2012余姚中学自主招生
2012年余姚中学自主招生科学模拟试卷
2012年余姚中学自主招生科学模拟试卷一、单项选择题(1-10题每题只有一个正确答案)1、白令海峡是亚欧大陆与北美大陆相距最近处，如果在这里修建一条铁路同原有铁路连通，可以为两大陆提供一条便捷的陆上交通通道。
一列时速为189km 的火车，北京时间3月8日20：00从北京直发洛极矶（两城市图上铁路线长约12.6cm 。
不考虑涂中停车时间），到达终点站时当地区时为3月 （ ）A 、11日16：00B 、12日8：00C 、12日16：00D 、 13日8：002、下列与人的生理有关的叙述中，不正确．．．的是（ ） A.糖类在人体内代谢的最终产物是CO ２和H ２O B.人的胃液中含有少量盐酸，可以帮助消化C.剧烈运动时人体代谢加快，代谢产物不能及时排出，血液的pH 升高D.煤气中毒主要是CO 与血红蛋白牢固结合，使血红蛋白失去输氧能力3、“小草依依，踏之何忍。
”设置这条提示语提醒人们不要践踏小草，因为经常在草坪上行走，会造成土壤板结，从而影响草的生长。
土壤板结影响植物生长的主要原因是（ ）A.植物缺少无机盐，影响生长B.植物缺少水，影响光合作用C.土壤缺少氧气，影响根的呼吸D.气孔关闭，影响蒸腾作用4、为了探究铁和硫酸铜溶液反应中量的关系。
某兴趣小组做了五组实验。
实验结果记录如下：A.2.24, 4.98B.2.24, 6.40C.3.36, 5.12D.3.36, 4.985、溶液的碱性强弱跟溶液中OH －的数量有关。
一定体积的溶液中OH －数量越多，则溶液碱性越强。
溶质质量分数为10%的NaOH 溶液（密度为1.1g/cm 3）与溶质质量分数为10%的KOH 溶液（密度也为1.1g/cm 3）相比较，碱性更强的是( )A ．NaOH 溶液B ．KOH 溶液C ．一样强D ．无法比较6、现有盐酸和CaCl 2的混合溶液，向其中逐滴加入过量某物质x ，溶液的pH 随滴入x 的量的变化关系如右图所示。
2012余姚中学招生数学模拟试题(一)
2012年余姚中学自主招生考试数学模拟卷（一）（考试时间90分钟，总分120分）一、选择题(本大题共10小题，每小题4分，共40分，在每一小题给出四个选项中，有且仅有一个选项是符合题目要求．)1．下列命题：①有两边及一边的对角对应相等的两个锐角三角形全等；②有两边及一边的对角对应相等的两个直角三角形全等；③有两边及一边的对角对应相等的两个钝角三角形全等其中正确的说法是（ ）A 、①②B 、②③C 、②D 、①②③2．已知n 是正整数，下列代数式中，哪一个代数式的值可能是某个自然数的平方（ ） A 、2612n n ++ B 、2712n n ++ C 、2812n n ++ D 、 21526n n ++3．从长度分别为1，2，3，4，5的五条线段中，任取三条的不同取法共有n 种，这些取法中， 以取出的三条线段为边可组成的钝角三角形的个数为m, 则nm的值为（ ） A 、101 B 、51 C 、103 D 、52 4．已知关于x 的不等式组230320a x a x +>⎧⎨-≥⎩恰有3个整数解，则a 的取值范围是（ ）A 、23≤a ≤32 B 、43≤a ≤32 C 、43＜a ≤32 D 、43≤a ＜325．已知函数2,0,,0x x y x x -≤⎧=⎨>⎩ ，若4y =，则数x 值为（ ）A 、—4或—2B 、 —4或2C 、—2或4D 、—2或26．某彩电厂家为了打开市场,促进销售,准备对其生产的某种型号的彩电降价销售,在下面四种降价方案中, 当满足a>0,b>0,a≠b 时,降价幅度最小的是( ) A 、 先降价a%,再降价b% B 、 先降价b%,再降价a% C 、先降价2a b +%,再降价2a b+ % D 、一次性降价(a+b)% 7．先阅读，后填空：在逻辑学中：当命题“若 A 则 B ”为真时，A 称为 B 的充分条件；当命题“若 B 则 A ”为真时，A 称为 B 的必要条件；当命题“若 A 则 B ”与“若 B 则 A ”皆为真时，A 是 B 的充分必要条件，同时，B 也是 A 的充分必要条件； 当命题“若 A 则 B ”为真，而“若 B 则 A ”为假时，我们称 A 是 B 的“充分但非必要条件”，B 是A 的“必要但非充分条件”；反之亦然. 命题“a>1”是命题“11a<”的( ) A ．充分必要条件 B ．充分不必要条件 C ．必要不充分条件 D ．既非充分也非必要条件 8．当抛物线c bx ax y ++=2与x 轴两交点及抛物线上一点P 组成以P 为直角顶点的直角三角形时，点P 的纵坐标( )A 、只与a 有关B 、只与b 有关C 、只与c 有关D 、与a 、b 、c 均有关9． 如图1, CD 是RT △ABC 斜边上的高，如图2, 正方形CDEF 是 RT △ABC 的内接正方形，如图3, CD 是△ABC 的角平分线且∠ACB=120°，在图1、图2、图3三个图形中，满足111AC BC CD+=的有（ ）A 、图1、图2B 、图2、图3C 、图1、图3D 、图1、图2、图310． 如图4，直线43y x =与双曲线ky x=（0x >）交于点A ． 将直线43y x =向右平移92个单位后，与双曲线ky x=（0x >） 交于点B ，与x 轴交于点C ，若2=BCAO，则k 的值为（ ） A 、4 B 、8 C 、9 D 、12二、填空题(本大题共7小题，每小题4分，共28分)11．用[x ]表示不大于x 的最大整数，如[4.1]=4，[-2.5]= -3，则方程6x -3[x ]+7=0的解是 . 12.已知a 是方程3210x x +-=的一个实数根，则函数1y ax a =-+的图像不经过第 象限. 13．线段a x y +-=21（1≤x ≤3），当a 的值由-1增加到2时，该线段运动所经过的平面区域的面积为__________________． 14．已知，直线y=34x+4与x 轴，y 轴分别交于A ，B 两点，点C 在y 轴上，若将△ABC 沿AC 折叠，使点B 恰好落在x 轴上的点D 处，则点C 的坐标是 ．15．将一正五边形纸片沿其对称轴对折．旋转放置，做成科学方舟模型．如图所示，该正五边形的边心距OB 长为2，AC 为科学方舟船头A 到船底的距离，则1AC AB += ．ABD图1 图2图3图416． 如图，M 是弧CAB 的中点，MP 垂直弦AB 于P,若弦AC 的长度为x ，线段AP 的长度是x+1，则用含x 的代数式表示线段BP= .17．已知A 为直线y =B 为（1，0）、点C 为（7，0），D 为平面内一点，当以A 、B 、C 、D 为顶点的四边形是有三边相等的等腰梯形时，则点D 的坐标为 .三、解答题(本大题共52分)18. （本题10分） 有一列数123,,,,n a a a a ，满足下列条件：10a =，211a a =+，3211,,1n n a a a a -=+=+ .求证：123,,,,n a a a a 这n 个数的算术平均数不小于12-.19. （本题10分）证明不等式：22222()()()a b c d ac bd ++≥+，并利用此不等式求函数y =20．（本题10分）已知，如图，AB=BM,AC=CN,P 是A 关于BC求证：PA 是∠NPM 的平分线.21．（本题10分）求出所有正整数a,使方程22(21)4(3)0ax a x a +-+-=至少有一个整数根.22．（本题12分）已知点P 是抛物线2y x =上一点，过点M （0，2M ，（1）过点P 作⊙M 的两条切线1l 、2l ，若1l ⊥2l ，求点P 的坐标；（2）若过点Q(2,4)的直线l 与抛物线2y x =只有一个公共点时，求出点M 与直线的距离.P参考答案1．A 提示：对于①可作高，再证全等，②显然成立，对于③可举反例说明不成立.2.D 提示：因为2(3)n +<2612n n ++<2712n n ++<2812n n ++<2(4)n +，所以A 、B 、C 均不成立 而2(5)n +<21526n n ++<2(8)n +，若21526n n ++=2(6)n +，3n=10，n 不为整数； 若21526n n ++=2(7)n +，n=23，21526n n ++=230. 3．B 提示：共10种情况，边长为2，3，5或2，4，5时，组成的三角形为钝角三角形. 4．B 提示：取a =32、43验证. 5.B 提示：若0x ≤，4x -=，4x =-；若0x ＞，24x =，2x =±，0,2x x ∴= ＞. 6.C 提示：设降价前彩电的价格为1,降价后的彩电价格依次为x 1、x 2、x 3、x 4 则x 1=(1-a%)(1-b%)=1-(a+b)%+a%·b%, x 2=(1-b%)(1-a%)=x 1,()()()()241231312324%%1a b % a b %,x 1a b %1a b %a%b%x x ,x x a%b%0,x x x x 111224%.%2a b a b x a b ++⎛⎫⎛⎫=-- ⎪⎪⎝=-+++⎡⎤⎣⎦=-+<-++⎭⎝⎭+⎛⎫- ⎪==-=>∴>=⎝>⎭7.B8． A 提示：P 的纵坐标为1a- 9．B10.D 提示：过A 作AD 垂直x 轴于D ，过B 作BE 垂直于x 轴于E,由题意有△OAD ∽△CBE,设CE=a ，BE=b,故OD=2a ，AD=2b,故A （2a ，2b ）、B （9/2+a ，b ）,故有2b=k/(2a)，b=k/(9/2+a),解得a=3/2,又A 在43y x =上，故b/a=4/3，所以k=4ab=4a ·b/a=12 11.利用x-1＜[x ]≤x ，求得107,33x -<≤-[x ]= 3-或4-，x=81936--或 12.用描点法画出3210x x +-=草图，可知0＜a ＜1，再画出1y ax a =-+草图，可看出函数1y ax a =-+的图像必定不经过第四象限13. 6 14.3(,0)2-或（6，0） 15.设正五边形边长为a ，面积为s ，则111252222s a a AC a AB =⨯⨯⨯=⨯⨯⨯+⨯⨯，得152AC AB += 16.过M 画AB 的平行弦MN 过N 作AB 的垂线交AB 于Q ，易证PQ=x ，QB=AP=x+1，BP=2x+117．分类讨论，11(2、、(1,-、(10,- 18.证明：∵10a =，211a a =+，3211,,1n n a a a a -=+=+ ， ∴22222221211322110,21,21,,21n n n a a a a a a a a a a --==++=++=++ ， ∴222222121211212221n n n a a a a a a a a a n --+++=+++++++- ，∴212(1)122n n a a a a n n ++++=- ≥12-，1n a =-时取等号. 19．证明：∵222222()()()()0(,.) a b c d ac bd da bc ad bc ++-+=-≥=当且仅当时等号成立，∴22222()()() a b c d ac bd ++≥+(,.)ad bc =当且仅当时等号成立 函数y =x 的取值范围为1≤x ≤6，2222222211]]3515y [y 15.y 00y .81x 3.=⨯⨯∴>∴<=++==∴==≤≤由题意知即时等号成立20.提示：易证，点A 、M 、P 在以点B 为圆心的圆上，∴∠APM=12∠ABM ，同理∠APN=12∠ACN ，易证∠CNA=∠BAC=∠AMB,从而∠BNC=∠BMC, 点B 、N 、M 、C 四点共圆，得∠ABM=∠ACN ，从而∠APM=∠APN21.由原方程知x ≠-2，不妨将方程整理成关于a 的一元一次方程2(44)212x x a x ++=+ 得22121(2)x a x +=≥+（因为a 是正整数），则得(4)(2)0x x +-≤，解得42x -≤≤,因此，x 只能 -4，-3，-1，0，1，2.，分别代入a 的表达式，故所求的正整数a 是1，3，6，10.22．（1）易证点P 、M 和两个切点组成的四边形是正方形，从而PM=2，设P 坐标为（2,t t ），则2242(2)2t t +-=，t =P 的坐标为（0，0）、）、（）；（2）若直线l 平行与y 轴，直线l 即x=2，此时点M 与直线l 的距离为2；若直线l 不平行与y 轴，可求得直线l 为44y x =-，易求得点M 与直线l.。
2012年浙江省宁波市余姚中学自主招生数学模拟试卷(三)
2012年浙江省宁波市余姚中学自主招生数学模拟试卷（三）一、选择题：1．（3分）求和：＝（）A．B．C．D．2．（3分）在直角坐标平面中，已知点P（a，b）（|a|≠|b|），设点P关于直线y＝x的对称点为Q，点P关于原点的对称点为R，则△PQR的形状是（）A．锐角三角形B．直角三角形C．钝角三角形D．不能确定3．（3分）设△ABC中，边BC上一点D满足BC：CD＝4，边CA上一点E满足CA：AE ＝5，边AB上一点F满足AB：BF＝6，那么△DEF的面积：△ABC的面积＝（）A．37：60B．61：120C．59：120D．23：604．（3分）若实数a、b、c满足a+b+c＝0，abc＝2，c＞0，则下列正确的是（）A．ab＜0B．|a|+|b|≥2C．|a|+|b|＞4D．0＜|a|+|b|≤1 5．（3分）如图，正方形OPQR内接于△ABC．已知△AOR、△BOP和△CRQ的面积分别是S1＝1，S2＝3和S3＝1，那么，正方形OPQR的边长是（）A．B．C．2D．36．（3分）某同学用牙膏纸盒制作一个如图所示的笔筒，笔筒的筒底为长4.5厘米，宽3.4厘米的矩形．则该笔筒最多能放半径为0.4厘米的圆柱形铅笔（）A．20支B．21支C．22支D．25支7．（3分）如图，在正方形纸片ABCD中，E为BC的中点．折叠正方形，使点A与点E重合，压平后得折痕MN．设梯形ADMN的面积为S1，梯形BCMN的面积为S2，则的值为（）A．B．C．D．8．（3分）任意选择一对有序整数（b，c），其中每一个整数的绝对值小于或等于5，每一对这样的有序整数被选择的可能性是相等的．方程x2+bx+c＝0没有相异正实根的概率是（）A．B．C．D．9．（3分）已知a，b，c是正整数，且抛物线y＝ax2+bx+c与x轴有两个不同的交点A，B，若A，B到原点的距离都小于1，则a+b+c的最小值为（）A．8B．9C．10D．1110．（3分）如图Rt△ABC中有两种作内接正方形的方法．图（1）作的内接正方形面积为441，（2）中作的内接正方形的面积为440，则AC+BC的值为（）A．456B．458C．460D．462二．填空题11．（3分）如图所示，在梯形ABCD中，AD∥BC（BC＞AD），∠D＝90°，BC＝CD＝12，∠ABE＝45°，若AE＝10，则CE的长为．12．（3分）如图，相离的两个圆⊙O1和⊙O2在直线l的同侧．一条光线跟⊙O1相切射向l 后反射，反射线又跟⊙O2相切，则满足条件的光线共有条．13．（3分）设实数a、b、c满足＝|++|，则函数y＝ax2+bx+c的图象一定经过一个定点，那么这个定点的坐标是．14．（3分）设函数f（x）＝x3+（2+2a﹣a2）x﹣2a（a+1），a为实数．如果关于x的方程f （x）＝0有三个整数根，则实数a的所有值为．三、证明和计算题15．如图，在以点O为圆心的两个同心圆中，小圆直径AE的延长线与大圆交于点B，点D 在大圆上，BD与小圆相切于点F，AF的延长线与大圆相交于点C，且CE⊥BD．找出图中相等的线段并证明．16．min{s1，s2，…，s n}，max{s1，s2，…，s n}分别表示实数s1，s2，…，s n中的最小者和最大者．（1）作出函数f（x）＝|x+3|+2|x﹣1|（x∈R）的图象；（2）在求函数f（x）＝|x+3|+2|x﹣1|（x∈R）的最小值时，有如下结论：f（x）min＝min{f （﹣3），f（1）}＝4．请说明此结论成立的理由；（3）仿照（2）中的结论，讨论当a1，a2，…，a n为实数时，函数f（x）＝a1|x﹣x1|+a2|x ﹣x2|+…+a n|x﹣x n|（x∈R，x1＜x2＜…＜x n∈R）的最值．17．菱形ABCD的内切圆O与各边分别切于E、F、G、H，在EF与GH上分别作⊙O的切线交AB于M，交BC于N，交CD于P，交DA于Q．求证：MQ∥NP．18．如图，在平面直角坐标系xOy中，抛物线y＝x2﹣x﹣10与y轴的交点为点B，过点B作x轴的平行线BC，交抛物线于点C，连接AC．现有两动点P，Q分别从O，C 两点同时出发，点P以每秒4个单位的速度沿OA向终点A移动，点Q以每秒1个单位的速度沿CB向点B移动，点P停止运动时，点Q也同时停止运动，线段OC，PQ相交于点D，过点D作DE∥OA，交CA于点E，射线QE交x轴于点F．设动点P，Q移动的时间为t（单位：秒）．（1）求A，B，C三点的坐标和抛物线的顶点的坐标；（2）当t为何值时，四边形PQCA为平行四边形？请写出计算过程；（3）当0＜t＜时，△PQF的面积是否总为定值？若是，求出此定值，若不是，请说明理由；（4）当t为何值时，△PQF为等腰三角形？请写出解答过程．。
2012年余姚中学自主招生英语模拟试卷
2012年余姚中学自主招生英语模拟试卷（考试时间90分钟总分100分）考生须知：1．本试卷分试题卷和答题卷两部分。
满分100分，考试时间90分钟。
2．所有答案都必须做在答题卷上，务必注意试题序号和答题序号相对应。
3．考试结束后，只需上交答题卷。
卷Ⅰ（共三大题，满分80分）一、单项填空（共20小题，计20分）从A、B、C、D四个选项中，选出可以填入空白处的最佳选项。
1．Tuesday being ____ windy, cold day in Beijing, US President Barack Obama toured ____ Forbidden City in Beijing, wearing ____ blue shirt with no tie and a casual leather packet.A. a; the; theB. a; /; aC. /; /; aD. a; the; a2. ---Tom, you see, I’m a bit tight at hand. Lend me some money, will you?---Sorry, I don’t have ____ at hand myself. You see, all I had went to the new MP3 player.A. anythingB. eitherC. anyD. nothing3. I hope you don’t mind me asking, ____ where did you get the start-up money?A. soB. andC. yetD. but4. ---Why not go to see the film called This is it about Michael Jackson at the weekend?---Oh, I ____ it. It is just so-so.A. sawB. have seenC. will seeD. am seeing5. Japan, ____ has the second-largest economy in the world, imports 60 percent of its food.A. whereB. thatC. whoD. which6. It has been announced that it won’t be long ____ our country ____ an unmanned spaceship toexplore the moon.A. before; sends upB. until; sends upC. since; sends upD. before; will send up7. In total, 43 people have died from H1N1 flu on the French mainland since the beginning of theepidemic in 2009. ____ 27 deaths occurred in French overseas territories.A. OthersB. AnotherC. OtherD. More8. --- Why do you look so worried?--- My house ____ last night and a lot of valuable things ____.A. has been broken into; stealingB. broke into; to be stolenC. was broken into; stolenD. was broken into; was stolen9. --- What do you think of your English teacher?--- He is a strict teacher, but ____ all his students show respect for.A. thatB. the oneC. whoD. one10. --- Where is your mother working?--- In a hospital ____ our town.A. is located inB. located inC. set inD. is set in11. ---How long will it take you to fix my watch?--- I’ll call you when it is ready, but it ____ take longer than a week.A. mustn’tB. can’tC. shouldn’tD. wouldn’t12. This morning Mr. Smith didn’t drive to work. ____, he rode his bicycle to his office as a wayof exercising.A. MeanwhileB. HoweverC. InsteadD. Anyway13. I haven’t read ____ of the articles carefully, but I find that there is a striking similarity betweenthem.A. eachB. eitherC. anyD. all14. It was in August of 2009 ____ the typhoon Morakot severely struck Taiwan, ____ hundreds ofpeople dead, missing and injured.A. which; causedB. when; causingC. that; causingD. what; caused15. As we all know, the Chinese Red Cross is one of the organizations, ____the purpose is to helpthe sick and the needy.A. of whichB. whoseC. whichD. of whose16. Susan’s score is the highest in her class. She ____ have studied very hard.A. mayB. shouldC. mustD. ought to17. ---Julia, please ask the guests to help ____ during the dinner.---Yes, I will.A. youB. yourselfC. themD. themselves18. The two top songs make the young fellow ____ from so many newcomers in the music world.A. stand forB. stand outC. stand byD. stand up19. China Daily is ____ a newspaper. It helps improve our English.A. no more thanB. indeedC. nothing butD. more than20. ---Hey, you are wanted on the phone.---____ I’m coming.A. So what?B. Hang on a minute.C. That’s a good idea.D. What a pity!二、完形填空（共20小题，计20分）通读下面短文，掌握其大意，然后在各题所给的四个选项(A、B、C和D)中选出一个最佳选项。
宁波市教育局关于做好2012年部分市属普高定向招生工作的通知
宁波市教育局关于做好2012年部分市属普高定向招生工作的通知文章属性•【制定机关】宁波市教育局•【公布日期】2012.04.01•【字号】甬教基[2012]116号•【施行日期】2012.04.01•【效力等级】地方规范性文件•【时效性】现行有效•【主题分类】高等教育正文宁波市教育局关于做好2012年部分市属普高定向招生工作的通知（甬教基〔2012〕116号）海曙、江东、江北区教育局，宁波国家高新区社会事务管理局，各直属学校（单位）：为全面推进素质教育，推动初中学校均衡发展，促进普通高中教育整体发展，选拔优秀学生，减轻学生课业负担，引导学生德智体全面发展，根据《关于做好2012年宁波市初中毕业生学业考试和高中段招生工作的通知》（甬教基〔2012〕81号）有关规定，经研究，现将2012年宁波市教育局部分直属普通高中定向招生工作的有关事项通知如下：一、部分直属公办普通高中定向招生事项部分直属公办普通高中实行学业考试前和后定向分配到校相结合的方式。
宁波中学、效实中学招生计划数的40%部分，宁波二中招生计划数的30%部分，实行学业考试前定向保送方式录取。
宁波中学、效实中学招生计划数的20%部分，宁波二中招生计划数的30%部分，宁波三中、宁波四中、李惠利中学、招生计划数的40%部分，惠贞书院、华茂外国语学校公办班招生计划数的30%部分，实行学业考试后定向录取。
慈湖中学面向江北部分初中学校定向招生也在学业考试后进行，招生名额控制在招生计划数的25%之内。
（一）学业考试前定向保送推荐招生1.定向保送生推荐范围市区（指海曙、江东、江北三区及宁波国家高新区，下同）所辖各初中（含民办学校）。
2.定向保送生推荐指标分配方式定向保送生以初中毕业生学业考试报名数（不含择校生、借考生、非浙江省籍考生）为依据，市教育局将定向招生名额分配到各区。
各区教育行政部门将90%左右名额平均分配到各初中学校，另10%左右名额根据初中学校规范办学行为及办学水平等情况统筹分配。
浙江省余姚中学中考英语自主招生模拟考试试卷二
2012年余姚中学自主招生模拟考试（二）英语试卷一.单项选择20%1. —It was careless of you to have left your clothes all over. —My God, ______.A. so did IB. so I didC. so were youD. so did you2. Although he lived ____ in a ____ mountain village, he didn’t feel ____ atall.A. alone; alone; lonelyB. alone; lonely; lonelyC. lonely; lonely; aloneD. lonely; alone; alone3. —Peter didn’t come to the meeting this morning.— I _______ him yesterday, but I was too busy and forgot it.A. should tellB. should have toldC. had to tellD. had told4. —How did it ______ that all the flowers died?—I had forgotten to water them.A. come aboutB. come backC. come onD. come down5. —Bob, how about going swimming this weekend?—Go swimming in this weather? _____.A. Not likelyB. Have a good tripC. OKD. I’m fond of that6. Mr. Smith is considering ______ a computer, which is considered ______ a greathelp in our work and study.A. to buy; to beB. buying; to beC. to buy; beingD. buying; being7. Every possible means _____ to work out the problem, but it is too difficultfor us.A. is usedB. are usedC. has been usedD. have been used8. She spent as much as time as she could _______ over the lessons.A. goB. to goC. goingD. went9. —Why didn’t Susan come to see us yesterday as she promised?—______.A. She must be busyB. She might have been freeC. She must have been busyD. She can’t be free10. She has two daughters , ____ are nurses.A. all of themB. both of themC. both of whomD. all of whom11. Tom, together with his two sisters， ________ .A. has seatedB. has been seatedC. have seatedD. have been seated12. The young scientist made another wonderful discovery,______ of greatimportance to study SARS.A. which I think isB. which I think it isC. I think which isD. I thinkis which13. —May I look at the menu for a little while? —Of course, ______, sir.A. don’t worryB. it doesn’t matterC. enjoy yourselfD. take your time14. I’m afraid ___ her the truth, because I’m afraid______ her.A. to tell; of hurtingB. to tell; to hurtC. of telling; to hurtD. of telling; of hurting15. I can never forget the days _____ we worked together and the days ______we spent happily together.A. for which; thatB. which; whenC. when; whichD. on which; when16. To go on business, I will have to stay ____ for some time, so I will ask someoneto ___.A. away; take my placeB. off; instead of meC. off; take the place of mineD. away; take place of me17. My father served in the army in _______ when he was in _____.A. 1950’s; twentiesB. the 1950s; his twentiesC. the 1950’s; the twentiesD. 1950’s; the twenties18. ------Would you mind my telling him the news? ----_________.A. Yes, pleaseB. Never mindC. It doesn’t matterD. No, go ahead19. It is the way ____ they walk ____ makes people laugh.A. how; thatB. that; thatC. in which; whichD. /; which20. —Is that 110? A thief is in my house…—Ok, help is ____.A. in the wayB. in its wayC. on the wayD. by the way二.完形填空20%One evening I was resting in a cafe. I 1 a pair of newly bought white leather shoes, which were rather expensive. Then a boy came to me.He was in a(n) 2 shirt, looking pale and about eleven. No sooner had I begun to speak than he opened the 3 in his hand and took out the tools of shoe-polishing. He 4 down, took off my leather shoes, and began to shine them.He was busy doing his work 5 heavy rain began to pour down. People rushed to the café for 6 from the rain. More and more people crowded 7 and gradually separated the boy from me.Hours passed, and it turned 8 . I had no shoes on my feet and 9 where the boy had been. I thought he would not 10 my shoes, and I would have to go home on my bare feet.When it was near midnight the 11 ended, and there were fewer and fewer people in the café. The café was to be 12 . I had to move to the door, head 13 . just as I went to the gate, I 14 found that a boy of about eleven, looking very familiar, was sleeping at the 15 with his head leaning against a box and his upper body being 16 . he held a package made of his shirt tightly in his arms.I shook him slightly and woke him up. He 17 up and rubbed his eyes for a while before he recognized me. Then he opened the package 18 , gave me my leather shoes, and apologized to me shyly. I 19 him and wrapped him with his unfit shirt, which had wrapped my leather shoes. On my way home, the 20 of the boy stayed in my mind.1. A. took B. wore C. mended D. owned2. A. old B. unfit C. small D. dirty3. A. bag B. package C. box D. suitcase4. A. seated B. bent C. put D.looked5. A. when B. after C. because D. since6. A. protection B. rest C. hide D. preparation7. A. out B. away C. in D. off8. A. dark B. light C. dim D. bright9. A. thought B. wondered C. guessed D. imagined10. A. shine B. keep C. return D. carry11. A. rain B. coffee C. time D. work12. A. opened B. locked C. stopped D. closed13. A. lowered B. dropped C. raised D. held14. A. shortly B. surprisedly C. sadly D. immediately15. A. table B. door C. bed D. cafe16. A. wet B. bare C. pale D. cold17. A. stayed B. sat C. jumped D. got18. A. finally B. suddenly C. unfriendly D. hurriedly19. A. recognized B. forgave C. paid D. inspired20. A. feature B. shirt C. image D. form三.阅读理解30%A (5%)Valencia is in the east part of Spain. It has a port on the sea， two miles away on the coast. It is the capital of a province that is also named Valencia. The city is a market centre for what is produced by the land around the city. Most of the city‘s money is made from farming. It is also a busy business city， with ships，railways， clothes and machine factories. Valencia has an old part with white buildings， coloured roofs， and narrow streets. The modern part has long， wide streets and new buildings. Valencia is well known for its parks and gardens. It has many old churches and museums. The university in the centre of the city was builtin the 13th century. The city of Valencia has been known since the 2nd century. In the 8th century it was the capital of Spain. There is also an important city in Venezuela（委内瑞拉） named Valencia.1.From the text， how many places have the name Valencia？A. oneB. twoC. threeD. four2. What is the main difference between the two parts of Valencia？A. The colour of the buildingB. The length of the streetsC. The age of the buildingsD. The colour of the roofs3. When was Valencia the most important city in Spain？A.2nd centuryB.8th centuryC.13th centuryD. 20the century4. What is Valencia famous for？A. Its seaportB. Its universityC. Its churches and museumsD. Its parks and gardens5. The main income of the city of Valencia is from its ______.A. marketsB. businessC. factoriesD. farmingB (5%)Plants are very important living things. Life could not go on if there were no plants. This is because plants can make food from air， water and sunlight. Animals and man cannot make food from air， water and sunlight. Animals get their food by eating plants and other animals. Therefore animals and man need plants in order to live. This is why we find that there are so many plants around us. If you look carefully at the plants around you， you will find that there are two kinds of plants： flowering plants and non-flowering plants. Flowering plants can make seeds. The seeds are protected by the fruits. Some fruits have one seed， some have two， three or four，and some have many seeds. But a few fruits have no seeds at all. An example of a fruit without seeds is the banana fruit. Most non-flowering plants do not grow from seeds. They grow from spores（胚芽）。
浙江省余姚市余姚中学高中自主招生考试 化学模拟试题
浙江省余姚市余姚中学高中自主招生考试化学模拟试题一、选择题1．如图所示图像中，能正确反映对应变化关系的是（）A B C D向饱和石灰水中加入一定量CaO一定温下，向不饱和硝酸钾溶液中加入硝酸钾固体一定质量的红磷在密闭容器内燃烧电解水生成氢气和氧气质量A．A B．B C．C D．D2．如图是A、B、C三种固体物质的溶解度曲线，下列分析正确的是（）A．20℃时等质量的A和C两种物质的溶液中溶质的质量相等B．50℃时把50gA放入100g水中能得到A的饱和溶液，其溶质质量分数为50%C．将50℃时A、B、C三种物质的饱和溶液都降温至20℃时，这三种溶液的溶质质量分数的大小关系是B＞A＝CD．将C的饱和溶液变为不饱和溶液，可采用降温的方法3．除去下列物质中所含杂质(括号内为杂质)，所选用试剂及操作方法均正确的一组是选项物质选用的试剂操作方法A CO2(HCl)NaOH溶液洗气B FeSO4溶液(CuSO4)Al粉加过量Al粉，过滤C KNO3溶液(KOH)CuSO4溶液过滤，蒸发结晶D CaCl2溶液（HCl）CaCO3加入过量的CaCO3，再过滤A．A B．B C．C D．D4．下列各组转化中，一定条件下均能一步实现的组合是A．①②B．①③C．②③D．①②③5．将等质量的镁和铁分别放入等质量、相同质量分数的稀盐酸中，产生氢气的质量与反应时间的关系如图所示，下列说法错误的是（）A．反应结束后镁一定有剩余B．反应消耗盐酸的总质量一定相等C．O—t1时段，产生氢气的质量镁比铁大D．O—t2时段，参加反应的镁的质量与铁相等6．归纳总结能使知识系统化，有利于提高素质和能力，下面是一同学对部分化学知识的归纳，其中都正确的一项是A．A B．B C．C D．D7．下列实验方案，不能．．达到实验目的的是选项实验方案实验目的A分别取气体样品，倒入澄清石灰水比较二氧化碳气体含量B分别取少量液体，各加入二氧化锰鉴别水和过氧化氢溶液C 取一个注射器，吸入一定体积氮气，堵住针筒小孔，将活塞慢慢推入证明分子间存在间隔D分别取样品，滴加足量稀盐酸鉴别碳酸钠溶液和水A．A B．B C．C D．D8．除去下列物质中的少量杂质，所选用的试剂及操作方法错误的是选项物质(括号内为杂质)试剂操作方法A CO（CO2）氧化铜将气体通入灼热的氧化铜B FeCl2 (CuCl2溶液)过量铁粉搅拌、过滤C CuO(炭粉)不用外来试剂在空气中灼烧D Cu粉（Fe粉）足量稀盐酸过滤、洗涤、干燥A．A B．B C．C D．D9．一包固体粉末可能含有NaNO3、CaCO3、NaOH、CuCl2、NaCI和Ca(NO3)2中的一种或几种.为确定其组成，某同学设计了如下实验方案.下列判断正确的是A．该混合物中一定含有CaCO3、NaOH、CuCl2、Ca(NO3)2B．蓝色溶液B的溶质有2种C．无色溶液A呈中性D．该混合物中一定含有NaCI可能含有NaNO310．下列图像能正确反映其对应操作中各量变化关系的是A．图①是给氯酸钾和二氧化锰的混合物加热B．图②是向一定温度下的饱和氢氧化钙溶液中不断加入氧化钙固体C．图③是向pH＝1的酸溶液中不断加水D．图④是向一定质量的稀硫酸中加入锌粒11．根据图2所示的溶解度曲线判断，下列说法正确的是（）A．甲物质的溶解度大于乙物质的溶解度B．甲物质的不饱和溶液温度升高后变成饱和溶液C．将t2℃甲、乙两物质的饱和溶液温度降低到t1℃时都会析出晶体D．t2℃时，甲物质的饱和溶液和乙物质的饱和溶液中含有相等质量的溶质12．一定质量的Mg、Al、Fe的混合物，与足量稀硫酸反应，生成0.4g的H2。
2012年余姚中学自主招生语文模拟试卷2
2012年余姚中学自主招生模拟考试（二）语文试卷一．阅读理解（39分）（一）阅读下文，完成第1—5题（10分）①柴可夫斯基好像一直生活在我的心里。
他已经成为我生命的一部分了。
②他之容易接受，是由于他的流畅的旋律与洋溢的感情和才华。
他的一些舞曲与小品是那样行云流水，纯洁明丽而又如醉如痴，多彩多姿。
比如《花的圆舞曲》，比如《天鹅湖》，家喻户晓，浑然天成。
它们令人愉悦、热爱生命。
他是一个赋予生命以优美的旋律与节奏的作曲家。
没有他，人生将减少多少色彩与快乐!③他的另一些更加令我倾倒的作品，则多了一层无奈的忧郁，美丽的痛苦，深邃的感叹。
他的伤感，多情，潇洒，无与伦比。
我总觉得他的沉重的叹息之中有一种特别的妩媚与舒展，这种风格像是——我只找到了——苏东坡。
他的乐曲——例如第六交响曲《悲怆》，开初使我想起李商隐，苍茫而又缠绵，绮丽而又幽深，温柔而又风流……再听下去，特别是第二乐章听下去，还是得回到苏轼那里去。
他能自解。
艺术就是永远的悲怆的解释，音乐就是无法摆脱的忧郁的摆脱。
对于一个绝对的艺术家来说，悲怆是一种深沉，更是一种极深沉的美。
而美是一种照耀着人生苦难的光明。
悲怆成全着美，美宣泄着却也抚慰着悲。
悲与美共生，悲与美冲撞，悲与美互补。
人生苦短，人生苦苦。
然而有美，有无法人为地寻找和制造的永恒的艺术普照人间。
于是软弱的人也感到了骄傲，至少是感到了安慰，感到了怡然。
这就是柴可夫斯基的第六交响曲的哲学。
④在他的D大调小提琴协奏曲中，既有同样的美丽的痛苦，又有一种才华的赤诚与迷醉，我觉得缔造着这样的音乐世界，呼吸着这样的乐曲，他也是满脸泪痕而又得意洋洋，烂漫天真而又矜持饱满。
他缔造的世界悲从中来而又圆满无缺。
你好像刚刚迎接到了黎明，重新看到了罪恶而又清爽、漫无边际而又栩栩如生的人世。
⑤这就是才华。
我坚信才华本身就是一种美，是一种酒，饮了它一切悲哀的体验都成就了诗的花朵，成就了美的云霞。
它是上苍给人类的，首先是给这个俄罗斯人的最珍贵的礼物。
浙江省余姚中学全国重点高中初升高自主招生化学模拟试题(含答案)
浙江省余姚中学全国重点高中初升高自主招生化学模拟试题(含答案)一、选择题1．向某硫酸和硫酸铜的混合溶液中加入某浓度的氢氧化钠溶液，产生沉淀的质量与加入氢氧化钠溶液的质量关系如图所示，下列说法正确的是（）A．加入氢氧化钠溶液的溶质质量分数为20%B．点溶液中含有两种溶质C．段发生的反应为中和反应D．混合溶液中硫酸和硫酸铜的质量比为1∶12．向一定质量的FeCl3溶液中滴加NaOH溶液一段时间后，改为滴加稀硫酸，所得沉淀质量随加入试剂总体积的变化趋势如图所示。
下列有关说法不正确的是（）A．b点时所加试剂一定是稀硫酸B．加入试剂总体积大于V1时，溶液中不存在NaOHC．c点时溶液中的溶质不止是盐D．a点时溶液中有可能存在Fe3+3．在硝酸银、硝酸铜的混合溶液中加入一定量锌粉，反应停止后过滤，滤液仍为蓝色，有关判断正确的是（）A．滤渣中一定有银、没有铜和锌B．滤渣中一定有银和锌，可能有铜C．滤液中一定有硝酸锌、硝酸铜、硝酸银D．滤液中一定有硝酸锌、硝酸铜，可能有硝酸银4．化学趣味小组在学习了金属的化学性质后，对金属R的活动性进行探究发现：将金属R 放入稀盐酸中，观察到有气泡产生（该反应的化学方程式可表示为：R+2HCl2=RCl2+H2↑），将R放入ZnSO4溶液中无任何变化。
下列化学方程式书写错误的是（）A．R+MgSO4=RSO4+Mg B．R+CuSO4=RSO4+CuC．R+H2SO4=RSO4+H2↑D．2A1+3RSO4=Al2（SO4）3+3R5．下表除去杂质的方法中，正确的是选项物质（括号内为杂质）除去杂质的方法A Cu(NO3)2溶液（AgNO3）加过量铜粉，过滤B KCl溶液（CaCl2）加适量Na2CO3溶液，过滤C Fe（Zn）加足量稀盐酸，过滤D CO（CO2）通过灼热的氧化铜粉末A．A B．B C．C D．D6．（2012年山东烟台，18题，2分）电影《黄金大劫案》上映后，里面用“王水”（浓盐酸与浓硝酸的混合液）溶解黄金的情引起了广泛的热议。
2浙江省余姚中学自主招生考试试卷
全真考试卷（二）浙江省余姚中学自主招生考试试卷数 学满分100分，考试时间100分钟一、选择题（每小题4分，共32分） 1．如果实数m ≠n ，且8181m n m n m n ++=++，则m ＋n ＝( ) A ．7 B ．8 C ．9 D ．10 2．生物学指出：生态系统中，每输入一个营养级的能量，大约只有10%的能量能够流动到下一个营养级，在H 1→H 2→H 3→H 4→H 5→H 6这条生物链中(Hn 表示第n 个营养级，n ＝1， 2，…，6)，要使H 6获得10千焦的能量，那么需要H 1提供的能量约为( )A ．104千焦B ．105千焦C ．106千焦D ．107千焦3．甲、乙、丙、丁四位同学参加校田径运动会4×100m 接力跑比赛，如果任意安排四位同学的跑步顺序，那么恰好由甲将接力棒交给乙的概率是 ( )A ．14B ．16C .18D ． 1124．如图是一个无盖正方体盒子的表面展开图，A ，B ，C 为图上三点，则在正方体盒子中，∠ABC 的度数为( )A . 150°B ．120°C ．90°D ．60°5．如图是某条公共汽车线路收支差额y 与乘客量x 的图象（收支差额＝车票收入一支出费用）．由于目前本条线路亏损，公司有关人员提出两条建议：建议(1)是不改变车票价格，减少支出费用；建议（2）是不改变支出费用，提高车票价格，下面给出四个图象（如图所示）则 ( )A ．①反映了建议(2)，③反映了建议(1)B ．①反映了建议(1)，③反映了建议(2)C ．②反映了建议(1)，④反映了建议(2)D ．④反映了建议(1)，②反映了建议(2)6．如图，在菱形ABCD 和菱形BEFG 中，点A ，B ，E 在同一直线上，P 是线段DF 的中点，连结PG ，PC ，若∠ABC ＝∠BEF ＝60°，则PGPC＝( )④③②①A B C D7．在高速公路上，从3 km 处开始，每隔4 km 经过一个限速标志牌，并且从10 km 处开始，每隔9 km 经过一个速度监控仪，刚好在19 km 处第一次同时经过这两种设施，那么，第二次同时 经过这两种设施是在( )千米处．A ．36B ．37C ．55D ．918．函数y ＝ax 2＋bx ＋c 图象的大致位置如图所示，则ab ，bc ，2a ＋b ，(a ＋c )2－b 2， (a ＋b )2–c 2，b 2–a 2等代数式的值中，正数有( )A ．2个B ．3个C ．4个D ．5个二、填空题（每小题4分，共24分）9．若Q (a －2011，41－49a)是第三象限内的点，且a 为整数，则a ＝ ． 10.若f (n )为n 2＋1（n 为正整数）的各位数字之和，如：62＋1＝37，则f (6)＝3＋7＝10. 记f l (n )＝ f (n )，f 2（n ）＝f (f 1(n )），f k ＋1（n ）＝f (f k (n )），k 为正整数，则f 2011(8)＝ ．11．如图，Rt △AOB 中，0为坐标原点，点B 在第四象限，么AOB ＝90°，∠B ＝30°，如果点A 在反比例函数y ＝1x（x ＞0）的图象上运动，那么点B 在函数 （填函数解析式）的图象上运动．12．已知函数y ＝x 2＋2ax ＋a 2－1在0≤x ≤3范围内有最大值24，最小值3，则实数a 的值为_______． 13．如图，△ABC 的面积为1．点D ，G ，E 和F 分别在边AB ，AC ，BC 上， BD ＜DA ，DG ∥BC ，DE ∥AC ，GF ∥AB .则梯形DEFG 面积的最大可能值为__________． 14．已知△ABC 中，∠A ，∠B ， ∠C 的对边分别为a ，b ，c ，若111tantantan222A CB +=，b ＝4，则a ＋c＝ ．三、解答题（共3小题，满分44分）15.（12分）为了解学生身高情况，某校以10%的比例对全校700名学生按性别进行分层抽样调查，测得身高情况的统计图如下：(l)估计该校男生的人数．(2)估计该校学生身高在170～185cm之间的概率．(3)从样本中身高在165～180cm之间的女生中任选2人，求至少有1人身高在170～180cm之间的概率．16.（16分）对于二次函数y＝ax2＋bx＋c，如果当x取任意整数时，函数值y都是整数，那么我们把该函数的图象叫做整点抛物线（例如：y＝x2＋2x＋2）．(1)请你写出一个二次项系数的绝对值小于1的整点抛物线的解析式（不必证明）(2)请探索：是否存在二次项系数的绝对值小于12的整点抛物线？若存在，请写出其中一条抛物线的解析式；若不存在，请说明理由．17. (16分)如图，在Rt△ABC中，∠C＝90°，BC＝2，AC＝x，点G、H在边BC上，点F在边AE 上，四边形EFGH是一个边长为y的正方形，且AE＝AC.(1)求y关于x的函数解析式．(2)当x为何值时，y取得最大值？并求出y的最大值．。
宁波市2012年中考中招政策出台
宁波市2012年中考中招政策出台宁波市2012年中考中招政策出台２０１２年宁波市高中段学校招生政策正式出台。
记者从宁波市教育局了解到，今年起，我市将取消公办普通高中“三限生”招生；初中毕业生升入高中段学校的比例将在９８％以上。
普通高中和中职学校招生计划按普职基本相当的原则，总体上以１：１比例录取。
今年宁波市中考时间定于６月１２日、１３日。
满分总分仍为６１０分。
与之前的中考中招政策相比，在招生、考试等环节上的一些变化值得关注。
招生变化取消公办普高“三限生”招生今年起，取消公办普通高中“三限生”招生。
学业考试对象为在甬就读受完九年义务教育的应届初中毕（结）业生。
需要注意的是，非本省户籍（港、澳、台学生除外）的学生原则上回原籍报考普通高中，但可报考我市的职业学校、技工学校。
自２０１４年起，未取得初中电子学籍的毕业生应回到原电子学籍所在地报考。
效实等高中招生六成定向今年，将改进市直属示范普通高中定向招生方法。
效实中学、宁波中学、宁波二中按招生计划数的６０％确定面向各初中定向招生名额，部分名额采用学业考试前保送测试录取，余下名额在统一的学业考试后定向招生录取。
宁波三中、宁波四中、李惠利中学，按招生计划数的４０％确定各初中定向招生名额，学业考试后定向招生录取。
普通高中班额原则上为４８人以内２０１２年全市要分类控制好普通高中学额，规定全市普通高中班额原则上为４８人以内。
基本符合省一级普通高中特色示范学校的申报条件，并打算在近两年申报的普通高中学校，班额应控制在４０人以内。
考试变化各学科难度系数更加明确今年将继续改革评价内容，增加试题的能力评价权重。
命题上，各学科考试范围原则上以初中毕业学年度的内容为主，有些学科适度涉及初中阶段其他年级的部分内容。
今年中考的难度系数有变化，按规定，今年各学科难度系数不小于０．７０，而去年的难度系数是０．７５左右，因此难度系数较去年更加明确。
同时，发挥考试的导向功能，避免命制死记硬背的试题，适当增加部分学科ＰＩＳＡ（国际学生评估项目的缩写）类试题的权重，强化对考生知识面、综合分析、创新素养方面的考查。
2012年余姚中学自主招生模拟考试(一)英语试卷
2012年余姚中学自主招生模拟考试（一）英语试卷I.单项选择(共20小题,计20分)（）1. --- Shall I give you a ride as you live so far away?--- Thank you. ____.A. It couldn’t be betterB. Of course you canC. if you likeD. it’s up to you （）2. __ on both sides of the street _ excited people who wanted to see the bride of their prince.A,. Standing; was B. Seated; was C. Waiting; were D. coming; were （）3. ---Can I help you?---- Yes.____ your teacher’s advice, in my opinion, and everything will be OK.A. FollowB. FollowingC. to followD. Followed（）4. He was told that it would be at least three more months__ he could recover and return to work.A. whenB. beforeC. sinceD. when（）5. This problem may lead to more serious ones if___ unsolved.A. makingB. leftC. remainedD. keeping（）6.Our city has changed a lot, and now it is quite different from __ a few years ago.A. what it used to beB. that it used to beC. which it used to beD. what was it （）7. First, it is important to recognize what kind of person you are and which special qualities make you different from ．A. everyone elseB. the otherC. someone elseD. another （）8. The school is giving most of these children hope for the future by providing them a chance to knowledge.A. requireB. acquireC. achieveD. enquire ( ) 9.一I’m surprised to hear that Sue and Paul have.一So am I. They seemed very happy together when I last saw them．A. broken upB. finished upC. divided upD. closed up ( ) 10. He did not regret saying what he did but felt that he it differently．A. could expressB. would expressC. could have expressedD. must have expressed( )11. Children need friends their own age to play ．A. Of; /B. in; withC. in；/D. of; with( )12. What makes this shop different is it offers more personal services．A. whatB. whichC. whyD. that( )13The English play my students acted the New Year's party was a great success．A. for which; atB. at which；inC. in which；atD. on which；through ( ) 14. That she hadn’t kept her ______ on her work resulted in the failure.A. headB. heartC. brainD. mind( ) 15. The thing that _______ is not whether you fail or not, but whether you try or not.A. mattersB. caresC. considersD. minds( ) 16. His aunt’s letters ________ him of those beautiful days when they used to live together in his hometown.A. call atB. call forC. call onD. call up( ) 17. Without the friction (摩擦力) between feet and the ground, people would ____ be able to walk.A. in no timeB. by all means C on any account D. in no way( ) 18. --- What are Simpson’s family like?--- ______.A. They’re all warm-hearted and thoughtfulB. Oh, it s a very big oneC. They all like sports and gamesD. His family is very similar to yours.( ) 19. ______ when we passed by its nest.A. Up into the blue sky did the bird flyB. Up into the blue sky flew the birdC. Up into the blue sky the bird flewD. Flew up into the blue sky the bird( ) 20. --- Sorry to interrupt you. Please go on.--- Where was I?--- You ___ you didn’t like your father’s job.A. had saidB. saidC. had been sayingD. were sayingII.完形填空(共15小题,计15分)Why did I come today? I wondered. My feet ached almost as much as my head. My Christmas 21 contained several people that claimed they needed nothing but I knew their feelings would be hurt 22 I bought them something, so gift buying was 23 but fun.Hurriedly, I finished shopping and 24 the long checkout lines. In front of me were a boy of about 5 and a younger girl. She carried a beautiful pair of 25 slippers. When we finally _ 26 the checkout register, the girl 27 placed the shoes on the counter. She treated them as though they were a 28.“That will be $ 6.09,” the cashier said. The boy searched his pockets. He finally came up with $ 3.12. “I guess we will have to put them back,” he bravely said. “We will com e back some other time, maybe tomorrow.” With that statement, a soft 29 broke from the little girl. “But 30 would have loved these shoes,” she cried.“Well, we’ll go home and work some more. Don’t cry. We’ll surely 31 ,” he said. Quickly I handed $ 3.00 to the cashier. These children had waited in line for a long time. And, 32 , it was Christmas. Suddenly a pair of arms came around me and a small voice gratefully said, “Thank you, lady.” “What did you 33 when you said Jesus would like the shoes?” I asked. The boy answered, “Our mommy is sick and going to heaven . Daddy said she might go before Christmas to be with Jesus.” The girl spoke, “My Sunday school teacher said the streets in heaven are shiny gold, just like these shoes. Won’t mommy be beautiful walking on those streets in these shoes?”My eyes flooded as I looked into her tear-stained face. “Yes,” I answered, “I am 34 she will.” Silently I thanked God for using these children to 35 me of the true spirit of giving I oncewas familiar with.（）21. A. plan B. list C. goods D. purchases （）22. A. unless B. because C. if D. since（）23. A. something B. nothing C. anything D. everything （）24. A. waited B. joined C. attended D. gathered （）25. A. cotton B. leather C. gold D. silver（）26. A. approached B. got C. checked D. found（）27. A. immediately B. hesitantly C. shyly D. carefully （）28. A. gift B. treasure C. life D. prize（）29. A. tear B. sob C. smile D. sigh（）30. A. mommy B. daddy C. we D. Jesus（）31. A. leave B. come C. return D. arrive（）32. A. above all B. at last C. at least D. after all （）33. A. request B. expect C. mean D. attempt （）34. A. sure B. afraid C. glad D. confident （）35. A. inform B. warn C. cure D. remind III.阅读理解(共四篇20小题,每小题2分,计40分)( A )On Nov.18th,1908,three men went up in a balloon.They started early in London. The headman was Augusta Gaudron, and the other two men were Tannar and Maitland. They had a big balloon and they were ready for a long way.Soon they heard the sea. They were carrying the usual rope ,and it was hanging down from the basket of the balloon. At the end of the rope they had tied a metal box. This could hold water, or it could be empty. So they were able to change its weight . It was for use over the sea. They were also carrying some bags of sand.After the sun rose, the balloon went higher. It went up to 3,000 metres, and the air was very cold. The water in the balloon became ice. Snow fell past the men's basket, and they could see more snow on the ground. The men tried to throw out some more sand; but it was hard. They tried to break the icy sand with their knives, but it was not easy. The work was slow and they were still falling, so they had to drop some whole bags of sand. One of them fell on an icy lake and made a black hole in the ice.At last they pulled the box into the basket. It was still snowing; so they climbed to get away from the snow. They rose to 5,100 metres ! Everything became icy. They were so cold that they decided to land. They came down in Poland heavily but safely. They had traveled 1,797 kilometers from London!（）36. Three men flew in balloon ________.A. for nearly 1,800 kilometersB. to another cityC. to visit PolandD. less than a century ago（）37. The metal box was used for ________.A. carrying the bags of sandB. keeping drinking-waterC. carrying ropes of the basketD. changing weight（）38. When the balloon went up higher, ________.A. the temperature of the balloon began to fallB. They saw the sun go downC. They made a hole in the basket with their knivesD. They could see a black hole on the ground（）39. The balloon landed ________.A. in LondonB. on the seaC. on a lakeD. in a foreign country（）40. Which of the following is NOT true?________A. The three men started their journey before the sun rose.B. The balloon began to go up when they threw bags of sand out of the basket.C. When they pulled the box into the basket, the balloon began to climb up.D. The three men had to land because they felt cold.（B）When you’re curious(好奇的) about something, and want to know more about it, you can use the way of asking questions. Asking questions is the first step to make discoveries and find interesting answers. The steps below can guide you during the research.Step1 On a notecard or piece of paper, write down the subject that you are interested in. Just get the main idea down. For example, you might write: Discover more about dinosaurs.Step2 Next, stop and think for a moment about what you already know abut your subject. List what you already know like the sentences below:(1)Dinosaurs lived long before human beings appeared.(2)Dinosaurs lived on the earth for more than 150 million years.(3)Some dinosaurs fed on(吃) plants, some on meat.Step3 What can you do with what you want to learn? By asking questions. On your paper, start writing down questions about the dinosaurs as you think of them:(1)What’s the best weather for dinosaurs to live in?(2)How many kinds of dinosaurs are there?(3)Have dinosaurs really disappeared?Step4 Armed with your list of questions, you can now go to the nearest library or computer to begin your research. As you learn more about your subject, you’ll probably discover some new questions. For example, you might discover that dinosaurs disappeared about 65 million years ago. Why? What happened? Asking new questions can help you research your subject more widely.If you always find something interesting to research, take time to organize(组织) your thinking by asking good questions. And remember learning more always brings more questions.（）41. When you do some research, you should take the following steps:(1)list what you want to know (2) choose a research subject(3)list what you already know (4) discover new problemsA. (4)(3)(2)(1)B. (1)(4)(3)(2)C.(2)(3)(1)(4)D.(3)(2)(4)(1)（）42. From the passage, we know .A. dinosaurs appeared after human beingsB. not all the dinosaurs fed on meatC. dinosaurs lived on the earth for 65 million yearsD. dinosaurs lived warm season（）43. What does “Armed with your list of questions” mean?A. Putting your list of questions under your armB. Discussing your questions with your classmatesC. Writing down your list of questionsD. Taking your list of questions with you（）44. According to the passage, which one is true?A. You can find all the answers online(网络上)B. Learn more, and you’ll have no questionsC. Asking questions is the only way for researchD. During the research, you may keep finding new questions（）45. The best title(标题) for this passage is “ ”A. Discovering DinosaursB. Asking Good QuestionsC. Finding SubjectsD. Learning Steps(C)If you’re a male and you’re reading this, congratulations! You’re a survivor. According to s tatistics, you’re more than twice as likely to die of skin cancer than a woman, a nine times more likely to die of AIDS. Assuming you make it to the end of your natural term, about 78 years for men in Australia, you’ll die on average five years before a wo man.There’re many reasons for this——typically, men take more risks than women and are more likely to drink and smoke——but perhaps more importantly, men don’t go to the doctor.“Men aren’t seeing doctors as often as they should,” says Dr. Gullotta. “This i s particularly so for the over-40s, when diseases tend to strike.Gullotta says a healthy man should visit the doctor every year or two. For those over 45, it should be at least once a year.“When I finally saw him it had already spread and he has since died from lung cancer,” he says, “Earlier detection and treatment may not have cured him, but it would have prolonged his life.”According to a recent survey, 95% of women aged between 15 and early 40s see a doctor once a year, compared to 70% of men in the same age group.“A lot of men think they’re invincible,” Gullotta says. “They only come in when a friend drops dead on the golf course and they think, “Geez, if it could happen to him…”Then there’s the ostrich approach. “Some men are scared of what might be there and would rather not know,” says Dr. Ross Cartmill.“Most men get their cars serviced more regularly than they service their bodies,” Cartmill says. He believes most diseases that commonly affect men could be addressed by preventive check-ups.Regular check-ups for men would inevitably place strain on the public purse, Cartmill says. “But prevention is cheaper in the long run than having to treat the diseases. Besides, the ultimate cost is far greater, it’s called premature death.”( )46. Why does the author congratulate his male readers at the beginning of the passage?A) They are more likely to survive serious diseases today.B) Their average life span has been considerably extended.C) They have lived long enough to read this article.D) They are sure to enjoy a longer and happier life.( )47. Which of the author’s statement is the most important reason men die five years earlier on average than women according to the passage?A) Men drink and smoke much more than women.B) Men don’t seek medical care as often as women.C) Men aren’t as cautious as women in face of danger.D) Men are more likely to suffer from fatal diseases.( )48. Which of the following best completes the sentence “Geez, if it could happen to him…”?A) it could happen to me, too. B) I should consider myself lucky.C) I should avoid playing golf. D) it would be a big misfortune.( ) 49. What does Dr. Ross Cartmill mean by “the ostrich approach” ?A) A casual attitude towards one’s health conditio ns.B) A new therapy for certain psychological problems.C) Refusal to get medical treatment for fear of the pain involved.D) Unwillingness to find out about one’s disease because of fear.( ) 50. What does Cartmill say about regular check-ups for men?A) They may increase public expenses.B) They will save money in the long run.C) They may cause psychological strains on men.D) They will enable men to live as long as women.DImagine a world in which there was suddenly no emotion-a world in which human beings could feel no love or happiness. no terror or hate. Try to imagine the consequences of such a transformation. People might not be able to stay alive; knowing neither joy nor pleasure. anxiety nor fear, they would be as likely to repeat acts that hurt them as acts that were beneficial. They could not learn; they could not benefit from experience because this emotionless world would lack rewards and punishments. Society would soon disappear; people would be as likely to harm one another as to provide help and support. Human relationships would not exist; in a world without friends or enemies, there could be no marriage, affection among companions．or bonds among members of groups. Society’s economic underpin nings(支柱)would be destroyed; since earning $10 million would be no more pleasant than earning$10. here would be no motivation to work. In fact, there would be no motivations of any kind．For as we will see, motivations imply a capacity to enjoy them．In such a world, the chances that the human species would survive are next to zero．because emotions are the basic instrument of our survival and adaptation．Emotions structure the world for us in important ways. As individuals, we categorize objects on the basis of our emotions. True，we consider the length, shape, size. or texture. but an object’s physical aspects are less important than what it has done or can do to us-hurt us, surprise us, anger us or make us joyful. We also use categorizations colored by emotions in our families，communities, and overall society．Out of ouremotional experiences with objects and events comes a social feeling of agreement that certain things and actions are “good”，and others are “bad”, and we apply these categories to every aspect of our social life-from what foods we eat and what clothes we wear to how we keep promises and which people our group will accept. In fact, society exploits our emotional reactions and attitudes. such as loyalty, morality, pride, shame, guilt, fear and greed, in order to maintain itself. It gives high rewards to individuals who perform important tasks such as surgery, makes heroes out of individuals for unusual or dangerous achievements such as flying fighter planes in a war, and uses the legal and penal(刑法的)system to make people afraid to engage in antisocial acts．（）51 The reason why people might not be able to stay alive in a world without emotion is that .A. they would not be able to tell the texture of objectsB. they would not know what was beneficial and what was harmfulC. they would not be happy with a life without loveD. they would do things that hurt each other’s feelings（）52. According to the passage, people’s learning activities are possible because they ．A. believe that emotions are most important for them to stay aliveB. benefit from providing help and support to one anotherC. enjoy being rewarded for doing the right thingD. know what is important to the progress of society（）53. It can be inferred from the passage that the economic foundation of society depends onA. The ability to make moneyB. the will to work for pleasureC. the capacity to enjoy motivationsD. the categorizations of our emotional experiences（）54 Emotions are significant f or man’s survival and adaptation because．A. they provide the means by which people view the size or shape of objectsB. they are the basis for the social feeling of agreement by which society is maintainedC. they encourage people to perform dangerous achievementsD. they generate more love than hate among people（）55.The emotional aspects of an object are more important than its physical aspects because they ．A. help society exploit its members for profitB. encourage us to perform important tasksC. help to perfect the legal and penal systemD. help us adapt our behavior to the world surrounding usIV. 单词填空(共10小题,计10分)56.In America there are many volunteers who are w______ to help people in trouble at weekend.57. --- Thank you for your help. I really a _________ it.--- It’s my pleasure.58. Do you want a large, r_______ or small coke to go with your hamburger?59. Sir, the total price is$26.74，i________ tax．60. You should judge by yourself. Don’t let me i____________ your de cision.61. The father said to the son, “It gave me much ________（快乐）to hear of your achievements.”62. Our difficulties are ___________,（增加）but we’re confident of success.63. If everyone makes a contribution to protecting our __________,（环境）our world will becomemuch more beautiful.64. Can you __________(可能) lend me 10 pounds?65. It was Madame Curie who __________(发现) the element radium(镭元素).V.句子翻译(15分)66. 常言到：“有志者，事竟成。
浙江省余姚市余姚中学高中自主招生考试 物理模拟试题
浙江省余姚市余姚中学高中自主招生考试物理模拟试题一、选择题1．如图所示，甲、乙两个容器中分别盛有不同的液体，液面的高度相同，且液体对两容器底部的压力也相同。
若把两个质量相同的小球A和B分别放入甲、乙两个容器中（小球的体积均小于容器中液体的体积，且液体都不溢出），小球都静止后，液体对两容器底部的压强相等，则小球B在液体中静止时的状态是（）A．漂浮B．悬浮C．沉底D．无法判围2．小明在探究“平面镜成像”和“凸透镜成像”两个实验中，分别把一个不透明的木板放在如图甲、乙所示的位置，以下说法错误的是（）A．甲图中，蜡烛能成像且人能看到像B．乙图中，蜡烛能成像且人能看到像C．甲图中，取走木板，将蜡烛远离平面镜，镜中的像变大D．乙图中，取走木板，蜡烛靠近凸透镜，所成的像变小3．电动平衡车是一种时尚代步工具．如图所示，当人驾驶平衡车在水平路面上匀速直线运动时，下列说法正确的是A．平衡车受到的重力与地面对它的支持力是一对平衡力B．平衡车对地面的压力与地面对它的支持力是相互作用力C．关闭电机，平衡车仍继续前进是由于其受到惯性作用D．若平衡车在运动过程中所受的力全部消失，平衡车会慢慢停下来4．如图所示，电源电压保持不变，闭合开关S，将滑动变阻滑片P向右移动，下列说法中正确的是（）A．电路消耗的总电功率变大B．电压表与电流表的示数之比变小C．电流表的示数变大，电压表的示数变小D．电流表的示数变小，电压表的示数不变5．如图所示，装有水的容器静止放在水平桌面上，正方体物块M悬浮在水中，其上表面与水面平行，则下列说法中正确的是A．M上、下表面受到水压力的合力大于M受到的浮力B．M上、下表面受到水压力的合力大小等于M受到的重力大小C．M上表面受到水的压力大于M下表面受到水的压力D．M上表面受到水的压力和M下表面受到水的压力是一对平衡力6．如图是某品牌榨汁机．为保障安全，该榨汁机设置了双重开关——电源开关S1和安全开关S2．当杯体倒扣在主机上时， S2自动闭合，此时再闭合S1，电动机才能启动，开始榨汁．下列电路图符合上述要求的是A．B．C．D．7．如图所示，将一个条形磁铁置于水平桌面上，电磁铁左端固定在竖直墙壁上并保持水平。
2012年余姚中学自主招生中考英语模拟试卷及答案(3)
姓名学号考号— — — ——— ———————密———————————封————————— —线— — — — — — ——————英语答题卷 题 号 一 二 三 四 五 总分 得 分卷 I 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 ［A ］［A ］［A ］［A ］［A ］ ［A ］［A ］［A ］［A ］［A ］ ［A ］［A ］［A ］［A ］［A ］ ［B ］［B ］［B ］［ B ］［B ］ ［B ］［B ］［B ］［B ］［B ］ ［B ］［B ］［B ］［ B ］［B ］ ［C ］［C ］［C ］［C ］［C ］ ［C ］［C ］［C ］［C ］［C ］ ［C ］［C ］［C ］［C ］［C ］ ［D ］［D ］［D ］［D ］［D ］ ［D ］［D ］［D ］［D ］［D ］ ［D ］［D ］［D ］［D ］［D ］ 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 ［A ］［A ］［A ］［A ］［A ］ ［A ］［A ］［A ］［A ］［A ］ ［A ］［A ］［A ］［A ］［A ］ ［B ］［B ］［B ］［ B ］［B ］ ［B ］［B ］［B ］［B ］［B ］ ［B ］［B ］［B ］［ B ］［B ］ ［C ］［C ］［C ］［C ］［C ］ ［C ］［C ］［C ］［C ］［C ］ ［C ］［C ］［C ］［C ］［C ］ ［D ］［D ］［D ］［D ］［D ］ ［D ］［D ］［D ］［D ］［D ］ ［D ］［D ］［D ］［D ］［D ］ 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 ［A ］［A ］［A ］［A ］［A ］ ［A ］［A ］［A ］［A ］［A ］ ［A ］［A ］［A ］［A ］［A ］ ［B ］［B ］［B ］［ B ］［B ］ ［B ］［B ］［B ］［B ］［B ］ ［B ］［B ］［B ］［ B ］［B ］ ［C ］［C ］［C ］［C ］［C ］ ［C ］［C ］［C ］［C ］［C ］ ［C ］［C ］［C ］［C ］［C ］［D ］［D ］［D ］［D ］［D ］ ［D ］［D ］［D ］［D ］［D ］ ［D ］［D ］［D ］［D］［D］46 47 48 49 50 51 52 53 54 55 56 57 58 5960［A］［A］［A］［A］［A］［A］［A］［A］［A］［A］［A］［A］［A］［A］［A］［B］［B］［B］［B］［B］［B］［B］［B］［B］［B］［B］［B］［B］［B］［B］［C］［C］［C］［C］［C］［C］［C］［C］［C］［C］［C］［C］［C］［C］［C］［D］［D］［D］［D］［D］［D］［D］［D］［D］［D］［D］［D］［D］［D］［D］［E］［E］［E］［E］［E］请在各题目的作答区域内作答，超出黑色矩形边框限定区域的答案无效卷II (共二大题，满分20分)座位号四．短文改错（共1篇，10错误；满分10分）假如英语课上老师要求同学们交换修改作文，请你修改你同桌写的以下作文。