2018-亚太杯初赛试题-推荐word版 (3页)

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2018年大学生英语竞赛（NECCS）B类初赛真题试卷一及详细答案（精品）

2018年大学生英语竞赛（NECCS）B类初赛真题试卷一及详细答案（精品）2018年大学生英语竞赛（NECCS）B类初赛真题试卷及详细答案（精品）目录2018年大学生英语竞赛（NECCS）B类初赛真题试卷（精品） (1) 2018年大学生英语竞赛（NECCS）B类初赛真题试卷详细答案(23)2018年大学生英语竞赛（NECCS）B类初赛真题试卷(总分162, 做题时间90分钟)Part Ⅰ Multiple ChoiceSection A1. Some people argue that the solution______the drug problem is education, and while I accept that education has______part to play, I don't agree that it provides the whole answer.A to: aB for: aC to: theD for: the2. Generally, British independent schools provide a broader curriculum than ______ required by law.A itB thatC whichD what3. They felt such heat in the jungle______they had never felt before in other places in their life.A asB howC whenD where4. The US government has the right to regulate______to animals—cock fighting, bear and bull baiting, and dog fighting were all outlawed in the 19th century.A cruelB cruellyC crueltyD cruelties5. South Korea's largest mobile phone operator is to offer users a new service that it says will repel mosquitoes and subscribers can download a sound wave that is______to human ears but annoys mosquitoes within a range of about a metre.A audibilityB inaudibilityC audibleD inaudible6. President Xi Jinping will today become the first Chinese leader to______the annual World Economic Forum in the Swiss resort of Davos.A lectureB reportC presentD address7. DINK is an______for couples with dual income and no children and thus DINKs always have more disposable income than the average family.A aphorismB acronymC analogyD analogue8. A three-year search for the missing Malaysia Airline's flight MH370 has been called off, ______one of the great aviation______mysteries.A left: unsolvedB leaving: solvedC left: solvedD leaving: unsolved9. The objectives of the Pearl Harbor Incident were the total destruction of the Axis powers and the establishment of a world order after unconditional victory______American ideals and interest.A in accord withB linking withC connected withD approximate to10. Researchers say pizza-eaters are less______certain cancers according to a study showing that those who ate at least one pizza a week were 59% less likely tocontract cancer of the oesophagus, and they______tomato sauce.A open to: believeB prone to: creditC infected with: relyD concerned about: depend11. In the late 15th century, Christopher Columbus, an Italian navigator, sailed across the vast ocean and reached some small islands in the West Indies, but he thought he______Asia and didn't know he______a new continent.A reached: discoveredB reached: had discoveredC had reached: discoveredD had reached: had discovered12. I'm sorry but you need find another parking space, because if any vehicle ______on these premises, it shall be towed away.A is found parkingB be found parkedC will be found to be parkedD had been found parking13. —I can't open this email attachment our Paris office has sent me.—Are you sure you're using the right program?—Well, yes, it's definitely the same program but I might have the wrong version. Their system is newer than ours.—That's why you can't open it. ______A You'd better change a program and try it again.B Why not just print it and read it on paper?C You'll have to upgrade before you can read the file.D We really need replace our computers with new ones.14. —We've managed to reduce the energy consumption in our factory by about 15 percent in the last two years.—That's excellent. How have you managed that?—Mainly because we've invested in a heat recovery system. We use the exhaust gases from our printing presses to provide energy to heat our dryers.—______—Most of our power comes from hydro-electric plants. We're hoping to use even more energy from alternative sources in the future—perhaps even wind power.A What other sources of energy do you use?B Why don't you use fossil fuels?C What does that mean exactly?D How do you do that?15. —Good evening, Mrs. Adams. I'm sorry to barge in on you like this but I'd like a word with you about your son, Brian. —______We've only just sat down to dinner.—I can't help that. I'm afraid it's something I've got to get off my chest. I've weighed up all the pros and cons and decided that I have to have it out with you.—Oh, all right. I suppose you'd better come in.A Please come in and join us.B Well, it's a bit inconvenient.C Long time no see.D That's none of your business!Part ⅡClozeThe Troodos area of Cyprus is only an hour's drive from the coast, so why not consider a day trip up into the mountains as a refreshing change from the beach? It will also be a wonderful 【C1】op______to get away from the traffic and noise of the city and to breathe in some clean, pine-scented air while enjoying stunning views. There are many important churches and monasteries in the mountains, including nine Byzantine painted churches, which are UNESCO World【C2】Her______listed sites. The best-known monastery is the Monastery of Kykko, home to a very important icon, reputedly painted by Saint Luke. The tomb of Archbishop Makarios III, the first president of Cyprus, is nearby, looking towards the village of Panayia,【C3】______he was born.The rustic charm of the mountain villages must be experienced and, if you go at the right time of the year, you will be able to buy cherries, plums, apples, grapes and pears, which are all at their【C4】______ (fresh)and best in the mountains. Each mountain village has its own special charm: perhaps you will tryto fit in a number of these, and save others for your next visit. The village of Agros is famous for its aromatic rosewater, an important【C5】ing______in the mouth-watering local cuisine. Kakopetria, at the head of the Solea valley, is well known for its excellent restaurants and beautifully【C6】______ (renovate)village houses. Lania is known as the village of artists, while Platres is a hillside resort with a friendly atmosphere, and numerous hotels and shops. Nearby are the perennial Caledonian Falls, Phoini, a village 4 km west of Platres, is famous for its pottery and trout farm. If you are near the magnificent Cedar valley, you might also catch【C7】______glimpse of the Cyprus moufflon, the wild sheep which is endemic to Cyprus and whose male is characterized by large, sickle-shaped horns. The moufflon is an inhabitant of the【C8】。

2018年全国高中化学竞赛(初赛)模拟考试1(word含答案)

2018年全国高中化学竞赛(初赛)模拟考试1(word含答案)高中化学竞赛初赛模拟试卷（01）（时间：3小时满分：100分）题号1 2 3 4 5 6 7 8 9 10 11 12满分6 12 9 678 10 10 69 5 12H 1.008 相对原子质量He4.003Li 6.941Be9.012B10.81C12.01N14.01O16.00F19.00Ne20.18Na 22.99Mg24.31Al26.98Si28.09P30.97S32.07Cl35.45Ar39.95K 39.10Ca40.08Sc44.96Ti47.88V50.94Cr52.00Mn54.94Fe55.85Co58.93Ni58.69Cu63.55Zn65.39Ga69.72Ge72.61As74.92Se78.96Br79.90Kr83.80Rb 85.47Sr87.62Y88.91Zr91.22Nb92.91Mo95.94Tc[98]Ru101.1Rh102.9Pd106.4Ag107.9Cd112.4In114.8Sn118.7Sb121.8Te127.6I126.9Xe131.3Cs 132.9Ba137.3La－LuHf178.5Ta180.9W183.8Re186.2Os190.2Ir192.2Pt195.1Au197.0Hg200.6Tl204.4Pb207.2Bi209.0Po[210]At[210]Rn[222]Fr [223]Ra[226]Ac－LaRf Db Sg Bh Hs Mt DsLa系La138.9Ce140.1Pr140.9Nd144.2Pm144.9Sm150.4Eu152.0Gd157.3Tb158.9Dy162.5Ho164.9Er167.3Tm168.9Tb173.0Lu175.0 第一题（6分）锦上添花：（根据已有内容的规律进行增补）1．填分子式：（1）①C2H6②C8H18③________ ④C80H162（2）①________ ②MgO ③SO3④CuSO4２（3）①Fe2O3②③Na2O2④FeSO4·7H2O ⑤CuSO4·5H2O ⑥2．填化学方程式：①2Na＋2H2O＝2NaOH＋H2↑②2C＋SiO2＝Si＋CO↑③2H2S＋O2＝2S＋2H2O ④____________________________。

2018年安徽数学竞赛(初赛)试题及答案word版

2018全国高中数学联赛安徽省初赛试卷（考试时间：2018年6月30日上午9:00—11:30）题号一二总分9 10 11 12 得分评卷人复核人注意： 1．本试卷共12小题，满分150分； 2．请用钢笔、签字笔或圆珠笔作答；3．书写不要超过装订线； 4．不得使用计算器．一、填空题（每题8分，共64分，结果须化简）1. 设三个复数l,i,z 在复平面上对应的三点共线，且|z |=5，则z =____．2. 设n 是正整数，且满足n 5=438427732293，则n =____．3. 函数f (x )=|sin(2x)+sin(3x )+sin(4x )|的最小正周期=____．4. 设点P ,Q 分别在函数y =2x 和y =log 2x 的图象上，则|PQ |的最小值=____．5. 从l,2,…,10中随机抽取三个各不相同的数字，其样本方差s 2≤l 的概率=____6. 在边长为1的正方体ABCD -A 1B 1C 1D 1内部有一小球，该小球与正方体的对角线段AC 1相切，则小球半径的最大值=____．7. 设H 是△ABC 的垂心，且3HA +4HB +5HC =0，则cos ∠AHB =____．8. 把l,2,…,n 2按照顺时针螺旋方式排成n 行n 列的表格T n ，第一行是l,2,…,n. 例如：T 3=.设2018在T 100的第i 行第j 列，则(i ,j )= ．二、解答题（第9—10题每题21分，第11—12题每题22分，共86分）9. 如图所示，设ABCD 是矩形，点E ,F 分别是线段AD ,BC 的中点，点G 在线段EF 上，点D ,H 关于线段AG 的垂直平分线l 对称．求证：∠HAB =3∠GAB ．A BCD E FG H l10.设O是坐标原点，双曲线C：22221x ya b上动点M处的切线交C的两条渐近线于A,B两点：(1)求证：△AOB的面积S是定值.(2)求△AOB的外心P的轨迹方程。

2018年全国初中数学竞赛(初一组)初赛试题参考答案

第1页（共1页）一、1.A 2.C 3.B 4.D 5.B 6.D二、7.-18.30°9.3或-110.221三、11.（1）19×11=12×æèöø19-111；………………………………………………………………………………5分（2）1()2n -1()2n +1；12×æèöø12n -1-12n +1；…………………………………………………………………………………………………………10分（3）a 1+a 2+a 3+…+a 100=12×æèöø1-13+12×æèöø13-15+12×æèöø15-17+12×æèöø17-19+⋯+12×æèöø1199-1201=12×æèöø1-13+13-15+15-17+17-19+⋯+1199-1201……………………………………………15分=12×æèöø1-1201=12×200201=100201.…………………………………………………………………………………………………20分四、12.（1）130°.…………………………………………………………………………………………………5分（2）∠APC =∠α+∠β.理由：过点P 作PE ∥AB ，交AC 于点E .……………………………………………………………10分因为AB ∥CD ，所以AB ∥PE ∥CD .所以∠α=∠APE ，∠β=∠CPE .所以∠APC =∠APE +∠CPE =∠α+∠β.…………………………………………………………15分（3）当点P 在BD 延长线上时，∠APC =∠α-∠β；……………………………………………………20分当点P 在DB 延长线上时，∠APC =∠β-∠α.……………………………………………………25分五、13.（1）根据题意，得t =æèöø120-12050×550+5×2+12050≈6.3()h .答：三人都到达B 地所需时间约为6.3h.………………………………………………………………5分（2）有，设甲从A 地出发将乙载到点D 行驶x 千米，放下乙后骑摩托车返回，此时丙已经从A 地出发步行至点E ，继续前行后与甲在点F 处相遇，甲骑摩托车带丙径直驶向B,恰好与乙同时到达.…………………………………………………………………………………………………………10分根据题意，得2∙x -x 50∙550+5+120-x 50=120-x 5.…………………………………………………………15分解得x ≈101.5.…………………………………………………………………………………………20分则所用总时间为t =101.550+120-101.55≈5.7()h .答：有，方案如下:甲从A 地出发载乙，同时丙步行前往B 地，甲载乙行驶101.5千米后放下乙，乙步行前往B 地，并甲骑摩托车返回，与一直步行的丙相遇.随后甲骑摩托车载丙径直驶向B 地，恰好与步行的乙同时到达，所需时间为5.7h.………………………………………………………………………25分。

2018年全国高中化学竞赛(安徽赛区)初赛试题(含答案)

２０１８年中国化学奥林匹克竞赛（安徽赛区）初赛试题参考答案及评分标准一、本题包括１５小题，每小題２分，共３０分。

每小题仅有１个选项符合题意。

题　号１２３４５６７８９１０１１１２１３１４１５答　案ＣＢＢＣＡＢＡＡＢＤＤＤＡＣＡ二、本题包括１０小题，每小題２分，共２０分。

每小题有１个或２个选项符合题意。

若该题只有１个选项符合题意，多选或错选均不得分。

若该题有２个选项符合题意，选对１个得１分，选对２个得２分；选错１个，该题不得分。

题　号１６１７１８１９２０２１２２２３２４２５答　案ＡＤＡＣＣＤＡＤＤＡＣＤＢＣＢＣＢＤ三、本题包括３小题，共２６分。

２６（１０分，每题２分，正确的化学方程式或离子方程式均可，未写箭头不扣分）（１）３ＨｇＳ＋２ＮＯ－３＋１２Ｃｌ－＋８Ｈ＋→３［ＨｇＣｌ４］２－＋３Ｓ↓＋２ＮＯ↑＋４Ｈ２Ｏ（２）３ＢｉＯ－３＋２Ｃｒ３＋＋４Ｈ＋→３Ｂｉ３＋＋Ｃｒ２Ｏ２－７＋２Ｈ２Ｏ（３）１０ＨＣｌＯ３＋３Ｐ４＋１８Ｈ２Ｏ→１０Ｃｌ－＋１２Ｈ３ＰＯ４＋１０Ｈ＋（４）Ｎ２Ｈ４＋４ＡｇＮＯ３→Ｎ２＋４Ａｇ↓＋４ＨＮＯ３（５）［Ａｇ（Ｓ２Ｏ３）２］３－＋８Ｃｌ２＋１０Ｈ２Ｏ→ＡｇＣｌ↓＋４ＳＯ２－４＋１５Ｃｌ－＋２０Ｈ＋２７（共８分）（１）（４分）还原产物分别为ＶＯ２＋和Ｖ３＋　２分反应方程式：ＶＯ＋２＋Ｆｅ２＋＋２Ｈ＋→ＶＯ２＋＋Ｆｅ３＋＋Ｈ２Ｏ　１分ＶＯ＋２＋Ｓｎ２＋＋４Ｈ＋→Ｖ３＋＋Ｓｎ４＋＋２Ｈ２Ｏ　１分（２）（４分）不能稳定存在。

φ○—（Ｐ４／ＰＨ３）＝（４×（－１１８）－１×（－１８２））／３＝－０９７（Ｖ）　２分由φ○—（Ｐ４／ＰＨ３）＞φ○—（Ｈ２ＰＯ－２／Ｐ４），发生歧化反应，Ｐ４不能稳定存在。

　２分２８（８分，大小各１分，解释各３分）（１）熔沸点：ＣＨ３ＣＨ２ＯＨ＞ＣＨ３ＯＣＨ３。

两种化合物为同分异构体，而ＣＨ３ＣＨ２ＯＨ中存在分子间氢键，ＣＨ３ＯＣＨ３无氢键，因此ＣＨ３ＣＨ２ＯＨ熔沸点高。

亚太杯部分真题详解

用数字0、1、2组成的小于2000的四位数中，有多少个7的倍数。

【解析】方法一：根据被7整除的数的判断方法，末三位减去第一位应该是7的倍数，设四位数为abcd ，所以7|bcd a -，经计算不难得到共有4个：1001、1022、 1120、1211。

方法二：用数字0、1、2，所以我们想到用三进制，我们来证明310()()(mod 7)abcd abcd ≡ ，显然323210()101010(107)(107)(107)abcd a b c d a b c d =⨯+⨯+⨯+≡⨯-+⨯-+⨯-+323333()(mod 7)a b c d abcd =⨯+⨯+⨯+= ，那也就是说一个十进制数10()abcd 能被7整除，那么三进制数3()abcd 也能被7整除。

而在10002000-中，因为3(1000)27=，而3(2000)54=，而在2754-中能被7整除的数有28、35、42、49共4个。

所以共有4个7的倍数。

如图，在四边形ABCD 中，DA DB DC ==,A 、C 两点分别在直线BD 两侧。

0180DAB BDC ∠+∠=，AB CD BC +=，则DBC ∠ 度。

【解析】旋转三角形ABD ，使A 与D 重合，D 与B 重合，由于DB DC =，所以DBC DCB ∠=∠，又B E B D =，所以2BED BDE DBC ∠=∠=∠，又C E D E D C B A C D =+=+=，所以2EBC BEC DBC ∠=∠=∠，于是，00518036BEC EBC DCB DBC DBC ∠+∠+∠=∠=⇒∠=在圆上A 、B 、C 、D 四个位置填上4个数2，0，1，2（如图甲），如果进行这样的操作：每次选一个位置上的数加1，那么最少需要3次操作能达到四个位置上的数相同，操作方法有3种（C 位1+，B 位两次1+；B 位两次1+，C 位1+；和B 位1+，C 位1+，B 位再1+）。

2018年全国初中数学竞赛(初一组)初赛试题(带答案)

2018年全国初中数学竞赛（初一组）初
赛试题（带答案）
本资料为woRD文档，请点击下载地址下载全文下载地址2018年全国初中数学竞赛初赛试题
得分
一、选择題
.已知,6两个数在一条隐去原点的数轴上的位置如图所示，现有下列四种说法:D|a1-|61>0
2a+6<0;3ab<0;@a+b+ab+1<a其中，一定成立的是
02。

023
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第1题1
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2著2+1的值与y一3的值互为相反数，则4+2的值为-
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3.某种商品若按原标价出售，则可获利50%,若按原标价的八折出售，则可获利
15%20%
40%
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4.定义““运算为.b=2a+ab,若+-22则x的值为
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如图，有一个无益的正方体纸盒，下底面标有字母“m",若沿图中粗线将其剪开，则纸盒展开的平
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如图,AB//cD,若用會Z1,2,，1+2263
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2+23-21-180。

时代杯”2018年XXX数学应用与创新邀请赛初赛试题(含答案)

时代杯”2018年XXX数学应用与创新邀请赛初赛试题(含答案)时代杯”2018年XXX数学应用与创新邀请赛初赛试题（初中组）注意事项：1.本试卷共4页，22题，满分150分，考试时间100分钟。

2.请使用钢笔或圆珠笔（蓝色或黑色）直接填写答案。

3.在答卷前，请填写密封线内的项目和考号。

一、选择题（每小题5分，共50分）1.已知m≠，下列计算正确的是（）。

A。

m²+m³=m⁵B。

m²×m³=m⁶C。

m³÷m²=mD。

(m²)³=m⁶2.已知四个数：2，－3，－4，5，任取其中两个数相乘，所得积的最大值是（）。

A。

20B。

12C。

10D。

－63.设a＋1与2(a－1)的值互为相反数，则a的值是（）。

A。

3B。

1C。

－3D。

－14.（n＋1）边形的内角和比n边形的内角和大（）。

A。

360°B。

180°C。

90°D。

60°5.现有2008年奥运会福娃卡片5张，卡片正面分别印着XXX、XXX、欢欢、迎迎、XXX，每张卡片大小、质地和背面图案均相同。

若将卡片正面朝下反扣在桌面上，从中随机一次抽出两张，则抽到卡片XXX的概率是（）。

A。

1/12B。

1/10C。

4/55D。

5/556.有一件工作，A一个人需要20天完成，B一个人需要30天完成。

他们一起工作需要（）天完成。

A。

10B。

12C。

15D。

507.如图，已知⊙O的半径为5，直线l与⊙O相交，点O 到直线l的距离为2，则⊙O上到直线l的距离为3的点的个数是（）。

A。

4B。

3C。

2D。

18.已知方程x²－2│x│－15＝0，则此方程的所有实数根的和为（）。

A。

0B。

－2C。

2D。

89.已知实数a，b同时满足a²＋b²－11＝0，a²－5b－5＝0，则b的值是（）。

A。

1B。

1，－6C。

2018全国高中数学联赛江苏赛区初赛试卷及问题详解

2018全国高中数学联赛某某赛区初赛试卷时间：120分钟总分为：150分某某：一、填空题〔此题共10小题，每一小题107分，总分为70分.要求直接将答案写在横线上.〕 1、函数cos cos2(R)y x x x =-∈的值域为__ __.2、2(i)34i a b +=+，其中,R a b ∈，i 是虚数单位，如此²²a b +的值为_ ___.3、圆心在抛物线²2x y =上，并且和该抛物线的准线与y 轴都相切的圆的方程为___ __.4、设函数14()2xxf x x -=-，如此不等式2(1)(57)0f x f x -+-<的解集为__ ___.5、等差数列{}n a 的前12项的和为60，如此1212a a a +++的最小值为__ ___.6、正四面体内切球的半径是1，如此该四面体的体积为___ __.7、在ABC ∆中，54AB AC ==，，且12=⋅AC AB ,设P 是平面ABC 上的一点，如此)(PC PB PA +⋅的最小值为_____.8、设()g n =∑=nk n k 1),(，其中*Nn ∈，(,)k n 表示k 与n 的最大公约数，如此(100)g 的值为=___ __.9、将1,2,3,4,5,6,7,8,9，这9个数随即填入3⨯3的方格中，每个小方格恰填写一个数，且所填的数各不一样，如此使每行、每列所填的数之和都是奇数的概率为__ __.10、在1,2,3,4,,1000中，能写成²²1(N)a b a b -+∈，的形式，且不能被3整除的数有__ ____个.二、解答题〔本大题共4小题，每一小题20分，共80分〕11、如图，在平面直角坐标系xoy 中，圆O 的方程为224x y +=，过点(0,1)P 的直线l 与圆O 交于,A B 两点，与x 轴交于点Q ，设PB QB PA QA μλ==,，求证：μλ+为定值.12、{}n a 是公差为(0)d d ≠的等差数列，且t a t a t a +=+=+33221，（1）某某数t d ，的值；（2）假如正整数满足0222r p =-=-=-rr pp mm t a t a t a m ，＜＜，求数组(,,)m p r 和相应的通项公式n a .13、如图，在圆内接四边形ABCD 中，对角线AC 与BD 交于点P ，ABD ∆与ABC ∆的内心分别为1I 和 2I ，直线21I I 分别与AC BD ，交于点,M N ，求证：PM PN =.14、从1,2,3,,2050这2050个数中任取2018个数组成集合A ，把A 中的每个数染上红色或蓝色，求证：总存在一种染色方法，是使得有600个红数与600个蓝数满足如下两个条件：①这600个红数的和等于这600个蓝数的和； ②这600个红数的平方和等于这600个蓝数的平方和.参考答案：〔1〕9[0,]8；〔2〕5；〔3〕221(1)()12x y±+-=；〔4〕(2,3)；〔5〕60；〔6〕83；〔7〕658-；〔8〕520；〔9〕114；〔10〕501；〔11〕83；〔12〕①12t=-，38d=；②(,,)(1,3,4)m p r=，1(311)8na n=-；。

2018年 8年级初赛试题----打印版

英语笔试试题※ 注意事项：1、答卷前请考生务必将自己的姓名、学校、年级、联系电话、考号写在密封线内。

2、答案写在试卷上，写在草稿纸上无效。

第一部分选择题 (共 70分)一、单项选择题（共10小题；每小题1分，满分10分）（）1. Why not take ____ umbrella with the sign “ Made in China”? It is _____ useful umbrella! —What _______ good advice it is!A. an; an; aB. an; a; \C. a; an; aD. \; an; a （）2. Japan is ________ the east of China, Taiwan is ____ the southeast of China..A. in; inB. to; inC. on ; toD. in; to（）3. I don’t know when Jaid ________. When she _______ here, I’ll call you in a minute.A. will come; will arriveB. comes; arrivesC. will come; arrivesD. comes; will arrive（）4. _________ that man be our new maths teacher?No, it _________ be him. Our headteacher said our new maths teacher was a tall one.A. Can; mustn’tB. May; mustn’tC. Must; can’tD. Can; can’t（）5. This pair of shoes _______ really small for my son.Why not try another _________..A. is, pairB. are, pairC. is, oneD. are, one （）6. The inn ________ at 8:00 a.m. and it ________ for ten hours every day.A. opens; is openB. is opened; opensC. is open; has openedD. opened; opens（）7. Though Lily talks ______, she has made ________ friends here.A. a little, a fewB. little, fewC. little, a fewD. few, a few（）8. Many Chinese students think science subjects are ________ foreign languages.A. more difficult asB. less difficult thanC. much difficult thanD. so difficult as（）9. — Have you found the information about the famous people ________ you can use forthe report?—Not yet. I’ll search some on the Internet.A. whoB. whatC. whomD. which（）10. They preferred ______ in bed rather than _____ horses.A. to lie; to rideB. lying; ridingC. to lie; rideD. lying; ride二、语法填空（共10小题；每小题1分，满分10分）When the Great Library of Alexandria was burned, the story begins with one book which was saved. But nobody thought it was a 11 book. A poor man, who could read a little, bought it for a few coins. The book wasn’t very interesting, but 12 its pages there was something very interesting indeed. It was a strip of Vellum 13 the secret of the “Touchstone” was written.The touch stone was a small pebble （鹅卵石）that could turn any common metal into pure gold. The writing explained that it was lying among thousands of other pebbles that looked exactly like it. But the secret was that the real stone 14 warm, while ordinary pebbles were cold. So the man camped on the seashore and began 15 pebbles. He knew that if he picked up ordinary pebbles and threw them down again because they were cold, he might pick up the same pebble hundreds of times. So, when he felt 16 that was cold, he threw it into the sea. He spent a whole day 17 this but none of them was the touchstone. Yet he went on and on this way. One day, however, about mid-afternoon, he picked up a pebble and it was warm. He threw it into the sea 18 he realized what he had done. He had formed 19 of throwing each pebble into the sea that when the one he wanted came along, he still threw it away.So it is with opportunity. Unless we are careful, it’s easy to fail to recognize an opportunity when it is 20 hand. （）11. A. value B. valuable C. values D. valuing （）12. A. between B. among C. inD. through （）13. A. thatB. whichC. on whichD. when （）14. A would feel B. feels C. will feel D. feeling （）15. A. tested B. tests C. testing D. test （）16. A. one B. ones C. the pebbleD. pebbles （）17. A. to do B. doC. doingD. did （）18. A. beforeB. afterC. whileD. so（）19. A. so a strong habitB. such a strong habitC. a such strong habitD. such strong a habit （）20. A. withB. onC. byD. in三、完形填空（共10小题，每小题1分，满分10分）It was a small town in England. The people there worked hard but they always got poor harvests. Because the weather was cold and wet and it was bad for their 21 . There was a primary school in the town but most people were so 22 that they couldn’t send their children there.Mr. Morgan, whose father was a headmaster, was sent to a 23 in the capital. He studied law there and became very knowledgeable. He usually 24 to his hometown during his holiday and a lot of his friends wanted to spend time with him. They asked a lot about the capital and hoped to be given some 25 about on their own studies. The young man was warm-hearted and was 26 to help them.Mr. Waley, one of the Morgan’s neighbours, had a shop in the corner of the town. He had been a soldier in France and always thought he knew more than everyone else. But he got into trouble and hoped Mr. Morgan could help him. But before the young man 27 , Mr. Waley talked on and on in a flaw of eloquence. Mr. Morgan 28 him for nearly an hour and then began to pour him a cup of tea. The cup was full but he didn’t 29 and went on poring. “Can’t you see the cup is full? You can’t pour any tea into it.” The shopkeeper said 30 .“You’re right, Mr. Waley,” the young man stopped to say. “Your brain has been full of all kinds of opinions like the cup. How can I help you if your mind is already full? You come here to ask me for第十三届ABC 全国青少年英语口语大赛广东赛区初赛试题第十三届ABC 全国青少年英语口语大赛广东赛区初赛试题（八年级）第1页共8页第十三届ABC 全国青少年英语口语大赛广东赛区初赛试题（八年级）第2页共8页advice you already know!”（）21. A. health B. lives C. crops D. animals（）22. A. poor B. rich C. good D. hard-working（）23. A. shop B. hospital C. factory D. university（）24. A. got B. returned C. happened D. came（）25. A. savings B. money C. advice D. wishes（）26. A. ready B. successful C. afraid D. impossible（）27. A. got in B. went in C. sat down D. said a word（）28. A. listened to B. heard C. talked with D. reported（）29. A. gave B. stop C. stand D. find（）30. A. hardly B. happily C. badly D. angrily四、阅读理解（共20小题；每小题2分，满分40分）AFor hundreds of years, Japan has been hit, from time to time, by enormous tsunamis. These awful sudden risings of the sea are caused by earthquakes or underwater volcanic action. The story of the boy Yuuki is the story of such a disaster.Yuuki lived with his family in a sea-side village, below a small mountain. One day, as he played on top of the mountain, he felt an earthquake beneath his feet. It was not strong enough to frighten anybody and passed quickly. Soon after, however, Yuuki noticed the sea darken and begin running away from the shore very fast, leaving behind wide stretches of beach that had never been exposed before.With a gasp, Yuuki remembered reading that just before a terrible tsunami, the sea suddenly and quickly rolls backward. He ran to the beach, warning the villagers who had gather to admire the huge new stretch of beach.“Get back!” shouted the boy. “There is terrible danger!”But no one listened. They laughed at him and continued playing in the new sand and watching the sea roll backward even more.Desperate, Yuuki could think of only one thing to do. He lit a tree branch, raced to the rice fields and began burning the stacks of harvested rice. Then he called out, “Fire! Fire! Everyone run to the mountain! Now!”When everyone reached the mountain-top, a villager cried out, “Yuuki is mad! I saw him set the fire.” Yuuki hung his head in shame, but said nothing as the villagers cursed him. Just then, someone cried, “Look!”In the distance what seemed to be a huge dark line was speeding towards the shore. As it got nearer the people realized the long thin line of darkness was the returning sea, towering like a mountain.The villagers watched in terror as the water struck the shore, smashing over their homes then tearing out the land as it receded.On the mountain everyone stared speechlessly at the destruction below.“I’m sorry I burned the fields,” said Yuuki, his voice trembling.“Yuuki,” village-chief answered. “You saved us all.”The villagers cheered and raised Yuuki into the air. “We were going to celebrate our rice harvest tonight,” said one, “but now we'll celebrate that we're all still alive!” （）31. Where was Yuuki when the earthquake struck?A. On the beachB. On the mountain.C. In the rice fields.D. At his family home. （）32. In what order do the following events take place?a. Yuuki set fire to the rice fields.b. The villagers laughed and played on the beach.c. The land was torn away by the water.d. Yuuki ran to warn the villagers.e. The villagers stared at the destruction.f. The people were cursing Yuuki.A. d, b, e, a, c, fB. b, a, d, e, c, fC. d, b, a, f, c, eD. a, d, b, e, f, c（）33. How did Yuuki save the villagers from the disaster?A. He told them about the earthquake.B. He explained why the sea was flowing out.C. He told the village chief to warn the people.D. He set fire to the rice fields.（）34. What were the people planning to do before the tsunami struck their village?A. Harvest the rice crop.B. Play on the beach.C. Climb the mountain.D. Celebrate the rice harvest.（）35. What’s the meaning of the word “tsunamis” in Chinese?A．地震 B. 飓风 C. 海啸 D.台风BThere was a sign above a store owner’s door that read "Puppies for Sale." Signs like that have a way of attracting small children, and sure enough, a little boy appeared under the sign."How much are you going to sell the puppies for?" he asked.The owner replied, “Anywhere from $30 to $50."The little boy reached in his pocket and pulled out some change. "Can I please look at them?"The man smiled and whistled, then out of the store came a young lady, who ran down followed by five tiny balls of fur. One puppy was far behind. Immediately the little boy chose out the last puppy and said, "What's wrong with that little dog?"The store owner explained that the vet had examined the little puppy and had discovered its right leg was broken. It would always be lame. The boy became excited, "That is the little puppy that I want to buy.""No! If you really want him, I'll just give him to you." said the owner.The boy got quite upset. He looked straight into the owner's eyes and said, "I don't want you to give him to me. That little dog is worth as much as all the other dogs and I'll pay full price. In fact, I can give you $2.30 now and $5 a month until I have him paid for one year"The store owner insisted, "You really don't want to buy this little dog. He is never going to be able to run and jump and play with you like the other puppies."To this, the little boy reached down and rolled up his left pant leg .That was a badly crippled one which supported by a big metal brace.He looked up at the store owner and softly replied, "Well, I don't run so well myself, and the little puppy will need someone who understands!"（）36. What kind of dog did the boy want?A. He wanted a puppy like a tiny ball of fur.B. He preferred a healthy one to a lame one.C. He wanted to adopt the one who had a broken leg.第十三届ABC全国青少年英语口语大赛广东赛区初赛试题（八年级）第3页共8页第十三届ABC全国青少年英语口语大赛广东赛区初赛试题（八年级）第4页共8页D. He chose none of them because of the high price.（）37. How much would he pay for the dog in total? A. $2.37B. $7.30C. $62.30D. $50（）38. Why did the boy want to buy such a dog?A. He chose the lame one because he could run after it easily.B. He liked feeding the lame puppy because he could get it for free.C. He thought the little dog is too weak and it didn’t need too much food.D. He was a disabled boy and he had much sympathy for the little puppy.（）39. Which statement is True ？A. The owner wanted to send the puppy to the boy because he thought it was no value.B. The little boy wanted to buy the puppy because he thought the owner didn’t like it at all and he wanted to look after it well.C. The boy decided to buy the puppy, for it’s so ugly that he could get it in a low price.D. He didn’t get enough money to buy those healthy puppies; then he had to choose it.（）40. Which is the best title for this passage? A. A disabled puppy.B. A boy is selling a puppy.C. The true love for a Puppy.D. A boy called Puppy.CWhat is American food? At first you might think the answer is as easy as pie. To many people, American food means hamburgers, hot dogs, fried chicken and pizza. If you have a “sweet tooth”, you might think of apple pies or chocolate cakes. It’s true that Americans do eat those things. But are those the only kind of food you can find in America?Except for Thanksgiving turkey, it’s hard to find a typical “American” food. The United States is a land of immigrants, so Americans eat food from many different countries. When people moved to America, they brought their cooking styles with them. That’s why you can find almost every kind of ethnic food in America. In some ways, Americans have taken foods from other countries as favorites. Americans love Italian pizza, Chinese egg rolls. But the American ones don’t taste quite like the food where it comes from.As any large country, the US has several special regions. Each region is proud of its own special style of food. Visit the South and enjoy country-style cooking. Take a trip to New England and taste delicious seafood dishes. Travel through Midwest for tasty baked food. Travel over Southwest and try good treats. Finish your food tour in Northwest with some wonderful coffee.Americans are living at a fast pace. Fast food restaurants offer people on the run everything from fried chicken to fried rice. Half-done dinners and fast food make cooking at home very easy. One of the most popular quick meals is sandwich. If the meat or cheese can be put between two pieces of bread, Americans probably make a sandwich.Americans on the go also eat a lot of “junk food”. Potato chips, candy bars, soft drinks and so on are popular treats. Many people eat too much of these unhealthy food. But others choose for more healthy eating habits. Some even go “all natural”. They refuse to eat any food prepared with chemicals.American culture is a good example of the saying, “You’re what you eat.” There is different background and ways of thinking. The kind of foods enjoyed in the US shows all kinds of personal tastes. The food may be international and regional. Sometimes it’s fast, and sometimes it’s not so fast. It might be junk food or maybe it’s natural food. No matter what it is, the style is all-American.（）41. The Americans prefer the ethnic food ，because these food _________. A. are Italian and Chinese food B. are easy to prepare C. have different tastes in their cooking D. are healthy and natural（）42. Why can you find almost every kind of ethnic food in America?A. Because Americans enjoy eating.B. Because immigrants to America bring their ways of cooking with them.C. Because it’s easy to make ethnic food.D. Because Americans like to try new-style cooking. （）43. The third paragraph mainly tells us ________. A. where you can find the delicious foodB. Americans like traveling to different regionsC. There are some special regions in AmericaD. Americans can enjoy some special food in special regions（）44. What is the proper meaning of the underlined word ‘immigrants’？ A ．少数民族B ．殖民地C ．移民D ．土著人（）45. From the passage, we know _________. A. there is no typical American food in the US B. natural food is the healthiest foodC. all Americans like to eat fast food because it is easy to makeD. the culture of a country decides its food stylesDThe next time you take a bath, watch what happens when you pull the plug from the drain in the bathtub. You will see the water swirl quickly down the drain. The water will spin fast enough to create a whirlpool. That is similar to how black holes work.How Do Black Holes Work Black holes use the power of gravity. For example, the pull of the Earth's gravity keeps us on the ground. We would float off into space if there were no gravity.Now imagine this: The pull of a black hole is many times more powerful than the pull of the sun. It is powerful that even light cannot escape its pull. That is why it is called a black hole.How Do Black Holes Form?Black holes are formed when giant stars die. Young stars burn gases that give off heat. Finally stars get old and run out gas and heat. When this happens, they shrink. As they get smaller and smaller, the pull of their gravity grows stronger and stronger. In time they get so small they cannot be seen. How Do We Know Black Holes Are There?Scientists first predicted the existence of black holes more than 200 years ago. However, they did not have any way to prove their idea.In 1990, the United States sent a special craft to orbit the Earth. They couldn't see a black holedirectly, however, they could see circling gases in outer space. The circling gases looked like the whirlpool that water makes when it rushes down a bathtub drain. These whirlpools proved that black holes really exist. （）46. What do black holes use to pull things in?A. Whirlpools.B. Wind.C. Gravity.D. Light.第十三届ABC 全国青少年英语口语大赛广东赛区初赛试题（八年级）第5页共8页第十三届ABC 全国青少年英语口语大赛广东赛区初赛试题（八年级）第6页共8页（）47. In Paragraph 1, which word means almost the same as underlined word "swirl"?A. Take.B. Spin.C. Pull.D. plug.（）48. Black holes got their name because .A. they keep light from escapingB. they cause young stars to dieC. they keep people from floating into spaceD. they pull water down a drain（）49. The author probably begins this passage with a paragraph about bathtub drains to .A. show what happens when a star gets old and loses its energyB. tell us how the sun's gravity keeps the planets in placeC. explain why scientists began to believe that black holes existD. give a simple example of how black holes work（）50. According to the passage, what did scientists see that made them sure that black holes exist?A Several large empty places in outer space.B. A few giant stars that were near one another.C. A satellite that was carried into space.D. Gases that were circling around like a whirlpool.第二部分非选择题(共30 分)五、单词拼写（共10小题, 每小题1分，满分10分）根据所给首字母或括号内的提示，写出句中所缺的单词，并注意其正确形式。

2018年NOIP初赛试题及答案

2018年NOIP初赛试题及答案
NOIP初赛试题形式
初赛全部为笔试，满分100分，试题由四部分组成
(⼀) 选择题
共20题，每题1.5分。

共计30分。

每题有5个备选答案，前10个题为单选题（即每题有且只有⼀个正确答案，选对得分），后10为不定项选择题（即每题有1⾄5个正确答案，只有全部选对才得分）。

(⼆) 问题求解题
共2题，每题5分，共计10分。

试给出⼀个叙述较为简单的问题，要求学⽣对问题进⾏分析，找到⼀个合适的算法，并推算出问题的解。

考⽣给出的答案与标准答案相同，则得分，否则不得分。

(三) 程序阅读理解题
共4题，每题8分，共计32分。

题⽬给出⼀段程序（不⼀定有关于程序功能的说明），考⽣通过阅读理解该段程序给出程序的输出结果。

输出结果如果跟标准答案⼀致，则得分，否则不得分。

(四) 程序完善题
共2题，每题14分。

共计28分。

题⽬给出⼀段关于程序功能的⽂字说明，然后给出⼀段程序代码，在代码中略去了若⼲个语句或语句的⼀部分，并在这些位置给出空格。

要求考⽣根据程序的功能说明和代码的上下⽂填出被略去的语句。

填对则得分；否则不得分。

2018年NOIP初赛试题
参考答案。

小学数学思维训练杯赛：亚太杯（试题汇总+竞赛介绍）

小学数学思维训练杯赛：亚太杯（试题汇总+竞赛介绍）亚太杯简介：亚太小学数学奥林匹克邀请赛是从新加坡小学数学奥林匹克竞赛演化而来，从1990 年开始每年举办一次。

由于竞赛规模越办越大，亚太部分国家和地区渐渐派代表队参与竞赛，现已成为亚太地区最有影响力的小学数学竞赛之一。

参赛对象：小学五年级学生，小学四年级学生竞赛形式〔以2021年第24届亚太杯为例〕：2021年第24届亚太小学数学奥林匹克邀请赛分为上海赛区初赛、决赛、新加坡〔第一回合〕及新加坡总决赛〔第二回合〕，全部竞赛试卷，均由大赛组委会下发的统一评分标准进行阅卷和评分。

考试与命题：〔一〕上海赛区初赛时间：2021年12月 21 日〔周五〕16:00-17:30初赛命题30道题，共计150分，考试时间90分钟，四、五年级组使用不同试卷。

初赛将在各报名点内举行，按考试统一分数线进入上海赛区决赛〔详见细则〕。

〔二〕上海赛区决赛时间：2021年3月3日〔周日〕下午13:00-15:00〔120分钟〕。

决赛命题30道题，共计150分，四、五年级组使用不同试卷。

〔三〕亚太小学数学奥林匹克邀请赛-新加坡第一回合：第一回合时间：待定〔以新加坡时间为准〕第一回合命题30道题，共计150分，四、五年级组使用相同试卷〔四〕亚太小学数学奥林匹克邀请赛第二回合〔新加坡总决赛〕：2021年5月下旬亚太杯历届真题汇总：2021年第24届亚太小学数学奥林匹克邀请赛竞赛流程上海初赛上海决赛新加坡-第一回合新加坡总决赛-第二回合上海决赛四年级2021第24届亚太杯邀请赛上海决赛四年级试卷及详解五年级2021第24届亚太杯邀请赛上海决赛五年级试卷及详解2021年第23届亚太小学数学奥林匹克邀请赛竞赛流程上海初赛上海决赛新加坡-第一回合新加坡总决赛-第二回合2021年第22届亚太小学数学奥林匹克邀请赛竞赛流程上海选拔赛上海复赛第一回合-上海赛区决赛第二回合-新加坡总决赛上海复赛五年级2021"亚太杯'小学数学奥林匹克上海复赛五年级试题及详解第一回合-上海赛区决赛2021"亚太杯'小学数学奥林匹克第一回合试题及详解2021年第21届亚太小学数学奥林匹克邀请赛竞赛流程上海选拔赛上海复赛第一回合-上海赛区决赛第二回合-新加坡总决赛第一回合-上海赛区决赛2021"亚太杯'小学数学奥林匹克第一回合试题及详解2021年第20届亚太小学数学奥林匹克邀请赛竞赛流程上海选拔赛上海复赛第一回合-上海赛区决赛第二回合-新加坡总决赛上海选拔赛2021"亚太杯'小学数学奥林匹克选拔赛试题2021"亚太杯'小学数学奥林匹克选拔赛答案第一回合-上海赛区决赛2021"亚太杯'小学数学奥林匹克第一回合试题2021"亚太杯'小学数学奥林匹克第一回合答案2021年第19届亚太小学数学奥林匹克邀请赛新加坡第一回合2021"亚太杯'小学数学奥林匹克第一回合试题2021"亚太杯'小学数学奥林匹克第一回合答案亚太杯之于小升初的影响：家长和学生参与各种杯赛的最终目的是为了关心自己进入好的学校，经过几年的耕耘，"亚太'在上海各大名校中已是口碑十分洪亮的一块"敲门砖'了，可以毫不夸张的说，在上海赛区复赛中能进入前400名，基本上可以锁定理想的中学，尤其是市北和延安，是比较观赏"亚太'的证书的。

2015年第26届“亚太杯”初赛试题详解(五年级组)

考点：容斥原理解析：由题意可得 1～7 每个数字只能用一次，其和为 1＋2＋3＋4＋5＋6＋7＝28，又因每个圆上填的四个数之和为 13，所以根据容斥原理可得：13×3－（2＋a＋4＋a＋3＋a）＋a＝28，整理并解得： a 1 15、从一副完整的扑克牌中至少抽出张牌才能保证至少 6 张牌的花色相同。考点：抽屉原理、最不利原则解析：一副完整的扑克牌只有 54 张，其中大小王两张还有四种花色各有 13 张，根据最不利原则：先取两张大小王，之后每个花色再各取 5 张，这时在任意取出一张，必会出现 6 张牌的花色相同。所以至少取了 2＋5×4＋1＝23（张）
王洪福老师
数学
2015 年亚太初赛五年级（A 卷）
时间：90 分钟总分：150 分
(5 4)= 。
1、规定运算“ ”为a b=a×b-(a+b)，请计算：6 考点：整数计算解析：5 4=5×4-（5+4）=11 6 11=6×11-（6+11）=49
2、计算：2015-7×11×13×2= 。考点：整数计算解析：2015-7×11×13×2=2015-1001×2=2015-2002=13 3、小红家的农场里，养着一群鸡和兔，这群鸡兔一共有60只眼睛， 96只脚.那么兔有考点：鸡兔同笼解析：鸡、兔总只数：60÷2=30（只）假设全是鸡，则兔有：（96-30 ×2）÷（4-2）=18（只）只。
4、如图所示，∠1 等于 100 度，∠2 等于 60 度，∠3 等于 90 度。请问：∠4 等于______度。
考点：角解析：任意多边形的外角和等于 360°。所以∠4=360°—∠1—∠2—∠3=360°—100°—60°—90°=110°。 5、一列长280 米的火车以每秒钟18 米的速度通过一座大桥，从车尾上桥到车头离开桥共用了 20 秒，那么这座桥长。考点：火车过桥解析：从车尾上桥到车头离开桥的距离=桥长-车长=20×18=360（米）则桥长=360+车长=360+280=640（米） 6、右图中有个长方形。

2018-2019-奥赛初赛试题-word范文 (16页)

本文部分内容来自网络整理，本司不为其真实性负责，如有异议或侵权请及时联系，本司将立即删除！== 本文为word格式，下载后可方便编辑和修改！ ==奥赛初赛试题篇一：201X年湖南省生物奥赛初赛试题篇二：201X年全国生物竞赛初赛试题(含答案)201X年生物竞赛试题注意事项：1．所有试题使用黑色中性笔或钢笔在答题卡上工整作答；2．试题单选40题和多选10题，共计50题；多选题多选、漏选或错选均不得分；3．答题时间45分钟，请各位考生抓紧时间。

Ⅰ卷单选题（70′）一．基础题（1′× 10 =10′） 1．人体最大的器官是 ( )A．肺 B．心脏 C．皮肤 D．肾脏．2．如果B型血的人受伤需输血，为了防止凝集反应，所输血的血型应该是 ( ) A．A型血 B．B型血 C．O型血D．AB型血 3．某人因外伤出血，血色暗红，血流较缓，紧急的抢救措施是 ( )A．赶紧送往医院 B．指压法远心端压住C．消毒后用纱布包扎 D．止血带近心端捆住 4．只有人类才能建立的反射是( )A．见红灯停步B．听见铃声吃食物 C．闻到香味垂涎D．谈虎色变5．试管内有一些植物油，加入配制的消化液后，充分振荡，置于37℃的温水中保温，过一会儿植物油不见了，请分析配制的消化液最合理的一组是（）A 肠液、胰液和胆汁B 唾液、胃液和肠液C 肠液、胃液和胰液D 唾液、胃液和胆汁 6．甲试管血液中加入柠檬酸钠，乙试管血液不加任何试剂，静置一天均得到上清液。

那么，这两种液体 ( ) A．都是血浆 B．都是血清C．甲是血浆，乙是血清D．甲是血清，乙是血浆7．视力正常的人，物像总是准确地落在视网膜上，这主要是由于( ) A．瞳孔可以缩小和放大B．眼球的前后径可以调节C．晶状体的曲度可以调节 D．视网膜可以前后移动8．1971年联合国教科文组织制订了“人与生物圈”的研究计划，其目的主要在于 ( ) A．协调人与生物圈的关系 B．保护生物圈内的各种生物 C．保护地球上的生态环境 D．防止生物圈遭到破坏 9．现代类人猿和人类的共同祖先是 ( )A．黑猩猩 B．长臂猿 C．森林古猿D．大猩猩 10．下列4组疾病中，都是由蚊子传播的一组是（）。

2018亚太赛数学建模题目

2018亚太数学建模竞赛
问题B
人才与城市发展
吸引人才是过去几年许多城市的亮点之一。

北京、上海、武汉、成都、西安和深圳实际上都在通过各种吸引人的政策竞争人才。

人才是城市创新发展的原动力，因为他们能够在短时间内学习到更好的技能，做出更好的产品，掌握更好的管理方法。

人才是城市创新扩散的主要驱动因素，因为创新扩散是通过以高素质的人才为媒介的新工艺和新技术的推广来实现的。

在当今的城市，除了本地人才市场之外，人才还通过互联网、校园招聘会和公开招聘活动来招聘。

附件是a市最大市级就业市场之一(被称为“a市就业市场”)的就业需求数据。

问题1:根据所附数据，对“a市就业市场”的人才需求进行建模分析，从就业需求、期望职业、期望教育背景等方面进行分析。

问题2:试着建立一个模型,一个城市的实际人才需求与人才需求的角度的“一个城市的就
业市场”和中国学生的就业状况的基础上,数据连接和其他必要的数据,并预测和分析城市的潜在人才的需求在未来三年。

问题3:利用问题2的数据和结论，尝试推断a市的行政范畴、可能的地理区域、经济地位和高新技术产业发展。

问题4:近年来，大学生出现了一些新的职业偏好，如参加村官考试、参加公务员考试、自主创业、异地就业、出国留学等。

这些偏好有助于分散大学毕业生的就业机会。

尝试对这种现象进行建模和量化，为a市的城市发展和人才引进提供策略。

问题5:请写一封信给学校当局对你的建议和意见的人才培训计划主要你知道,覆盖了课程
建设,培养应用人才,大学生的个性化,和相应的质量保证措施的框架内你的大学和专业,根据当前市场对人才的需求。

1。

“时代杯”2018年江苏省中学数学应用与创新邀请赛初赛试题(含答案)

“时代杯”2018年江苏省中学数学应用与创新邀请赛初赛试题（初中组）(2018年12月6日下午14∶00~15∶40)题号一二三总分1—1011—1819202122得分注意事项：1．本试卷有22题共4页．满分150分．考试时间100分钟．2．用钢笔或圆珠笔（蓝色或黑色）直接答在试卷上．3．答卷前将密封线内的项目及考号填写清楚．一、选择题（下列各题的四个选项中，只有一个是正确的．每小题5分，共50分）1．已知m ≠0，下列计算正确的是（）．A ．m 2＋m 3＝m5B ．m2·m 3＝m6C ．m 3÷m 2＝m D ．(m 2)3＝m 52．已知四个数：2，－3，－4，5，任取其中两个数相乘，所得积的最大值是（）．A ．20B ．12C ．10D ．－6 3．设a ＋1与2(a －1)的值互为相反数，则a 的值是（）．A ．3B ．1C ．0D ．134．（n ＋1）边形的内角和比n 边形的内角和大（）．A ．360°B ．180°C ．90°D ．60°5．现有二○○八年奥运会福娃卡片5张，卡片正面分别印着贝贝、晶晶、欢欢、迎迎、妮妮，每张卡片大小、质地和背面图案均相同．若将卡片正面朝下反扣在桌面上，从中随机一次抽出两张，则抽到卡片贝贝的概率是（）．A ．15B ．14C ．25D ．456．There is a piece of work ．It takes Mr. A alone 20 days to finish ，and Mr. B 30 alone days to finish ．It takes them （）days to work together to finish the work ．A ．10B ．12C ．15D ．50 7．如图，已知⊙O 的半径为5，直线l 与⊙O 相交，点O 到直线l 的距离为2，则⊙O 上到直线l 的距离为3的点的个数是（）．A ．4B ．3C ．2D ．18．已知方程x 2－2│x │－15＝0，则此方程的所有实数根的和为（）．A ．0B ．－2C ．2D ．89．已知实数a ，b 同时满足a2＋b 2－11＝0，a 2－5b －5＝0，则b 的值是（）．A ．1B ．1，－6C ．－1D ．－610．如图，在△ABC 中，D 、E 分别是BC 、AC 的中点．已知∠ACB ＝90°，BE ＝4，AD ＝7，则AB 的长为（）．A ．10B ．5 3C ．213D ．215二、填空题（每小题5分，共40分）11．某人使用计算器计算全班50名学生的一次数学测验的平均分时，如果错将其中的一个成绩115分输入为15分，那么由此求出的平均分比实际平均分低分．密封线姓名学校考号．Ol（第7题）ABEC（第10题）D12．已知函数y 1与y 2分别由下表给出，那么满足y 1＞y 2的x 的值是．x 1 2 3 x 1 2 3 y 1131y 232113．设a >0，5－a 是整数，则a 的值为．14．在图示的运算流程中，若输出的数y ＝5，则输入的数x ＝．15．如图，在矩形ABCD 中，点E 、F 分别在AB 、CD 上，AF ∥EC ，△AFD 与四边形AECF 的面积相等．已知AB ＝6cm ，BC ＝3cm ，则AF 与CE 之间的距离是cm ．16．设直线l 1是函数y ＝2x －4的图象，将直线l 1绕原点按逆时针方向旋转90°得到直线l 2，则l 2与两条坐标轴所围成的三角形的面积是．17．如图，在△ABC 中，已知∠ABC ＝90°，D 是AC 的中点，过点D 作DE ⊥AC ，与CB 的延长线交于点E ，以BA 、BE 为邻边作长方形BAFE ，连接FD ．若∠C ＝60°，DF ＝3cm ，则BC 的长为cm ．18．在△ABC 中，已知∠ACB=90o ，∠A ＝40o ．若以点C 为中心，将△ABC 旋转θ角到△DEC 的位置，使B 点恰好落在边DE 上（如图所示）．则θ＝o ．三、解答题（第19—21题每题14分，第22题18分，共60分）19．已知关于x 的方程（a －1）x 2－4x －1＋2a ＝0的一个根为x ＝3．（1）求a 的值及方程的另一个根；（2）如果一个三角形的三条边长都是这个方程的根，求这个三角形的周长．FABDEC（第15题）EADCFB（第17题）θ ACD BE（第18题）减1是否是否偶数输入x输出y 除以2（第14题）20．（1）已知恒等式x 3－x 2－x ＋1＝（x －1）（x 2＋kx －1），求k 的值；（2）若x 是整数，求证：x 3－x 2－x ＋1x 2－2x ＋1是整数．21．甲、乙两个水池同时放水，其水面高度（水面离池底的距离）h （米）与时间t （小时）之间的关系如图所示（甲、乙两个水池底面相同）．（1）在哪一段时间内，乙池的放水速度快于甲池的放水速度？（2）求点P 的坐标，由此得到什么结论？（3）当一个池中的水先放完时，另一个池中水面的高度是多少米？t h O5876543214321QP乙甲(米)(小时)22．某人用一张面积为S 的三角形纸片ABC ，剪出一个平行四边形DEFG ．记□DEFG 的面积为T,（1）如图1，如果□DEFG 的顶点都在△ABC 的各边上，D 、G 分别是AB 、AC 的中点．求T （用S 表示）；（2）如图2，如果□DEFG 的顶点都在△ABC 的各边上，求证：T ≤12S ；（3）对任意剪得的□DEFG ，T ≤12S 还成立吗？请说明理由．图1ABCDEFGAB CFEDG图22008年“时代杯”江苏省中学数学应用与创新邀请赛初赛试题参考答案一、选择题（每小题5分，共50分）1．C 2．B 3．D4．B5．C6．B7．B8．A9．A10．C ．二、填空题（每小题5分，共40分）11．212．213．1，4，514．10，或1115．1.216．417．118．80．(说明：第13题答对1个给1分，对2个给2分；第14题答对1个给2分）三、解答题（第19题～第21题每题14分，第22题18分.共60分）19．解：（1）由题设，得9（a －1）－4×3－1＋2a ＝0．解得a ＝2．……………3分所以原方程为x 2－4x ＋3＝0．它的另一个根是1．……………………………7分（2）由题设知，三角形的三边中至少有两条边相等，则有下列两种情形：①三边相等，边长为1，1，1；或3，3，3．那么三角形的周长是3或9；………………………11分②仅有两边相等，因为1＋1＝2＜3，所以三角形的边长只能为3，3，1．那么三角形的周长是7．由①、②知，三角形的周长可以是3，或7，或9．………………………14分20．解：（1）由题设知，232(1)(1)(1)(1)1x x kx xk xk x ，………………3分所以32321(1)(1)1xxx xk x k x ，从而有11,11.k k 解得k ＝0．………………………………7分（2）322221(1)(1)121(1)xxx x x x xx x ．因为x 是整数，所以x ＋1是整数．故322121xxx x x 是整数．………………14分21．解：（1）由图知，甲池的放水速度为824（米/小时）．当0≤t ≤3时，乙池的放水速度为13（米/小时）；当3＜t ≤5时，乙池的放水速度为52（米/小时）．因为13＜2，2＜52，所以3＜t ≤5时，乙池的放水速度快于甲池的放水速度．……………………4分（2）甲池中水面高度h （米）与时间t （小时）的函数关系为h ＝－2t ＋8．当0≤t ≤3时，乙池中水面高度h （米）与时间t （小时）的函数关系为631th．由.631,82tht h解得.528,56ht 所以628(,)55P ，即(1.2,5.6)P ．由此说明，当t ＝1.2小时时，两池中水面的高度相等．…………………10分（3）由图知，甲池中的水4小时放完．当3＜t ≤5时，乙池中水面高度h （米）与时间t （小时）的函数关系为22525th．当t ＝4时，25h，即h ＝2.5．所以当甲池中的水先放完时，乙池中水面的高度是 2.5米．……………………14分注：（1）中，答3＜t ≤4，不扣分．22．解：（1）因为D 、G 分别是AB 、AC 的中点，所以DG ∥BC ，且DG ＝12BC ．分别过点A 、D 作AM ⊥BC ，DN ⊥BC ．则∠DNB ＝∠AMB ．因为∠B ＝∠B ，所以△DNB ∽△AMB ．又因为DB ＝12AB ，所以DN ＝12AM ．故T ＝12S ．………………………6分（2）过点G 作GH ∥AB ，交BC 于点H ．则∠B ＝∠GHF ．因为DE ＝GF ，DE ∥GF ，所以∠DEB ＝∠GFH ．从而有△DBE ≌△GHF ．因为DG ∥BC ，所以∠ADG ＝∠B ，从而有△ADG ∽△ABC ．同理，△GHC ∽△ABC ．设AD ＝kAB （0＜k ＜1），则S △ADG ＝k 2S ．同理，S △GHC ＝（1－k ）2S ．T ＝S －S△ADG－S △GHC ＝[1－k 2－（1－k ）2] S＝（－2 k 2＋2 k ）S ＝－2[（k －12）2－14] S＝－2（k －12）2 S ＋12S ≤12S ．…………………12分（3）分以下四种情形讨论：第一种情形：如果剪得的平行四边形有三个顶点在三角形的边上，第四个顶点不在三角形的边上．①当其中有两个顶点在同一边时，如图3-1所示，延长DG 交AC 于点G ′，过点G ′作G ′F ′∥GF ，交BC 于点F ′，易知四边形DEF ′G ′是平行四边形，则T ≤S □DEF ′G ′．由（2）知，S □DEF ′G ′≤12S．所以T ≤12S ．②当三点分别在三角形的三边时，如图3-2，过A 点作AH ∥DE 交EF 、DG 于F ′、G ′,问题转化为（2）和图3-1两种情形，则图3-1ABCDEF GG ′F ′A图3-2BCDEFGH F ’G ’T= S□DEF′G’’+ S□F′G′GF≤12S△ABH+12S△AHC=S．第二种情形：如果剪得的平行四边形有两个顶点在三角形的边上，另两个顶点不在三角形的边上．①当这两个顶点在同一边上时，如图3-3，延长DG与三角形的两边AB、AC分别交于点L、K，作平行四边形MNKL．问题转化为（2）．则T=S□DEFG≤S□MNKL≤12 S．②当这两个顶点分别在三角形的两边上时，如图3-4．延长DE、GF交BC于点K、M，过点K作KN∥DG，交G M于点N．易得四边形DKNG是平行四边形，从而问题转化为图3-2的情形，则T=S□DEFG≤S□DKN′G≤12 S．第三种情形：如果剪得的平行四边形只有一个顶点在三角形的的边上，另三个顶点不在三角形的边上．如图3-5，延长ED、FG分别交AB、AC于点K、M，过点K作KN∥DG，交FM于点N．易得四边形EFNK是平行四边形，从而问题转化为图3-4 的情形，则T=S□DEFG≤S□EFNK≤1 2 S第四种情形：如果剪得的平行四边形没有顶点在三角形的边上时，如图3-6，延长ED、FG分别交AB、AC于点K、M，过点K作KN∥DG，交FM于点N．易得四边形EFNK 是平行四边形，从而问题转化为图3-5的情形，则T=S□DEFG≤S□EFNK≤12 S．综上，对任意剪得的□DEFG，T≤12S成立．…………………18分图3-3AB CDE FGM NKL图3-4AB CDEFGK MN图3-5AB CDEFGKMNAB CDEFG图3-6KMN。

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亚太杯初赛试题
篇一：亚太杯部分真题详解
用数字0、1、2组成的小于201X的四位数中，有多少个7的倍数。

【解析】方法一：根据被7整除的数的判断方法，末三位减去第一位应该是7的
1001、倍数，设四位数为abcd，所以7|bcd?a，经计算不难得到共有4个：
1022、 1120、1211。

方法二：用数字0、1、2，所以我们想到用三进制，我们来证明
(abcd)3?(abcd)10(mod 7)，显然
(abcd)10?a?103?b?102?c?10?d?a?(10?7)3?b?(10?7)2?c?(10?7)?d?a?33?b?32? c?3?d?(abcd)3(mod 7)，那也就是说一个十进制数(abcd)10能被7整除，那么三进制数(abcd)3也能被7整除。

而在1000?201X中，因为(1000)3?27，而(而在27?54中能被7201X)354?，
整除的数有28、35、42、49共4个。

所以共有4个7的倍数。

如图，在四边形ABCD中，DA?DB?DC,A、C两点分别在直线BD两
侧。

?DAB??BDC?1800，AB?CD?BC，则?DBC
【解析】旋转三角形ABD，使A与D重合，D与B重合，由于DB?DC，所以
?DBC??DCB，又BE?BD，所以?BED??BDE?2?DBC，又CE?DE?D?CB?AC?D，所
以?EBC??BEC?2?DBC，
00于是，?BEC??EBC??DCB?5?DBC?180??DBC?36
在圆上A、B、C、D四个位置填上4个数2，0，1，2（如图甲），如果进行这样的操作：每次选一个位置上的数加1，那么最少需要3次操作能达到四个位置上的数相同，操作方法有3种（C位?1，B位两次?1；B位两次?1，C位?1；和B位?1，C位?1，B位再?1）。

现在如图乙，从2，0，1，3开始，将操作方法变为每次将三个位置上的数同时加1，则在操作次数最少时，共有种操作方法使之达到四个位置上的数相等。

【解析】将三个位置上的数同时加1，相当于将剩下的一个位置上的数减1，于
是，要将 2、0、1、3这四个数变为相等的4个数，至少要操作6次，其中A 位有2次不变、C位有1次不变、D位有3次不变。

这6次操作共
123有C6?C5?C3?60种排列方法，即共有60种不同的操作方法。

图示一个由25个点组成的正方阵。

假设在正方阵里附加一个圆形，试求该圆形所能经过
1、图示由一个长方形ABCD切割而成的两个全等形能重组成一个正方形。

若AB边与BC边长度的比是 a:b。

试求出a?b的最小值。

2x?a?x?x?【解析】 a2b，a?b??a:b?9:4，所以a?b最小值为3329?4?13。

2、图示一个中心位于O的正方形，边长100cm。

已知阴影部分占总面积的五
分之一，DE?88cm及BF?xcm，试求出x的值。

【解析】阴影部分的面积为100?100?5?201X，所以
?100?x??50?2?12?50?2?201X?x?32
3、一个以O为圆心的圆上有A，B及C三个点。

D点为AO与BC两线延长的汇点。

已知OA=CD，ADB角=28及AOB角=X，试求出的x值。

【解析】本题利用等腰三角形的性质，x?
840
篇二：考试需知1亚太杯初赛考试使用答题纸
考试需知1亚太杯初赛考试使用答题纸。

用笔有要求，请带好水笔和圆珠笔。

考试时间提醒：201X年12月21日；四、五年级：18:30-20:00。

2中环杯初赛无答题纸，请(来自: : 亚太杯初赛试题 )将答案直接解答在试卷上。