第十二届华杯赛决赛试题及解答

华杯赛决赛试题及答案题一：现代通信技术的发展与应用一、背景介绍随着科技的飞速发展，现代通信技术已经成为人们生活中不可或缺的一部分。

它的高效便捷为社会经济的发展带来了许多积极影响，同时也带来了新的挑战。

本文将讨论现代通信技术的发展和应用，并探讨其在不同领域中的影响和前景。

二、通信技术的发展历程1. 传统通信技术的发展2. 数字通信技术的兴起3. 移动通信技术的突破三、通信技术在商业领域中的应用1. 电子商务的兴起与发展2. 移动支付的普及3. 大数据和云计算的应用四、通信技术在交通领域中的应用1. 智能交通系统的建设2. 自动驾驶技术的推广3. 无人机在物流领域中的应用五、通信技术在医疗领域中的应用1. 远程医疗的实现2. 人工智能在医疗诊断中的应用3. 医疗信息化的普及六、通信技术的发展前景与挑战1. 5G时代的到来2. 物联网的快速发展3. 数据安全和隐私保护的考量七、总结与展望现代通信技术的发展和应用为人们的生活带来了巨大的便利，也为社会经济发展带来了新的活力。

然而，在享受其便利的同时，我们也要注意数据安全和个人隐私的保护。

未来，随着5G时代和物联网的广泛应用，通信技术将会走向更高的发展峰值，给各个行业带来更多可能性。

题二：人工智能在教育领域的应用及影响一、背景介绍随着人工智能技术的迅猛发展，它在各个领域中的应用已经取得了长足进步。

其中，教育领域也不例外。

人工智能技术在教育中的应用不仅提供了更加个性化的学习方式，还改变了传统教学模式，为教育事业带来了巨大的变革。

本文将重点讨论人工智能技术在教育领域中的应用及其带来的影响。

二、人工智能在教育领域中的应用1. 个性化学习的实现2. 智能辅助教学工具的发展3. 智能评估和反馈系统的应用三、人工智能对传统教学模式的改变1. 传统教学模式的弊端2. 人工智能技术对教师角色的改变3. 学生学习能力的提升四、人工智能在高等教育中的应用1. 虚拟教室和在线学位的兴起2. MOOC课程的普及3. AI辅助科研和论文撰写五、人工智能教育的挑战与发展1. 数据隐私和安全保护2. 教师素质和技能的提升3. 教育公平和普惠性的保障六、总结与展望人工智能技术的应用为教育领域带来了许多新的机遇和挑战。

第一届华杯赛决赛一试试题1. 计算：2．975×935×972×（）,要使那个连乘积的最后四个数字都是“0”，在括号内最小应填什么数？3．把＋、－、×、÷别离填在适当的圆圈中，并在长方形中填上适当的整数，能够使下面的两个等式都成立，这时，长方形中的数是几？9 ○ 13 ○ 7 = 10014 ○ 2 ○ 5 = □4．一条1米长的纸条，在距离一端0.618米的地址有一个红点，把纸条对折起来，在对准红点的地址涂上一个黄点然后打开纸条从红点的地址把纸条剪断，再把有黄点的一段对折起来，在对准黄点的地址剪一刀，使纸条断成三段，问四段纸条中最短的一段长度是多少米？5．从一个正方形木板锯下宽为米的一个木条以后，剩下的面积是平方米，问锯下的木条面积是多少平方米？6．一个数是5个2，3个3，2个5，1个7的连乘积。

那个数固然有许多约数是两位数，这些两位的约数中，最大的是几？7．修改31743的某一个数字，能够取得823的倍数，问修改后的那个数是几？8．蓄水池有甲、丙两条进水管，和乙、丁两条排水管，要灌满一池水，单开甲管需3小时，单开丙管需要5小时，要排光一池水，单开乙管需要4小时，单开丁管需要6小时，此刻池内有池水，若是按甲、乙、丙、丁的顺序，循环各开水管，天天每管开一小时，问多少时刻后水清苦始溢出水池？9．一小和二小有一样多的同窗参加金杯赛，学校用汽车把学生送往考场，一小用的汽车，每车坐15人，二小用的汽车，每车坐13人，结果二小比一小要多派一辆汽车，后来每校各增加一个人参加竞赛，如此两校需要的汽车就一样多了，最后又决定每校再各增加一个人参加竞赛，二小又要比一小多派一辆汽车，问最后两校共有多少人参加竞赛？10．如右图，四个小三角形的极点处有六个圆圈。

若是在这些圆圈中别离填上六个质数，它们的和是20，而且每一个小三角形三个极点上的数之和相等。

问这六个质数的积是多少？11．假设干个一样的盒子排成一排，小明把五十多个一样的棋子分装在盒中，其中只有一个盒子没有装棋子，然后他外出了，小光从每一个有棋子的盒子里各拿一个棋子放在空盒内，再把盒子从头排了一下，小明回来认真查看了一番，没有发觉有人动过这些盒子和棋子，问共有多少个盒子？12．如右图，把，, , , ，别离填在五个○内，再在每一个□中填上和它相连的三个○中的数的平均值，再把三个□中的数的平均值填在△中，找出一个填法，使△中的数尽可能小，那么△中填的数是多少？13．如以下图，甲、乙、丙是三个站，乙站到甲、丙两站的距离相等。

第十二届 “华杯赛”浙江赛区决赛复试试题（初一年级组）一、填空题（每题10分，共80分）1、已知a ，b 互为相反数，c ，d 互为负倒数，x 的绝对值等于它的相反数的2倍，则bcd a abcdx x -++3的值是 。

2、设012=-+m m ，则2007223++m m = 。

3、已知1=a ，2=b ，3=c ，且a ＞b ＞c ，则c b a +-＝ 。

4、设多项式M d cx bx ax =+++35，已知当0=x 时，5-=M ，当3-=x 时，7=M ，则当3=x 时，=M _________ 。

5、已知矩形ABCD 中，AB ＝3，BC ＝4，将矩形折叠，使点C 与点A 重合，则折痕EF 的长为 。

6、如果对于任意两个实数a 、b ，“*”为一种运算，定义为b a b a 2+=*，则函数42)2(2*+*=x x y )33(≤≤-x 的最大值与最小值的和为 。

7、如图，一个面积为50平方厘米的正方形与另一个小正方形并排放在一下起，则△ABC 的面积是 平方厘米。

8、一个正整数，若分别加上100与168，则可得到两个完全平方数。

则这个正整数为 。

二、简答下列各题（每题10分，共40分，要求写出简要过程）9、三个互不相等的有理数，既可以表示为1，b a +，a 的形式，也可以表示为0，ab，b 的形式，试求20012000b a +的值。

10、如果把一个六位数的个位数移到最前面的十万位上，把其他各位的数字依次向后移一位，得到一个新的六位数，如果新数是原数的5倍，那么原来的六位数是多少？11、如图，ABC=∠10OAB，∆内一点，︒ACB，O为ABC∆中，AC=BC=5，︒=∠80OBA，则线段AO的长是多少？∠30︒=12、在一个三位数的百位数字与十位数字之间插入0，1，2，…，9中的一个数码得到的四位数恰是原三位数的9倍，求这样的三位数中最小的数与最大的数分别是多少？三、详答下列各题（每题15分，共30分，要求写出详细过程）13、五个整数a、b、c、d、e，它们两两相加的和按从小到大顺序排分别是183，186，187，190，191，192，193，194，196，x。

华杯赛决赛试题及答案一、选择题（每题5分，共20分）1. 若一个数的平方根是a，则这个数是：A. a^2B. -a^2C. |a|D. a^32. 一个等差数列的前三项分别为2，5，8，则此数列的通项公式为：A. 3n - 1B. 3n - 2C. 3n + 2D. 3n - 33. 对于函数f(x) = ax^2 + bx + c，若a < 0，b > 0，则f(x)的图像可能是：A. 一个开口向上的抛物线B. 一个开口向下的抛物线C. 一个开口向上的双曲线D. 一个开口向下的双曲线4. 一个圆的半径为r，圆心到直线的距离为d，若圆与直线相交，则：A. d > rB. d < rC. d = rD. d ≤ r答案：1. A2. B3. B4. B二、填空题（每题5分，共10分）1. 一个圆的周长为2π，那么它的面积是______。

2. 如果一个三角形的两边长分别为3和4，夹角为60度，那么第三边的长度是______。

答案：1. π2. √13三、解答题（每题15分，共30分）1. 证明：若一个三角形的两边长分别为a和b，且满足a^2 + b^2 = c^2，则这个三角形是直角三角形。

2. 解方程组：\[\begin{cases}x + y = 5 \\2x + 3y = 11\end{cases}\]答案：1. 证明：根据勾股定理的逆定理，如果三角形的两边的平方和等于第三边的平方，那么这个三角形是直角三角形。

设三角形ABC，其中AB=a，BC=b，AC=c。

根据题目条件，有a^2 + b^2 = c^2。

根据勾股定理的逆定理，可以得出∠C=90°，即三角形ABC是直角三角形。

2. 解：将第一个方程乘以2得到2x + 2y = 10。

然后用这个新方程减去第二个方程，得到y = 1。

将y = 1代入第一个方程，得到x + 1 = 5，解得x = 4。

因此，方程组的解为x = 4，y = 1。

第十二届 “华杯赛”浙江赛区复赛试题（六年级组）一、填空题（每题10分，共80分） 1、=⨯÷⎪⎭⎫⎝⎛++1919989898199800980019001900980980190190989898191919 . 2、规定“※”为一种运算，对任意两数a ，b ，有a ※b 32ba +=，假设6※x 322=，那么x = . 3、某仓库内有一批货物，如果用3辆大卡车，4天能够运完；若是用4辆小卡车，5天能够运完；若是用20辆板车，6天能够运完．此刻先用2辆大卡车，3辆小卡车和7辆板车一起运2天后，全数改用板车运，必需在两天内运完，那么后两天天天至少需要__________辆板车．4、甲、乙两包糖的重量比是4:1，若是从甲包掏出10克放入乙包后，甲、乙两包糖的重量比变成7:8，那么两包糖重量的总和是___________克．5、用甲、乙两种糖配成什锦糖，若是用3份甲种糖和2份乙种糖配成的什锦糖，比用2份甲种糖和3份乙种糖配成的什锦糖每千克贵元，那么1千克甲种糖比1千克乙种糖贵 元．6、乘火车从甲城到乙城，1998年初需要小时，1998年火车第一次提速30％，1999年第二次提速25％，2000年第三次提速20％．通过这三次提速后，从甲城到乙城乘火车只需__________小时．7、一本书的页码是持续的自然数，1，2，3，…，当将这些页码加起来的时候，某个页码被加了两次，取得不正确的结果1997，那么那个被加了两次的页码是________．8、将3210323232个⨯⨯⨯的乘积写成小数时的前两位小数是 .二、解答题（共70分，要求写出解答进程）九、1978年，有个人在介绍自己的家庭时说：“我有一儿一女，他们不是双胞胎，儿子年龄的立方加上女儿年龄的平方，正好是我的诞生年，我是在1900年以后诞生的．我的儿女都不满21岁．我比我妻子大8岁．”请求出1978年这一家每一个人的年龄．（此题15分）10、如以下图A、B、C、D四个小盘拼成了一个环形，每只小盘中放假设干糖果．每次可取其中的1只、3只、或4只盘中的全数糖果，也可掏出2只相邻盘中的全数糖果．如此掏出的糖果数量最多有几种？请说明理由．（此题15分）1一、甲乙两个数的和是888888，甲数万位与十位上的数字都是2，乙数万位与十位上的数字都是6．若是甲数与乙数万位上的数字与十位上的数字都换成零，那么甲数是乙数的3倍．那么甲数是多少？乙数是多少？（此题20分）1二、唐老鸭与米老鼠进行一万米赛跑，米老鼠的速度是每分钟125米，唐老鸭的速度是每分钟100米．唐老鸭手中把握着一种迫使米老鼠倒退的电子遥控器，通过这种遥控器发出第n次指令，米老鼠就以原速度的n 10%倒退一分钟，然后再按原先的速度继续前进，若是唐老鸭想在竞赛中获胜，那么它通过遥控器发出指令的次数至少应是多少次? （此题20分）第十二届 “华杯赛”浙江赛区复赛试题（六年级组） 参考答案一、填空（每题10分，共80分）注：第8题，每空5分．部份答案提示：1. 解：原式101191019898191000198001000119001001980100119010101981010119⨯⨯⨯÷⎪⎭⎫ ⎝⎛⨯⨯+⨯⨯+⨯⨯= 19981998981998199819⨯⨯⎪⎭⎫ ⎝⎛++= 19915192941998199898193==⨯⨯⨯=.2. 解：依题意，6※326x x +=，因此322326=+x ，因此x=8．3. 解：能够将这批货物的总量设为1，那么有：一辆大卡车，天天能够运121431=⨯；一辆小卡车，天天能够运201541=⨯；一辆板车，天天能够运12016201=⨯． 全数改用板车后，剩余工作量为：412)1201720131212(1=⨯⨯+⨯+⨯-要想两天运完，需板车151201241=÷÷(辆)．4. 解：设甲包糖重x 4克，乙包糖重x 克，那么8:7)10(:)104(=+-x x 解得6=x ，共重305=x (克)．5. 解：因用第一种方式配成的1千克什锦糖中甲种糖占53千克，乙种糖占52千克；用第二种方式配成的1千克什锦糖中甲种糖占52千克，乙种糖占53千克，故51千克甲种糖比51千克乙种糖贵元．故1千克甲种糖比1千克乙种糖贵×5 = (元)．6. 解：依照题意，当距离一按时，速度和时刻成反比例． ÷(1+30%)÷(1+25%)÷(1+20%)=101201001251001301005.19=⨯⨯⨯(小时) 答：从甲城到乙城乘火车只需10小时．7. 解：这本书的页码是从1到n 的自然数，和是2)1(21+=+++n n n ，错加的页码在1和n 之间，即1997应在12)1(++n n 与n n n ++2)1(之间． 当n ＝61时和为1891，199719526118912)1(<=+=++n n n ，不合题意；当n =62时，和为1953，20152)1(,195412)1(=++=++n n n n n ，1997恰在其间；当n =63时，和为2016，2016>1997，不合题意。

第十二届 “华杯赛”浙江赛区复赛试题（四年级组） 一、填空题（每题10分，共80分） 1、规定x △y =5xy +3x +ay ，其中a 为常数．比如9△4=5×9×4+3×9+4a =207+4a ．当a 取___________时，对任何数x 和y ，有x △y =y △x ． 2、编号为1―9的九个盒子中共放有351粒米，已知每个盒子都比前一号盒子多相同粒米．如果1号盒内放了11粒米，那么后面的盒子比它前一号的盒子多放__________粒米。

3、有一个号码是六位数，前四位是2857，后两位记不清，即2857□□．但是我记得，它能被11和13整除，那么这个号码是_________． 4、一种钢轨，4根共重1900千克，现在有95000千克钢，可以制造这种钢轨 根．（损耗忽略不计） 5、5个数写成一排，前3个数的平均值是15，后两个的数的平均值是10，这五个数的平均值是__________． 6、工人铺一条路基，若每天铺260米，铺完全路长就得比原计划延长8天；若每天铺300米，铺完全路长仍要比原计划延长4天，这条路长_________米． 7、A 、B 、C 、D 四个同学猜测他们之中谁被评为三好学生． A 说：“如果我被评上，那么B 也被评上．”B 说：“如果我被评上，那么C 也被评上．”C 说：“如果D 没评上，那么我也没评上．”实际上他们之中只有一个没被评上，并且A 、B 、C 说的都是正确的．则没被评上三好学生的是 。

8、如图１，一共有 个三角形． 二、解答题（每题10分，共40分，要求写出解答过程） 9、甲、乙两港的航程有500千米，上午10点一艘货船从甲港开往乙港（顺流而下），下午2点一艘客船从乙港开往甲港．客船开出12小时与货船相遇．已知货船每小时行15千米，水流速度每小时5千米，客船每小时行多少千米？ （本题15分）10、一列客车以每小时40千米的速度在9时由甲城开往乙城，一列快车以每小时58千米的速度在11时也由甲城开往乙城，为了行驶安全，列车间的距离不应小于8千米，那么客车最晚应在什么时候停车让快车错过？（本题15分）11、甲、乙两车分别从A、B两站同时相向开出，已知甲车速度是乙车速度的2倍，甲、乙到达途中C站的时刻依次为5∶00和17∶00，这两车相遇是什么时刻？（本题20分）12、一个正方体木块放在桌子上，每一面都有一个数，位于对面两个数的和都等于13，小张能看到顶面和两个侧面，看到的三个数和为18；小李能看到顶面和另外两个侧面，看到的三个数的和为24，那么贴着桌子的这一面的数是多少？（本题20分）第十二届 “华杯赛”浙江赛区复赛试题（四年级组） 参考答案一、 填空（每题10分，共80分）．填空题参考详解：1. 3解：如果对任何数x 和y ，有x y y x ∆=∆，代入算式，得ax y yx ay x xy ++=++3535化简，得0))(3(=--y x a ，由于对任何数x 和y ，都有上式成立，所以03=-a ，即3=a ，所以，当3=a 时，对任何数x 和y ，有x y y x ∆=∆．2. 7解：这是一个等差数列问题，已知项数n =9，首项a 1=11，S 9=351，求公差d ， ∵S 9=(a 1+a 9)×9÷2∴a 9=2S 9÷9-a 1=2×351÷9-11=67d =(a 9-a 1)÷(9-1) =(67-11)÷8=7∴后面的盒子比它前一号的盒子多放7粒米．3. 285714解：285700÷(11×13)=1997余129．余数129再加14就能被143整除，故后两位数是14．4. 200解：以一根钢轨的重量为单一量．（1）一根钢轨重多少千克？ 1900÷4 = 475（千克）．（2）95000千克能制造多少根钢轨？ 95000÷475 = 200（根）．95000÷(1900÷4) = 200（根）．答：可以制造200根钢轨．5. 13解：(3⨯15+2⨯10)÷(3+2)=13．6. 7800解：260×8-300×4=880(米)；880÷(300-260)=22(天)；260×(22+8)=7800(米)．7. A解：由C 说可推出D 必被评上，否则如果D 没评上，则C 也没评上，与“只有一人没有评上”矛盾．再由A 、B 所说可知：假设A 被评上，则B 被评上，由B 被评上，则C 被评上．这样四人全被评上，矛盾．因此A 没有评上三好学生．8. 35∆相同的三角形共有5个；解：Ⅰ．与ABE∆相同的三角形共有10个；Ⅱ．与ABP∆相同的三角形共有5个；Ⅲ．与ABF∆相同的三角形共有5个；Ⅳ．与AFP∆相同的三角形共有5个；Ⅴ．与ACD∆相同的三角形共有5个．Ⅵ．与AGD所以图中共有三角形为5+10+5+5+5+5=35(个)．二．解答题（9、10题各15分；11、12题各20分，共70分。

华杯赛决赛试题及答案一、选择题1. 下列哪个选项是正确的？A. 地球是平的B. 地球是圆的C. 地球是三角形的D. 地球是正方形的答案：B2. 以下哪个数字是最小的质数？A. 2B. 3C. 4D. 5答案：A3. 以下哪个选项是正确的？A. 2 + 2 = 5B. 3 - 1 = 1C. 4 * 2 = 6D. 5 / 2 = 2答案：C二、填空题1. 请写出圆的面积公式：__________。

答案：πr²2. 请写出勾股定理的公式：__________。

答案：a² + b² = c²3. 请写出牛顿第二定律的公式：__________。

答案：F = ma三、解答题1. 已知一个直角三角形，两条直角边的长度分别为3和4，求斜边的长度。

答案：斜边长度为5，因为根据勾股定理，3² + 4² = 5²。

2. 一个数列的前三项为2, 4, 6，每一项都是前一项加上2，求第10项的值。

答案：第10项的值为20，因为每一项都是前一项加上2，所以第10项的计算方式为2 + (10-1)*2 = 20。

3. 一个水池，打开水龙头后，每分钟流入水池的水量是固定的，如果单独打开一个水龙头，需要1小时才能将水池填满，如果同时打开两个水龙头，需要40分钟才能将水池填满。

请问，如果同时打开三个水龙头，需要多少时间才能将水池填满？答案：需要24分钟。

设水池的容量为C，单个水龙头每分钟的进水量为x，则有C = 60x。

两个水龙头同时打开时，每分钟的进水量为2x，所以C = 40 * 2x。

由此可得，x = C / 60。

三个水龙头同时打开时，每分钟的进水量为3x，所以需要的时间t = C / (3x) = 60 / 3 = 20分钟。

Lesson73 The way to King StreetLast week Mrs. Mills went to London. She does not know London very well, and she lost her way.Suddenly, she saw a man near a bus-shop. “ I can ask him the way.” She said to herself.“Excuse me,” she said.“Can you tell me the way to King Street please”The man smiled pleasantly. He did not understand English! He spoke German. He was a tourist.Then he put his hand into his pocket, and took out a phrase-book.He opened the book and found a phrase. He read the phrase slowly.“I am sorry,” he said. “ I do not speak English.”Lesson 75 Uncomfortable shoesLADY : Have you any shoes like theseSALESMAN: What sizeLady: Size five.Salesman: What colourLady: Black.Salesman: I’m sorry. We haven’t any.Lady: But my sister bought this pair last month.Salesman: Did she buy them hereLady: No, she bought them in the .Salesman: We had some shoes like those a month ago, but we haven’t any now. Lady: Can you get a pair for me pleaseSalesman: I’m afraid that I can’t. They were in fashion last year and the year before last.But they’re not in fashion this year.Salesman: These shoes are in fashion now.Lady: They look very uncomfortable.Salesman: They are very uncomfortable. But women always wear uncomfortable shoes!Lesson77 Terrible toothacheNurse: Good morning, Mr. Croft.Mr. Croft: Good morning, nurse. I want to see the dentist, please.Nurse: Have you an appointment（有预约吗）Mr. Croft: No, I haven’t .Nurse: Is it urgentMr. Croft: Yes, it is . It’s very urgent. I feel awful. I have a terrible toothache. Nurse: Can you come at 10 am on Monday, April 24thMr. Croft: I must see the dentist now, nurse.Nurse: The dentist is very busy at the moment. Can you come at 2:00 PM Mr. Croft: Tha t’s very late. Can’t the dentist see me nowNurse: I’m afraid that he can’t , Mr. Croft. Can’t you wait till this afternoon Mr. Croft: I can wait, but my toothache can’t !Lesson79 Peggy’s shopping-listTom: What are you doing, PeggyPeggy: I’m making a shopping-list, Tom.Tom: What do we needPeggy: We need a lot of things this week.Peggy: I must go to the grocer’s. We haven’t got much tea or coffee, and we haven’t got any sugar or jam.Tom: What about vegetablesPeggy: I must go to the greengrocer’s. We haven’t got many tomatoes, but we’ve got a lot of potatoes.Peggy: I must go to the butche r’s, too. We need some meat. We haven’t got any meat at all.Tom: Have we got any beer and winePeggy: No, we haven’t. And I’m not going to get any!Tom: I hope that you’ve got some money.Peggy: I haven’t got much.Tom: Well, I haven’t got much either!Lesson81 Roast beef and potato.John: Hullo, Peggy! Where’s TomPeggy: He’s upstairs. He’s having a bath.Peggy: Tom!Tom: YesPeggy: John’s here.Tom: I’m nearly ready.Tom: Hullo, John. Have a cigarette.John: No thanks, Tom.Tom: Have a glass of whisky then.John: . Thanks.Tom: Is dinner ready, PeggyPeggy: It’s nearly ready. We can have dinner at seven o’clock.Tom: John and I had lunch together today. We went to a restaurant.Peggy: What did you haveTom: We had roast beef and potatoes.Peggy: Oh!Tom: Wha t’s the matter, PeggyPeggy: Well, you’re going to have roast beef and potatoes again tonight!Lesson83 Going on a holidayPeggy: Hullo, John. Come in.Tom: Hullo, John. We’re having lunch. Do you want to have lunch with usJohn: No thank you, Tom. I’ve already had lunch. I had lunch at half past twelve. Peggy: Have a cup of coffee then.John: I’ve just had a cup, thank you. I had one after my lunch.Tom: Let’s go into the living-room, Peggy. We can have our coffee there. Peggy: Excuse the mess, John. This room’s very untidy. We’re packing our suitcases.We’re going to leave tomorrow. Tom and I are going to have a holiday. John: Aren’t you lucky!Tom: When are you going to have a holiday, JohnJohn: I don’t know. I’ve already had my holiday this year.Peggy: Where did you goJohn: I stayed at home!Lesson85 Paris in the SpringGeorge: Hullo, Ken.Ken: Hullo, George.George: Have you just been to the cinemaKen: Yes, I have.George: What’s onKen: “Paris in the Spring”.George: Oh, I’ve already seen it. I saw it on a television programme last year. It’s an old film, but it’s very good.Ken: Paris is a beautiful city.George: I have never been there. Have you ever been there, KenKen: Yes, I have. I was there in April.George: Paris in the spring, ehKen: It was spring, but the weather was awful. It rained all the time. George: Just like dear old London!Lesson87 A car crashMr. Wood: Is my car ready yetAttendant: I don’t know, sir. What’s the license number of your carMr. Wood: I t’s LFZ 312 G.Attendant: When did you bring it to usMr. Wood: I bought it hear three days ago.Attendant: Ah yes, I remember now.Mr. Wood: Have your mechanics finished yetAttendant: No, they’re still working on it. Let’s go into the garage and have a look at it.Attendant: Isn’t that your carMr. Wood: Well, it was my car.Attendant: Didn’t your wife have a crashMr. Wood: Tha t’s right. She drove it into a lamp post（电线杆）. Can your mechanics repair itAttendant: Well, they’re trying to repair it, sir. But to tell you the truth, you need a new car.Lesson89 For saleMr. Hill: Good afternoon. I believe that this house is for sale（待售）.Mr. West: Tha t’s right.Mr. Hill: May I have a look at it pleaseMr. West: Yes, of course. Come in.Mr. Hill: How long have you lived hereMr. West: I have lived here for twenty years.Mr. Hill: Twenty years! Tha t’s a long time.Mr. West: Yes, I have been here since 1947.Mr. Hill: Then why do you want to sell itMr. West: Because I have just retired. I want to buy a small house in the country.Mr. Hill: How much does this house costMr. West: £6850.Mr. Hill: That’s a lot of money!Mr. West: It’s worth every penny of it.Mr. Hill: Well, I like the house, but I can’t decide yet. My wife must see it first. Mr. West: Women always have the last word.Lesson91 Poor WestMrs. Smith: Has Mr. West sold his house yetMrs. Brown: Yes, he has. He sold it last week.Mrs. Smith: Has he moved to his new house yetMrs. Brown: No, not yet. He’s still here. He’s going to move tomorrow.Mrs. Smith: When Tomorrow morningMrs. Brown: No. Tomorrow afternoon. I’ll miss him. He has always been a good neighbour.Mrs. Green: He’s a very nice person. We shall all miss him.Mrs. Smith; When will the new people move into this houseMrs. Brown: I think that they will move in the day after tomorrow.Mrs. Green: Will you see Mr. West today, Mrs. BrownMrs. Brown: Yes, I will.Mrs. Green: Please give him my regards. （give one’s regards to sb.向sb.问候）Mr. Smith: Poor Mr. West! He didn’t want to leave this house.Mrs. Brown: No, he didn’t want to leave, but his wife did!Lesson93 Our new neighborMr. Hill is our new next-door neighbour. He’s a pilot.He was in the 皇家空军)He will fly to New York next month.The month after next he will fly to Tokyo.At the moment（现在）, he’s in Madrid. He flew to Spain a week ago.He will return to London the week after next.He’s only forty-one years old, and he has already been to nearly every country in the world.Mr. Hill is a very lucky man. But his wife is n’t very lucky. She usually stays at home!Lesson95 Ticket, please.George: Two return tickets to London please. What time will the next train leave Attendant: At nineteen minutes past eight.George: Which platformAttendant: Platform Two. Over the bridge.Ken: What time will the next train leaveGeorge: At eight nineteen.Ken: We’ve got plenty of time.George: It’s only three minutes to eight.Ken: Let’s go and have a drink. There’s a bar next door to the station. George: We had better go back to the station now, Ken.Porter: Tickets please.George: We want to catch the eight nineteen to London.Porter: You’ve just missed it!George: What! It’s only eight fifteen.Porter: I’m sorry, sir. That clock’s ten minutes slow.George: When’s the next trainPorter: In five hour s’ time!Lesson97 A small blue caseMr. Hall: I left a suitcase on the train to London the other day. Attendant: Can you describe it, sirMr. Hall: It’s a small blue case and it’s got a zip. Ther e’s a label on the handle with my name and address on it.Attendant: Is this case yoursMr. Hall: No, that’s not mine.Attendant: What about this one This one’s got a label.Mr. Hall: Let me see it.Attendant: What’s you name and addressMr. Hall: David Hall,83, Bridge Street.Attendant: That’s right.Street.Attendant: Three pound and fifty pence please.Mr. Hall: Here you are.Attendant: Thank you.Mr. Hall: Hey!Attendant: What’s the matterMr. Hall: This case doesn’t belong to me! You’ve given me the wrong case!Lesson99 Ow!Ted : Ow!Pat: What’s the matter, TedTed: I slipped and fell downstairs.Pat: Have you hurt yourselfTed: Yes, I have. I think that I’ve hurt my back.Pat: Try and stand up. Can you stand upHere. Let me help you.Ted: I’m sorry, Pat. I’m afraid that I can’t get up.Pat: I think that the doctor had better see you. I’ll telephone Dr Carter. Pat: The doctor says that he will come at once. I’m sure that you need anX-ray, Ted.Lesson101 A card from JimmyGrandmother: Read Jimmy’s card to me please, Mary.Mary: “I have just arrived in Scotland and I’m staying at a Youth Hostel.”Grandmother: EhMary: He says he’s just arrived in Scotland. He says he’s staying at a Youth Hostel.You know he’s a member of the The whatMary: The mother. The Youth Hostel’s Association.Grandmother: What else does he sayMary: “I’ll write a letter soon. I hope you are all well.”Grandmother: What Speak up, Mary. I’m afraid I can’t hear you.Mary: He says he’ll write a letter soon. He hopes we are all well. “ Love, Jimmy.”Grandmother: Is that all He doesn’t say very much, does heMary: He can’t write very much on a card, mother.Lesson103 The Intelligence testHarry: How was the examination, DickDick: Not too bad. I think I passed in English and Mathematics. The questions were very easy. How about you, HarryHarry: The English and Maths papers weren’t easy enough for me. I hope I haven’t failed.Dick: I think I failed the Intelligence Test. I could answer sixteen of the questions.They were very easy. But I couldn't answer the rest. They were too difficult for me.Harry: Intelligence tests are awful, aren’t theyDick: I hate them. I’m sure I’ve got a low .Harry: Oh, cheer up（振作点）! Perhaps we didn’t do too badly.The guy next to me wrote his name at the top of the paper.Dick: YesHarry: Then he sat there and looked at it for three hours! He didn’t write a word!Lesson105 Hello, Mr. boss.The Boss: Where’s Miss Simpson, Bob I want her.Bob: Do you want to speak to her, sirThe Boss: Yes, I do. I want her to come to my office. Tell her to come at once. Miss Simpson: Did you want to see me, sirThe Boss: Ah, yes, Miss Simpson. How do you spell “ intelligent” Can you tell meMiss Simpson: I-N-T-E-L-L-I-G-E-N-T.The Boss: That’s right. You’ve typed it with only one “L”.This letter’s full of mistakes. I want you to type it again.Miss Simpson: Yes, I’ll do that. I’m sorry about that.The Boss: And here’s a little present for you.Miss Simpson: What is itThe Boss: It’s a dictionary. I hope it will help you.Lesson107 It’s too smallAssistant: Do you like this dress, madamLady: I like the colour very much. It’s a lovely dress, but it’s too small for me. Assistant: What about this one It’s a lovely dress. It’s very smart.Short skirts are in fashion now. Would you like to try itLady: All right.Lady: I’m afraid this green dress is too small for me as well.It’s smaller than the blue one.Lady: I don’t like the colour either.It doesn’t suit me at all. I think the blue dress is prettier.Lady: Could you show me another blue dressI want a dress like that one, but it must be my size.Assistant: I’m afraid I haven’t got a larger dress. This is the largest dress in the shop.Lesson109 A good ideaBetty: Shall I make some coffee, JaneJane: That’s a good idea, Betty.Betty: It’s ready. Do you want any milkJane: Just a little please.Betty: What about some sugar Two teaspoonfulsJane: No, less than that. One and a half teaspoonfuls please. That’s enough for me.Jane: That was very nice.Betty: Would you like some moreJane: Yes, please.Jane: I’d like a cigarette, too. May I have oneBetty: Of course. I think there are a few in that box.Jane: I’m afraid it’s empty.Betty: What a pity!（真遗憾）Jane: It doesn’t matter.Betty: Have a biscuit instead. Eat more and smoke less!Jane: That’s very good advice!Lesson111 The most expensive modelMr. Frith: I like this record-player very much. How much does it cost please Assistant: It’s the most expensive model in the shop. It costs sixty-four pounds. Mrs. Frith: That’s too expensive for us. We can’t afford all that money. Assistant: This model’s less expensive than that one. It’s only twenty-eight pounds.But, of course, it’s not as good as the expensive one.Mr. Frith: I don’t like this model.The other model’s more expensive, but it’s worth the money.Mr. Frith: Can we buy it on installments(分期付款)Assistant: Of course. You can pay a deposit（保证金）of ten pounds, and then one pound a week for sixty weeks.Mr. Frith: Do you like it, dearMrs. Frith: I certainly do, but I don’t like the price.You always want the best, but we can’t afford it.Sometimes you think you’re a millionaire!Mr. Frith: Millionaires don’t buy things on installments !Lesson113 small changeConductor: Fares please!Man: Trafalgar Square please.Conductor: I’m sorry, sir. I can’t change a pound note. Haven’t you got any small changeMan: I’ve got no small change, I’m afraid.Conductor: I’ll ask some of the passengers.Conductor: Have you any small change, sir1st Passenger: I’m sorry. I’ve got none.2nd Passenger: I haven’t got any either.Conductor: Can you change this pound note, madam3rd Passenger: I’m afraid I can’t.4th Passenger: Neither can I.Conductor: I’m very sorry, sir. You must get off the bus.None of our passengers can change this note. They’re all millionaires! Two Tramps: Except us, conductor.1st Tramp: I’ve got some small change.2nd Tramp: So have I.lesson115 Not ….Helen: Isn’t there anyone at homeJim: I’ll knock again, Helen. Everything’s very quiet. I’m sure there’s no one at home.Helen: But that’s impossible. Pat and Tom invited us to lunch. Look through the window.Helen: Can you see anythingJim: Nothing at all.Helen: Let’s try the back door.Jim: Look! Everyone’s in the garden.Pat: Hullo, Helen. Hullo, Jim.Tom: Everybody wants to have lunch in the garden. It’s nice and warm out here. Pat: Come and have something to drink.Jim: Thanks, Pat. May I have a glass of bear pleasePat: Beer There’s none left. You can have some lemonade. (柠檬水)Jim: Lemonade!Tom: Don't believe her, Jim. She’s only joking. Have some beer!Lesson117 Tommy’s breakfastWhen my husband was going into the dining-room this morning , he dropped some coins on the floor.There were coins everywhere. We looked for them, but we could not find them all. While we were having breakfast, our little boy, Tommy, found two small coins on the floor.He put them both into his mouth. We both tried to get the coins, but it was too late. Tommy had already swallowed them!Later that morning, when I was doing the housework, my husband telephoned me from the office.“How’s Tommy” he asked.“I don’t know,” I answered, “Tommy’s been to the lavatory three times this morning, but I haven’t had any change yet!”Lesson119 A true storyDo you like stories I want to tell you a true story. It happened to a friend of mine a year ago.While my friend, George, was reading in bed, two thieves climbed into his kitchen. After they had entered the house, they went into the dining-room. It was very dark, so they turned on a torch. Suddenly, they heard a voice behind them. “What’s up Wh at’s up”(什么事) someone called. The thieves dropped the torch and ran away as quickly as they could.George heard the noise and came downstairs quickly. He turned on the light, but he couldn’t see anyone. The thieves had already gone. But George’s parrot, Henry, was still there.“What’s up, George” he called.“Nothing, Henry,” George said and smiled.“Go back to sleep.”Lesson121 The man in the hatCustomer: I bought two expensive dictionaries here half an hour ago, but I forgot to take them with me.Manager: Who served you, sirCustomer: The lady who is standing behind the counter.Manager: Which books did you buyCustomer: The books which are on the counter.Manager: Did you serve this gentleman half an hour ago, Miss RobertsHe says he’s the man who bought these books.Miss Roberts: I can’t remember, sir. The man whom I served was wearing a hat. Manager: Have you got a hat, sirCustomer: Yes, I have.Manager: Would you put it on, pleaseCustomer: All right.Manager: Is this the man that you served, Miss RobertsMiss Roberts: Yes, sir. I recognize him now.Lesson123 A trip to AustraliaBill: Look, Bob. This is a photograph I took during my trip to Australia. Bob: Let me see it, Bill.Bob: This is a good photograph. Who are these peopleBill: They’re people I met during the trip.Bill: That’s the ship we traveled on.Bob: What a beautiful ship!Bob: Who’s thisBill: That’s the man I told you about. RememberBob: Ah yes. The one who offered you a job in Australia.Bill: That’s right.Bob: Who’s thisBill: Guess!Bob: It’s not you, is itBill: That’s right.Bill: I grew a beard during the trip, but I shaved it off when I came home. Bob: Why did you shave it offBill: My wife didn’t like it!Lesson125Susan: Can’t you come in and have tea now, PeterPeter: Not yet, dear. I must water the garden first.Susan: Do you have to water it nowPeter: I’m afraid I must. Look at it! It’s terribly dry.Susan: What a nuisance!（真讨厌）Peter: Last summer it was very dry, too. Don’t you remember I had to water it every day.Susan: Well, I’ll have tea by myself.Susan: That was quick! Have you finished alreadyPeter: Yes, dear. Look out of the window.Susan: Good heaven! It’s raining. That means you needn’t water the garden. Peter: That was a pleasant surprise. It means I can have tea, instead.Lesson127 A famous actressKate: Can you recognize that woman, MillieMillie: I think I can, Kate. It must be Karen Marsh, the actress.Kate: I thought so. Who’s that beside herMillie: That must be Conrad Reeves.Kate: Conrad Reeves, the actor It can’t be. Let me have another look.I think you’re right! Isn’t he her third husbandMillie: No, He must be her fourth or fifth.Kate: Doesn’t Karen Marsh look old!Millie: She does, doesn’t she! I read she’s twenty-nine, but she must be at least forty.Kate: I’m sure she is.Millie: She was a famous actress when I was still a schoolgirl.Kate: That was a long time ago, wasn’t itMillie: Not that long ago! I’m not more than twenty-nine myself.Lesson129 70 miles an hourAnn: Look, Harry! That policeman’s waving to you. He wants you to stop. Policeman: Where do you think you are On a race trackYou must have been driving at seventy miles an hour.Harry: I can’t have been.Policeman: I was doing eighty when I overtook you.Policeman: Didn’t you see the speed limitHarry: I’m afraid I didn’t, officer. I must have been dreaming .Ann: He wasn’t dreaming, officer. I was telling him to drive slowly. Harry: That’s why I didn’t see the sign.Policeman: Let me see your driving-license and your insurance certificate. Policeman: I won’t charge you this time. But you’d better not do it again! Harry: Thank you. I’ll certainly be more careful.Ann: I told you to drive slowly, Harry.Harry: You always tell me to drive slowly, darling.Ann: Well, next time you’d better take my advice!Lesson131 Don’t be so sureRoy: Where are you going to spend your holidays this year, Harry Harry: We may go abroad. I’m not sure. My wife wants to go to Egypt.I’d like to go there, too. We can’t make up our minds.Roy: Will you travel by sea or by airHarry: We may travel by sea.Roy: It’s cheaper, isn’t itHarry: It may be cheaper, but it takes a long time.Roy: I’m sure you will enjoy yourselves.Harry: Don’t be so sure. We may not go anywhere. My wife always worries too much.Who’s going to look after the dogWho’s going to look after the houseWho’s going to look after the gardenWe have this problem every year.In the end, we stay at home and look after everything!Lesson133 Sensational newsReporter: Have you just made a new film, Miss MarshMiss Marsh: Yes, I have.Reporter: Are you going to make anotherMiss Marsh: No, I’m not. I’m going to retire. I feel very tired.I don't want to make another film for a long time.Kate: let’s buy a newspaper, Millie.Listen to this!“ Karen Marsh: Sensational News!（轰动新闻）By our reporter, AlanJones. Miss Karen Marsh arrived at London Airport today. She waswearing a blue dress and a mink coat. She told me she had just made anew film. She said she was not going to make another. She said shewas going to retire. She told reporters she felt very tired and didn’twant to make another film for a long time.”Millie: Well, fancy that, Kate!Lesson135 The latest reportReporter: Are you really going to retire, Miss marshMiss Marsh: I may. I can’t make up my mind. I shall have to ask my future husband.He won’t let me make another film.Reporter: Your future husband, Miss MarshMiss Marsh: Yes. Let me introduce him to you. His name is Carlos.We are going to get married next week.Kate: Look, Millie! Here’s another report about Karen Marsh. Listen:“ Karen Marsh: The Latest. At her London Hotel today Miss Marsh toldreporters she might retire. She said she couldn’t make up her mind. Shesaid she would have to ask her future husband. She said her futurehusband would not let her make another film. Then she introduced usto Carlos and told us they would get married next week.”Millie: That’s sensational news, isn’t it, KateKate: It certainly is. He’ll be her sixth husband!Lesson137 A pleasant dreamJune: Are you doing the football pools(赌注), BrianBrian: Yes, I’ve nearly finished, June. I’m sure we will win something this week. June: You always say that, but we never win anything! What will you do if you win a lot of moneyBrian: If I win a lot of money , I shall buy you a mink coat.June: I don’t want a mink coat! I want to see the world.（见世面）Brian: All right. If we win a lot of money, we shall travel around the world and we shall stay at the best hotels. Then we shall return home and buy abig house in the country. We shall have a beautiful garden and…June: But if we spend all that money we shall be poor again. What shall we do thenBrian: If we spend all the money, we shall try and win the football pools again.June: It’s a pleasant dream, but everything depends on “if”!Lesson139 Is that you, JohnMr. Grimes: Is that you, JohnJohn Smith: Yes, speaking.Mr. Grimes: Tell Mary we shall be late for dinner this evening.John Smith: I’m afraid I don’t understand.Mr. Grimes: Hasn’t Mary told you She invited betty and me to dinner this evening. I said I would be at your house at six o’clock, but the boss wants me todo some extra work. I’ll have to stay at the office. I don’t know when Ishall finish. Oh, and by the way, my wife wants to know if Mary needsany help.John Smith: I don’t know what you’re talking about.Mr. Grimes: That is John Smith, isn’t itJohn Smith: Yes, I’m John Smith.Mr. Grimes: You are John Smith, the engineer, aren’t youJohn Smith: That’s right.Mr. Grimes: You work for the Overseas Engineering Company, don’t youJohn Smith: No, I don’t. I’m John Smith the telephone engineer and I’m repairing your telephone line.Lesson141 Sally’s first train rideLast week, my four year old daughter, Sally, was invited to a children’s party. I decided to take her by train. Sally was very excited because she had never traveled on a train before. She sat near the window and asked questions about everything she saw. Suddenly, a middle-aged lady got on the train and sat opposite Sally.“Hull, little girl.” She said. Sally did not answer, but looked at her curiously.The lady was dressed in a blue coat and a large, funny hat. After the train had left the station, the lady opened her handbag and took out her powder compact(粉盒). She then began to make up her face.“Why are you doing that” Sally asked.“To make myself beautiful,” the lady answered. She put away her compact and smiled kindly.“But you are still ugly.” Sally said. Sally was amused, but I was very embarrassed!Lesson143 A walk through the woodsI live in a very old town which is surrounded by beautiful woods. It is a famous beauty spot（风景地点）. On Sundays, hundreds of people come from the city to see our town and to walk through the woods. Visitors have been asked to keep the woods clean and tidy. Litter-baskets have been placed under the trees, but people still throw their rubbish everywhere. Last Wednesday, I went for a walk in the woods. What I saw made me very sad. I counted seven old cars and three old refrigerators. The litter-baskets were empty and the ground was covered with pieces of paper, cigarette-ends, old tyres, empty bottles and rusty tins. Among the rubbish I found a sign which said:” Anyone who leaves litter in these woods will be prosecuted.(处罚)”!。

华杯赛小学决赛试题及答案题一：“自然界的奇妙景色”自然界是一个充满奇妙景色的地方。

从峡谷到瀑布，从雪山到沙漠，每一个角落都散发着独特的魅力。

接下来，我们将带你领略一些自然界最令人惊叹的景色。

1. 峡谷峡谷是由地壳运动和水的侵蚀所形成的。

它们通常有着陡峭的峭壁和蜿蜒的河流。

例如，美国的大峡谷就是世界上最壮观的峡谷之一。

漫步在峡谷的边缘，你可以欣赏到令人窒息的景色，仿佛置身于大自然的壮丽画卷之中。

2. 瀑布瀑布是水流从高处跌落到低处的景象。

它们以其惊人的能量和美丽的水流而闻名。

例如，尼亚加拉瀑布是世界上最著名的瀑布之一。

当你站在瀑布附近，听到水流的轰鸣声，你会被这股力量和壮观的景象所震撼。

3. 雪山雪山是天然的美丽画作。

它们被冰雪覆盖，傲立在高山之巅。

喜马拉雅山脉是世界上最高的山脉之一，被誉为地球的屋顶。

站在雪山的顶峰，你会被周围的巍峨山峰和绵延不绝的雪景所包围，仿佛置身于仙境。

4. 沙漠沙漠是世界上最广阔的生态系统之一，不仅有广阔的沙丘和沙漠风暴，还有令人难以置信的星空。

例如，撒哈拉沙漠是世界上最大的沙漠，拥有壮丽的沙丘和恢宏的沙漠风景。

夜晚时，你可以在撒哈拉沙漠的边缘观赏到无数明亮的星星，仿佛置身于一个星空仙境中。

总之，自然界中有无尽的奇妙景色等待我们去探索。

无论是峡谷、瀑布、雪山还是沙漠，它们都展现着大自然的鬼斧神工和无穷的魅力。

希望每一个人都能亲身体验这些令人惊叹的景色，与大自然真正融合。

题二：“小动物的朋友——蜜蜂”蜜蜂是我们身边最可爱的小动物之一。

它们不仅负责传播花粉，助力植物的繁衍，还生产出美味的蜂蜜。

现在，让我们来了解一下蜜蜂的生活和工作。

1. 居住环境蜜蜂生活在蜂巢中，蜂巢通常由蜂蜡制成。

蜜蜂会细心地为蜂巢打造出六角形的蜂房，用来储存花粉和蜜。

蜂巢是蜜蜂家族的家园，它们通过密切合作来照顾和保护蜂巢。

2. 分工合作蜜蜂社会非常有组织和分工合作。

每只蜜蜂在蜜蜂家族中都有自己特定的角色和任务。

第十二届华杯赛总决赛一试试题及解答1.从下面每组数中各取一个数，将它们相乘，则所有这样的乘积的总和是___.第一组：，0.15；第二组：4，；第三组：，1.22.一个正方体，平放于桌面，下图是从初始状态向不同方向翻滚一次所得到的三幅视图，则这个正方体初始状态的正面是___色，右面是___色.3.如图所示，已知APBCD是以直线l为对称轴的图形，且∠APD＝116°，∠DPC＝40°，DC＞AB，那么，以A、P、B、C和D五个点为顶点的所有三角形中有___个钝角三角形，有___个锐角三角形.4.A、B、C三项工程的工作量之比为1∶2∶3，由甲、乙、丙三个工程队分别承担，同时开工，若干天后，甲完成的工作量是乙未完成工作量的二分之一，乙完成的工作量是丙未完成工作量的三分之一，丙完成的工作量等于甲未完成的工作量，则甲、乙、丙三个队的工作效率的比是多少？5.将1分、2分、5分和1角的硬币投入19个盒子中，使每个盒子里都有硬币，且任何两个盒子里的硬币的钱数都不相同。

问：至少需要投入多少硬币？这时，所有的盒子里的硬币的总钱数至少是多少？6.下图是一种电脑射击游戏的示意图，线段CD、EF和GH的长度都是20厘米，O、P、Q是它们的中点，并且位于同一条直线AB上，AO＝45厘米，OP＝PQ＝20厘米，已知CD上的小圆环的速度是每秒5厘米，EF上的小圆环的速度是每秒9厘米，GH上的小圆环的速度是每秒27厘米。

零时刻，CD、EF、GH上各有一个小圆环从左端点同时开始在线段上匀速往返运动。

问：此时，从点A向B发射一颗匀速运动的子弹，要想穿过三个圆环，子弹的速度最大为每秒多少厘米？1.解：设总和为S，则S＝＝（0.75＋0.15）×（）＝0.9×（2.4＋4.8＋0.4＋0.8）＝0.9×8.4＝7.562.解：红面与灰、蓝、棕、白面相邻，故知红面与绿面相对；同理可知白面与蓝面相对，灰面与棕面相对。