课时规范训练(35)

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高中政治必修一课时规范训练:综合练(3)

高中政治必修一课时规范训练:综合练(3)

第三课综合练一、选择题1.下面四幅图中,在其他条件不变时,相对比较正确地反映了家庭消费与居民收入之间的关系的是()解析:选C。

收入是消费的前提和基础,所以是正函数,但收入并不是影响消费的唯一因素,影响消费的因素除了收入之外还有物价、消费心理等,因此变化应该是平滑式的抛物线,答案为C项。

2.一般说来,当人均收入达到一定水平时,这个地方就会出现拆旧房盖新房的高潮。

改革开放以来,我国许多农民把草房改建成瓦房,又从瓦房搬进了楼房。

这一现象证明()A.家庭消费是个人消费行为,与社会无关B.改变消费结构就能提高消费水平C.收入水平的提高将导致消费水平的提高D.消费为生产创造动力,生产是消费的目的答案:C3.近年来,我国高档商品的消费以年均两位数的速度增长。

这表明()①我国居民发展资料和享受资料的消费逐渐增加②消费结构会随着经济的发展、收入的增加而不断变化③居民当前的可支配收入增多④居民消费已从发展资料消费向享受资料消费转变A.①②③B.②③④C.①②④D.①③④解析:选A。

本题可用排除法解答。

根据近年来高档商品的消费以年均两位数的速度增长就说居民消费已从发展资料消费向享受资料消费转变太断章取义了。

高档商品的增长是事实,但我国多数居民的消费还达不到转向享受资料消费的水平,故应排除④,选A项。

4.张女士由于工作流动性较大,每到一地都是租房、租车,非常省心。

可每到一处都需要家具,而购置一套简单的家具至少也需要花去她3个月的工资,令其烦恼,于是她决定也租家具。

对此,下列说法正确的是()A.张女士通过租赁消费提高了商品的使用价值B.张女士通过租赁消费提高了商品的价值量C.张女士对租到的物品暂时拥有其使用权D.张女士对租到的物品暂时拥有其所有权解析:选C。

租赁消费不会提高商品的使用价值和价值量,故A、B两项不选。

租赁消费只是暂时获得该商品的使用权,而不是所有权,故选C项,排除D项。

5.消费有不同的类型,我们最常见的有钱货两清的消费。

2025优化设计一轮课时规范练35 三角函数的图象与性质

2025优化设计一轮课时规范练35 三角函数的图象与性质

故 D 正确.故选 BD.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
9.(2022·新高考Ⅰ,6)记函数 f(x)=sin +

<T<π,且
3
A.1
y=f(x)的图象关于点
3
B.2

,2
2
π
4
+b(ω>0)的最小正周期为 T.若
中心对称,则 f
π
π
当 k0=0 时,-2 ≤ ≤0,取 φ=-4 ,
π
所以满足条件的一个正弦型函数为 f(x)=2sin(2x- ).
4
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
12.(2024·河北承德模拟)已知 ω>1,函数
π
f(x)=cos(ωx- ).
π

故函数 f(x)的单调递增区间为(kπ+ ,kπ+ ),k∈Z.
12
12
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
A )
3.(2024·广西玉林模拟)若函数f(x)=asin x+1的最大值为4,则函数
g(x)=cos(ax+1)的最小正周期为( D )
3
3
π
π
π
π
则-3 +kπ≤x≤kπ+6 ,k∈Z,故 f(x)的单调递增区间为[-3 +kπ,kπ+ 6 ],k∈Z.
π π
π
π
π π
π
(2)由 x∈[6 , 3 ],则设 t=ωx-3 ∈[ 6 -3 , 3 - 3 ],

福建专用高考英语一轮复习课时规范练35Unit20(含解析)北师大版

福建专用高考英语一轮复习课时规范练35Unit20(含解析)北师大版

课时规范练35 Unit20(35分钟)Ⅰ.阅读理解A(2018·全国Ⅱ卷)Many of us love July because it’s the month when nature’s berries and stone fruits are in abundance.Thesecolourful and sweet jewels from British Columbia’s fields are little powerhouses of nutritional protection.Of the common berries,strawberries are highest in vitamin C,although,because of their seeds,raspberries contain a little more protein(蛋白质),iron and zinc(not that fruits have much protein).Blueberries are particularly high in antioxidants(抗氧化物质).The yellow and orange stone fruits such as peaches are high in the carotenoids we turn into vitamin A and which are antioxidants.As for cherries(樱桃),they are so delicious who cares?However,they are rich in vitamin C.When combined with berries or slices of other fruits,frozen bananas make an excellent base for thick,cooling fruit shakes and low fat “ice cream”.For this purpose,select ripe bananas for freezing as they are much sweeter.Remove the skin and place them in plastic bags or containers and freeze.If you like,a squeeze of fresh lemon juice on the bananas will prevent them turning brown.Frozen bananas will last several weeks,depending on their ripeness and the temperature of the freezer.If you have a juicer,you can simply feed in frozen bananas and some berries or sliced fruit.Out comes a “soft-serve” creamy dessert,to be eaten right away.This makes a fun activity for a children’s party;they love feeding the fruit and frozen bananas into the top of the machine and watching the ice cream come out below.1.What does the author seem to like about cherries?A.They contain protein.B.They are high in vitamin A.C.They have a pleasant taste.D.They are rich in antioxidants.2.Why is fresh lemon juice used in freezing bananas?A.To make them smell better.B.To keep their colour.C.To speed up their ripening.D.To improve their nutrition.3.What is “a juicer” in the last paragraph?A.A dessert.B.A drink.C.A container.D.A machine.4.From which is the text probably taken?A.A biology textbook.B.A health magazine.C.A research paper.D.A travel brochure.B(2018·江苏无锡期中)A new app is trying to make it simpler to help you react to photos and videos that your friends post online—it’s using AI to capture(捕捉) your facial expressions and automatically translate them into a range of emoji faces.Polygram,which is free and available only for the iPhone for now,is a social app that lets you share things like photos,videos,and messages.Unlike on Facebook,though,where you have a small range of pre-set reactions to choose from beyond clicking a little thumbs-up icon,Polygram uses a neural(神经的)network that runs locally on the phone to figure out if you’resmiling,bored,embarrassed,surprised,and more.MarcinKmiec,one of Polygram’s founders,says the app’s AI works by capturing your face with the front-facing camera on the phone and analyzing the images as quickly as possible,rather than just looking at specific points on the face like your eyes and nose.“This is done directly on the phone,using the iPhone’s picture processing unit,”he says.When you look at a post in the app,you see a small yellow emoji on the bottom of the display,its expression changing along with your real one.There’s a slight delay—20 milliseconds,which is just hard to notice—between what you’re expressing on you r face and what shows up in the app.The app records your response(s) in a little log of emoji on the side of the screen,along with those of others who’ve already looked at the same post.The app is meant to appeal to those who really care about how they’re understood on social ers can see a record of the emoji reactions to each photo or video they post to the app,as well as details about who looked at the post,how long they looked at it,and where they’re located.Eventually,the founders say,they may release software tools that let other developers come up with their own applications for the technology.5.As a new social app,which characteristic of Polygram is TRUE?A.It is cheap and available only for the iPhone for now.B.It eventually transfers emoji faces to facial expressions automatically.C.Itspecialises in a neural network that runs originally on your phone.D.It needs to choose from many reactions that have been set previously.6.Those who will be obviously attracted by this new app.A.are new technology fansB.are addicted to new iPhonesC.have great passion for emojisD.are concerned about self-evaluation7.What’s the purpose of the passage?A.To promote and sell a new software.B.To introduce to us a new and popular app.C.To reveal the significance of new technology.D.To inform us of the popularity of a new app.Ⅱ.七选五阅读(2017·全国Ⅲ卷)根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。

人教版高中化学必修第二册课时规范练 第5章 化工生产中的重要非金属元素 第2节 第2课时 氨和铵盐

人教版高中化学必修第二册课时规范练 第5章 化工生产中的重要非金属元素 第2节 第2课时 氨和铵盐

第2课时氨和铵盐课后·训练提升学考过关检验1.下列说法中正确的是( )。

A.氨水的密度比水的密度小,且浓度越大,密度越大B.氨是无色无臭的气体C.可用向上排空气法收集氨D.氨溶于水所得的溶液可使酚酞溶液变为红色2.下列关于氨的喷泉实验形成的原理解释正确的是( )。

A.氨呈碱性B.氨极易溶于水,烧瓶内外形成压强差C.氨易液化D.NH3溶于水后形成的溶液易挥发,是由于胶头滴管挤入的少量水可使烧瓶内的氨迅速溶于水,烧瓶内外产生了压强差。

3.将湿润的红色石蕊试纸放在进行下列实验的试管口,试纸不变蓝的有( )。

A.加热浓氨水B.加热NH4Cl和浓NaOH的混合溶液C.加热NH4Cl和Ca(OH)2的混合物D.加热饱和NH4Cl溶液4.现欲分离氯化钠和氯化铵的混合物,可采用的方法是( )。

A.加入NaOH溶液B.加入AgNO3溶液C.加热并冷却D.加入水受热没有明显变化,NH4Cl加热分解,同时生成的NH3和HCl气体导出后又能迅速化合生成NH4Cl。

5.下列关于氨的叙述中,正确的是( )。

A.氨因为有刺激性气味,因此不用来作制冷剂B.氨具有还原性,可以被氧化为NOC.氨极易溶于水,因此氨水比较稳定(不容易分解)D.氨溶于水显弱碱性,因此可使石蕊溶液变为红色,所以氨具有制冷作用,液氨常用作制冷剂,A项错误;氨中氮元素为最低负化合价-3价,氨能够被氧化生成一氧化氮,B项正确;一水合氨不稳定,受热易分解,C项错误;氨溶于水显弱碱性,因此可使石蕊溶液变为蓝色,D项错误。

6.下列装置用于进行指定实验时,能达到实验目的的是( )。

A.用装置甲制备氨B.用装置乙除去氨中的少量水C.用装置丙收集氨D.用装置丁吸收多余的氨,A错误;氨能与浓硫酸反应,B错误;装置丙中只有进气口,没有出气口,C错误;氨在水中的溶解度极大,被水吸收时容易发生倒吸,装置丁可以防止倒吸,D正确。

7.某同学探究氨和铵盐的性质,相关实验操作及现象描述正确的是( )。

2024年高考总复习优化设计一轮用书数学配北师版(适用于新教材)课时规范练35

2024年高考总复习优化设计一轮用书数学配北师版(适用于新教材)课时规范练35

课时规范练35《素养分级练》P316基础巩固组1.如图所示,α∩β=l,A∈α,B∈α,AB∩l=D,C∈β,C∉l,则平面ABC与平面β的交线是()A.直线ACB.直线ABC.直线CDD.直线BC答案:C解析:由题意知,D∈l,l⊂β,∴D∈β.又D∈AB,∴D∈平面ABC,即点D在平面ABC与平面β的交线上.又C∈平面ABC,C∈β,∴点C在平面ABC与平面β的交线上,∴平面ABC∩平面β=CD.故选C.2.如图所示,在空间四边形ABCD中,E,H分别是边AB,AD的中点,F,G分别是边BC,CD上的点,且CF CB =CGCD=23,则下列说法正确的是()①E,F,G,H四点共面②EF与GH异面③EF与GH的交点M可能在直线AC上,也可能不在直线AC上④EF与GH的交点M一定在直线AC上A.①③B.①④C.②③D.②④答案:B解析:在空间四边形ABCD中,E,H分别是边AB,AD的中点,则EH∥BD,且EH=12BD,F,G分别是边BC,CD上的点,且CFCB =CGCD=23,则FG∥BD,且FG=23BD,因此FG∥EH,点E,F,G,H四点共面,故①正确,②错误;FG∥EH,FG>EH,即四边形EFGH是梯形,则EF与GH必相交,令交点为M,点M 在EF上,而EF在平面ACB上,则点M在平面ACB上,同理点M在平面ACD上,则点M是平面ACB与平面ACD的公共点,而AC是平面ACB与平面ACD的交线,所以点M一定在直线AC上,故④正确,③错误.3.如图所示,在直三棱柱ABC-A1B1C1中,∠BCA=60°,M,N分别是A1C1,CC1的中点,BC=CA=CC1,则BN与AM所成角的余弦值为()A.35B.45C.23D.34答案:A解析:取BB1的中点Q,AC的中点P,连接C1Q,PQ,C1P,则BN∥C1Q,AM∥C1P,∴∠QC1P为BN与AM所成角.由题可知直三棱柱ABC-A1B1C1为正棱柱,设BC=2,则AM=BN=√5,PQ=2,在△PQC1中,可得cos∠PC1Q=2×√5×√5=35,∴BN与AM所成角的余弦值为35.4.(多选)(2023·江苏南京一中高三检测)在四面体ABCD中,M,N,P,Q,E分别为AB,BC,CD,AD,AC 的中点,则下列说法正确的是()A.M,N,P,Q四点共面B.∠QME=∠CBDC.△BCD∽△MEQD.四边形MNPQ为梯形答案:ABC解析:对于A,易知MQ∥BD,NP∥BD,则MQ∥NP,所以M,N,P,Q四点共面,故A正确;对于B,根据等角定理,得∠QME=∠CBD,故B正确;对于C,由等角定理,知∠QME=∠CBD,∠QEM=∠BCD,所以△BCD ∽△MEQ ,故C 正确;对于D,易知MQ ∥BD ,MQ=12BD ,NP ∥BD ,NP=12BD ,所以MQ ∥NP ,MQ=NP ,所以四边形MNPQ 为平行四边形,故D 不正确.故选ABC.5.三条不同的直线a ,b ,c ,若a ∥b ,c 与a ,b 都相交,则a ,b ,c 三条直线能确定的平面的个数是 . 答案:1解析:由直线a ∥b ,可得直线a ,b 可以唯一确定一个平面,设该平面为α.设a ∩c=A ,b ∩c=B ,可得A ∈α,B ∈α.因为A ∈c ,B ∈c ,所以c ⊂α.所以a ,b ,c 三条直线能确定的平面的个数是1.综合提升组6.若∠AOB=∠A'O'B',OA ∥O'A',且OA 与O'A'的方向相同,则OB 与O'B'( ) A.一定平行且方向相同B.一定平行且方向相反C.一定不平行D .不一定平行 答案:D解析:如图, 若∠AOB=∠A'O'B',OA ∥O'A',且OA 与O'A'的方向相同,则OB 与O'B'不一定平行.7.如图,在正方体ABCD-A 1B 1C 1D 1中,AB=1,DD 1中点为Q ,则过A ,Q ,B 1三点的截面面积为 .答案:98解析:如图所示,取C 1D 1的中点P ,连接PQ ,PB 1,AB 1,AQ 和DC 1.∵P ,Q 分别是C 1D 1,DD 1的中点,∴PQ ∥C 1D ,且PQ=12C 1D.∵AB 1∥C 1D ,∴PQ ∥AB 1,PQ=12AB 1.∴四边形AB 1PQ 是过A ,Q ,B 1三点的截面,且四边形AB 1PQ 是梯形.∵AB=1,∴AB 1=√12+12=√2,PQ=√22,AQ=PB 1=√12+(12) 2=√52,且等腰梯形AB 1PQ 的高为√(√52) 2-[12×(√2-√22)]2=32√2.∴截面面积为12×√22+√2×32√2=98.创新应用组8.(2023·河南安阳高三开学考试)一封闭的正方体容器ABCD-A1B1C1D1,P,Q,R分别是AB,BC和C1D1的中点,由于某种原因,P,Q,R处各有一个小洞,当此容器内存水的表面恰好经过这三个小洞时,容器中水的上表面形状是()A.三角形B.四边形C.五边形D.六边形答案:D解析:如图,设过P,Q,R三点的平面为平面α.分别取A1D1,A1A,CC1的中点F,E,M,连接RF,FE,EP,PQ,QM,MR,EM,QF,RP.易知RF∥PQ,所以F∈平面α.又RP∥MQ,所以M∈平面α.又EF∥RP,所以E∈平面α.所以过P,Q,R三点的平面为六边形RFEPQM.故容器中水的上表面的形状是六边形.。

人教版高考生物学一轮总复习课后习题 课时规范练29

人教版高考生物学一轮总复习课后习题 课时规范练29

课时规范练29《课时规范练》P455一、选择题1.某人因啃咬过硬的食物,口腔黏膜中的毛细血管受损,导致形成暗红色的血疱。

如果血疱不大,几天后会自行消失。

下列分析正确的是( )A.血疱中所含的细胞外液主要是组织液和血液B.血疱呈暗红色是因为血浆蛋白渗入其中C.血疱自行消失是因为其中的液体全部渗回毛细血管D.血疱的形成和消失说明内环境中的物质是不断更新的2.(天津模拟)下图中的A、B、C、D分别表示组成人体体液的4种主要成分。

下列相关叙述错误的是( )A.图中B、C、D共同构成人体的内环境B.A、B、C、D中都能完成ATP的合成与水解,为生命活动的正常进行提供能量C.从物质含量的角度比较,C与B、D最大的区别是C中含有较多的蛋白质D.B中有包括细胞代谢产物在内的各种物质,其中少部分被吸收转化为D3.(广东模拟)高原反应亦称高山病,是人体急速进入海拔3 000米以上高原暴露于低压低氧环境后产生的各种不适,是高原地区独有的常见病。

常见的症状有头痛、失眠、食欲减退、疲倦、呼吸困难等,还可能引起颜面水肿、血液中红细胞和血红蛋白的数量增多。

下列叙述错误的是( )A.血红蛋白数量增多会引起血浆渗透压增大B.高原反应说明环境条件会影响人体内环境的稳态C.高原反应说明人体维持稳态的调节能力是有一定限度的D.高原反应引起颜面水肿可能与细胞外液渗透压的改变有关4.下图为人体体液物质交换示意图,下列叙述正确的是( )A.淋巴细胞只生活在④中B.②中可能存在神经递质、激素和胰蛋白酶等物质C.①中的物质可直接来自细胞内液、组织液和淋巴液D.①②③④等构成的内环境稳态是机体进行正常生命活动的必要条件,①是血浆,②是组织液,③是细胞内液,④是淋巴液。

淋巴细胞所处的内环境是淋巴液和血浆,A项错误;胰蛋白酶属于胰液的成分,通过导管进入消化道,不属于内环境成分,不会存在于②(组织液)中,B项错误;①是血浆,血浆和组织液、血细胞的细胞内液之间都有双向的物质交换,淋巴液对血浆有单向的物质交换,因此血浆中的物质可直接来自组织液、细胞内液和淋巴液,C项正确;内环境由①②④构成,③是细胞内液,不属于内环境,D项错误。

课时规范训练(一)

课时规范训练(一)

课时规范训练A基础巩固练1.(多选题)下列各组对象能构成集合的有()A.接近于1的所有正整数B.小于0的实数C.(2023,1)与(1,2023)D.某校高一(1)班的聪明学生解析:BC A中,接近于1的所有正整数标准不明确,故不能构成集合;B 中小于0是一个明确的标准,能构成集合;C中(2023,1)与(1,2023)是两个不同的点,是确定的,能构成集合;D中“某校高一(1)班的聪明学生”中“聪明”的标准不确定,因而不能构成一个集合.2.给出下列关系:①13∈R;②5∈Q;③-3∉Z;④-3∉N,其中正确的个数为()A.1B.2C.3D.4解析:B 13是实数,①正确;5是无理数,②错误;-3是整数,③错误;-3是无理数,④正确.故选B.3.下列说法中正确的是()A.某学校高一(8)班比较漂亮的女生能确定一个集合B.由1,32,64,⎪⎪⎪⎪⎪⎪-12,0.5组成的集合有5个元素C.将小于100的自然数按从小到大的顺序排列和按从大到小的顺序排列分别得到两个不同的集合D.方程x2+1=2x的解集中只有一个元素解析:D A是错误的,因为“漂亮”是个模糊的概念,因此不满足集合中元素的确定性;B是错误的,32=64,⎪⎪⎪⎪⎪⎪-12=0.5,根据互异性,得由1,32,64,⎪⎪⎪⎪⎪⎪-12,0.5组成的集合只有3个元素:1,32,0.5;C是错误的,根据集合中元素的无序性可知,小于100的自然数无论按什么顺序排列,构成的集合都是同一集合;D是正确的,方程x2+1=2x有两个相等的解,即x1=x2=1,其解集中只有一个元素,故D正确.4.下列各组中,集合P与Q表示同一个集合的是()A.P是由元素1,3,π构成的集合,Q是由元素π,1,|-3|构成的集合B.P是由π构成的集合,Q是由3.141 59构成的集合C.P是由2,3构成的集合,Q是由有序数对(2,3)构成的集合D.P是满足不等式-1≤x≤1的自然数构成的集合,Q是方程x2=1的解集解析:A由于A中P,Q的元素完全相同,所以P与Q表示同一个集合,而B,C,D中P,Q的元素不相同,所以P与Q不表示同一个集合.5.已知集合M是方程x2-x+m=0的解组成的集合,若2∈M,则下列判断正确的是()A.1∈M B.0∈MC.-1∈M D.-2∈M解析:C由2∈M知2为方程x2-x+m=0的一个解,所以22-2+m=0,解得m=-2.所以方程为x2-x-2=0,解得x1=-1,x2=2.故方程的另一根为-1.6.(多选题)集合A中含有三个元素2,4,6,若a∈A,且6-a∈A,那么a 可以为()A.2 B.-2C.4 D.6解析:AC若a=2,则6-2=4∈A;若a=4,则6-4=2∈A;若a=6,则6-6=0∉A.7.已知集合P中元素x满足:x∈N,且2<x<a,又集合P中恰有三个元素,则整数a=________.解析:因为x∈N,2<x<a,且集合P中恰有三个元素,易知a=6.答案:68.若由a ,b a ,1组成的集合A 与由a 2,a +b ,0组成的集合B 相等,则a 2023+b 2023的值为________.解析:由已知可得a ≠0,因为两集合相等,又1≠0,所以b a =0,所以b =0,所以a 2=1,即a =±1,又当a =1时,集合A 不满足集合中元素的互异性,舍去,所以a =-1. 所以a 2023+b 2023=-1.答案:-19.已知集合A 含有两个元素a -3和2a -1,a ∈R .(1)求实数a 的取值范围;(2)若a ∈A ,求实数a 的值.解:(1)如果a -3=2a -1,则a =-2.由于a -3,2a -1是集合A 含有的两个元素,所以实数a ≠-2.(2)因为a ∈A ,所以a =a -3或a =2a -1.当a =a -3时,0=-3,不成立;当a =2a -1时,a =1,此时A 中有两个元素-2,1,符合题意,综上所述,实数a 的值为1.B 能力进阶练10.若集合A 的元素y 满足y =x 2+1,集合B 的元素(x ,y )满足y =x 2+1(A ,B 中x ∈R ,y ∈R ),则下列选项中元素与集合的关系都正确的是( )A .2∈A 且2∈BB .(1,2)∈A 且(1,2)∈BC .2∈A 且(3,10)∈BD .(3,10)∈A 且2∈B解析:C 集合A 中的元素为y ,是数集,又y =x 2+1≥1,故2∈A ;集合B 中的元素为点(x ,y )且满足y =x 2+1,经验证,(3,10)∈B ,故选C .11.(多选题)由a 2,2-a ,4组成一个集合A ,且集合A 中含有3个元素,则实数a 的取值不可能是( )A .1B .-2C .-1D .2解析:ABD 由题意知a 2≠4,2-a ≠4,a 2≠2-a ,解得a ≠±2,且a ≠1,即a 的取值不可能是1,±2.12.已知集合A 含有两个元素1和2,集合B 表示方程x 2+ax +b =0的解组成的集合,且集合A 与集合B 相等,则a =________,b =________.解析:因为集合A 与集合B 相等,且1∈A ,2∈A ,所以1∈B ,2∈B ,即1,2是方程x 2+ax +b =0的两个实数根.所以⎩⎨⎧1+2=-a ,1×2=b ,所以⎩⎨⎧a =-3,b =2.答案:-3 213.已知集合A 的元素是a ,b ,2,集合B 的元素是2,b 2,2a ,若A =B ,求实数a ,b 的值.解:由已知A =B 得⎩⎨⎧a =2a ,b =b 2,① 或⎩⎨⎧a =b 2,b =2a ,② 解①得⎩⎨⎧a =0,b =0或⎩⎨⎧a =0,b =1.解②得⎩⎨⎧a =0,b =0或⎩⎪⎨⎪⎧a =14,b =12.又由集合元素的互异性,得⎩⎨⎧a =0,b =1,或⎩⎪⎨⎪⎧a =14,b =12.C 探索创新练14.已知a ∈A 且4-a ∈A ,a ∈N 且4-a ∈N ,则:(1)若A 中只有1个元素,则a =________;(2)若A有且只有2个元素,则集合A的个数是________.解析:因为a∈A且4-a∈A,a∈N且4-a∈N,若a=0,则4-a=4,此时A满足要求;若a=1,则4-a=3,此时A满足要求;若a=2,则4-a=2.此时A含1个元素.答案:(1)2(2)2。

全称量词与存在量词

全称量词与存在量词

6.已知命题p:∃x∈R,x2+4x+a=0,若命题p是假命题,则实数a的取
值范围是( B )
A.0<a<4
B.a>4
C.a<0
D.a≥4
解析:B 因为p是假命题,所以方程x2+4x+a=0没有实数根,即Δ=16
-4a<0,即a>4.
11
必备知识 自主学习 关键能力 互动探究 课时规范训练
解:(1)是全称量词命题,表示为∀x∈N,x2≥0. (2)是存在量词命题,表示为∃x∈R,满足x2≥2. (3)是存在量词命题,表示为∃x∈R,|x|≤0. (4)是存在量词命题,∃a∈R,函数y=ax+b的值随x的增大而增大.
12
必备知识 自主学习 关键能力 互动探究 课时规范训练
(1)含参数的全称量词命题为真时,常与不等式恒成立有关,可根据有 关代数恒等式,确定参数的取值范围;
(2)含参数的存在量词命题为真时,常转化为方程或不等式有解问题来 处理,可借助根的判别式等知识解决.
21
必备知识 自主学习 关键能力 互动探究 课时规范训练
跟踪训练 2.已知集合A={x|-2≤x≤5},B={x|m+1≤x≤2m-1},且B≠∅,若 命题p:“∀x∈B,x∈A”是真命题,求m的取值范围.
2 1
3 4 5 6 7 8 9 10 11 12 13 14
25
必备知识 自主学习 关键能力 互动探究 课时规范训练
解析:B A 中,锐角三角形的内角是锐角或钝角是全称量词命题;B 中, 当 x=0 时,x2=0,所以 B 既是存在量词命题又是真命题;C 中,因为 3+(-
3)=0,所以 C 是假命题;D 中对于任一个负数 x,都有1x<0,所以 D 是假命 题.
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课时规范训练(三十五)Ⅰ.阅读理解AMore students than ever before are taking a gap-year(间隔年)before going to university.It used to be called the “year off” between school and university.The gap-year phenomenon originated(起源)with the months left over to Oxbridge applicants between entrance exams in November and the start of the next academic year.This year,25,310 students who have accepted places in higher education institutions have put off their entry until next year,according to statistics on university entrance provided by the University and College Admissions Service(UCAS).That is a record 14.7% increase in the number of students taking a gap year.Tony Higgins from UCAS said that the statistics are good news for everyone in higher education.“Students who take a well-planned year out are more likely to be satisfied with,and complete their chosen course.Students who take a gap year are often more mature and responsible,”he said.But not everyone is happy.Owain James,the president of the National Union of Students(NUS),argued that the increase is evidence of student hardship -young people are being forced into earning money before finishing their education.“New students are now aware that they are likely to leave university up to £15,000 in debt.It is not surprising that more and more students are taking a gap year to earn money to support their study for the degree.NUS statistics show that over 40% of students are forced to work during term time and the figure increases to 90% during vacation periods,”he said.1.What do we learn about the gap year from the text?A.It is flexible in length. B.It is a time for relaxation.C.It is increasingly popular. D.It is required by universities. 2.According to Tony Higgins,students taking a gap year________ .A.are better prepared for college studies.B.know a lot more about their future jobsC.are more likely to leave university in debtD.have a better chance to enter top universities3.How does Owain James feel about the gap-year phenomenon?A.He's puzzled.B.He's worried. C.He's surprised. D.He's annoyed. 4.What would most students do on their vacation according to NUS statistics?A.Attend additional courses. B.Make plans for the new term.C.Earn money for their education. D.Prepare for their graduate studies.B(2017·福建福州质检)Some people are so rude!Who sends an e­mail or a text message that just says “Thank you”?Who leaves a voicemail message rather than texts you? Who asks for a fact easily found on Google? Don't these people realize that they're wasting your time?Maybe I'm the rude one for not appreciating life's little politeness. But many socially agreed standards just don't make sense to people drowning in digital communication.In texts, you don't have to declare who you are or even say hello. E-mail is slower than a text. V oicemail is a now impolite way of trying to connect.My father learned this lesson after leaving me a dozen voicemail messages, none of which I listened to. Exasperated,_he called my sister to express his dissatisfaction that I never returned his phone calls.“Why are you leaving him voicemail?”my sister asked.“Just text him.”In the age of the smartphone, there is no reason to ask once-acceptable questions about the weather forecast, a business's phone number, or directions to a house, a restaurant, which can be easily found on Google Maps. But people still ask these things. And when you answer, they respond with a thank-you e-mail.How to handle these differing standards? Consider your audience. Some people, especially older ones, appreciate a thankyou message. Others, like me, want no reply.The anthropologist(人类学家)Margaret Mead once said that in traditional societies, the young learn from the old. But in modern societies, the old can also learn from the young. Here's hoping that politeness never goes out of fashion but that time-wasting forms of communication do.5.What does the underlined word “Exasperated” mean in the fifth paragraph?A.Worried. B.Annoyed. C.Surprised. D.Tired.6.Why didn't the writer reply to his father?A.He didn't want to talk with his father.B.He liked text messages better.C.He didn't receive any voicemail messages.D.He enjoyed checking his voicemail.7.Which of the following does the writer agree to?A.Dealing with voicemail should vary with each individual.B.Declaring who they are or saying hello in texts is necessary.C.People needn't learn from one another in traditional societies.D.People needn't turn to Google Maps for help when in trouble.8.What's the best title for this passage?A.Nowadays:what means should we use in communicationB.Nowadays:do you like leaving others a voicemail messageC.Nowadays:what should we do with text messagesD.Nowadays: do you need a thank-you messageC(2017·天星教育第一次大联考)Last weekend I visited Rome for the first time. I spent three busy days in the capital of Italy, seeing lots of tourist attractions and walking down streets lit with Christmas decorations. There are a lot of things I love about the city.Rome is one of the most ancient cities in the world and is full of wonderful relics from its distant past. These monuments include the Roman Forum and the vast Coliseum where gladiators used to fight each other until death and hunt animals coming from another country. The ruins of buildings and temples are fascinating.You can't quite believe how old they are.I studied the masterpieces of the Renaissance period at university and was very excited to see them in real life. I walked around the museum in Vatican City and saw plenty of famous sculptures. The best part of the visit was, without doubt, the Sistine Chapel ceiling, painted in the early 16th century by the great Michelangelo. It was so breathtaking that I couldn't tear my eyes away from it.In Rome, there is a lot of food on offer for tourists but some of it isn't of very good quality. I made an effort to find reliable restaurants to taste the popular meals ofthe region, like pasta with tomato,onion and bacon. I also loved eating ice cream and hot chocolate under the Christmas lights.Rome has not only lots of luxury boutiques (精品店) but also plenty of shops that were more in my price range! It was a perfect opportunity to go and buy presents for my family and friends. There was also a Christmas market, where I bought a sparkly decoration for the tree.9.The underlined word “gladiators” in the 2nd paragraph probably means“________”.A.athletes B.butchers C.invaders D. fighters 10. The author found the ruins of buildings and temples fascinating because _______.A.they represent Rome's religionB.they are relics from Rome's distant pastC.you can't help wondering how old they areD.they include the Roman Forum and the vast Coliseum11.What is mainly discussed in the 3rd paragraph?A.The great museums of Italy.B.The sculptures in Rome.C.Art-related activities during the visit.D.The achievements of the Renaissance period in Italy.12.When visiting Rome, you should be careful in choosing ________.A.the attractions B.the food C.the hotels D.the luxury boutiquesD(2017·福建南平质检)Once an old man rose early to read each morning. His grandson wanted to be just like his grandfather, so tried to emulate him every way he could.One day the grandson asked,“Grandpa, I try to read just like you do, but I don't understand most of it, and I forget whatever I do understand immediately I close the book. So what good is it for me to read?”The grandfather, who was putting coal on the fire, said,“Take this coal basket down to the river and bring me back a basket of water.”The boy did as told to, but the water leaked out before he could get the baskethome.The grandfather laughed, saying,“You'll have to move a little faster.”This time he ran faster, but again the basket emptied. Out of breath, he decided it was impossible to carry water in a basket, and he went to get a bucket. But the grandfather said,“I want a basket of water instead of a bucket of water. You're just not trying hard enough.”The boy knew what he was trying to accomplish was impossible.However, he decided to show his grandfather a third time.The boy dipped the basket into the river and ran as hard as he could. With the empty basket, he gasped(喘气说),“See Grandpa?It's useless !”“So you think it useless?”the old man asked.“Then look at the basket.”To his surprise, the boy found it washed clean of the dirty coal stains and now clean inside and out.“My child, that's what happens when you read the book. You might not understand or remember everything, but the words will change you inside and out. That is the work of reading in our lives.”13.Why did the man tell the boy to fetch a basket of water?A.The work was too much for himself.B.The work could test how fast the boy ran.C.He intended to train the boy to run faster.D.He meant to inspire the boy through an example.14.What does the underlined word “emulate” in Paragraph 1 most probably mean?A.Admire. B.Encourage. C.Challenge. D.Copy. 15.Which of the following words can be used to describe the grandfather?A.Wise and diligent. B.Healthy and smart.C.Thoughtful and loving. D.Serious and knowledgeable. 16.What would be the best title for this passage?A.The Power of Reading B.A Basket of WaterC.Old Man and His Grandson D.On Reading BooksⅡ.七选五(2017·江西临川一中期中考试)Never Over-studyWhen you spend too much time studying you will quickly lose focus and the t ime spent in studying will become “junk time”.You think you're studying but you're just sitting there re-reading the same sentence about 100 times and you're not getting anywhere.__1__Taking breaks will make you energetic again and refresh your mind. Besides, it will give your mind some time to take in what you have been doing.Plan your plan2___They actually plan what they are going to do. They actually plan the time they will study and they set goals for what will be achieved. If you want to be successful, do as successful people do. Set a plan or a goal and stick to it, which will create a routine and a routine is the first step towards developing a habit.__3__ Front up to the toughest work firstMany of us like to do the easy things first to build our confidence. That's fair enough. The only challenge with this approach is that you use up your primary energy at the start of any study period and so if you are dealing with the easy parts with your primary energy your batteries will be low when it comes time to deal with the hard part. So what happens then?__4__We all do it. We really shouldn't, though. So develop the habit of giving your primary energy to the hard tasks and completing the easy stuff last.5____Do we really have to explain this? Just turn them off for an hour. We promise the world will still be there when you log back in! Don't text your friends, don't chat while doing memory activities, don't make phone calls, just focus on what you're doing. Even if you focus on work for 15 minutes followed by 5 minutes of chatting, it's better than 30 minutes of work while also chatting! You get that right?A.Top students don't just randomly sit down and complete work.B.Positive habits decide future success.C.Taking breaks can make you get everywhere.D.You get tired and impatient and just give up.E.They make plans ahead.F.Instead, take regular breaks.G.Get off social networking sites and turn off the phone.。

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