4-A#楼填充墙砌体施工方案
人教版初三英语Unit 4 Section A课文回顾及练习题(含详细解说)
Unit 4 Section A课文精彩回顾1. (P25, 1a) Mario, you used to be short, didn’t you? 马里奥,你过去很矮,对吗?2. (P26, 2d) It’s been three years since we last saw our primary school classmates.自从上次小学同学见面以来已经有三年的时间了。
3. (P27, 3a) Candy told me that she used to be really shy and took up singing to deal with her shyness. 坎迪告诉我她过去非常害羞,于是开始唱歌来对付她的羞怯。
4. (P27, 3a) As she got better, she dared to sing in front of her class, and then for the whole school. 当她变得更好一点时,她敢与在全班同学面前唱歌,然后为全校唱歌。
5. (P27, 3a) Only a very small number of people make it to the top.只有很少一部分人做到最好。
典型题例1. Zhang Lin used to _______ in the daytime, but now he is used to _______at night.A. read, readB. reading, readC. read, readingD. reading, reading2.— Only a small number of students________ able to pass the exam.— Yes. The number ________ no more than 20.A. is; isB. are; isC. is; areD. are; are重点短语回顾1. used to do sth. 故去常常做某事2. be afraid of sth. 害怕某事/物3. from time to time 时常;有时4. on the soccer team 在足球队5. take up 开始做6. deal with 处理;应对7. not …anymore 不再8. tons of attention 很多关注9. worry about 为……担心10. hang out 闲逛11. a small number of 少数12. give up 放弃13. give a speech 做演讲14. in public 当众15. all the time 一直,总是16. be interested in 对……感兴趣自我测试及解答【1】She was very shy, so she used to be ________(不说话)in class.【2】I’m afraid of giving a s in public.【3】After that, he became more __________ (interest) in history.【4】He didn’t dare __________ (speak) in front of the people.【5】At last, he made an important __________(决定).【6】He won’t dare _______ his promise.A. breakB. to breakC. breakingD. breaks【7】—Mike, you’ve got so many beautiful stamp s.—Yeah. I _____collect stamps when I was 8 years old.A. was used toB. used toC. am used toD. used【8】Mario is afraid of _______alone.A. be B being C. is D. to【9】______ study in No.4 Middle School?A. Did you used toB. Do you use toC. Do you used toD. Did you use to【10】There ________ a swimming pool here.A. used to haveB. was used to beC. used to beD. is used to having中考真题再现1.--Many students don’t know how to ________ stress and become worried.--I think they’d better ask their teacher for help.A. argue withB. deal withC. quarrel withD. come up with2.In our school library there _______ a number of books on science, and in theseyears the number of them _______ growing larger and larger.A. are; isB. is; areC. have; areD. have; is3. --My aunt goes to climb mountains every Sunday.--Oh? But she ________ hate climbing mountains.A. used toB. was used toC. is used toUnit 4 Section A课文精彩回顾1. (P25, 1a) Mario, you used to be short, didn’t you? 马里奥,你过去很矮,对吗?【点拨】used to意为“过去常常”,这是个固定结构,to后跟动词原形,而且没有人称和数的变化,它只有一种时态,只表示过去,而现在已经不再做了,因此常用助动词did进行否定或提问。
Unit 4 Section A (Grammar Focus-4c)
4c
Which of these things did you use to be afraid of? Which ones are you still afraid of? Check the boxes and then ask your partner.
Me
My partner
I used to I’m still be afraid afraid of... of...
4.Sandy/teach British English/teach American English _S_a_n_d_y__u_se_d__t_o_t_e_a_c_h_B__ri_t_is_h__E_n_g_l_is_h_._S_h_e__d_id_n__’t_u_s_e__to____ _t_e_a_c_h_A__m_e_r_i_c_a_n_E_n__g_li_sh__. ___________________________
A. Does B. Was
C. Did
D. Has
来自《点拨》
5. His grandparents are used _____B____ in the morning.
A.to exercise
B.to exercising
C. exercise
Grammar Focus
I used to be short.
I didn't use to be popular in school.
Paula used to be really quiet.
She didn't use to like tests.
You used to be short, didn't you? Yes, I did./ No, I didn't.
人教版英语九年级上册 Unit 4 Section A (GF-4c)
Grammar Focus
Read the sentences.
I used to be short. Paula used to be really quiet.
I didn’t use to be popular in school.
She didn’t use to like tests.
You used to be short, didn’t you? Yes, I did. / No, I didn’t.
一般疑问句 Did + 主语 + used to be / do + 其他? eg. Did this building use to be a hotel?
这栋建筑物以前是一个酒店吗? Did you use to go to the library regulaly? 你以前经常去图书馆吗?
反义疑问句 主句 + didn’t + 人称代词? eg. Your brother used to have noodles as breakfast, didn’t he?
➢ Key sentences: 1. Grace used to watch a lot of TV. She didn’t use to watch a lot of movies. 2. Emily didn’t use to eat a lot of vegetables, but now she loves carrots and tomatoes.
新视野大学英语(第三版)读写教程BookIII-Unit4-Section A-The Surprising purpose of travel
Cultural Background
Some Proper Names
Questions Previewing 1. Where is Left Bank café? What features does it have?
Tips
2. What is Let’s Go? Give more information about it.
Summary
Section
A
T h e s u r p r i s i n g p u r p o s e o f t rave l
Warming-up Activities
Lead-in
Pre-reading Activities
Cultural Background
Lead-in
Group discussion
To master the cause-effect essay writing skill
Section
A
T h e s u r p r i s i n g p u r p o s e o f t rave l
Contents
Warming-up Activities Text Study Language Application
Listen to a short passage concerning aircraft accidents and fill in the missing information.
with a passenger each from Britain, France, Malaysia and Singapore. AirAsia is a ________ budget airline with links to AirAsia Malaysia. transportation Malaysian air ________________has had a difficult 2014. In March, the national ________, carrier Malaysia Airlines, had a plane disappear over the Indian Ocean. That plane was carrying 239 passengers and crew from Kuala Lumpur to Beijing, China. _____________ Investigators have found no sign of the plane or the people it carried. The plane's disappearance _________ shocked the world.
新教材高考数学第二章直线和圆的方程5-2圆与圆的位置关系练习含解析新人教A版选择性必修第一册
圆与圆的位置关系学习目标 1.了解圆与圆的位置关系.2.掌握圆与圆的位置关系的判断方法.3.能用圆与圆的位置关系解决一些简单问题.知识点 两圆的位置关系及其判定(1)几何法:若两圆的半径分别为r 1,r 2,两圆连心线的长为d ,则两圆的位置关系如下:位置关系 外离外切相交内切内含图示d 与r 1,r 2的关系d >r 1+r 2d =r 1+r 2|r 1-r 2|< d <r 1+r 2d =|r 1-r 2|d <|r 1-r 2|(2)代数法:设两圆的一般方程为C 1:x 2+y 2+D 1x +E 1y +F 1=0(D 21+E 21-4F 1>0), C 2:x 2+y 2+D 2x +E 2y +F 2=0(D 22+E 22-4F 2>0),联立方程得⎩⎪⎨⎪⎧x 2+y 2+D 1x +E 1y +F 1=0,x 2+y 2+D 2x +E 2y +F 2=0,则方程组解的个数与两圆的位置关系如下:方程组解的个数 2组 1组 0组 两圆的公共点个数 2个 1个 0个 两圆的位置关系相交外切或内切外离或内含思考 根据代数法确定两个圆的位置关系时,若已知两圆只有一个交点,能否准确得出两圆的位置关系?答案 不能. 已知两圆只有一个交点只能得出两圆内切或外切.1.如果两个圆的方程组成的方程组只有一组实数解,则两圆外切.( × ) 2.如果两圆的圆心距小于两圆的半径之和,则两圆相交.( × )3.从两圆的方程中消掉二次项后得到的二元一次方程是两圆的公共弦所在的直线方程.( × )4.若两圆有公共点,则|r 1-r 2|≤d ≤r 1+r 2.( √ )一、两圆位置关系的判断例1 当实数k为何值时,两圆C1:x2+y2+4x-6y+12=0,C2:x2+y2-2x-14x+k=0相交、相切、相离?解将两圆的一般方程化为标准方程,C1:(x+2)2+(y-3)2=1,C2:(x-1)2+(y-7)2=50-k,圆C1的圆心为C1(-2,3),半径r1=1;圆C2的圆心为C2(1,7),半径r2=50-k(k<50).从而|C1C2|=-2-12+3-72=5.当1+50-k=5,k=34时,两圆外切.当|50-k-1|=5,50-k=6,k=14时,两圆内切.当|r2-r1|<|C1C2|<r2+r1,即14<k<34时,两圆相交.当1+50-k<5或|50-k-1|>5,即34<k<50或k<14时,两圆相离.反思感悟判断两圆的位置关系的两种方法(1)几何法:将两圆的圆心距d与两圆的半径之差的绝对值,半径之和进行比较,进而判断出两圆的位置关系,这是在解析几何中主要使用的方法.(2)代数法:将两圆的方程组成方程组,通过解方程组,根据方程组解的个数进而判断两圆位置关系.跟踪训练1 (1)圆(x+2)2+y2=4与圆(x-2)2+(y-1)2=9的位置关系为( )A.内切B.相交C.外切D.相离答案 B解析两圆的圆心分别为(-2,0),(2,1),半径分别为r=2,R=3,两圆的圆心距为-2-22+0-12=17,则R-r<17<R+r,所以两圆相交,选B.(2)到点A(-1,2),B(3,-1)的距离分别为3和1的直线有________条.答案 4解析到点A(-1,2)的距离为3的直线是以A为圆心,3为半径的圆的切线;同理,到B的距离为1的直线是以B为圆心,半径为1的圆的切线,所以满足题设条件的直线是这两圆的公切线,而这两圆的圆心距|AB|=3+12+-1-22=5.半径之和为3+1=4,因为5>4,所以圆A 和圆B 外离,因此它们的公切线有4条. 二、两圆的公共弦问题例2 已知两圆x 2+y 2-2x +10y -24=0和x 2+y 2+2x +2y -8=0. (1)判断两圆的位置关系; (2)求公共弦所在的直线方程; (3)求公共弦的长度.解 (1)将两圆方程配方化为标准方程,则C 1:(x -1)2+(y +5)2=50, C 2:(x +1)2+(y +1)2=10,∴圆C 1的圆心坐标为(1,-5),半径为r 1=52, 圆C 2的圆心坐标为(-1,-1),半径为r 2=10. ∴|C 1C 2|=25,r 1+r 2=52+10, |r 1-r 2|=|52-10|, ∴|r 1-r 2|<|C 1C 2|<r 1+r 2, ∴两圆相交. (2)将两圆方程相减,得公共弦所在的直线方程为x -2y +4=0.(3)方法一 由(2)知圆C 1的圆心(1,-5)到直线x -2y +4=0的距离为d =|1-2×-5+4|1+-22=35, ∴公共弦长为l =2r 21-d 2=250-45=2 5.方法二 设两圆相交于点A ,B ,则A ,B 两点满足方程组⎩⎪⎨⎪⎧ x -2y +4=0,x 2+y 2+2x +2y -8=0,解得⎩⎪⎨⎪⎧x =-4,y =0或⎩⎪⎨⎪⎧x =0,y =2,∴|AB |=-4-02+0-22=2 5.即公共弦长为2 5.反思感悟 两圆的公共弦问题(1)若圆C 1:x 2+y 2+D 1x +E 1y +F 1=0与圆C 2:x 2+y 2+D 2x +E 2y +F 2=0相交,则两圆公共弦所在的直线方程为(D 1-D 2)x +(E 1-E 2)y +F 1-F 2=0. (2)公共弦长的求法①代数法:将两圆的方程联立,解出交点坐标,利用两点间的距离公式求出弦长. ②几何法:求出公共弦所在直线的方程,利用圆的半径、半弦长、弦心距构成的直角三角形,根据勾股定理求解.跟踪训练2 (1)两圆x 2+y 2-10x -10y =0,x 2+y 2+6x +2y -40=0的公共弦的长为( ) A .5 B .5 2 C .10 2 D .10 答案 D(2)圆C 1:x 2+y 2=1与圆C 2:x 2+y 2-2x -2y +1=0的公共弦所在的直线被圆C 3:(x -1)2+(y -1)2=254所截得的弦长为________.答案23解析 由题意将两圆的方程相减,可得圆C 1和圆C 2公共弦所在的直线l 的方程为x +y -1=0.又圆C 3的圆心坐标为(1,1),其到直线l 的距离为d =|1+1-1|12+12=22, 设圆C 3的半径为r ,由条件知,r 2-d 2=254-12=234,所以弦长为2×232=23.圆系方程的应用典例 (1)求圆心在直线x -y -4=0上,且过两圆x 2+y 2-4x -6=0和x 2+y 2-4y -6=0的交点的圆的方程.解 方法一 设经过两圆交点的圆系方程为x 2+y 2-4x -6+λ(x 2+y 2-4y -6)=0(λ≠-1),即x 2+y 2-41+λx -4λ1+λy -6=0, 所以圆心坐标为⎝⎛⎭⎪⎫21+λ,2λ1+λ.又圆心在直线x -y -4=0上,所以21+λ-2λ1+λ-4=0,即λ=-13.所以所求圆的方程为x 2+y 2-6x +2y -6=0.方法二 由⎩⎪⎨⎪⎧x 2+y 2-4x -6=0,x 2+y 2-4y -6=0,得两圆公共弦所在直线的方程为y =x .由⎩⎪⎨⎪⎧y =x ,x 2+y 2-4y -6=0,解得⎩⎪⎨⎪⎧x 1=-1,y 1=-1,⎩⎪⎨⎪⎧x 2=3,y 2=3.所以两圆x 2+y 2-4x -6=0和x 2+y 2-4y -6=0的交点坐标分别为A (-1,-1),B (3,3), 线段AB 的垂直平分线所在的直线方程为y -1=-(x -1). 由⎩⎪⎨⎪⎧y -1=-x -1,x -y -4=0,得⎩⎪⎨⎪⎧x =3,y =-1,即所求圆的圆心坐标为(3,-1), 半径为3-32+[3--1]2=4.所以所求圆的方程为(x -3)2+(y +1)2=16.(2)求过直线x +y +4=0与圆x 2+y 2+4x -2y -4=0的交点且与直线y =x 相切的圆的方程. 解 设所求圆的方程为x 2+y 2+4x -2y -4+λ(x +y +4)=0.联立⎩⎪⎨⎪⎧y =x ,x 2+y 2+4x -2y -4+λx +y +4=0,得x 2+(1+λ)x +2(λ-1)=0.因为所求圆与直线y =x 相切,所以Δ=0,即(1+λ)2-8(λ-1)=0,解得λ=3, 故所求圆的方程为x 2+y 2+7x +y +8=0.[素养提升] (1)当经过两圆的交点时,圆的方程可设为(x 2+y 2+D 1x +E 1y +F 1)+λ(x 2+y 2+D 2x +E 2y +F 2)=0,然后用待定系数法求出λ即可.(2)理解运算对象,选择运算方法,设计运算程序,求得运算结果,体现了数学运算的数学核心素养.1.圆O 1:x 2+y 2-2x =0和圆O 2:x 2+y 2-4y =0的位置关系是( ) A .相离 B .相交 C .外切 D .内切答案 B解析 化为标准方程:圆O 1:(x -1)2+y 2=1,圆O 2:x 2+(y -2)2=4,则O 1(1,0),O 2(0,2),|O 1O 2|=1-02+0-22=5<r 1+r 2,又r 2-r 1<5,所以两圆相交.2.圆C 1:(x +2)2+(y -m )2=9与圆C 2:(x -m )2+(y +1)2=4外切,则m 的值为( ) A .2B .-5C .2或-5D .不确定答案 C解析 圆C 1:(x +2)2+(y -m )2=9的圆心为(-2,m ),半径长为3, 圆C 2:(x -m )2+(y +1)2=4的圆心为(m ,-1),半径长为2. 依题意有-2-m2+m +12=3+2,即m 2+3m -10=0, 解得m =2或m =-5.3.圆x 2+y 2-4x +6y =0和圆x 2+y 2-6x =0交于A ,B 两点,则AB 的垂直平分线的方程是( )A .x +y +3=0B .2x -y -5=0C .3x -y -9=0D .4x -3y +7=0答案 C解析 AB 的垂直平分线过两圆的圆心,把圆心(2,-3)代入,即可排除A ,B ,D.4.已知以C (4,-3)为圆心的圆与圆O :x 2+y 2=1相切,则圆C 的方程是__________________. 答案 (x -4)2+(y +3)2=16或(x -4)2+(y +3)2=36 解析 设圆C 的半径为r , 圆心距为d =4-02+-3-02=5,当圆C 与圆O 外切时,r +1=5,r =4, 当圆C 与圆O 内切时,r -1=5,r =6, ∴圆的方程为(x -4)2+(y +3)2=16 或(x -4)2+(y +3)2=36.5.若圆x 2+y 2=4与圆x 2+y 2+2ay -6=0(a >0)的公共弦长为23,则a =________. 答案 1解析 将两圆的方程相减,得相交弦所在的直线方程为y =1a,圆心(0,0)到直线的距离为d =1a=22-32=1,所以a =1.1.知识清单: (1)两圆的位置关系. (2)两圆的公共弦.2.方法归纳:几何法、代数法. 3.常见误区:将两圆内切和外切相混.1.圆C 1:x 2+y 2+4x +8y -5=0与圆C 2:x 2+y 2+4x +4y -1=0的位置关系为( ) A .相交 B .外切 C .内切 D .外离答案 C解析 由已知,得C 1(-2,-4),r 1=5,C 2(-2,-2),r 2=3,则d =|C 1C 2|=2, 所以d =|r 1-r 2|,所以两圆内切.2.圆x 2+y 2=1与圆x 2+y 2+2x +2y +1=0的交点坐标为( ) A .(1,0)和(0,1) B .(1,0)和(0,-1) C .(-1,0)和(0,-1) D .(-1,0)和(0,1)答案 C解析 由⎩⎪⎨⎪⎧x 2+y 2=1,x 2+y 2+2x +2y +1=0,解得⎩⎪⎨⎪⎧x =-1,y =0或⎩⎪⎨⎪⎧x =0,y =-1.所以两圆的交点坐标为(-1,0)和(0,-1).3.已知圆C 1:x 2+y 2-m =0,圆C 2:x 2+y 2+6x -8y -11=0,若圆C 1与圆C 2有公共点,则实数m 的取值范围是( ) A .m <1 B .m >121 C .1≤m ≤121 D .1<m <121答案 C解析 圆C 1的方程可化为x 2+y 2=m (m >0),则圆心为C 1(0,0),半径r 1=m ; 圆C 2的方程可化为(x +3)2+(y -4)2=36,则圆心为C 2(-3,4),半径r 2=6. ∵圆C 1与圆C 2有公共点,∴|r 1-r 2|≤|C 1C 2|≤r 1+r 2, 即|m -6|≤-3-02+4-02≤m +6,∴⎩⎨⎧|m -6|≤5,m +6≥5,解得1≤m ≤121.4.(多选)设r >0,圆(x -1)2+(y +3)2=r 2与圆x 2+y 2=16的位置关系不可能是( ) A .内切 B .相交 C .外离 D .外切答案 CD解析 两圆的圆心距为d =1-02+-3-02=10,两圆的半径之和为r +4, 因为10<r +4,所以两圆不可能外切或外离,故选CD.5.圆O 1:x 2+y 2-6x +16y -48=0与圆O 2:x 2+y 2+4x -8y -44=0的公切线条数为( ) A .4条 B .3条 C .2条 D .1条答案 C解析 圆O 1为(x -3)2+(y +8)2=121,O 1(3,-8),r =11,圆O 2为(x +2)2+(y -4)2=64,O 2(-2,4),R =8, ∴|O 1O 2|=3+22+-8-42=13,∴r -R <|O 1O 2|<R +r , ∴两圆相交.∴公切线有2条.6.若圆x 2+y 2-2ax +a 2=2和x 2+y 2-2by +b 2=1外离,则a ,b 满足的条件是_____________. 答案 a 2+b 2>3+2 2解析 由题意可得两圆的圆心坐标和半径长分别为(a ,0),2和(0,b ),1. 因为两圆外离,所以a 2+b 2>2+1, 即a 2+b 2>3+2 2.7.已知两圆x 2+y 2=10和(x -1)2+(y -3)2=20相交于A ,B 两点,则直线AB 的方程是_______. 答案 x +3y =0解析 圆的方程(x -1)2+(y -3)2=20可化为x 2+y 2-2x -6y =10. 又x 2+y 2=10,两式相减得2x +6y =0,即x +3y =0.8.经过直线x +y +1=0与圆x 2+y 2=2的交点,且过点(1,2)的圆的方程为________________.答案 x 2+y 2-34x -34y -114=0解析 由已知可设所求圆的方程为x 2+y 2-2+λ(x +y +1)=0,将(1,2)代入,可得λ=-34, 故所求圆的方程为x 2+y 2-34x -34y -114=0.9.已知圆O 1:x 2+(y +1)2=4,圆O 2的圆心O 2(2,1).若圆O 2与圆O 1交于A ,B 两点,且|AB |=22,求圆O 2的方程.解 设圆O 2的方程为(x -2)2+(y -1)2=r 22, 因为圆O 1的方程为x 2+(y +1)2=4,将两圆的方程相减,即得两圆公共弦AB 所在的直线方程为4x +4y +r 22-8=0, 作O 1H ⊥AB ,H 为垂足,则AH =12AB =2,所以O 1H =r 21-AH 2=4-2= 2.由圆心O 1(0,-1)到直线4x +4y +r 22-8=0的距离为 |r 22-12|42=2,得r 22=4或r 22=20, 故圆O 2的方程为(x -2)2+(y -1)2=4或(x -2)2+(y -1)2=20.10.已知两圆x 2+y 2-2x -6y -1=0和x 2+y 2-10x -12y +m =0. (1)m 取何值时两圆外切? (2)m 取何值时两圆内切?(3)求m =45时两圆的公共弦所在直线的方程和公共弦的长. 解 两圆的标准方程分别为(x -1)2+(y -3)2=11, (x -5)2+(y -6)2=61-m , 圆心分别为M (1,3),N (5,6), 半径分别为11和61-m . (1)当两圆外切时,5-12+6-32=11+61-m ,解得m =25+1011.(2)当两圆内切时61-m -11=5, 解得m =25-1011.(3)两圆的公共弦所在直线方程为(x 2+y 2-2x -6y -1)-(x 2+y 2-10x -12y +45)=0, 即4x +3y -23=0, ∴公共弦长为2112-⎝⎛⎭⎪⎫|4×1+3×3-23|42+322=27.11.已知半径为1的动圆与圆(x -5)2+(y +7)2=16相切,则动圆圆心的轨迹方程是( ) A .(x -5)2+(y -7)2=25B .(x -5)2+(y -7)2=17或(x -5)2+(y +7)2=15C.(x-5)2+(y-7)2=9D.(x-5)2+(y+7)2=25或(x-5)2+(y+7)2=9答案 D解析设动圆圆心为(x,y),若动圆与已知圆外切,则x-52+y+72=4+1,∴(x-5)2+(y+7)2=25;若动圆与已知圆内切,则x-52+y+72=4-1,∴(x-5)2+(y+7)2=9.12.设两圆C1,C2都和两坐标轴相切,且都过点(4,1),则两圆心的距离|C1C2|等于( ) A.4 B.4 2 C.8 D.8 2答案 C解析∵两圆与两坐标轴都相切,且都经过点(4,1),∴两圆圆心均在第一象限且每个圆心的横、纵坐标相等.设两圆的圆心坐标分别为(a,a),(b,b),则有(4-a)2+(1-a)2=a2,(4-b)2+(1-b)2=b2,即a,b为方程(4-x)2+(1-x)2=x2的两个根,整理得x2-10x+17=0,∴a+b=10,ab=17.∴(a-b)2=(a+b)2-4ab=100-4×17=32,∴|C1C2|=a-b2+a-b2=32×2=8.13.如果圆(x-a)2+(y-1)2=1上总存在两个点到原点的距离为2,则实数a的取值范围是( )A.(-22,0)∪(0,22) B.(-22,22)C.(-1,0)∪(0,1) D.(-1,1)答案 A解析∵圆(x-a)2+(y-1)2=1上总存在两个点到原点的距离为2,∴圆O:x2+y2=4与圆C:(x-a)2+(y-1)2=1相交.|OC|=a2+1,由2-1<|OC|<2+1,得1<a2+1<3,∴0<|a|<22,∴-22<a<0或0<a<2 2.14.若圆O:x2+y2=5与圆O1:(x-m)2+y2=20(m∈R)相交于A,B两点,且两圆在点A处的切线互相垂直,则线段AB的长为________.答案 4解析 连接OO 1,记AB 与OO 1的交点为C ,如图所示,在Rt△OO 1A 中,|OA |=5,|O 1A |=25,∴|OO 1|=5,∴|AC |=5×255=2, ∴|AB |=4.15.过两圆x 2+y 2-2y -4=0与x 2+y 2-4x +2y =0的交点,且圆心在直线l :2x +4y -1=0上的圆的方程是____________________.答案 x 2+y 2-3x +y -1=0解析 设圆的方程为x 2+y 2-4x +2y +λ(x 2+y 2-2y -4)=0,则(1+λ)x 2-4x +(1+λ)y 2+(2-2λ)y -4λ=0,把圆心⎝ ⎛⎭⎪⎫21+λ,λ-11+λ代入l :2x +4y -1=0的方程,可得λ=13, 所以所求圆的方程为x 2+y 2-3x +y -1=0.16.已知动点P 与两个定点O (0,0),A (3,0)的距离的比为12. (1)求动点P 的轨迹C 的方程;(2)已知圆Q 的圆心为Q (t ,t )(t >0),且圆Q 与x 轴相切,若圆Q 与曲线C 有公共点,求实数t 的取值范围.解 (1)设P (x ,y ),则||AP =2||OP ,即||AP |2=4OP |2, 所以(x -3)2+y 2=4(x 2+y 2),整理得(x +1)2+y 2=4.所以动点P 的轨迹C 的方程为(x +1)2+y 2=4.(2)因为点Q 的坐标为(t ,t )(t >0),且圆Q 与x 轴相切,所以圆Q 的半径为t , 所以,圆Q 的方程为(x -t )2+(y -t )2=t 2.因为圆Q 与圆C 有公共点,又圆Q 与圆C 的两圆心距为 ||CQ =()t +12+()t -02=2t 2+2t +1, 所以||2-t ≤||CQ ≤2+t ,即(2-t )2≤2t 2+2t +1≤(2+t )2,解得-3+23≤t≤3.所以,实数t的取值范围是[]-3+23,3.。
Unit 4-课时1-Part A(教案)人教版PEP(2024)英语三年级上册
SS:M M M/m//m//m/map mum/m//m//m/,NN N/n/ /n//n/new fan/n/ /n//n/,OO O/o//o//o/orange fox/o//o//o/,PP P/p//p//p/pen cup/p//p//p/.
3.效果
展示
以个人或小组形式进行内容展示,验收班级本次课教学内容的掌握情况。
—Not really.
Let’s learn
1.引入
TT:Do you know more fruits?
2.词汇、句型呈现
展示grape和orange实物教授单词表达。
听第一遍音频
TT: Listen
听第二遍音频并跟读
TT: Follow andspeak.
SS:There are 6 people.
1.重点词汇的听说读写。
2.句型的理解和使用。
3.字母形态认读与识记,字母发音的辨别与表达。
教学准备
2.课本音频
3.单词和字母卡片
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一、教学过程
教学
环节
教学版块
教学步骤
教师用语
学生反馈与用语
1.热身
1.Greetings
+主图讲解
1.问候热身:
TT:Hello,boys and girls,Are you readyto start our class?(The Farmer Plants the Seeds动画,引入garden,plant等概念,师生跟着旋律唱跳)
3.重点讲解
讲解问答句型,重点强调一下问句对应的三种回答TT:—..., do you like...?—Yes, I do.And you?/Not really./No,I don’t.
日本货币a-篠山
篠山市生活指南日本货币4-a●円(en)の種類 (日元的种类)1(ichi)日元 5(go)日元10(juu)日元 50(gojuu)日元 100(hyaku)日元 500(gohyaku)日元正 面反面1,000(sen)日元5,000(gosen)日元10,000(ichiman)日元正 面反 面其他还有2,000(nisen)日元的纸币。
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一共是3.129元 Zeikomide 3,129enni narimasu店員:ありがとうございました 售货员:谢谢! Arigatoogozaimashita×××购物中心 鞋 店電話:079-△△△-▽▽▽▽200☆年○○月××日(土)15:20合計 ¥3,129(内消費税 5% ¥150)支付 ¥3,129 找钱 ¥0以上是您购物的详细账目!〒 邮电4-c ●国内邮件□通常邮便物・定形邮便物(封书 fusho):25g以内 80日元。
Unit4-Section A 新视野英语教程第三册 Unit4 Text A
Main idea: The narrator, together with his colleagues and policemen, worked hard and successfully avoided the disaster.
Main idea: Reviewing the whole matter, the narrator realized that this is the very defining moment for him as a firefighter.
Dispatch phoned from the California Central Fire Department.
“Dennis, I didn’t think this was much, so I didn’t sound the
alarm. I thought I’d let you decide whether or not you’d want
on one’s hands seal off
to oneself
Main Idea & Structure
First reading: Scan the passage and try to catch
the main idea. The following words are for your
A Defining Moment
CONTENTS
Preparation Exploring the topic Reading Through Exercises Merry Learning
Preparation
Activity I
Spot Dictation
Activity II
新视野大学英语第三册Unit 4 section A
Unit4
BOOK3
work on (L1)
have sth. as the subject of thought or effort
Use it
汤姆还在写那本他许诺过要写的新书吗?
Tips
I am working on …
(my term paper; the College English Test Band 4; a new project…)
命名 以…名义 名叫…的 用…名字的 没有正式名分的 有名无实的 问题的本质 亵渎…/滥用… 获得..把..收归名下
Grant Wood instantly rose to fame in 1930 with his painting American Gothic, an often-copied interpretation of the solemn pride of American farmers. (Para. 9)
芭比娃娃的三维模特是一个德国洋娃娃,一个哄成 年人开心的礼物,被描绘成具有“风尘女子”的摸 样。马特尔公司将这个娃娃做了一番改造,变成了 体面而地道的美国版本,尽管胸围有些夸张,并以 芭芭拉命名。
Structure: conj.+ prepositional phrase
• Most snakes, although with a threatening appearance, aren’t really dangerous if you leave them alone.
get people to join the army or navy
recruit
fine new people to work in a company, join an organization, do a job
七年级-人教版-英语-上册-[基础诊断]Unit-4-Section-A-(1a-2d)
Unit 4 Where’s my schoolbag? (Period 1)Section A (1a-2d)Ⅰ.单项选择。
1.My quilt is ________ the bed and my shoes are ________ the bed.A.in; on B.on; under C.under; in D.on; in 2.—________ is the ball? —I think it’s under the table.A.How B.Where C.What D.Who 3.—Where is my jacket? —It’s ________ your ________ room.A.on; parent’s B.in; parent’s C.in; parents’D.on; parents’ 4.—Are the pencils in the schoolbag? —________. They are on the desk.A.Yes, they are B.No, they areC.Yes, it is D.No, they aren’t5.—________, Jack. We must meet Ms. Black at 7:00. —But it is 3:00.A.Come on B.Thank youC.Good morning D.Nice to meet youⅠ.阅读理解。
Dear Kate,I need your help. Could you please take these things to your brother Bob? He needs his dictionary, pen, notebook, keys, and baseball. The dictionary is on the bed. The pen is in the pencil box. I put the pencil box on the sofa. The notebook is on the desk. The keys are on the table. The baseball is under the bed.Thanks!Grandma6.Kate is Bob’s ________.A.friend B.aunt C.grandma D.sister 7.Where’s Bob’s dictionary?A.On the sofa.B.On the desk.C.On the bed.D.On the bookcase.8.The underlined word “put” means “________” in Chinese.A.写B.放C.吃D.带9.The ________ is under the bed.A.pen B.baseball C.notebook D.dictionary 10.Grandma tells (告诉) Kate to take ________ things to Bob.A.five B.six C.three D.four Ⅰ.根据汉语意思完成句子。
人教版九年级英语全一册知识梳理第四单元《Unit 4 Section A》
Unit4I used to be afraid of the dark.Section A一.常用短语二.考点精练▶考点一反义疑问句的用法这是一个反意疑问句。
此类反意疑问句的结构为:肯定的陈述句+ 否定的附加问句→“前肯后否”否定的陈述句+ 肯定的附加问句→“前否后肯”注意:前后两部分的人称数和时态等必须要保持一致!➩She doesn’t like shopping, does she? 她不喜欢购物,是吗?➩Your father went to the park, didn't he? 你爸爸去公园了,是吗?➩You don’t like classical music, do you? 你不喜欢古典音乐,对吗?【拓展】①对反意疑问句的回答,不管问题的提法如何,如果事实是肯定的用yes,事实是否定的用no。
②陈述句部分含有few(几乎没有)、little(几乎没有)、seldom(几乎不)、hardly(几乎不)、never(从不)或nothing(没有任何东西)等否定词,附加问句要用肯定形式。
➩He has never been to London, has he? 他从来没有去过伦敦,是吗?【易错提醒】无论何种形式的反意疑问句,依据事实来回答即可。
如果事实是肯定的,要用yes;如果事实是否定的,要用no。
只是要注意“前否后背”的答语中,yes和no与汉语意思正好相反。
➩He didn't pass the exam, did he? 他没有通过考试。
——Yes, he did. 不,他通过了。
(事实是肯定的)——No, he didn’t. 是的,他没有通过。
(事实是否定的)【小试牛刀】1.-- Steven had nothing for breakfast this morning, ______________ ?--No. Because he had a fever.A.hadn't heB.had heC.didn’t heD.did he2.David never fights with his classmates, _____________ ?A.does heB.doesn’t heC.is heD.Isn’t he答案:1.D2.A▶考点二 What + be + 主语 + like? 的用法2.What’s he like now? 他现在是什么样子?(P25 1c)1)What + be + 主语+ like? 用于提问人的外貌,译为“某人长什么样?”,相当于”What do / does + 主语+ look like?”,用于提问人的外貌(身材或长相)。
Unit4 My home A Let's learn(教案)-2024学年人教PEP版英语四上
This is my _____. It’s ______.I can ______....We are happy at home.Step4 Homework 1.Homework Chen Jie’s homeBlackboard Design:Unit 4 My homeA let’s learn教学反思:本节课通过Amy的家庭情境,成功激发了学生的学习兴趣,并有效引导学生掌握了与房间相关的词汇和句型。
然而,在教学过程中,我也发现了一些值得改进的地方。
虽然大部分学生能够积极参与课堂活动,但仍有部分学生在听力理解环节表现不佳。
未来,我计划增加更多针对性的听力训练,并考虑使用多样化的听力材料,以提升学生的听力水平。
同时,我也意识到在促进学生自主表达方面还有待加强。
接下来,我将设计更多开放式问题和角色扮演活动,鼓励学生主动用英语表达自己的想法。
此外,还应更好地利用小组合作学习的方式,以提高学生的合作意识和交际能力。
总之,这节课虽有成效,但也暴露出一些教学中的不足。
今后,我将继续调整教学策略,力求每位学生都能在英语学习中取得更大进步。
课堂练习Sweet home, sweet familyPEP Book 3 Unit 4 A Let’s learn* Read, choose and write.Hello. I’m . This is my home.Look! My father is in the . He can ____. My mother is in the . She can ____. My sister is in the . She can ____.I am in the . I can ____.I really love my family. Words bankliving roombathroombedroomkitchenstudyA.Read newspaperB.Read a bookC.Have a napD.Have a snackSweet home, sweet familyPEP Book 3 Unit 4 A Let’s learn * Read, choose and write.Hello. I’m . This is my home.Look! My father is in the . He can ____. My mother is in the . She can ____. My sister is in the . She can ____.I am in the . I can ____.I really love my family. Words bankliving roombathroombedroomkitchenstudyA.Read newspaperB.Read a bookC.Have a napD.Have a snack。
Reading A of Unit 4
Reading A of Unit 4
1. New Words, Phrases and Notes 2. Text 3. Task 1 4. Task 2 5. Task 3 6. Business Know-how
1. New Words, Phrases and Notes
New Words of Reading A (1)
现在这些盘扣结通常仅用作装饰。
New Words of Reading A (6)
elegant 【ˈeləɡənt】a. 高雅的,优美的 例句:qipao is not just an elegant dress . 旗袍不仅仅只是一种高雅的衣服。
embody 【imˈbɔdi】v. 体现,代表 etiquette 【ˈetikət】 n.(社会或行业中的)礼节,礼仪
Text of Reading A (1)翻译
一针引一线,旗袍得流传
张晋的一天通常是在脚踏式缝纫机轻轻的咔哒声中开始 的。在他为全国各地的客户定制旗袍的时候,时间飞快流逝。
New Words of Reading A (2)
tailor-made 【ˌteiləˈmeid】a. 定做的,特制的 例句: This is a tailor-made jacket. 这是一件定做的夹克。
garment 【ˈɡɑːmənt】 n. (一件)衣服 例句:He tailors the garments on the basis of each customer’s figure. 他根据每一位顾客的身材数据定做衣服
新视野大学英语读写教程unit4-SectionA教案
More
3
4
Text Study—Understanding
What did the seriouslooking face and a pitchfork imply?
(a pitchfork)
3
4
Text Study—Understanding
Serious-looking face: the solemn pride of American farmers; hard–working and diligent. The pitchfork: haying in the 19th century; masculinity(男子气概); the devil and farming; to echo the repeated lines of the Gothic Window.
3
4
1. The Statue of Liberty
3
4
3
4
3
4
Text Study—Understanding
1. The Statue of Liberty Information in the text:
Time: Mid-1870s ____________________________ Designer: _________________________ French artist Frederic Auguste Bartholdi Model: ___________________________ Model: His wife’s arm and his mother’s face History: ___________________________ History: Celebrating US independence and the France-America alliance More
D4GL-2FFA-A;D4GL-2DFG-A;D4GL-4HFG-A;D4GL-4DFG-A;中文规格书,Datasheet资料
D4GL Door-mounting Accessory with Lockout Key to Prevent Workers from Becoming Trapped inside Hazardous Area•The vertical D4GL Guard Lock Safety-door Switch can be easily mounted on 40 × 40 mm aluminum frames. •The plastic material makes the Slide Key suitable for lightweight doors.ConfigurationD4GL-SK10-LKBe sure to read the “Safety Precautions” on page 5 and the “Precautions for All Safety Door Switches”.D4GL (sold separately)D4GL-SK10-LKFeaturesThe lockout key prevents workers from becoming trapped without using a padlock.Note:Using two-color LEDs enables confirming whether the door is open or closed and locked or unlocked.Example: D4GL-2DFA-A with mechanical lock and solenoid releaseClo s e door.Locked (power notsu pplied to s olenoid)The s lide h a ndle i s clo s ed.Clo s e door.Locked (power not su pplied to s olenoid)The s lide h a ndle i s clo s ed.The s lide h a ndle c a n b e p u lled.Open door.The s lide h a ndle i s open.When the s lide h a ndle i s open, the locko u t key c a n b e p u lled reg a rdle ss of whether power i s b eing su pplied to the s olenoid or not.Open door.The s lide h a ndle i s open.Left doorDoor Opening to the Left.The s lide h a ndle i s s ec u red a t the po s ition s hown in the fig u re.A worker holding the locko u t key will not b e tr a pped locked in s ide the h a z a rdo us a re a b y a nother per s on.Open door.The s lide h a ndle doe s not move.The s lide h a ndle i s open.If the locko u t key i s not mo u nted, the s lide h a ndle will not move a nd the door will not clo s e.Locko u t KeyDo not t u rn the key as in the fig u re ab ove if the s lide h a ndle i s clo s ed.The h a ndle-s h a ped fixt u re m a ke s it e as y to us e the Door S witch.Att a ch the su ppliedc au tion l ab el s for di s pl a y.Ordering InformationNote:1.The Door Switch is not included. Select the Door Switch depending on the necessary number of contacts and the conduit size.The contents are provided as a total set, individual contents cannot be ordered separately.2.Perform risk assessment for the equipment in question, configure relay units and other safety circuits, and use properly.Applicable Door SwitchesAppearanceSpecificationsContentsModelApplicable Door SwitchWeight: Approx. 0.6 kg Mechanical durability: 20,000 operations min.Slide Key: 1 (not yet mounted)D4GL mounting plate: 1Door Switch special mounting screws: 4D4DS-K1 (operation key): 1D4DS-K1 special mounting screws: 2Lockout keys: 2Lockout key strap: 1Caution labels (stickers): 2 sheets (Englishand Japanese)D4GL-SK10-LK D4GL•The two-color (orange/green) LED indicators enablechecking whether the door is locked and the key is inserted.•With gold-plated contacts used as standard, general loads and microloads are supported.Guard LockSafety-door SwitchD4GLList of ModelsRelease key typeSolenoid voltage and indicator typeLock and release typesContact configuration(door open/closed detection switch andlock monitor switch contacts)Conduit opening Model StandardSolenoid: 24 VDC Orange/green LED: 24 VDCMechanical lock, Solenoid release1NC/1NO+1NC/1NOPg13.5D4GL-1AFA-A G1/2D4GL-2AFA-A M20D4GL-4AFA-A 1NC/1NO+2NCPg13.5D4GL-1BFA-A G1/2D4GL-2BFA-A M20D4GL-4BFA-A 2NC+1NC/1NOPg13.5D4GL-1CFA-A G1/2D4GL-2CFA-A M20D4GL-4CFA-A 2NC+2NCPg13.5D4GL-1DFA-A G1/2D4GL-2DFA-A M20D4GL-4DFA-A 2NC/1NO+1NC/1NOPg13.5D4GL-1EFA-A G1/2D4GL-2EFA-A M20D4GL-4EFA-A 2NC/1NO+2NCPg13.5D4GL-1FFA-A G1/2D4GL-2FFA-A M20D4GL-4FFA-A 3NC+1NC/1NOPg13.5D4GL-1GFA-A G1/2D4GL-2GFA-A M20D4GL-4GFA-A 3NC+2NCPg13.5D4GL-1HFA-A G1/2D4GL-2HFA-A M20D4GL-4HFA-A Solenoid lock,Mechanical release1NC/1NO+1NC/1NOPg13.5D4GL-1AFG-A G1/2D4GL-2AFG-A M20D4GL-4AFG-A 1NC/1NO+2NCPg13.5D4GL-1BFG-A G1/2D4GL-2BFG-A M20D4GL-4BFG-A 2NC+1NC/1NOPg13.5D4GL-1CFG-A G1/2D4GL-2CFG-A M20D4GL-4CFG-A 2NC+2NCPg13.5D4GL-1DFG-A G1/2D4GL-2DFG-A M20D4GL-4DFG-A 2NC/1NO+1NC/1NOPg13.5D4GL-1EFG-A G1/2D4GL-2EFG-A M20D4GL-4EFG-A 2NC/1NO+2NCPg13.5D4GL-1FFG-A G1/2D4GL-2FFG-A M20D4GL-4FFG-A 3NC+1NC/1NOPg13.5D4GL-1GFG-A G1/2D4GL-2GFG-A M20D4GL-4GFG-A 3NC+2NCPg13.5D4GL-1HFG-A G1/2D4GL-2HFG-A M20D4GL-4HFG-ADimensions(Unit: mm)mounting holesD4GL-SK10-LK (Close door.)40 ×Safety PrecautionsRefer to the “Precautions for All Switches” and “Precautions for All Safety Door Switches”.•Do not drop the Product. Doing so may prevent the Product from functioning to full capacity.•Mount the Product securely to prevent it from falling. Otherwise, injury may occur.•Do not attempt to disassemble or modify the Switch. Doing so may cause the Switch to malfunction.•Make sure that the gap between the shot bolt and the guide is ±0.5 mm. Otherwise, excessive wear or damage may cause malfunction.•To ensure safety, do not operate the Switch with anything other than the Slide Key Unit.•Your hand may be injured by being pinched between the Operation Key and Switch when closing the door with your hand on the Product.•Be careful to avoid pinching your hand when operating the Slide Handle.•Do not impose a force of exceeding 1 N·m when operating the Lockout Key. Otherwise, the Product may be damaged and may not operate properly.To prevent damage, attach the supplied labels for display near the Product.•Do not force the slide handle to move when the lockout key is not inserted. Doing so may damage the product and make operation impossible.•Do not force the slide handle to move when the door is locked. •Do not close the door with the shot bolt removed. Doing so may damage the product and make operation impossible.•Turn the Lockout Key to the "SLIDE LOCK" position and remove it when opening the door to prevent a third party from operating the Slide Handle.•The durability of the Switch varies considerably depending on the switching conditions. Always confirm the usage conditions by using the Switch in an actual application, and use the Switch only for the number of switching operations given in the performance specifications.•The user must not maintain or repair equipment incorporating the Switch. Contact the manufacturer of the equipment for any maintenance or repairs required.•Refer to the D4GL Guard Lock Safety-door Switch Datasheet and Instruction Sheet about storage conditions, ambient conditions, Switch details, and handling methods.•Do not apply excessive force in the direction of the slide. This may damage the product and cause it to malfunction.•Do not force the switch or cable. Thismay damage the product. The cableshould be fixed at a point separatefrom the switch.•This product is for D4GL Guard Lock Safety-door Switch only. This product cannot be used with any other manufacturer's doorswitches.•Use the Slide Handle in the direction A or B in the following figure.•Loose screws may result in malfunction. Use washers and tighten the screws to the specified torques. Mount the Slide Base at four points with screws. Adding adhesive is recommended forpreventing the screws from loosening.Also, when mounting the Product to a door for disable-prevention purposes, purchase and use tamper-resistant screws. Appropriate Tightening TorqueTechnical Specifications•Do not store the Switch where corrosive gases (e.g., H2S, SO2,NH3, HNO3 or Cl2) or dust is present, or in locations subject to hightemperature or humidity.•Perform maintenance inspections periodically.•When the lockout key is attached to your wrist, be careful that thestrap does not get stuck in equipment.Do not use this product mounted so that it slidesvertically. This may cause malfunction, resulting inpersonal injury.Do not insert the operation key with the door open.Devices may start to operate, resulting in injury.Precautions for Safe UsePrecautions for Correct UseSlide Key mounting screw (M6) 6.0 to 7.0 N·mOperation key special mounting screw (screws supplied) 2.4 to 2.8 N·mSwitch special mounting screw (screws supplied) 1.3 to 1.5 N·mAmbient operating temperature−10 to 55°C (with no icing)Ambient operating humidity95% max.Mechanical durability20,000 operations min.WeightApprox. 0.6 kg (not including D4JL GuardLock Safety-door Switch)NomenclatureDifferences between Lockout Key and Trapped Key (Reference)•When mounting the operation key, line up the inside edges of the long operation key holeswith the outer edges of the slidehandle as in the following figure to ensure easy position adjustment.•Use the supplied special screws to mount the operation key and D4GL Guard Lock Safety-door Switch.To tighten the screws, use the tip of a flat-head screwdriver on the screw heads as shown in the following figure.•The special screws cannot be removed once they are tightened.Lockout keyTrapped key(Refer to information on theD4JL-@@@A-@7-@@)Closing the doorThe door cannot be closed unless the lockout key is inserted in the slide and turned.The door cannot be closed unless the trapped key is inserted in the Switch and turned.Opening the door The door can be opened bysupplying power to the Switch solenoid without operating thelockout switch.The door can never be opened without both supplying power to the Switch solenoid andoperating the trapped key.G L Note:designed so that they cannot be turnedcounter-clockwise using a flat-head screwdriver.Read and Understand This CatalogPlease read and understand this catalog before purchasing the products. Please consult your OMRON representative if you have any questions orcomments.WARRANTYOMRON's exclusive warranty is that the products are free from defects in materials and workmanship for a period of one year (or other period if specified) from date of sale by OMRON.OMRON MAKES NO WARRANTY OR REPRESENTATION, EXPRESS OR IMPLIED, REGARDING NON-INFRINGEMENT, MERCHANTABILITY, OR FITNESS FOR PARTICULAR PURPOSE OF THE PRODUCTS. ANY BUYER OR USER ACKNOWLEDGES THAT THE BUYER OR USER ALONE HAS DETERMINED THAT THE PRODUCTS WILL SUITABLY MEET THE REQUIREMENTS OF THEIR INTENDED USE. OMRON DISCLAIMS ALL OTHER WARRANTIES, EXPRESS OR IMPLIED.LIMITATIONS OF LIABILITYOMRON SHALL NOT BE RESPONSIBLE FOR SPECIAL, INDIRECT, OR CONSEQUENTIAL DAMAGES, LOSS OF PROFITS OR COMMERCIAL LOSS IN ANY WAY CONNECTED WITH THE PRODUCTS, WHETHER SUCH CLAIM IS BASED ON CONTRACT, WARRANTY, NEGLIGENCE, OR STRICT LIABILITY.In no event shall the responsibility of OMRON for any act exceed the individual price of the product on which liability is asserted.IN NO EVENT SHALL OMRON BE RESPONSIBLE FOR WARRANTY, REPAIR, OR OTHER CLAIMS REGARDING THE PRODUCTS UNLESSOMRON'S ANALYSIS CONFIRMS THAT THE PRODUCTS WERE PROPERLY HANDLED, STORED, INSTALLED, AND MAINTAINED AND NOTSUBJECT TO CONTAMINATION, ABUSE, MISUSE, OR INAPPROPRIATE MODIFICATION OR REPAIR.SUITABILITY FOR USEOMRON shall not be responsible for conformity with any standards, codes, or regulations that apply to the combination of products in the customer's application or use of the products.At the customer's request, OMRON will provide applicable third party certification documents identifying ratings and limitations of use that apply to the products. This information by itself is not sufficient for a complete determination of the suitability of the products in combination with the end product, machine, system, or other application or use.The following are some examples of applications for which particular attention must be given. This is not intended to be an exhaustive list of all possible uses of the products, nor is it intended to imply that the uses listed may be suitable for the products:•Outdoor use, uses involving potential chemical contamination or electrical interference, or conditions or uses not described in this catalog.•Nuclear energy control systems, combustion systems, railroad systems, aviation systems, medical equipment, amusement machines, vehicles, safety equipment, and installations subject to separate industry or government regulations.•Systems, machines, and equipment that could present a risk to life or property.Please know and observe all prohibitions of use applicable to the products.NEVER USE THE PRODUCTS FOR AN APPLICATION INVOLVING SERIOUS RISK TO LIFE OR PROPERTY WITHOUT ENSURING THAT THE SYSTEM AS A WHOLE HAS BEEN DESIGNED TO ADDRESS THE RISKS, AND THAT THE OMRON PRODUCTS ARE PROPERLY RATED AND INSTALLED FOR THE INTENDED USE WITHIN THE OVERALL EQUIPMENT OR SYSTEM.PROGRAMMABLE PRODUCTSOMRON shall not be responsible for the user's programming of a programmable product, or any consequence thereof.CHANGE IN SPECIFICATIONSProduct specifications and accessories may be changed at any time based on improvements and other reasons.It is our practice to change model numbers when published ratings or features are changed, or when significant construction changes are made.However, some specifications of the products may be changed without any notice. When in doubt, special model numbers may be assigned to fix or establish key specifications for your application on your request. Please consult with your OMRON representative at any time to confirm actualspecifications of purchased products.DIMENSIONS AND WEIGHTSDimensions and weights are nominal and are not to be used for manufacturing purposes, even when tolerances are shown.PERFORMANCE DATAPerformance data given in this catalog is provided as a guide for the user in determining suitability and does not constitute a warranty. It may represent the result of OMRON’s test conditions, and the users must correlate it to actual application requirements. Actual performance is subject to the OMRON Warranty and Limitations of Liability.ERRORS AND OMISSIONSThe information in this document has been carefully checked and is believed to be accurate; however, no responsibility is assumed for clerical,typographical, or proofreading errors, or omissions.2010.3In the interest of product improvement, specifications are subject to change without notice. OMRON CorporationIndustrial Automation Company/(c)Copyright OMRON Corporation 2010 All Right Reserved.分销商库存信息:OMROND4GL-2FFA-A D4GL-2DFG-A D4GL-4HFG-A D4GL-4DFG-A。
Unit+4Section+A(教学课件)+2024-2025学年人教版(2024)七年级英语上册
Binbin: What’s our next class, Emma?
Emma: History. It’s my favourite subject.
Binbin: Why do you like it?
/pɑːst/过去
Emma: It’s interesting to learn about the past.
Meimei: Why?
Binbin: Because I’m good with numbers.
Meimei: Oh, It’s difficult for me. Can you help me with this
subject?
Binbin: Sure!
Meimei: Hey, look at the time. Let’s go to class!
Binbin: What’s your favourite subject, Meimei?
Meimei: My favourite subject is English. It’s____u_s_e_ful
and my English teacher is really nice. How about you,
Unit 4
My Favourite Subject
Section A
Look at the picture and answer the questions.
1. What are they doing?
They are having the class.
2. What class is it?
2b Read the conversation and complete the table.
新视野大学英语读写教程(第三版)第二册 Unit 4 section A
disgust---disgusting
a.
alarm---alarming
welcome---welcoming
surprise---surprising
describing an effect that sth has on your feelings and ideas
热情的微笑/ 诱人的蛋糕
Look at the pictures and discuss
Lead-in
Look at the pictures and discuss
Lead-in
Look at the pictures and discuss
Lead-in
Look at the pictures and discuss
你终究会不用在乎批评了。
Being the only son in the family, the young man was immune from military service.
由于是独子,那个年轻人免于服兵役。
proceed
vi.继续做(或从事、进行)
Let's proceed with our work.
我们接着干吧。
Having said she wasn't hungry, she then proceeded to order a three-course meal.
她先说不饿,接着却要了一份三道菜的大餐。 vi.前进,移动
The marchers proceeded slowly along the street.
International Court of Justice.
葡萄牙向国际法院提出了申诉。
v.(付款)寄住,借宿;租住
Unit 4 Section A(2a-Grammar Focus)课件人教版2024新教材七上英语
useful adj. 有用的
It’s useful for sb to do sth 做某事对某人是有用的
Meimei: Why?
How about=What
Binbin: Because I'm good with numbers. about……怎么样
be good with善 于应付的
Emma: Oh, it's difficult for me. Can you help me with
Who are they?
They are Binbin, Emma and Meimei.
What are their favorite subjects and why?
Name Favourite subject
Emma History
Reason 原因
interesting
Binbin maths
Mary
-What’s Mary’s favorite subject? -Her favorite subject is… Why does she like it? Because she thinks it’s …
relaxing
-What’s Dave’s favorite subject? -His favorite subject is…
3a Read the sentences. Complete the statement with and , but,
or because.
complete v. 完成
statemeut
reason n. 原因
1.We use “ because” to give a reason. 2.We use “ and ” to give another idea. 3.We use “ but ” to say how two ideas are different.
Starter Lesson 4 Hold a party 课件-外研版新教材七年级上册
I’m going to start a football club. I’m going to be more independent. I’m going to make progress in my study. I’m going to get better at English.
Starter Welcome to junior high!
Hold a party
Learning Objectives
In this lesson you will: 1. know how to hold a party; 2. make your wish for junior high school life; 3. learn to make a plan for your wish.
To make more friends, I’m going to join some after-school clubs...
...
Step 1: Prepare a party.
Now finish a mind map of how to prepare for a party.
food&drinks snacks, juice
What do you need?
activities playing games sing songs
Imagine you are planning a party for the first week of school, what preparations(准备) you can do?
We can think about when to have the party. We can prepare food and drinks for the party.
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振兴社区安置一区工程4-A#楼填充墙砌体施工方案江苏省苏中建设集团股份有限公司振兴社区项目部2015年11月一、编制依据:1、振兴社区安置一区工程施工组织设计2、《砌体工程施工质量验收规范》GB 50203-20113、《建筑工程施工质量验收统一标准》GB50300-20134、《混凝土结构工程施工质量验收规范》(GB50204-2002)5、振兴社区安置一区工程施工图纸二、工程概况:1、工程名称:振兴社区安置一区工程2、工程地址:日照市黄海二路南,海滨二路东3、结构类型:混凝土框架剪力墙结构,车库地下二层,4栋主楼,其中4#楼32层,5#楼30层,9#楼26层,10#楼24层,本工程建筑设计使用年限:一类、50年,主体抗震设防类别为:丙类,抗震设防烈度为:7度。
4、建设单位:日照市东港区石臼街道振兴社区居民委员会5、设计单位:青岛雍达筑城建筑设计院有限公司6、施工单位:江苏省苏中建设集团股份有限公司三、施工图纸设计要求1、材料要求(1)本工程所用材料为加气混凝土砌块,实心砌体强度为MU2.5,空心砌体强度MU3.5(2)砌筑砂浆均采用水泥砂浆。
强度为M5。
(4)填充墙厚度为:100mm、200mm。
(5)构造柱、过梁、圈梁、采用C25混凝土。
2、结构要求(1)构造柱①墙长度大于5m时,应设置构造柱。
②墙长超过层高2倍时,应在填充墙长度中部位置、以及两端无钢筋混凝土柱(墙)处设置钢筋混凝土构造柱,间距不大于5m。
③门窗洞口两侧设置构造柱④屋顶女儿墙每隔2~2.5m设置构造柱⑤挑梁端部设置构造柱构造柱截面尺寸为墙厚×200mm,其配筋为主筋4φ12,箍筋φ6@200,详构造柱断面图。
纵向钢筋采用植筋,植筋孔深入结构混凝土≥100mm,混凝土强度等级为C25。
砌体在构造柱部位应留成马牙槎,上下皮错开马牙槎宽度为≥60mm,从根部按先退后进的原则留置,间隔一皮加气混凝土砌块的高度错槎。
填充墙与构造柱拉筋设置如下图:(2)过梁砌体洞口不小于700时,设置钢筋混凝土过梁,当洞顶距梁底净高h0小于h+120时,改用下挂板代替过梁,当洞侧与柱、抗震墙距离小于过梁支撑长度时,柱、墙在相应位置预留钢筋。
(3)圈梁每层墙高中部设置120高同墙厚沿全长贯通的钢筋混凝土圈梁,陪纵筋为4Φ8,箍筋为Φ6@200(4)填充墙拉接筋填充墙与结构混凝土柱、墙连接处设置墙体拉结筋,拉筋从结构板面200mm高度起按间距500mm,2φ6设置,拉结筋深入墙体≥100mm,拉筋采用植筋与结构混凝土拉结,主楼拉墙筋长度为800mm,裙房拉墙筋沿墙全长贯通。
(5)砌体窗台首层和底层砌块外墙窗台处设置120厚全长贯通钢筋混凝土窗台梁,配置4Φ8,箍筋为Φ6@200,其他层设置60厚全长贯通钢筋混凝土带,配置2Φ8,水平拉筋Φ6@200。
(6)楼梯间楼梯间填充墙拐角处未设柱时,应按图设置墙体加强筋。
8、9度抗震时,拉筋沿墙全长贯通,楼梯间和人流通道的填充墙应采用钢丝网砂浆面层。
四、施工准备4.1、技术准备1、熟悉施工图纸、图纸会审记录及施工组织设计对现场专业工长进行书面形式技术交底。
2、根据施工图纸总说明,确定构造柱、墙体水平筋、洞口过梁、腰梁、门洞口包框等的位置及钢筋规格、型号。
3、现场搅拌砂浆做好配合比计量工作。
4.2、材料准备1、根据施工图纸计算工程量,确定材料种类及各阶段材料用量,确定供货厂家,确保材料和工程进度同步。
2、根据图纸采用加气混凝土砌块,砌体强度不低于M3.5。
3、根据图纸中所有钢筋采用三级钢4、本工程砌筑砂浆采用现场搅拌砂浆,砂浆强度等级为M5。
5、本工程砌筑结构的构造柱、过梁、圈梁混凝土采用商品混凝土,混凝土强度等级为C25,坍落度要求为80±10mm。
4.3、劳动力准备根据本工程争创优质结构工程的目标。
砌体施工班组要求劳务选择高素质的施工作业队伍及有经验的专业工种人员,分级签定劳务合同,施工前由项目安全员进行入场三级教育。
本项目部配备为专业砌筑工长。
劳动力需用计划表4.4、施工机具准备本工程砌体施工采用以下施工机具,其他施工班组自带。
主要施工机械需用计划表小型施工机具需用计划表五 施工部署5.1施工顺序根据本工程实际施工情况,施工电梯安装调试好后开始砌筑。
因此在砌体工程大面积展开之前,先砌筑样板层,待建设、设计、监理、施工单位验收合格后再大面展开,首先砌筑地下室一至三层砌体,然后随混凝土结构施工进度逐层施工。
卫生间、厨房墙体底部上翻梁浇筑250mm高C25混凝土,宽度同墙厚。
六施工方法6.1砌筑前准备1基层处理将楼地面上的泥土、混凝土浮浆、碎渣用铁锹、凿子铲除,并用水冲洗干净,除去浮尘。
2定位放线(1)根据施工图纸和施工实际情况,在结构墙或柱上弹好500mm 或1000mm的建筑标高线,在楼地面上弹好墙身线、门洞口线、填充墙立边线,并将洞口边线标高控制在梁柱上。
(2)制作皮数杆,在结构墙、柱上弹好过梁或圈梁位置线、墙体拉接筋位置线。
3墙拉筋植筋采用直径φ6冲击钻钻眼成孔,孔深不小于100mm,除去孔内碎屑,用吹风机将孔内灰尘吹干净,再用水将孔内冲洗干净,等待24小时干燥以后,再将钢筋上植筋胶后,慢慢塞进孔内,静置24小时后,经检拉拔试验合格后开始砌筑。
4砂浆的拌制砂浆拌制前先进行配合计量,严格控制现场搅拌砂浆的强度。
并制作配合比牌悬挂搅拌机边,定期进行配合比检查复核。
5材料准备及搬运(1)加气混凝土砌块、水泥砖采用斗车通过施工电梯垂直运输至施工楼层,按照施工图纸要求,将不同规格的砌块沿墙两边堆码整齐,与墙边线应留余一定的操作距离;堆码高度不应大于20皮砖的高度,砌体材料的堆放不宜过于集中。
(2)砌筑砂浆搅拌好后用斗车运至施工楼层,砂浆应随拌随用。
砂浆倒在楼面上使用时,底部应采用旧模板垫起,严禁直接倾倒在楼面上。
6填充墙砌块组砌①立面排块:根据墙体净高度、砖的高度及灰缝厚度计算皮数,选择合适的组合排砖方法,确定砖块的层数。
应注意考虑门洞口过梁及圈梁高度和位置和顶部斜砌高度。
②平面排块:砌筑前在平面位置处应先排一下砌块,将砌块沿轴线方向,在柱与墙之间,干摆砌块,调整好缝隙(注意门洞口及构造柱处的处理),排到墙的两端时,排不了整块时,可以把砌块进行割锯,但长度不能少于整块长度的1/3。
6.2砌筑施工方法及操作要点1、砌筑前,提前将结合部位润湿,以保证粘结牢固。
2、砌体施工时,必须在墙体两侧双面挂线,挂线一定要拉紧绷直。
3、墙体底部水泥砖宜采用“三一”法砌筑,其高度不宜小于200mm,如墙体底部凹凸不平,可适当以C25细石混凝土找平。
4、砌块砌筑采用先铺砂浆后压砖校正的方式进行,根据灰缝厚度要求用灰铲将砂浆铺开,以两个砌块用灰量为宜,然后将砌块对准砌筑线平稳搁置,进行挤压、用木锤锤打直至与砂浆紧密结合为止。
5、砌筑应从转角处或交叉墙开始顺序推进,内外墙应同时砌筑,纵横墙应交叉搭砌,砌筑时应上下错缝,填充墙不得通缝,搭接长度不宜小于砌块长度的1/3。
6、水平灰缝的砂浆应饱满,水平灰缝的砂浆饱满度不得低于80%,砌块砌体水平灰缝宽度为15mm,竖向灰缝可采用挤浆,使其砂浆饱满,宽度为20mm。
灰缝应横平竖直,砂浆饱满,垂直灰缝宜用内外夹板灌缝不得出现透明缝、瞎缝或假缝,水平灰缝的砂浆饱满度不得小于80%。
7、每层砌块都要拉线看平,使水平缝均匀一致、平直通顺。
宜采用外手挂线,可以照顾砖墙两面平整,从而控制抹灰厚度。
灰缝应随砌筑随勾缝,每砌一皮砌块,就位校正后,用砂浆灌垂直缝,随后进行灰缝的勒缝,深度为3~5mm。
8、每层砌筑至楼盖部位时,顶部留出3CM,待主体结构完成后,自上而下,采用防腐木楔每隔600设置一道,将墙体楔紧后采用C25细石混凝土填实。
9、砌块墙体的转角处和交接处应同时砌筑,严禁无可靠措施的内外墙分砌施工;对不能同时砌筑而且必须留置的临时间断处应砌成斜槎,斜槎水平投影长度不得小于高度的2/3。
临时间断处补砌时应将接槎处灰浆及杂物清理干净,浇水湿润,并用砂浆填实保持灰缝顺直。
10、通风管井在砌筑时,井道内壁要随砌随进行抹灰、压光。
11、凡有穿过墙体的管道,应预先留设。
管线从墙体上穿过时应先弹线定位后用切割机开槽,不得在已经砌筑墙体上凿槽打洞。
12、砌筑外墙时,尽量不留或少留脚手眼,墙中如预留脚手眼,不得用干砖填塞,应在抹灰前安排专人从外面用M5水泥砂浆填实,以防留下墙体渗、漏隐患。
6.3构造柱施工1、钢筋植筋后,应根据构造柱、圈梁、过梁的截面位置将结构混凝土接触面凿毛,并用水冲洗干净。
2、构造柱、圈梁钢筋采用搭接,搭接长度满足Ⅰ级钢筋搭接31d,主筋保护层均为20mm。
3、构造柱、圈梁等模板的支设要密封严实,防止漏浆。
4、构造柱混凝土可以采用分段进行,每次浇筑至圈梁或窗台压顶位置。
5、混凝土浇筑前应先浇水湿润,浇注要振捣密实。
6、构造柱支模至梁底300mm高处时,用模板支设45°角的混凝土浇筑进料口,在浇筑完砼并达到初凝后,将此三角形部分混凝土凿除。
7、浇筑圈梁、过梁混凝土时,混凝土梁面应找平拉毛。
8、在混凝土施工过程中,要注意对钢筋和砌体的成品保护,严禁随地倾倒和遍地洒落混凝土,混凝土流浆要及时清理干净。
6.4专业配合问题安装设有各类管井,电管为暗装,因此砌体工程施工时,要切实作好安装管道孔、洞、槽的配合准确预留工作。
填充墙体上预留设备洞,应配合其他专业图纸进行,设备用房需设备安装完毕后再做填充隔墙。
通风井道随砌随抹。
在砌体工程施工过程中,木工、钢筋工、混凝土工、植筋工、安装队伍、砖瓦、抹灰工等各工种要密切配合,穿插进行施工。
进一步加强对施工现场安全生产及文明施工的措施和管理力度。
6.5砌筑施工用脚手架本工程除地下室及一至五层层高较高外,主楼楼层内砌筑至距地1.5m高位置时全部采用60mm~80mm木凳;砌筑车库部分须搭设双排钢管脚手架,搭设要求满足:立杆横距1.2m,立杆纵距1.5m,内立杆距墙皮的距离0.35m,步距1.8m,如果墙体长度较长,应在两端和中部分别设置三道支撑在楼面或柱面的抛撑,脚手架操作层铺设并排三块竹跳板,并用16号铁丝扎紧捆牢。
七、质量要求及保证措施1、项目工长认真学习施工图纸、相关技术标准、施工规范和操作规程。
2、由项目工长向劳务工长技术交底,劳务工长向班组长,班组长对班组作业人员的交底。
严格执行施工中各工序的自检、互检、交接检制度,对操作人员,实行定部位定人,层层把关。
实行样板房引路制度,砌筑样板经甲方、监理、施工验收合格后开始大面积施工。
7.1质量要求1、主控项目应全部符合规范要求:(1)砖的干容重、强度等级必须符合设计要求。
(2)砌筑砂浆的强度必须符合设计要求。
2、一般项目符合规范要求。
3、砌体砂浆必须密实饱满,采用百格网检查块材底面砂浆的粘结痕迹面积,水平、垂直灰缝的砂浆饱满度必须≥80%。