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综合试题1(兰生复旦中学理科班教程)

综合试题1(兰生复旦中学理科班教程)
综合试题1(兰生复旦中学理科班教程)

综合试题1

1、在平面上画一个长方形能把平面分成2个部分,如果画三个长方形,那么最多能把平面分成 个部分

2、n ×7积的末四位数是2005,那么n 的最小值是

3、一只箱子装有标号分别为1,2,3,…,2005的2005张卡片,现从箱子里随意取出x 张卡片,但是,为了确保这x 张卡片中至少有两张卡片标号的差是5,那么x 至少是

4、一名收藏家拥有m 块宝石,如果他拿走最重的3块宝石,那么宝石的总重量会减少35%,如果他从余下的宝石中再拿走最轻的3块宝石,那么余下的宝石的重量会再减少513

,则m =

5、在正方形ABCD 中,切去四个三角形得到一个五边形EFGHI (如右图,其中所标的数表示各线段的长度),线段IJ 将五边形EFGHI 分成两个面积相等的部分,那么FJ 的长度是

6、电子表现显示的数字是10:20:05,如果从现在起到12点整为止,那么电子表所显示的6个数字都不相同的情形共有 种

7、正整数n 使得(191919+n)×(191919+n )除以19的余数是6,那么n 除以19的余数是

8、甲、乙两地相距24千米,现仅有一辆自行车,车速是每小时15千米,但只能一人骑. 小明每小时步行6千米,小华每小时步行5千米,两人轮换骑车和步

E

H

行,骑车的过一段距离下车,停车后,然后自己步行,而步行的到此地,则骑车前进. 如果两人同时从甲地出发,并且同时到达乙地,那么需要时间是分钟

9、小聪和小明计算两个三位数的差,小聪的答案是234,小明的答案是432,检查中发现,小聪的答案正确,小明由于漏看了减数的个位数,而把减数看成两位数,所以错了。那么被减数是

10、如果某正整数不论从左面或右面读起都相同(如:36563,2002等)那么称该数为“回文数”,能被101整除的最大五位回文数是

11、如图,正方形ABCD,M是CD的中点,那么面积P、Q、R、S的比:P:Q:R:S=

12、四个正整数a、b、c、d都小于1000,并且组成一个四数组(a、b、c、d),如果a+4、b-4、c×4、d÷4也是正整数,而且都相等,那么这样的不同四数组共有个

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上海民办兰生复旦中学物理电流和电路综合测试卷(word含答案) 一、初三物理电流和电路易错压轴题(难) 1.某小组同学通过自学得知:在两种金属组成的回路中,如果使两个接触点的温度不同,便在回路中将会出现电流.为了验证和探究其中规律,该小组利用铁丝和铜丝两种导线组成图(a)所示的闭合回路,并将相连的两个交叉点A、B分别置于烧杯中和酒精灯上方.做了如图(a)、(b)、(c)、(d)所示的四次实验.请仔细观察图中的装置、操作和现象,归纳得出初步结论. (1)分析比较图中(a)(b)两图中的装置、操作和现象,归纳得出初步结论:当相互连接的两种金属丝的材料不变时,接触点之间的温度差越小,电路中的电流________.(2)分析比较图中(a)(c)两图[或(b)(d)两图],发现当相互连接的两种金属丝的材料相同,金属导线接触点之间的温度差也相同,且用酒精灯对金属导线中部进行加热时,闭合回路中的电流表示数________(选填“变大”、“不变”或“变小”).据此可得出初步结论:当相互连接的两种金属丝的材料相同,金属导线接触点之间的温度差也相同时,电路中的电流大小与金属导体中部温度高低________. 【答案】越小不变无关 【解析】 【分析】 【详解】 (1)比较a、b两次实验可知,当相互连接的两种金属丝的材料不变时,(a)中冰水混合物与酒精灯火焰的温度差比较大,电流表示数大;(b)中开水与酒精灯火焰的温度差较小,电流表的示数小,故可得出的结论为:当相互连接的两种金属丝的材料不变时,接触点之间的温度差越小,电路中的电流越小;(2)分析比较图中(a)(c)两图(或(b)(d)两图),发现当相互连接的两种金属丝的材料相同,金属导线接触点之间的温度差也相同,且用酒精灯对金属导线中部和最长处进行加热时,闭合回路中的电流表示数相同,据此可得出初步结论:当相互连接的两种金属丝的材料相同,金属导线接触点之间的温度差也相同时,电路中的电流大小与金属导体中部温度高低无关. 【点睛】 根据图示判断两个接触点的温度差,然后比较实验中电流表的示数,并与已有的结论对比. 2.如图所示的电路中,电源电压为U,闭合电键S,发现两电表指针的位置均不变,已知故障只发生在电阻R1、R2上,请根据相关信息写出电压表的示数及相应的故障.

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2020-2021上海市兰生复旦中学九年级(上)期中数学仿真试卷-解析版

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6.如图,在直角梯形ABCD中,DC//AB,∠DAB=90°, AC⊥BC,AC=BC,∠ABC的平分线分别交AD、AC 于点E,F,则BF EF 的值是() A. √2?1 B. 2+√2 C. √2+1 D. √2 二、填空题(本大题共12小题,共48.0分) 7.若b a =2 3 ,那么a a+b 的值为______. 8.计算:tan15°?tan45°?tan75°=______. 9.若a0???? 是与非零向量a?反向的单位向量,那么a?=______a0???? . 10.如图,在△ABC中,BC=6,G是△ABC的重心,过G作 边BC的平行线交AC于点H,则GH的长为______. 11.二次函数y=ax2?3x+a2?a的图象经过原点,则 a=______. 12.若过⊙O内一点M的最长弦为10,最短弦为6,则OM的长为______. 13.已知⊙O的半径为13,弦AB=24,CD=10,且AB//CD,则弦AB与CD之间的 距离为______. 14.如图,一桥拱呈抛物线状,桥的最大高度是16米,跨 度是40米,在线段AB上离中心M处5米的地方,桥 的高度是______ m(π取3.14). 15.小亮的身高为1.8米,他在路灯下的影子长为2米;小亮距路灯杆底部为3米,则 路灯灯泡距离地面的高度为______ 米. 16.如图,△ABC中,BC=5,AC=3,△ABC绕着C点旋转到△A′B′C的位置,那么 △BB′C与△AA′C的面积之比为______. 17.如图,在Rt△ABC中,∠BAC=90°,AD⊥BC于点 D,O为AC边中点,AC AB =2,连接BO交AD于F,

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精品解析:上海市杨浦区兰生复旦中学2016--2017学年六年级下学期期末英语试题(解析版) - 副本

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