杭州东方中学12月月考试题

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浙江省杭州市七年级上学期数学12月月考试卷

浙江省杭州市七年级上学期数学12月月考试卷

浙江省杭州市七年级上学期数学12月月考试卷姓名:________ 班级:________ 成绩:________一、单选题 (共10题;共20分)1. (2分)(2020·陕西模拟) 的倒数是()A . 2B . -2C . 2D .2. (2分)下列四个式子中,是方程的是()A . 1 + 2 =3B . x-5C . x = 0D . |1-0. 5|=0.53. (2分) (2016七上·启东期中) 方程2x+a﹣4=0的解是x=﹣2,则a等于()A . ﹣8B . 0C . 2D . 84. (2分) (2016七上·嘉兴期末) 已知代数式x﹣3y的值是4,则代数式(x﹣3y)2﹣2x+6y﹣1的值是()A . 7B . 9C . 23D .5. (2分) (2020七上·恩平期末) 方程3x﹣1=4的解是()A . -B .C . ﹣1D . 16. (2分)成人体内成熟的红细胞的平均直径一般为0.000007245m保留三个有效数字的近似数,可以用科学记数法表示为()A . 7.25×10-5mB . 7.25×106mC . 7.25×10-6mD . 7.24×10-6m7. (2分) (2019七上·陕县期中) 下列说法正确的是()A . 单项式是整式,整式也是单项式B . 与是同类项C . 单项式的系数是,次数是D . 是一次二项式8. (2分)(2017·丽水) 若关于x的一元一次方程x-m+2=0的解是负数,则m的取值范围是()A . m≥2B . m>2C . m<2D . m≤29. (2分) (2019七上·陇西期中) 如果|x﹣4|与(y+3)2互为相反数,则2x﹣(﹣2y+x)的值是()A . ﹣2B . 10C . 7D . 610. (2分) (2019七上·台州期末) 如果 am=an,那么下列等式不一定成立的是()A . am-3=an-3B . m=nC . 5+am=5+anD . am= an二、填空题 (共6题;共6分)11. (1分) (2020七上·通榆期末) 在-1,0,-2,3中,两个数的积的最大值是________。

杭州市初三12月月考物理卷

杭州市初三12月月考物理卷

杭州市初三12月月考物理卷姓名:________ 班级:________ 成绩:________一、选择题 (共12题;共24分)1. (2分) (2017八下·锦州月考) 如图所示的四种工具在使用过程中,属于费力杠杆的是()A . 镊子B . 钳子C . 托盘天平D . 瓶起子2. (2分) (2016九上·射阳月考) 如图所示,甲、乙是两个完全相同的网球.在同一高度以大小相等的速度,将甲球竖直向下抛出、将乙球竖直向上抛出,不计空气阻力,则下列说法正确的是A . 甲球在空中下落时,重力势能增大,动能减小B . 乙球上升过程中,重力势能转化为动能C . 抛出时甲、乙两球的机械能相等D . 抛出时甲球的动能小于乙球的动能3. (2分)(2016·赣榆模拟) 关于功和能,下列说法正确的是()A . 0℃的物体没有内能B . 物体的机械能越多,内能就越多C . 物体内能增加,一定是从外界吸收了热量D . 在热机的做功冲程中,内能转化为机械能4. (2分)如图所示,电源电压不变,滑动变阻器的滑片从端滑到端的过程中()A . 电流表、电压表示数都减小B . 电流表、电压表示数都增大C . 电流表示数减小、电压表示数不变D . 电流表示数减小、电压表示数增大5. (2分)如图是小明设计的楼梯照明电灯的四种控制电路.其中S1、S2分别为楼上和楼下的开关(都是单刀双掷开关).要求拨动其中任一开关,都能改变电灯原来的发光或熄灭状态.在实际应用中最好的方案是()A .B .C .D .6. (2分)图所示电路中,电源电压不变,开关S闭合,灯L1和L2都正常发光,一段时间后,突然其中一灯熄灭,而电流表和电压表的示数都不变,出现这一现象的原因可能是()A . L1短路B . L2短路C . L1断路D . L2断路7. (2分) (2016九·荆州月考) 将两只滑动变阻器按如图所示方法连接,要使这两只变阻器连入电路的电阻最大,应把滑片P1、P2放在()A . 滑片P1放在最右端,滑片P2也放在最右端B . 滑片P1放在最左端,滑片P2也放在最左端C . 滑片P1放在最右端,滑片P2放在最左端D . 滑片P1放在最左端,滑片P2放在最右端8. (2分)根据欧姆定律公式,可变形得到.对此,下列说法中正确的是()A . 导体电阻的大小跟导体两端的电压成正比B . 导体电阻的大小跟导体中的电流成正比C . 当导体两端的电压为零时,导体的电阻也为零D . 导体电阻的大小跟导体两端的电压和通过导体的电流无关9. (2分)下列说法错误的是()A . 电源是提供电压的装置B . 电压是形成电流的原因C . 电路两端只要有电压就一定有电流D . 电流是电荷的定向移动形成的10. (2分) (2017九上·赵县期末) 如图所示的电路,下列判断正确的是()A . 闭合开关S1、S3 ,断开开关S2时,灯L1、L2串联B . 闭合开关S2 ,断开开关Sl、S3时,灯L1、L2并联C . 闭合开关S1、S2 ,断开开关S3时,灯L1亮、L2不亮D . 同时闭合开关S1、S2、S3时,电源短路11. (2分)下列认识中正确的是()A . 物体的动能越大,速度一定大B . 物体的动能越大,做功越多C . 物体的动能越大,质量一定大D . 物体的动能越大,能做的功越多12. (2分) (2016九上·武城期中) 如图所示,是一科技创新小组同学们设计的水位计工作原理图,绝缘浮子随水位的升降带动滑动变阻器R的金属滑杆P升降,通过电压表显示的数据来反应水位升降情况,水位最低时,滑杆P位于R的a端处,L是一个指示灯,电路各部分接触良好,不计导线电阻,下列判断正确的是()A . 当水位不变时,则电压表示数不变,指示灯不亮B . 当水位下降时,则电压表示数变大,指示灯变亮C . 当电压表示数变大,指示灯变暗,则表明水位上升D . 若将电压表改装成水位计,则电压表零刻度线即为水位计零刻度线二、填空题 (共9题;共21分)13. (1分)左图所示为某宾馆的房卡.只有把房卡插入槽中,房间内的灯和插座才能有电.房卡的作用相当于一个________(填电路元件)接在电路中.14. (3分)马拉着重为2×104N的车在水平路面上匀速前进4km,做功为6×105J,则马对车的水平拉力是________N;在此过程中,重力做功________J.马停止用力后,车由于惯性向前运动0.5m停下,在此过程中马对车做功为________J.15. (2分)(2019·南山模拟) 太阳能是一种清洁能源,某太阳能热水器每天能使100kg的水温度升高30℃,那么这些水吸收的热量为________J,这些热量相当于完全燃烧________m3的天然气放出的热量。

2021年杭州市东方中学高三语文月考试题及参考答案

2021年杭州市东方中学高三语文月考试题及参考答案

2021年杭州市东方中学高三语文月考试题及参考答案一、现代文阅读(36分)(一)现代文阅读I(9分)完成下列有关《老人与海》的各题。

鲨鱼的来袭并不偶然。

它是从深水里游上来的,因为黑云状的鱼血沉积下来,散布在一英里深的海里。

鲨鱼上来得那么快,毫无预兆地划破蓝色的海水,出现在太阳底下。

随后,它又回到水里,捕捉到血腥味,开始顺着小船和鱼的航道游来。

有时候,鲨鱼会找不到气味,但又会重新捕捉到它,也许不过是蛛丝马迹,鲨鱼却会游得很快,紧追上去。

这是一条很大的灰鲭鲨,生来游得跟海里最快的鱼一样快。

除了鱼嘴,浑身都很漂亮。

它的背像箭鱼的背那么蓝,肚皮为银色,鱼皮光滑漂亮。

它的体态像箭鱼,就是那张大嘴不一样。

这时它嘴巴紧闭,贴着水面游得很快,高高的背鳍刀子一般在水里穿行,毫不抖动。

在紧闭的双唇里,八排牙齿向内倾斜。

这不是大多数鲨鱼常见的金字塔形牙齿,样子倒像卷成爪子模样的人的手指。

它的牙齿跟老人的手指差不多长,两侧有着像剃刀般锋利的刀口。

这种鱼生来就是捕食海里所有鱼的,速度那么快,体格那么强壮,又是全副武装,所以没有其他敌人。

现在,它闻到了新鲜的血腥味,便开始加速,蓝色的背鳍划破了海水。

老人看着鲨鱼过来,知道它天不怕地不怕,想干什么就干什么。

他一边看着鲨鱼靠近,一面准备好鱼叉,把绳子系紧了。

可是绳子太短,缺了一截,就是割下来捆鱼的那一截。

老人脑子清醒好使,决心很大,却不抱什么希望。

好景不长,他想。

瞧着鲨鱼逼近,他看了看那条大鱼。

也许这只是一场梦,他想。

我不可能阻止它攻击我,但也许我能逮住它。

登土鲨(原文为西班牙语,此处为音译,用于称呼灰鳍鲨),他想。

叫你妈倒霉。

鲨鱼快速靠近船尾,在袭击大鱼的时候,老人见它张开大嘴,眼睛怪怪的,牙齿咔嚓一声插进鱼尾上方的鱼肉。

鲨鱼的头钻出水面,背也露了出来,老人听见鲨鱼撕开大鱼皮肉的声音,他把鱼又猛地往下刺向鲨鱼头部,插进两眼之间那条线与从鼻子笔直往后的那条线的交点上。

其实那些线是不存在的。

浙江省杭州市九年级数学12月月考试题

浙江省杭州市九年级数学12月月考试题

一、选择题(每小题3分,共30分) 1.点P (1,3)在反比例函数ky x=(0k ≠)的图象上,则k 的值是( ) A .13B .3-C .13- D .3.2.如图,∠AOB 是⊙O 的圆心角,∠AOB =90°,则弧AB 所对圆周角∠ACB 的度数是( )A .40°B .45°C .50°D .80°. 3.已知23x y =,则x y x+的值为( ) A .5 B .-5 C .52 D .52-. 4.两个相似三角形,他们的周长分别是36和12.周长较大的三角形的最大边为15,周长较小的三角形的最小边为3,则周长较大的三角形的面积是( ) A .52 B .54 C .56 D .58.5.在Rt ABC △中,ACB ∠=90º,CD ⊥AB 于点D .已知AC =5,BC =2,那么sin ACD ∠=( )A .53 B .23 C .255 D .52.6.如图所示,给出下列条件:①B ACD ∠=∠;②ADC ACB ∠=∠;③AC ABCD BC=;④2AC AD AB =. 其中单独能够判定ABC ACD △∽△的有( )A .①②③④B .①②③C .①②④D .①②.7.如图,直角坐标系中,两条抛物线有相同的对称轴,下列关系式中不正确...的是( )A .m h =B .h n >C .n k >D .0,0>>k h .8.如图,某公园的一座石拱桥是圆弧形(劣弧),其跨度AB 为24米,拱的半径为13米,则拱高CD 为( )A .5米B .7米C .53米D .8米.9.已知D 、E 分别是ABC ∆的AB 、 AC 边上的点,,DE BC //且8=DBCE S 四边形ADE S ∆. 那么:AE AC 等于( )A .1 :2B .1 :3C .1 :8D .1 :9. 10.观察图中给出的直线b x k y +=1和反比例函数xk y 2=的图像,判断下列结论错误..的有( )①2k >b >1k >0;②直线 b x k y +=1与坐标轴围成的△ABO 的面积是4;③方程组⎪⎩⎪⎨⎧=+=x k y bx k y 21的解为⎩⎨⎧-=-=1611y x ,⎩⎨⎧==3222y x ; ④当-6<x <2时,有b x k +1>xk2 .A .1个B .2个C .3个D .4个. 二、填空题(每小题4分,共24分)11.抛物线23(1)5y x =-++的顶点坐标为 ▲ .12.若圆锥的底面周长为3π,侧面展开后所得扇形的圆心角为180°,则圆锥的侧面积为 ▲ .13.圆上依次有A 、B 、C 、D 四点,其中∠BAD =80︒,若A BC 、 A DC 的长度分别为711ππ、,则B AD 的长度 ▲ . 14.函数23y x =+的图象不经过第 ▲ 象限. 15.如图,已知D 、E 分别是ABC ∆的AB 、 AC 边上的点,,DE BC //且8=DBCE S 四边形ADE S ∆. 那么:AE AC 等于 ▲ .16.如图,将弧BC 沿弦BC 折叠交直径AB 于点D ,若AD =5,DB =7,则BC 的长是 ▲ .三.解答题(本题有8小题,共66分) 17.(本题6分)B A CDENA(第21题)MB(1)已知:sin α·cos60°=43,求锐角α. (2)计算:︒--+45sin 4)2010(280π.18.(本题8分)如图,在4×4的正方形方格中,△ABC 和△D EF 的顶点都在边长为1的小正方形的顶点上.请判断∠BAC 与∠EDF 是否相等,并证明你的结论.19.(本题8分)如图,已知点P 是反比例函数)0,0(11<<=x k xk y 图像上一点,过点P 作x 轴、y 轴的垂线,分别交x 轴、y 轴于A 、B 两点,交反比例函数)||0(122k k xky <<=图像于E 、F 两点.(1) 用含k 1、k 2的式子表示以下图形面积:① 四边形PAOB ;② 三角形OFB ;③ 四边形PEOF ;(2)若P 点坐标为(-4,3),且PB ︰BF =2︰1,分别求出1k 、2k 的值.20.(本题10分)如图,从一个边长为1米的正方形铁皮中剪下一个扇形.(1) 求这个扇形的面积(结果保留π);(2) 能否从剩下的余料中剪出一个圆作为底面与此扇形围成一个圆锥?请说明理由.21.(本题10分)如图,东站枢纽建设要新建一条从M 地到N 地的公路,测得N 点位于M 点的南偏东30º,A 点位于M 点的南偏东60º,以A 点为中心,半径为400米的圆形区域为文物保护区,又在B 点测得BA 的方向为南偏东75º,量得MB =400米,请计算后回答公路是否会穿越文物保护区?22.(本题12分)某商店购进一批冬季保暖内衣,每套进价为100元,售价为130元,每星期可卖出80套.商家决定降价促销,根据市场调查,每降价5元,每星期可多卖出20套. (1)求商家降价前每星期的销售利润为多少元?(2)降价后,商家要使每星期的销售利润最大,应该售价定为多少元?最大销售利润是多少? 23.(本题12分)如图,二次函数2y ax bx c =++的图象与x 轴交于两个不同的点A (-2,0)、B(4,0),与y轴交于点C(0,3),连结BC、AC,该二次函数图象的对称轴与x轴相交于点D.(1)求这个二次函数的解析式、点D的坐标及直线BC的函数解析式;(2)点Q在线段BC上,使得以点Q、D、B为顶点的三角形与△ABC相似,求出点Q的坐标;(3)在(2)的条件下,若存在点Q,请任选一个Q点求出△BDQ外接圆圆心的坐标.(第20题)C杭州市2012学年第一学期十二月份质量检测九年级数学 参考答案一.选择题(每题3分,共30分)题号 12345678910答案D B C B A C B D B A二.填空题(每题4分,共24分)18.(本题8分)解:∠BAC=∠EDF ………… 1分∵EF=2, DE=2, AB=2, BC=22 ………… 2分 ∴EF DEBC AB=………… 2分 又∵∠DEF=∠ABC=135°………… 1分 ∴△DEF ∽△ABC ………… 2分 ∴ ∠BA C=∠EDF19.(本题8分)(1)① S 四边形PAOB =|k 1| ------------1分 ② S 三角形OFB =221k ------------1分 ③ S 四边形PE OF =12k k - (或||12k k +)------------2分 (2)因为P (-4,3)在xk y 1=上,∴1k =-12------------2分 又PB ︰BF =2︰1,∴F (2,3),2k =6 -------------------2分20.(本题10分)解:(1)AB =BD =1,∴213604n R s ππ==(2m ) ………… 2分(2)连接BD ,交BD 于点E ,DE =BD -BE =(2-1)(m ),………… 1分11802AD n R l ππ==(m ) ………… 2分 ∵122r ππ=,21.(本题10分)解:过A 作AC BN ⊥于C , ………… 1分 由题意得030CMA ∠=,000753045CBA ∠=-=,400MB m =, ………… 1分设AC xm =,22.(本题12分)解:(1) (130-100)×80=2400(元);--------------3分 (2)设应将售价定为x 元,则销售利润130(100)(8020)5xy x -=-+⨯-------3分所以这个二次函数的解析式是2333.84y x x =-++ ……2分因为22333273(1)8488y x x x =-++=--+,所以抛物线的对称轴是直线1x =,点D 的坐标为(1,0). …………1分由待定系数法得直线BC 的解析式为334y x =-+. ………… 1分 过点Q 作QH x ⊥轴于点H ,则QH ∥CO .所以5235QH =.解得32QH =.把32y =代入334y x =-+,得2x =. 所以,此时,点Q 的坐标为(2,32). ………… 2分 ②如图2,当DQB CAB ∠=∠时,QB DB AB CB=,即365QB =,得185QB =.过点Q 作QG x ⊥轴于点G ,则QG ∥CO .所以18535QG =.解得5425QH =. 把5425y =代入334y x =-+,得2825x =. 所以,此时,点Q 的坐标为(2825,5425).…………2分 综上所述,点Q 坐标为(2,32)或(2825,5425).(3)当点Q 的坐标为(2,32)时,设圆心的M (52,y ).。

杭州市初中2019-2019学年第一学期12月月考七年级科学试卷7页word文档

杭州市初中2019-2019学年第一学期12月月考七年级科学试卷7页word文档

杭州市初中2019-2019学年第一学期12月月考七年级科学试卷姓名单项选择题,自选25题(每题2.5分,共100分)1.体温计的准确程度比一般的温度计高,这是因为() A.体温计的玻璃泡和玻璃管之间有一段特别细的玻璃管B.体温计里装的是水银C.体温计的玻璃泡容积大而玻璃管又很细D.体温计的测量范围小2.下列数据中最接近生活实际的是()A一间教室的体积是20立方米 B初中生的质量约为50千克C科学课本的长度约为100分米 D.人的正常体温为38℃3.一只量筒有50毫升的水,当里面放进一木块,木块的三分之二浸入水中,量筒的读数为56毫升,则这块木块的体积是()A.6立方厘米 B.0.9立方分米 C.12立方厘米 D.9立方厘米4.在观察蚯蚓的实验中,用沾水的棉球轻擦蚯蚓的身体,其主要目的是()A.保护体表湿润,有利于运动 B.保持身体柔软 C.降温作用 D.让体表湿润,维持正常呼吸5.下列各项中,与“神经细胞→神经组织→脑→神经系统→羊”的层次一致的是()A.分生区细胞→分生组织→根→茎→小麦 B.骨骼肌细胞→骨骼肌→骨骼→运动系统→牛C.神经细胞→神经组织→脑→神经网→水螅 D.上皮细胞→上皮组织→肺→呼吸系统→马6.某学校校园中,有柑桔、水绵、葫芦藓和雪松等植物。

科学兴趣小组的同学根据这些植物的特点,按右表的标准进行分类。

其中③是上述植物中的()A.柑桔 B.水绵 C.葫芦藓 D.雪松7.下列生物等级分类中,包含生物种类最多的是() A.门B.纲C.种D.科8.下列器官中,可以用于判断荔枝是被子植物的是()A. 叶 B.茎 C.果实 D.种子9.岩石组成了地球的坚硬外壳——岩石圈,下列相关说法正确的是()A、岩石圈就是指地壳B、岩石圈是指土壤层以下的岩石部分C、地球上的岩石圈被划分为七大板块D、岩石是构成地貌、形成土壤的物质基础10.下列发现中不能成为大陆漂移说这一理论的证据的是()A、自大洋中脊两侧,沉积物逐渐变薄B、北美洲和非洲、欧洲在地层、岩石构造上遥相呼应C、在印度、澳大利亚和非洲的岩层中发现舌羊齿植物化石D、在北极发现了热带植物化石,在南非发现冰川遗留的痕迹11.下列说法不正确的是()A、地壳变动有时表现的十分激烈,有时却十分缓慢,难以被人察觉B、火山和地震是地壳运动的表现形式C、引起地壳变动的主要能量是太阳辐射D、意大利那不乐斯海岸三根大理石柱的升降可以有力的证明地壳是在运动的12.把边长为3分米的正方体的铁块,在相同的温度下压成长2米、宽0.2米的均匀铁皮,则下列说法中正确的是()A.铁块的形状、质量和体积都变了B.铁块的形状、体积变,质量不变C.铁块的形状变,体积和质量不变D.铁块的质量变,体积和形状不变13.对于公式ρ=m/v的物理意义,下列叙述中正确的是()A.物质的密度与其质量成正比 B.物质的密度与其体积成反比,体积越大密度越小C.同种物质组成的物体,其密度是确定的,与其质量多少或体积大小无关D.密度与质量成正比,与体积成反比。

浙江省杭州市七年级数学第一学期12月月考试卷 新人教版

浙江省杭州市七年级数学第一学期12月月考试卷 新人教版

2012-2013学年第一学期12月月考七年级数学试卷温馨提示:1、本试卷分试题卷和答题卷两部分,满分100分,时间90分钟。

2、答题前,先在答题卷左侧写明校名、班级、姓名和考号。

3、所有答案都必须写在答题卷标定的位置上,请务必注意试题序号和答题序号相对应。

4、认真作答,仔细检查,相信自己,祝你成功! 一、选择题(每小题3分,共30分) 1、-2的倒数是( )A 、21-B 、2C 、-2D 、212、在实数-2,0.∙∙31,3π,71,0.80108( )A. 1个B. 2个C. 3个D. 4个3、 下列代数式:2,1,2,1,2ba ab tx + 中,单项式有多少个········· ( ) A 、 1个 B 、2个 C 、3个 D 、4个 4、下列说法错误的是( )A .81的算术平方根是3B .平方根是本身的数只有0C .两个无理数的和一定是无理数D .实数与数轴上的点一一对应 5、把方程17.012.04.01=--+x x 中分母化整数,其结果应为( ) (A )17124110=--+x x (B)17124110=--+x x 0 (C)1710241010=--+x x (D)1710241010=--+x x 0 6、湘湖是萧山的母亲湖。

湘湖的一期和二期面积共约10.6平方公里,则它的百万分之一最接近于( )A .一本数学课本的面积B .一张展开的《萧山日报》报纸的面积C .一个操场的面积D .一间书房的面积7、当x =2时,代数式31ax bx ++的值为6,那么当x =-2时,这个代数式的值是( )A .1B .-6C .3D .-4 8、如果|a |=a -,则a 是()A.a >0B.a =0C.a <0D.a ≤09、下列变形中,正确的是( )A 、若a=b ,那么a=bB 、若a=b ,那么cb c a = C 、若ac=bc ,那么a= b D 、若a=b ,那么a=b10、先阅读再计算:取整符号[a ]表示不超过实数a 的最大整数,例如:[ 3.14 ]=3; [0.618]=0;如果在一列数X 1 、X 2 、X 3 、……X n 中,已知X 1=2 ,且当k ≥2 时, 满足⎪⎪⎭⎫⎝⎛⎥⎦⎤⎢⎣⎡--⎥⎦⎤⎢⎣⎡--+=-4241411k k x x k k ,则求X 2013的值等于( ) A 、2 B 、3 C 、2013 D 、2014 二、填空题(每小题3分,共30分)11、若有理数a 、b 互为相反数,则下列a+b=12、杭州地铁1号线是杭州市乃至浙江省首条地铁线路,杭州地铁于2012年11月24日正式开始运营。

东方中学12月月考(初中八年级数学月考)

东方中学12月月考(初中八年级数学月考)

一:选择题1.将一副三角板如图放置,使点A 在DE 上,BC ∥DE ,则∠AFC 的度数为( ) A.45° B.50° C.60° D.75°2、一个关于x 的一元一次不等式组的解集在数轴上的表示如图,则该不等式组的解集是( )A.x>1B.x 1≥C.3>xD.3≥x3、P (x ,y )是以坐标原点为圆心,10为半径的圆周上的点,若x ,y 都是整数,则这样的点共有( )A.4个B.8个C.12个D.16个4、已知方程组32342321x y a x y a -=-⎧⎨-=-⎩的解满足x>y ,则a 的取值范围是( ) a>1 B.a<1 C.a>5 D.a<55、如图所示,在△ABC 中,∠A=90°,BD 平分∠ABC,AD=2,AB+BC=8,ABC S △=( )A.8B.4C.2D.16、在一张直角三角形纸片的两直角边上各取一点,分别沿斜边中点与这两点的连线剪去两个三角形,剩下的部分是如图所示的直角梯形,其中三边长分别为2,4,3,则原直角三角形纸片的斜边长是( ) A.10B.54C.10或54D.10或1727、在平面直角坐标系中,已知直线334y x =-+与x 轴,y 轴分别交于A,B 两点,点C (0,n )是y 轴上一点,把坐标平面沿直线AC 折叠,使点B 刚好落在x 轴上,则C 点的坐标是( ) A.(430,) B.(0,34) C.(0,3) D.(0,4) 8、如图,在平面直角坐标系中,边长为1的正方形ABCD 中,AD 边的中点处有一动点P ,动点P 沿P →D →C →B →A →P运动一周,则P 点的纵坐标y与点P 走过的路程s之间的函数关系用图象表示大致是()A .B .C .D .9、如图,在平面直角坐标系中,线段AB 的端点坐标为A (—2,4)B (4,2)直线2—kx y =与线段AB 有交点则k 的值不可能是( )A.—3B.—2C.3D.110、如图,O 是正△ABC 内一点,OA=3,OB=4,OC=5,将线段BO 以点B 为旋转中心逆时针旋转60°得到线段BO ′,下列结论:①△BO ′A 可以由△BOC 绕点B 逆时针旋转60°得到;②点O 与O ′的距离为4;③∠AOB=150°;④336'+=AOBO S 四边形 ;⑤S △AOC+S △AOB=4396+其中正确的结论是( ) A .①②③⑤ B .①②③④ C .①②③④⑤ D .①②③二:填空题11、函数12——x x y =中,自变量x 的取值范围为 12、“直角三角形的两个锐角互余”的逆命题是13、一次函数b kx y +=的图像过点A (0,2)B (3,0),若将该图像沿着x 轴向左平移2个单位,则新图像对应的函数解析式为14、已知不等式()()614523+<+——x x 的最小整数解为方程32=ax x —的解,则代数式aa 144—的值为 15、在等腰△ABC 中,∠A=30°,AB=8,则AB 边上的高CD 的长是16、如图放置的△OAB1,△B1A1B2,△B2A2B3,…都是边长为2的等边三角形,边AO 在y 轴上,点B1,B2,B3,…都在直线y= 33x 上,则A2014的坐标是三:解答题17、解下列不等式组,并把不等式组的解集表示在数轴上352(21)32 2.542x x x x x ->--⎧⎪⎨->-⎪⎩18、如图,在△ABC 中,∠ACB=RT ∠,CD ⊥AB ,∠1=∠2,求证:CE=CF19、某商店经营甲乙两种商品,其进价和售价如下表:甲 乙 进价(元/件)15 35 售价(元/件) 20 45已知该商店购进了甲乙两种商品共160件(1)若商店在销售完这批商品后要获利1000元,则应分别购进甲乙两种商品各多少件(2)若商店的投入资金少于4300元,且要在售完这批商品后获利不少于1250元,则共有几种购货的方案?其中,那种购货方案的利润最大20、如图,直线()13+=x y 分别与x 轴,y 轴相交于A,B 两点,等边△ABC 的顶点C 在第二象限(1)在所给图中,按尺规作图要求,求作等边△ABC(2)若一次函数b kx y +=的图像经过A,C 两点,求k ,b 的值21、如图1,△ABC 是边长为4cm 的等边三角形,点P ,Q 分别从顶点A ,B 同时出发,沿线段AB ,BC 运动,且它们的速度都为1cm/s .当点P 到达点B 时,P 、Q 两点停止运动.设点P 的运动时间为t (s ).(1)求证:AQ=CP(2)连接AQ 、CP ,相交于点M ,如图2,则点P ,Q 在运动的过程中,∠CMQ 会变化吗?若变化,则说明理由;若不变,请求出它的度数.(3)当t 为何值时,△PBQ 是直角三角形?22、如图,点A的坐标是(-2,0),点B的坐标是(6,0),点C在第一象限内且△OBC为等边三角形,直线BC交y轴于点D,过点A作直线AE⊥BD,垂足为E,交OC于点F.(1)求直线BD的函数表达式;(2)求线段OF的长;(3)连接BF,OE,试判断线段BF和OE的数量关系,并说明理由.23、如图,四边形OABC的四个顶点坐标分别为O(0,0),A(8,0),B(4,4),C(0,4),直线l:y=x+b保持与四边形OABC的边交于点M、N(M在折线AOC上,N在折线ABC 上).设四边形OABC在l右下方部分的面积为S1,在l左上方部分的面积为S2,记S为S1、S2的差(S≥0).(1)求∠OAB的大小;(2)当M、N重合时,求l的解析式;(3)当b≤0时,问线段AB上是否存在点N使得S=0?若存在,求b的值;若不存在,请说明理由;(4)求S与b的函数关系式.。

浙教版九年级第一学期数学12月月考试卷及答案

浙教版九年级第一学期数学12月月考试卷及答案

浙教版九年级第一学期数学12月月考试卷一.选择题(共12小题,4*12=48)1.若3x=2y(xy≠0),则下列比例式成立的是()A.B.C.D.2.下列事件中属于必然事件的是()A.任意买一张电影票,座位号是偶数B.367人中至少有2人的生日相同C.掷一次骰子,向上的一面是5点D.某射击运动员射击1次,命中靶心3.已知△ABC中,∠C=Rt∠,若AC=,BC=1,则sin A的值是()A.B.C.D.4.如图,为测量学校旗杆的高度,小东用长为3.2m的竹竿做测量工具,移动竹竿使竹竿和旗杆两者顶端的影子恰好落在地面的同一点A,此时,竹竿与点A相距8m,与旗杆相距22m,则旗杆的高为()A.6m B.8.8m C.12m D.15m5.一个点到圆的最大距离为9 cm,最小距离为3 cm,则圆的半径为()A.3 cm或6 cm B.6 cm C.12 cm D.12 cm或6 cm6.如图,取一张长为a,宽为b的长方形纸片,将它对折两次后得到一张小长方形纸片,若要使小长方形与原长方形相似,则原长方形纸片的边a、b应满足的条件是()A.a=bB.a=2bC.a=2b D.a=4b7.下列有关圆的一些结论:①弦的垂直平分线经过圆心;②平分弦的直径垂直于弦;③相等的圆心角所对的两条弦的弦心距相等;④等弧所在的扇形面积都相等,其中正确结论的个数是()A.4B.3C.2D.18.如果一个扇形的弧长等于它的半径,那么此扇形称为“等边扇形”,则半径为4的“等边扇形”的面积为()A.8 B.16 C.2π D.4π9.如图,一块三角尺ABC的斜边AB与量角器的直径恰好重合,点D对应的刻度是46°,则∠ACD的度数为()A.46°B.23°C.44°D.67°10.二次函数()02≠++=a c bx ax y 的图象如图所示,则一次函数ac b bx y 42-+=与反比例函数x c b a y ++=在坐标系内的图象大致为( )11.如图:点A (0,4),B (0,﹣6),C 为x 轴正半轴上一点,且满足∠ACB =45°,则( )A .OC =12B .△ABC 外接圆的半径等于24C .∠BAC =60°D .△ABC 外接圆的圆心在OC 上12.已知二次函数y=ax 2+bx +c (a ≠0)的图象如图,有下列5个结论:①4a +2b +c >0;②abc <0;③b <a ﹣c ;④3b >2c ;⑤a +b <m (am +b ),(m ≠1的实数);其中正确结论的个数为( )A .2个B .3个C .4个D .5个二.填空题(共6小题,4*6=24)13.已知线段a =4 cm ,b =9 cm ,则线段a ,b 的比例中项为 cm .14.将抛物线y =﹣x 2向左平移2个单位后,得到的抛物线的解析式是 .15.如图,在2×2的正方形网格中四个小正方形的顶点叫格点,已经取定格点A 和B ,在余下的格点中任取一点C ,使△ABC 为直角三角形的概率是 .16.如图,D 是⊙O 弦BC 的中点,A 是弧BC 上一点,OA 与BC 交于点E ,若AO =8, BC =12,EO =BE ,则线段OD = ,BE = .15题图16题图17题图17.如图,在直线l上摆放着三个正三角形:△ABC、△HFG、△DCE,已知BC=CE,F、G分别是BC、CE的中点,FM∥AC∥HG∥DE,GN∥DC∥HF∥AB.设图中三个四边形的面积依次是S1,S2,S3,若S1+S3=20,则S1=,S2=.18.如图,在△ABC中,已知AB=AC=5cm,BC=8 cm,点P在边BC上沿B到C的方向以每秒1cm的速度运动(不与点B,C重合),点Q在AC上,且满足∠APQ =∠B,设点P运动时间为t秒,当△APQ是等腰三角形时,t=.三.解答题(共8小题,66分)19.(本小题6分)(1)计算:sin60°﹣cos45°+tan230°;(2)若==≠0,求的值.20.(本小题8分)在一个不透明的袋子里有1个红球,1个黄球和n个白球,它们除颜色外其余都相同.(1)从这个袋子里摸出一个球,记录其颜色,然后放回,摇均匀后,重复该实验,经过大量实验后,发现摸到白球的频率稳定于0.5左右,求n的值;(2)在(1)的条件下,先从这个袋中摸出一个球,记录其颜色,放回,摇均匀后,再从袋中摸出一个球,记录其颜色.请用画树状图或者列表的方法,求出先后两次摸出不同颜色的两个球的概率.21.(本小题8分)如图,小山岗的斜坡AC的坡度是,在与山脚C距离200米的D处,测得山顶A的仰角为26.6°,求小山岗的高AB(结果取整数)(参考数据:sin26.6°≈0.45,cos26.6°≈0.89,tan26.6°≈0.50).22.(本小题10分)如图,四边形ABCD中,AC平分∠DAB,∠ADC=∠ACB=90°,E为AB的中点,(1)求证:AC2=AB•AD;(2)求证:△AFD∽△CFE.23.(本小题10分)我市某电器商场根据民众健康需要,代理销售某种家用空气净化器,其进价是200元/台.经过市场销售后发现:在一个月内,当售价是400元/台时,可售出200台,且售价每降低10元,就可多售出50台.若供货商规定这种空气净化器售价不能低于300元/台,代理销售商每月要完成不低于450台的销售任务.(1)试确定月销售量y(台)与售价x(元/台)之间的函数关系式和自变量x的范围;(2)当售价x(元/台)定为多少时,商场每月销售这种空气净化器所获得的利润w(元)最大?最大利润是多少?24.(本小题10分)如图,AB是⊙O的直径,BD是⊙O的弦,延长BD到点C,使DC=BD,连结AC交⊙O于点F.(1)AB与AC的大小有什么关系?请说明理由;(2)若AB=8,∠BAC=45°,求:图中阴影部分的面积.25.(本小题12分)定义:在一个三角形中,若存在两条边 x 和 y ,使得 y = x 2 ,则称此三角形为“平方三角形”,x 称为平方边.(1)若等边三角形为平方三角形,则面积为 43是 ▲ 命题; 有一个角为 30°且有一条直角边为 2 的直角三角形是平方三角形”是 ▲ 命题;(填“真”或“假”)(2)若a ,b ,c 是平方三角形的三条边,平方边 a=2,若三角形中存在一个角为 60°,求 c 的值;(3)如图,在△ABC 中,D 是 BC 上一点.①若∠CAD=∠B ,CD=1,求证,△ABC 是平方三角形;②若∠C=90°,BD=1,AC=m ,CD=n ,求 tan DAB .(用含m ,n 的代数式表示)26.(本小题14分)如图,抛物线y=ax2+bx﹣3与x轴交于A,B两点(A点在B点左侧),A(﹣1,0),B(3,0),直线l与抛物线交于A,C两点,其中C点的横坐标为2.(1)求抛物线的函数解析式;(2)P是线段AC上的一个动点,过P点作y轴的平行线交抛物线于E点,求线段PE长度的最大值;(3)点G是抛物线上的动点,在x轴上是否存在点F,使A,C,F,G这样的四个点为顶点的四边形是平行四边形?如果存在,求出所有满足条件的F点坐标;如果不存在,请说明理由.2019-2020学年九年级第一学期数学月考答案一.选择题(共12小题,4*12=48) 123456789101112DBCCABCADDAB二.填空题(共6小题,4*6=24)13. 6 14. 2)2(+-=x y 15.7416. 4,72 17. 2, 6 18. 3或839三.解答题(共8小题,66分)19.(本小题6分)(1)sin60°﹣cos45°+tan230°,=×﹣×+()2,=﹣1+,=……………3分(2)若==≠0,求的值.解:设===k(k≠0),则x=2k,y=3k,z=4k,……………4分所以,==.……………6分20.(本小题8分)解:(1)根据题意得:,解得n=2;……………2分(2)画树状图如下:……………6分由树状图知,共有16种等可能结果,其中先后两次摸出不同颜色的两个球的结果数为10,∴先后两次摸出不同颜色的两个球的概率为.……………8分21.(本小题8分)解:在直角三角形ABC中,∵=,∴BC=.……………2分在直角三角形ADB中,∵tan26.6°=0.50,∴.∴BD=2AB.……………4分∵BD﹣BC=CD=200,∴.……………6分解得:AB=300米.……………8分∴小山岗的高度为300米.22.(本小题10分)(1)证明:∵AC平分∠DAB,∴∠DAC=∠CAB,……………1分∵∠ADC=∠ACB=90°,∴△ADC∽△ACB,……………3分∴AD:AC=AC:AB,∴AC2=AB•AD;……………5分(2)证明:∵E为AB的中点,∴CE=BE=AE,……………6分∴∠EAC=∠ECA,∵∠DAC=∠CAB,∴∠DAC=∠ECA,∴CE∥AD,……………8分∴△AFD∽△CFE.……………10分23.(本小题10分)解:(1)根据题中条件销售价每降低10元,月销售量就可多售出50台,则月销售量y(台)与售价x(元/台)之间的函数关系式:y=200+50×,化简得:y=﹣5x+2200;……………3分根据供货商规定这种空气净化器售价不能低于300元/台,代理销售商每月要完成不低于450台,则,……………4分解得:300≤x≤350.……………5分所以y与x之间的函数关系式为:y=﹣5x+2200(300≤x≤350);(2)W=(x﹣200)(﹣5x+2200),整理得:W=﹣5(x﹣320)2+72000.……………8分∵x=320在300≤x≤350内,∴当x=320时,最大值为72000,即售价定为320元/台时,商场每月销售这种空气净化器所获得的利润w最大,最大利润是72000元.……………10分24.(本小题10分)解:(1)AB=AC.……………1分理由是:连接AD.∵AB是⊙O的直径,∴∠ADB=90°,即AD⊥BC,又∵DC=BD,∴AB=AC;……………4分(2)连接OD、过D作DH⊥AB.∵AB=8,∠BAC=45°,∴∠BOD=45°,OB=OD=4,∴DH=2∴△OBD 的面积= (6)分扇形OBD的面积=, (8)分阴影部分面积=. ……………10分(三角形面积也可用αsin 21ab S =来求解)25. (本小题12分)解(1) 真, 假 ……………………2分 (2)第一种情况:=4; ……………………3分第二种情况:.①若60°为a,b夹角,如图(1),则; …………… 5分②若60°为a,c夹角,如图(2),则c=;……………7分其余情况不成立.所以或或.(3)①证明:∵∠CAD=∠B,∠C=∠C;∴△CAD∽△CBA∴即.又∵CD=1∴即△ABC为平方三角形. ……………9分②延长CD至点E,使得∠E=∠DAB,连结AE,∵∠E=∠DAB,∠ADB=∠EDA;∴△DAB∽△DEA;∴即.又∵∠C=90°,CD=n,AC=m,∴,又∵BD=1,∴=. …………… 12分26. (本小题12分)解:(1)∵抛物线y=ax 2+bx ﹣3与x 轴交于A (﹣1,0),B (3,0),∴,解得:⎩⎨⎧-==21b a ,∴抛物线的函数解析式为:y=x 2﹣2x ﹣3; ……………2分 (2)∵点C 在抛物线上,且点C 的横坐标为2, ∴y=4﹣4﹣3=﹣3,∴点C 的坐标为(2,﹣3), 设直线AC 的解析式为:y=kx +b ,∴,解得:,∴直线AC的解析式为:y=﹣x﹣1,……………3分设点P的横坐标为x(﹣1≤x≤2),则P、E的坐标分别为P(x,﹣x﹣1),E(x,x2﹣2x﹣3),∵点P在点E的上方,∴PE=(﹣x﹣1)﹣(x2﹣2x﹣3)=﹣x2+x+2=,……………5分∵﹣1<0,开口向下,﹣1≤x≤2,∴当x=时,PE最大=;……………6分(3)存在4个这样的点F,分别是F1(1,0),F2(﹣3,0),F3(4+,0),F4(4﹣,0).∵A,C,F,G这样的四个点为顶点的四边形是平行四边形①如图1,四边形AFGC是平行四边形,此时CG∥AF,∴AF=CG=2,∴点F的坐标为(﹣3,0);……………8分②如图2,四边形AGCF是平行四边形,此时CG∥FA,∴AF=CG=2,∵点A的坐标为(﹣1,0),∴点F的坐标为(1,0);……………10分③如图3,四边形ACFG时平行四边形,此时AC∥GF,此时点C,G两点的纵坐标互为相反数,故点G的纵坐标为3,且点G在抛物线上,∴x2﹣2x﹣3=3,解得:x1=1+,x2=1﹣(舍去),∴点G的坐标为(1+,3),∵GF∥AC,∴设直线GF的解析式为:y=﹣x+h,∴﹣(1+)+h=3,解得:h=4+,∴直线GH的解析式为:y=﹣x+4+,∴直线GF与x轴的交点F的坐标为(4+,0);……………12分④如图4,同③可求得点F的坐标为(4﹣,0),……………14分综上所述,存在4个这样的点F,分别是F1(1,0),F2(﹣3,0),F3(4+,0),F4(4﹣,0).。

浙教版科学七年级上册12月月考试卷含答案

浙教版科学七年级上册12月月考试卷含答案

七年级上册科学12月月考试卷一、选择题(共20题;共40分)1.(2分)在中学生科学素养探究实践能力操作考查时,部分实验需要使用胶头滴管的操作。

下列关于胶头滴管的操作正确的是( )A.吸取液体B.取液后倒置C.吸取液体D.使用后归位2.(2分)在检查火车轨道是否有裂缝时,我们习惯用工具来"敲打铁轨,再用耳朵来听”,然后根据发出的声音来判断轨道悬否有裂缝。

就“敲打铁轨,再用耳朵来听”这个环节,类似于科学探究中的( )A.提出问题B.建立假设C.得出结论D.收集事实证据3.(2分)用量筒量取溶液,仰视凹液面最低出,读数为15毫升;倒出部分液体后,俯视凹液面的最低处,读数为9毫升。

则该学生实际倒出的溶液体积()A.小于6毫升B.大于6毫升C.等于6毫升D.无法确定范围4.(2分)一名同学用同一把刻度尺测量同一个物体的长度,测量结果分别为17.82cm,17.83cm,17.81cm,17.28cm,17.83cm,则此物体的长度为( )A.17.8225cm B.17.823cm C.17.82cm D.17.71cm5.(2分)下列不属于自然现象的是( )A.蜗牛夏眠B.大雪纷飞C.“蛟龙”潜水器下海D.地震6.(2分)生物与非生物的根本区别在于生物具有生命特征。

如图是兰花螳螂经历第一次蜕皮,从外形上看仿佛就是一朵兰花。

下列有关其生命特征错误的是( )A.能进行生长发育B.能进行光合作用C.能对外界刺激作出反应D.能适应环境7.(2分)小文实验室进行“制作口腔上皮细胞临时装片并用显微镜观察”的实验。

在观察的过程中,出现以下情形(如图),其中操作和描述都正确的是( )A.图甲盖盖玻片方式可防止装片上出现气泡B.图乙中物镜由①转换到②后,视野中细胞数目变多,视野变暗C.图丙中中a、b两个步骤滴加的液体分别是生理盐水和碘液D.图丁中经染色的口腔上皮细胞中颜色最深的是细胞核8.(2分)金鱼藻是一种常见的水生植物,它能在水下开花,金鱼藻属于( )A.苔藓植物B.蕨类植物C.裸子植物D.被子植物9.(2分)生物检索表常用来鉴定生物的种类。

2021年浙江省杭州市民办东方中学高二物理月考试题带解析

2021年浙江省杭州市民办东方中学高二物理月考试题带解析

2021年浙江省杭州市民办东方中学高二物理月考试题含解析一、选择题:本题共5小题,每小题3分,共计15分.每小题只有一个选项符合题意1. 如图10所示,一带正电的滑块从粗糙斜面的顶端由静止开始滑至底端时的速率为v(不加磁场)。

若加一个垂直纸面向外的匀强磁场,当滑块沿斜面滑至底端时的速率与v相比A.不变 B.变小 C.变大 D.条件不足,无法判断参考答案:C2. (单选题)如图,用理想变压器给电灯L供电,如果只增加副线圈匝数,其它条件不变,则A.变压器输入电压U1增大B.电灯L变亮C.变压器输入功率不变D.电流表示数减少参考答案:B3. 如图,一通电螺线管通有图示电流,1、2、4小磁针放在螺线管周围,3小磁针放在螺线管内部,四个小磁针静止在如图所示位置,则四个小磁针的N、S极标注正确的是()A.1 B.2 C.3 D.4参考答案:B 【考点】通电直导线和通电线圈周围磁场的方向.【分析】先根据右手螺旋定则判断通电螺旋管的磁感线,再据磁场方向的规定判断四个小磁针N、S 是否正确.【解答】解:由右手螺旋定则可知,通电螺旋管的右侧等效为N极,据磁感线的分布和小磁针静止时N极所指的方向,所以1、3、4错误,2正确,故ACD错误,B正确.故选:B.4. 一只电饭煲和一台洗衣机同时并入u=311sin314tV的交流电源上,均正常工作,用电流表分别测得电饭煲的电流是5A;洗衣机的电流是0.5A,下列说法正确的是()A.电饭煲的电阻是44Ω,洗衣机电动机线圈电阻是440ΩB.电饭煲消耗的功率为1555W,洗衣机电动机消耗的功率为155.5WC.1分钟内电饭煲消耗的电能为6.6×104J,洗衣机电动机消耗的电能为6.6×103JD.电饭煲发热功率是洗衣机电动机发热功率的10倍参考答案:C5. (单选)如图所示,两根细线长度均为2m,A细线竖直悬挂且在悬点O处穿有一个金属小球a,B 悬挂在悬点处,细线下端系有一金属小球b,并且有ma>mb,把金属小球b向某一侧拉开3cm到处,然后同时让金属小球a、b由静止开始释放(不计阻力和摩擦),则两小球的最终情况是(A)a小球先到达最低点,不可能和b小球在最低点相碰撞;(B)b小球先到达最低点,不可能和a小球在最低点相碰撞;(C)a、b两小球恰好在最低点处发生碰撞;(D)因不知道ma、mb的具体数值,所以无法判断最终两小球的最终情况。

2020-2021学年浙江省杭州市民办东方中学高三物理月考试卷含解析

2020-2021学年浙江省杭州市民办东方中学高三物理月考试卷含解析

2020-2021学年浙江省杭州市民办东方中学高三物理月考试卷含解析一、选择题:本题共5小题,每小题3分,共计15分.每小题只有一个选项符合题意1. 如图所示,竖直向下的匀强磁场穿过光滑的绝缘水平面,在平面上的O点处固定一带电荷量为+Q的小球M,带电荷量为-q的小球m以半径为R,线速度为v,绕着O点沿逆时针方向做匀速圆周运动. 若某时刻突然将小球M除去,则小球m可能出现以下哪种运动形式A.仍以O点为圆心,半径为R,线速度为v,沿逆时针方向做匀速圆周运动B.以另一点为圆心,半径为R,线速度为v,沿顺时针方向做匀速圆周运动C.以另一点为圆心,半径小于R,线速度小于v,沿顺时针方向做匀速圆周运动D.沿原线速度方向做匀速直线运动参考答案:答案:B2.关于热力学规律有下列说法,其中正确的是A.物体的温度越高,物体的动能越大B.对物体做功不可能使物体的温度升高C.用活塞压缩汽缸里的空气,对空气做了900 J的功,同时汽缸向外散热200 J,则汽缸里的空气的内能增加了700 JD.热量不能自发的从低温物体传到高温物体E.气体不对外做功,气体分子的平均动能也可能改变参考答案:3. (多选)一质点沿螺旋线自外向内运动,如图所示。

已知其走过的弧长s与时间t的一次方成正比。

则关于该质点的运动下列说法正确的是()A.小球运动的线速度越来越大B.小球运动的加速度越来越大C.小球运动的角速度越来越大D.小球所受的合外力不变参考答案:BC4. 如图所示,皮带是水平的,当皮带不动时,为使物体向右匀速运动而作用在物体上的水平拉力为F1;当皮带向左运动时,为使物体向右匀速运动而作用在物体上的水平拉力为F2,则A.F1 = F2 B.F1 > F2C.F1 < F2 D.以上三种情况都有可能参考答案:A5. 在抗洪抢险中,战士驾驶摩托艇救人。

假设江岸是平直的,洪水沿江向下游流去,水流速度为v1,摩托艇在静水中的航速为v2,战士救人的地点A离岸边最近处O的距离为d。

2020-2021学年杭州市东方中学高三英语月考试卷及答案

2020-2021学年杭州市东方中学高三英语月考试卷及答案

2020-2021学年杭州市东方中学高三英语月考试卷及答案第一部分阅读(共两节,满分40分)第一节(共15小题;每小题2分,满分30分)阅读下列短文,从每题所给的A、B、C、D四个选项中选出最佳选项ABook reading is certainly one of the most absorbing habits. For young adults who love to read, finding some good books to read is very essential. Writing a book review can help you to improve your language and writing skills.The Book ThiefListed onThe New York Times Children’s Best Seller List for over 100 weeks, The Book Thief by Markus Zusak is the story of a young girl in the Nazi camps set during World War II. So, if you love history and wish to learn how the life was during Adolf Hitler’s time, read this historic book.The Diary of Young GirlEven Anne Frank can not have imagined that her personal diary written during World War II would become such a popular book. It’s a must read that describes the situation of a family in the evils of wars through the eyes of a teenager.Animal FarmAnimal Farm is one of the most popular books by George Orwell. It is just a reflection of the Stalin and World War II period that has been so creatively presented in this book. It is an interesting example of how literature can be used to present conditions common in the society.Adventures of Huckleberry FinnMark Twain’s Adventures of Huckleberry Finn is one of the great American novels in history, and is certainly a great pick for young adults. Young Huck Finn and his mischief along with the color1 ful description of people around theMississippi Rivermake this novel a great book to read.1.Which book describes the author’s own experiences according to this passage?A.The Book ThiefB.The Diary of Young GirlC.Animal FarmD.Adventures of Huckleberry Finn2.What do the first three books have in common?A.All of them are about wars.B.All of them are about farms.C.All of them are intended for history lovers.D.All of them were written during World War II.3.The purpose of this passage is to _________.A.instruct youngsters how to improve skillsB.tell youngsters some wonderful reading habitsC.introduce several good books to youngstersD.give youngsters advice on writing a book reviewBLearning to say “yes, and”When I first heard about the improvisation (即兴交流) class, I was hesitating. As a quiet and shy girl, I feared improvising in front of strangers. However,I knew I wanted to work as a science communicator after finishing my Ph.D., so it seemed like a perfect opportunity to learn how to speak and communicate with others effectively. I signed up, knowing the experience would give me help.During our first class, we learned an important concept of improvisation: “yes, and.” It means that, as improvisers, we’d better accept what fellow performers say. If someone says that rhinos (犀牛) are librarians, for example, then rhinos are librarians. We do not question the logic; we say “yes” and then continue with the scene as if nothing is wrong.The first few scenes were hard, but as weeks turned into months, I became more comfortable andeven started to enjoy our classes. I became better at listening, relating to my conversation partners, and communicating clearly in the moment. Once when I was giving a presentation about my science, an audience member surprised me with a question that didn’t grow out of the information I’d presented. Instead of getting confused and nervous, I took the “yes, and” approach—accepting the question and letting my mind focus on why it was asked. That helped me find an appropriate answer. I got pretty excited about it.The benefits of improvisation go beyond communication. Before attending the class, I would get stuck when my experiments produced unexpected data, thinking that I had made a mistake. But now, instead of getting discouraged, I will stay open to the possibility that the results are real, keep exploring the data and end up identifying a new type of cell—one that isn’t behaving as expected.I think all scientists can benefit from this lesson. If the data say rhinos are librarians, then it’s worth findingout whether rhinos are, in fact, librarians. As scientists, our job isn’t to challenge data that support a preconceived (先入为主的) story, but to say “yes, and.”4. Why did the author attend the improvisation class?A. To get a different experience.B. To finish her Ph.D. at university.C. To give up her job as a science communicator.D. To improve her speaking and communicating ability.5. What was the author’s change after attending the improvisation class?A. She formed her own idea quickly.B. She came up with lots of creative responses.C. She paid more attention to the logic of answers.D. She became a good listener before giving an opinion.6. The author mentions applying the “yes, and” approach to her scientific experiments to ______.A. explain the process of using the methodB. prove the benefits of the improvisation classC. share her own research experiences with readersD. attract fellow scientists to attend the improvisation class7. What can be inferred about scientists from the last paragraph?A. They should attend the improvisation class.B. They should question all preconceived ideas.C. They should carry on research by admitting earlier data.D. They should try to improve their professional knowledge.CAs one of the world’smost popular cultural mediums, cinema is at the leading position at the Taihu World Cultural Forum(论坛), an annual event that aims to improve cultural exchanges. So far this year, Chinese box office has already topped 58 billion yuan, the China Film Administration said. This indicates that China, the world’s second-largest movie market, is closing the gap with the United States, the world’s top cinema market.Cao Yin, director of the program center at China Movie Channel, said that China has 67,000 cinema screens. the most of any country, and the number is expected to increase to 80,000 by the end of next year. Saying that China has signed coproduction agreements with 22 countries (including the United States, Canada, Japan. India etc.) ,Cao added it has deepened cinematic exchanges between Chinese filmmakers and their foreign counterparts (同行).With the country’s huge native market, which produced more than 1,000 films in 2019, Hong Kong director Stanley Tong said he believes foreign filmmakers will increasingly seek cooperation with China. “International coproduction will become an important platform to send Chinese stories oversea and give us a broader vision of creation,” Tong said.Recently, over 80 percent of the world’s top 100 highest box-office titles have been action films. Tong said the films, in which plots are basically secondary to shining stunts (特技), is one of the easiest ways to appeal to foreign audiences. But it has been a decades-long struggle for Chinese filmmakers to sell their stories overseas. When asked what kinds of Chinese films would have the most global appeal. Yan Zhaozhu, chairman of the Taihu World Cultural Forum, said stories that address universal issues, such as environmental protection and climate change, are perhaps the best options.8. What is the purpose of the Taihu World Cultural Forum?A. To strengthen cultural exchanges.B. To build more cinemas in China.C. To invite more tourists to Taihu.D. To attract more international investment.9. What can we infer about Cao Yin’s opinion in Paragraph 2?A. Chinese box office has already overtaken the United States so farB. The screens of Chinese cinemas will be world-leading in the futureC. China has signed the most coproduction agreements with other countriesD. There will be more and more cooperations between Chinese filmmakers and other countries.10. How do Chinese filmmakers feel about selling their movies to the world right now?A. Easy.B. Disappointed.C. Challenged.D. Confused.11. What is the best title for the text?A. Box Office: Unclear FutureB. China: Top Second Movie MarketC. Cinema: The Leading Cultural PositionD. Chinese Filmmakers: Severe Competition SituationDWhen Jennifer Doudna was in sixth grade, she came home one day to find that her dad had lefta book titledThe Double Helix on her bed. She put it aside, thinking it was one of those detective tales she loved.On a rainy Saturday, she picked up the book. As she sped through the pages, she became fascinated by the drama, which encouraged her to explore nature's wonders. Even though her high school teacher told her that girls didn't become scientists, she decided she would.She worked with a biologist, Charpentier, to turn a curiosity of nature into an invention—an easy-to-use tool that can edit DNA. Known as Crispr, the tool will transform the human race. James Watson, the author of The Double Helix, later told her it was the most important biological advance: since he and Francis Crick discovered the structure of DNA.For this achievement, Doudna and Charpentier were awarded the Nobel Prize in Chemistry in 2020. Until now, only five women, beginning with Marie Curie in 1911, had won or shared the Nobel for Chemistry out of 184 award winners. When this year's prize was announced, Dr. Charpentier said it would provide a message specifically to young girls who would like to follow the path of science and to show them that women can also be awarded prizes.A few decades from now, if it becomes possible and sate to edit DNA, should we allow parents to improve the IQ and physical strength of their kids? Should we let them decide eye color1 ? Skin color1 ? Height? After helping to discover Crispr, Dr. Doudna has become a leader in considering these moral issues. That's the main message we should take from this Nobel: New technologies can be a huge benefit to the human race, but in order to make sure they are used wisely, it's important for people to understand them.12. Jennifer Doudna decided to become a scientist because,__________A. her father pushed herB. a book inspired herC. her teacher encouraged herD. James Watson motivated her13. Dr. Doudna was awarded the Nobel Prize because,__________.A. she wrote the book “The Double Helix"B. she discovered the structure of DNAC. she is a hardworking woman scientistD. she helped invent a tool for editing DNA14. According to passage, which of the following is NOT true?A. The two women's success will inspire more girls to be devoted to science.B. Since 1911, there have been 184 people who won the Nobel for chemistry.C. If girls follow the path of science, they will surely achieve their goals.D. Crispr will make a big difference to the human race.15. Which words can best describe Jennifer Doudna?A. Determined and responsible.B. Ambitious and humorous.C. Cruel and indifferent.D. Fearless and stubborn.第二节(共5小题;每小题2分,满分10分)阅读下面短文,从短文后的选项中选出可以填入空白处的最佳选项。

2020届杭州市东方中学高三英语月考试卷及参考答案

2020届杭州市东方中学高三英语月考试卷及参考答案

2020届杭州市东方中学高三英语月考试卷及参考答案第一部分阅读(共两节,满分40分)第一节(共15小题;每小题2分,满分30分)阅读下列短文,从每题所给的A、B、C、D四个选项中选出最佳选项AThis online course is designed to provide you with work-ready skills including responding to job advertisements,writing application letters and resumes(简历)and developing inter-view skills.What topics will it cover?● The recruitment(招聘)and selection process● The job application● Planning for the interview● Developing interview skillsWhat will you achieve?By the end of the course,you'll be able to...● Assess the recruitment and selection process from an employer's point of view● Interpret an advertisement,job description and selection criteria correctly● Model a well-written job application● Plan for a job interviewWho is the course for?While this course appeals to trainees and graduates,it also applies to job seekersin the broader community looking to increasing their confidence and success rate when applying for work.Who develops the course?Central Queensland University.It is Australia's leading regional university.Our courses are designed alongside industry andmany include hands-on learning experiences and project-based learning.Our commitment to making real-world knowledge and skills accessible to all has seen us being awarded global recognition.1. What will students learn if they take the online course?A. The way to write a resume.B. The way to put an advertisement.C. The skills of talking with others.D. The skills of improving reading.2. Who is the online course intended for?A. Trainers.B. Interviewers.C. Job seekers.D. College students.3. Which ofthe following best describes the online course?A Cheap. B. Practical. C. Long-standing. D. World-class.BThese days, football is one of the most popular sports in the world. Given that Neil Armstrong wanted to take a football to the Moon, we could even say that it is also the most popular sport out of this world! The history of the game goes back over two thousand years to Ancient China. It was then known as cuju (kick ball), a game using a ball of animal skins with hair inside. Goals were hung in the air. Football as we know it today started inGreat Britain, where the game was given new rules.That football is such a simple game to play is perhaps the basis of its popularity. It is also a game that is very cheap to play. You don’t need expensive equipment; even the ball doesn’t have to cost much money. All over the world you can see kids playing to their hearts’ content with a ball made of plastic bags.Another factor behind football’s global popularity is the creativity and excitement on the field. It is fun enough to attract millions of people. You do not have to be a fan to recognize the skill of professional players or to feel the excitement of a game ending with a surprising twist.What’s more, football has become one of the best ways for people to communicate: it does not require words, but everyone understands it. It breaks down walls and brings people together on and off the field.“Some people believe football is a matter of life and death, ...” said Bill Shankly, the famous footballer and manager. “I can tell you with certainty it is much, much more important than that.” This might sound funny, but one only has to think about the Earth to realize that our planet is shaped like a football.4. What can we know from paragraph one?A. Some people like to play football on the Moon.B. The game called cuju was given new rules today.C. Cuju is different from football as we know it today.D. Many people like playing a ball made of plastic bags.5. According to the author, there are ________ reasons why football became so popular in the world.A. 3B. 4C. 5D. 66. What can be inferred from the last paragraph?A. Football is round.B. Football is more than just a sport.C. Our planet is shaped like a football.D. What Bill Shankly said sounds funny.7. What’s the author’s purpose in writing the passage?A. To talk about the history of football.B. To express his/her love of football.C. To explain why football is such a popular game.D. To prove that he/she is a professional football fan.CChimps use loud calls and gestures to make their feelings known but until now, the exact meaning for individual movements has remained a mystery. Now researchers believe they have translated the key gestures used in the chimp community and identified their intentions for the first time.From 4,351 gestures, experts were able to identify 66 that are used for 19 specific message meanings, including showing a foot to tell a child they can climb on their back. The researchers were able to narrow down these 66 gestures to 36 that are used intentionally to achieve 15 purposes. The translations were made by Dr Catherine Hobaiter and her colleagues at St Andrews University in Scotland.Dr Hobaiter used behavior sampling and filmed all recorded cases of gestural communication. Other gestures include stomping their feet to ask another chimp to stop what they are doing, and slapping objects together to ask another to follow them. Of the 19 meanings,17 encouraged interactions to start, or to develop, such as “move closer,” and “change play”. Some of the gestures were found to have more than one meaning. and only 10 of the 66 gestures were used for only a single meaning.Researchers collected a total of 471 video clips from two social groups of chimps at a shelter near Kinshasa, Democratic Republic of Congo. As well as identifying what the gesture means, they also discovered the technique needed to increase the chances of success.“Human children use gestures to communicate before they produce their first words, and their earliest gestures typically appear around 10 months of age,” explained the researchers. “In great apes, there is good evidence that language-trained individuals are capable of acquiring and understanding signals, but this is far less clear in their natural communication. ”8. Chimps slap the objects to____________.A. tell others to stop what they are doingB. ask others chimps to join themC. gather other chimps to move closerD. encourage interactions to start9. What did researchers find after studying 471 video clips?A. Chimps trained in language are good at understanding signals.B. Two social groups of chimps live at a shelter near Kinshasa.C. Language-trained individuals do well in natural communication.D. Chimps’earliest gestures appear around 10 months of age.10. How is the last paragraph developed?A. By analyzing causes.B. By examining differences.C By making comparisons. D. By following time order.11. What can be a suitable title for the text?A A New Research on Chimps B. Human Children and ChimpsC. Getting the Chimps Trained for LanguageD. Translating the Sign Language of ChimpsDThe United Nations Educational, Scientific and Cultural Organization (UNESCO) included on December 17, 2020 China's Tai Chi on the RepresentativeList of the Intangible(无形的)Cultural Heritage of Humanity. The decision was announced during the online meeting of the UNESCO Intergovernmental Committee for the Safeguarding of the Intangible Cultural Heritage held from December 14 to19 inKingston, capital ofJamaica.“Born in the mid-17th century in a small village named Chenjiagou located in Central China's Henan province, Tai Chi is not only a kind of traditional Wushu integrated with slow movements and deep breathing, but is also deeply rooted in many areas of Chinese culture, such as medicine and philosophy,”Zhu Xianghua says, who is the son of the famous Tai Chi master Zhu Tiancai.Although it has spread to more than 150 countries and regions, attracting more than 100 million people to practice, the idea that Tai Chi is for the elderly has stopped many young people practicing the ancient Wushu. They think of it as a slow exercise, which is specially made and better suited for their grandparents. Instead, many young people are turning to the Indian practice of yoga(瑜伽)to relieve stress, which was placed on the UNESCO's List in 2019.In order to promote Tai Chi, joint efforts have been made from individuals and the Chinese government in the last decades. Xi'an Jiaotong University requires students to learn Tai Chi. Wang Yunbing, a professor in the university's sports center, stressed that Tai Chi is not only good physical exercise-researchers from the American College of Rheumatology find that it can help manage several diseases but is also conned ted to ancient Chinese eivilization. Since 2014, the World Tai Chi Championships have been held every two years by the International Wushu Federation. It provides a platform for communication and learning between the Tai Chi masters and Tai Chilovers around the globe. In January 2020, Tai Chi became an official event in the 2026 Dakar Youth Olympic Games.12. What does Zhu Xianghua say about Tai Chi in paragraph 2?A. It originated from fast Kung Fu action.B. It was born around the 1750s in a village.C. It is related to other cultural fields ofChina.D. It integrates Chinese medicine and western philosophy.13. Why do some young people choose to practice yoga instead of Tai Chi?A. They think it easier to practice yoga to keep fit.B. The elderly stop young people practicing Tai Chi.C. They consider Tai Chi is custom-built for old people.D. Yoga was included in the world culture earlier than Tai Chi.14. What is the main purpose of the last paragraph?A. To promote contemporary Chinese civilization.B. To show many efforts made to popularize Tai Chi.C. To stress the importance of Chinese Tai Chi masters.D. To advise people to practise Tai Chi to cure diseases.15.Which of the following is the best title for the passage?A. Tai Chi Steps on the UNESCO's List.B. Tai Chi is Competing against Yoga.C. Tai Chi Has Regained populate Globally.D. Opinions Greatly Differ on Tai Chi and Yoga.第二节(共5小题;每小题2分,满分10分)阅读下面短文,从短文后的选项中选出可以填入空白处的最佳选项。

浙江省杭州市九年级英语12月月考试题

浙江省杭州市九年级英语12月月考试题

浙江省杭州市九年级英语12月月考试题考生须知:1.本考试满分120分,考试时间100分钟。

2.考生必须在答题纸的对应位置答题,写在其他地方无效。

听力部分(25分)一、听小对话回答问题:(共5小题,计5分)听下面5段对话,每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试题的相应位置,听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. Where is Jack?A. In the classroom.B. In the library.C. On the playground.2. What sport does Jim like?A. Basketball.B. Football.C. Table tennis.3. Why does Paul look worried?A. Because he’s afraid of studying.B. Because he’s tro uble learning English.C. Because he doesn’t like English.4. How old is Tina now?A. Twenty-five.B. Fifteen..C. Forty-five.5. When will the train leave?A. At 3:30.B. At 3:10.C. At 3:50.二、听长对话回答问题:(共6小题,计12分)听下面两段长对话。

每段对话后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项。

听每段话前,你有时间阅读各个小题,每小题5秒钟;听完后,各小题给出5秒钟的作答时间,每段对话读两遍。

听下面一段对话,回答第6和第8三个小题。

现在,你有15秒的时间阅读这两个小题。

6. When does Lucy want to watch the video?A. At noon.B. In the afternoon.C. Tomorrow morning.7. What did John do before going to school this morning?A. he went running.B. He went swimming.C. He went climbing.8. Who will bring the video to school?A. John..B. John’s mother.C. John’s grandma.听下面一段对话,回答第9至第11三个小题,现在你有15秒钟的时间阅读这三个小题。

杭州市12月九年级语文月考试题及答案

杭州市12月九年级语文月考试题及答案

2017学年九年级12月质量检测语文试题卷满分120分,考试时间120分钟。

一(30分)1.下面语段中加点字的注音全都正确的一项是()冬天的北方寒风凛冽,大雪肆虐,一出门,我蓦.地打了个寒颤.,心想:“这时候,若能在温暖的屋子里,该是多么惬.意啊!”只有红梅,不惧严寒,开放出殷.红的花朵,在风雪中傲然挺立。

A.mòchàn xiàyānB. mùzhàn qièyīnC.mòzhàn qièyānD. mùzhàn xiàyīn2. 下列句子中没有错别字的一项是()(3分)A.在职业生涯的第20个赛季,洛杉矶湖人队科比•布莱恩特正式宣布他将在本赛季结束后退役,这引发了微信朋友圈持续的刷屏感慨。

B. 党中央明确国家安全战略方针和总体布署,推动国家安全工作取得显著成效。

C. 西湖秀美的风景妇儒皆知,一到周末,在杭城读书的大学生常常邀上挚友前往西湖游玩。

D.“不就是等一场久违的雪吗?简直就是小提大作!”穿丝袜的摩登女笑得得意的背后藏着更多的是阴险。

世界迎合了她魅惑的性感,把她水性杨花的个性表现得淋漓尽致。

3.下列句子中加点的词语使用恰当的一项是( )(3分)A.王家卫导演的电影《一代宗师》虽然失意奥斯卡最佳外语片,但获得了奥斯卡最佳摄影和最佳服装设计两项题名..。

B.就算追溯..到天涯海角,中国政府也要将逍遥海外的贪污分子绳之以法。

C.央视春晚上,蔡明将一个退休老人的形象演得绘声绘色....,博得了大家的一致好评。

D.西湖边草长莺飞,春色宜人,各地的游客纷至沓来....,来领略秀美的湖光山色。

4.下列各句中,没有语病的一句是()(3分)A.武亦姝在最后一场比赛中,与陈更、李宜幸、张淼淼强强PK,以317分获得攻擂,最后战胜彭敏,成为冠军。

B.戛纳电影节将于2017年5月在杭州举办MIPCHINA国际影视内容高峰论坛,这是戛纳电视节品牌活动首次登陆中国。

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初一月考数学试题(09.12.22)(问卷)
时间:100分钟 满分:120分
一、选择题:(每题3分,共30分) 1、―(―3)的相反数是 ( )
A 、-3
B 、+3
C 、0.3
D 、13
2、下列各代数式不是整式的是( )
A 、ab
B 、332x y y +-
C 、3x -
D 、n m
3、下列运算正确的是( )
A 、-22
=4 B 、3
1128327⎛⎫
-=- ⎪⎝⎭
C 、81)21(3-=-
D 、6)2(3-=-
4、下列各组数中,互为相反数的一组是( )
A 、-2
B 、 -2与38-
C 、 2-与2
1
-
D 、 2-与2 5、期末统一考试中,A 校满分人数占1%,B 校满分人数占2%,那么满分人数( )
A 、A 校多于
B 校 B 、A 校与B 校一样多
C 、A 校少于B 校
D 、不能比较 6、下列变形中,正确的是( )
A 、若ac=bc ,那么a=b
B 、若a=b ,那么
c
b c a = C 、a =b ,那么a=b D 、若a=b ,那么a 2
=b 2
7、一件商品降价20%出售,一段时间后欲恢复原价,则应提价 ( )
A 、20%
B 、25%
C 、40%
D 、15%
8、平面内有三条直线,它们的交点个数可能有( )种情形.
A 、2
B 、3
C 、4
D 、5 9、两个三次多项式相加,和是( )
A 、六次多项式
B 、不超过三次的整式
C 、不超过三次的多项式
D 、三次多项式 10、7点与8点之间,分针与时针重合的时刻是( )
A 、7点
11418分 B 、7点11419分 C 、7点11420
分 D 、7点11
421分 二、填空题:(每题3分,共30分)
11、用科学记数法表示580000 ___________ .
12、多项式2
5212
x y xy x -
++-是 次 项式,常数项是 .
13、如图,在笔直的公路边种树,将公路看作一条数轴,向东记为正方向,若已经在A 点及原点处各种上一 棵树,要保证每棵树之间的距离相等,第三棵树可种在 _____点.
14、当10≤≤x 时,化简__________12
=-+x x .
15、利用统计图来表示一天24时气温的变化情况可选择 统计图,最不合适的选择是 统计图. 16、若a a =,则a 0 ;若a a -=,则a 0 .
17、小刚在解方程135=-x a (x 为未知数)时,误将x -看作x +,解得方程的解2-=x ,则原方程的
解为__________________.
18、已知∠AOB=40°,过点O 引射线OC ,若∠AOC :∠COB=2:3,且OD 平分∠AOB.则∠COD=_________ . 19、已知关于x 的方程2mx-6=(m+2)x 有正整数解,则整数m 的值是_______________ .
20、一个三位数,将它的各位数字分别按从大到小和从小到大的顺序重新排列,把所得到的两个三位数相减, 若差等于原来的三位数,则称这个三位数为“克隆数”,那么“克隆数”是__________ . 三、解答题:(本大题共60分) 21、(10分)(1)、计算:])3(12[61122009
--⨯-- (2)、解方程:3
2221--=--x x x
(3)、已知2
2
2
2
44,5A x xy y B x xy y =-+=+-,求3A -B.
22、(8分)在解答某些数学问题时,有时会遇到多种可能情况,需要对各种情况加以分类,并逐类求解,然后综合归纳得出问题的正确答案,这就是分类讨论。

分类讨论应当遵循的原则是:分类的对象是确定的,标准是统一的,不遗漏、不重复,科学地划分,分清层次,不越级讨论。

其中最重要的一条是“不重不漏”。

例如:涉及的许多数学概念是分类定义的.请你对下面两个概念分别用两种标准进行分类. (1)、有理数 (2)、实数
23、(10分)今年杭州市中小学开展以感恩和生命为主题的教育活动,各中小学结合学生实际,开展了形式多样的感恩教育活动.下面图①,图②分别是某校调查部分学生是否知道母亲生日情况的扇形统计图和条形统计图.根据图上信息,解答下列问题:
(1)求本次被调查学生的人数,并补全条形统计图;
(2)若全校共有2700名学生,你估计这所学校有多少名学生知道母亲的生日? (3)通过对以上数据的分析,你有何感想?(用一句话回答)
24、(10分小明买了一个体积为41003
cm 的球形礼物,商店里有15×15×153
cm 、20×20×203
cm 、40×40×403
cm
的三种规格的包装盒,盒越大,价格越高。

小明选择哪种包装盒比较合适(π⨯⨯4
球的体积=半径的立方3
)?
25、(10分)方方和圆圆的房间窗帘的装饰物如图(1)、(2)所示,它们
分别由 两个四分之一圆(半径相同)和四个半圆(半径相同)组成, 它们的窗户能射进阳光的面积分别是多少(窗框面积不计)?谁的窗
户射进阳光的面积大?
26、(12分)讨论下列问题的解答: (1)、平面内有n 个点(n ≥2),其中任意三个点都不在同一条直线上,过这些点中的每两个作直线,一共能 作出多少条不同的直线?写出你的思考过程.
(2)、平面内有n 条直线,每两条直线都相交,且没有三条直线相交于同一点.记这n 条直线将这个平面分成 的区域数记为n a ,试求出n a 与n 之间的关系式.
(1)
(2)。

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