈α⇒a⊂α
②a∩b=P,b⊂β⇒a⊂β
③a∥b,a⊂α,P∈b,P∈α⇒b⊂α
④α∩β=b,P∈α,P∈β⇒P∈b
A.①②B.②③
C.①④D.③④
4.若一直线a在平面α内,则正确的图形是()
5.平面α∥平面β,AB、CD是夹在α和β间的两条线段,E、F分别为AB、CD的中点,则EF与α的关系是()
A.平行 B.相交 C.垂直 D.不能确定
6.已知平面α//平面β,若两条直线m、n分别在平面α、β内,
则m、n的位置关系不可能是()
A.平行B.相交C.异面D.平行或异面
7.经过平面外两点与这个平面平行的平面()
A .只有一个
B .至少有一个
C .可能没有
D 有无数个
8.若不共线的三点到平面a 的距离相等且不为0,则该三点确定的
平面b 与平面a 的关系为( )
A .平行
B .相交
C .平行或相交
D .重合
9.一条直线与两条异面直线中的一条平行,则它和另一条的位置关系是( B )
A.平行或异面
B.相交或异面
C.异面
D.相交
10. 在长方体ABCD -A 1B 1C 1D 1中,AB=BC=2a ,AA 1=a 。
则AD 与BC 1所成角的正切值为 A. A 21 B. 1 C.2 D. 2
3 11.下列命题正确的有( )
A .若直线与平面有两个公共点,则直线在平面内
B .若直线l 上有无数个点不在平面α内,则//l α
C .若直线l 与平面α相交,则l 与平面α内的任意直线都是异面直线
D .如果两条异面直线中的一条与一个平面平行,
则另一条直线一定与该平面相交。
12、在空间,下列命题错误的是( )
A .若两个平面有一个公共点,则它们有无数个公共点
B .已知四个点不共面,则其中任意三点不共线
C .若点A 在平面α内,又在平面β内,则α和β相交,且点A 在交线上
D .平面α和平面β相交,则α内的直线和β内的直线一定相交
二.填空题
13.正方体ABCD —A 1B 1C 1D 1中,A 1A 和D 1C 1所成的角是 ,AC 和A 1B 1所成的角是 ,DA 1和AC 所成的角是 ,AC 与D 1B 1所成的角是 ,AD 1和DC 1所成的角是 .
14. 如图,正方体ABCD —A 1B 1C 1D 1中,与AD 1异面
且与AD 1所成角为90º的面对角线共有____条.
三.解答题: 15.如图所示,正方体ABCD —A 1B 1C 1D 1中,
(Ⅰ)求AC 与A 1D 所成的角的大小; (Ⅱ)求A 1C 与AD 1所成角的大小; (Ⅲ)若E 、F 分别为AB 、AD 的中点,
求BC 1与EF 所成角的大小。
1A 1
1C A 1。