为您找到与上海小学五年级第一学期期末试题数学相关的共378个结果:
知识点是知识中的最小单位,最具体的内容,有时候也叫“考点”。那么关于小学四年级数学知识点有哪些呢?以下是小编准备的一些四年级数学知识点及公式,仅供参考。
一、填空
1、学校有足球24个,是篮球的3倍,学校有足球,篮球共( )个
2、甲数是15,乙数比甲数的2倍多3,乙数比甲数多( )
3、甲、乙两数的平均数是14,乙、丙两数的平均数是18,甲、丙两数的平均数是16、甲、乙、丙三数的平均数是( )
二、选择正确答案的字母填在括号里
1、12除24的商乘24与12的差,积是多少?正确列式是 [ ]
A、(24-12)×(24÷12)
B、24÷12×(24-12)
2、生产小组第一天生产玩具24件,第二天生产26件,第三天上午生产18件,下午生产20件、平均每天生产多少件?正确列式是 [ ]
A、(24+26+18+20)÷3
B、(24+26+18+20)÷4
三、列综合算式计算
1、78减去17除102的商,再乘以64,积是多少?
2、23个915除以5的商,比4500少多少?
四、计算下面各题
(2626÷13-112)×45
6970÷(142×3-385)
五、一本书,小华看了45页,没看的比看了的3倍少8页,这本书共有多少页?
六、师徒二人共同加工一批零件,师傅每小时加工125个,徒弟每小时加工100个,8小时完成任务,完成任务时,师傅比徒弟共多加工多少个零件?师傅和徒弟共加工多少个零件?
七、已知甲、乙、丙三个数的平均数是268,丁数为148,求这四个数的'平均数是多少?
八、同学们参加环保活动,六一班42人,平均每人清理环境80平方米,六二班38人,共清理环境2800平方米,两个班平均每人清理环境多少平方米?
参考答案
一、1、32 2、 18 3、16
二、1、A 2、 A
三、1、4608 2、291
四、1、4050 2、170
五、45×3-8+45=172(页)
六、(125-100)×8=200(个)
(125+100)×8=1800(个)
七、(268×3+148)÷4=238
八、(80×42+2800)÷(42+38)= 77(平方米)
关于五年级数学知识点有哪些呢?知识点是知识中的最小单位,最具体的内容,有时候也叫“考点”。以下是小编准备的一些小学五年级数学知识点,仅供参考。
一、数学计算公式:
1、每份数×份数=总数 总数÷每份数=份数 总数÷份数=每份数
2、1倍数×倍数=几倍数 几倍数÷1倍数=倍数 几倍数÷倍数=1倍数
3、速度×时间=路程 路程÷速度=时间 路程÷时间=速度
4、单价×数量=总价 总价÷单价=数量 总价÷数量=单价
5、工作效率×工作时间=工作总量 工作总量÷工作效率=工作时间 工作总量÷工作时间=工作效率
6、加数+加数=和 和-一个加数=另一个加数
7、被减数-减数=差 被减数-差=减数 差+减数=被减数
8、因数×因数=积 积÷一个因数=另一个因数
9、被除数÷除数=商 被除数÷商=除数 商×除数=被除数
二、小学数学图形计算公式
1 正方形 C周长 S面积 a边长 周长=边长×4 C=4a 面积=边长×边长 S=a×a
2 正方体 V:体积 a:棱长 表面积=棱长×棱长×6 S表=a×a×6 体积=棱长×棱长×棱长 V=a×a×a
3 长方形 C周长 S面积 a边长 周长=(长+宽)×2 C=2(a+b) 面积=长×宽 S=ab
4 长方体 V:体积 s:面积 a:长 b: 宽 h:高 表面积(长×宽+长×高+宽×高)×2 S=2(ab+ah+bh) 体积=长×宽×高 V=abh
5 三角形 s面积 a底 h高 面积=底×高÷2 s=ah÷2 三角形高=面积 ×2÷底 三角形底=面积 ×2÷高
6 平行四边形 s面积 a底 h高 面积=底×高 s=ah
7 梯形 s面积 a上底 b下底 h高 面积=(上底+下底)×高÷2 s=(a+b)× h÷2
8 圆形 S面积 C周长 ∏ d=直径 r=半径 周长=直径×∏=2×∏×半径 C=∏d=2∏r 面积=半径×半径×∏
9 圆柱体 v:体积 h:高 s;底面积 r:底面半径 c:底面周长 侧面积=底面周长×高 表面积=侧面积+底面积×2 体积=底面积×高 体积=侧面积÷2×半径
10 圆锥体 v:体积 h:高 s;底面积 r:底面半径 体积=底面积×高÷3
和差问题的公式 (和+差)÷2=大数 (和-差)÷2=小数
和倍问题的公式 和÷(倍数-1)=小数 小数×倍数=大数 (或者 和-小数=大数) 差倍问题的公式 差÷(倍数-1)=小数 小数×倍数=大数 (或 小数+差=大数)
三、植树问题的公式
1 非封闭线路上的植树问题主要可分为以下三种情形:
⑴如果在非封闭线路的两端都要植树,那么: 株数=段数+1=全长÷株距-1 全长=株距×(株数-1) 株距=全长÷(株数-1)
⑵如果在非封闭线路的一端要植树,另一端不要植树,那么: 株数=段数=全长÷株距 全长=株距×株数 株距=全长÷株数
⑶如果在非封闭线路的两端都不要植树,那么: 株数=段数-1=全长÷株距-1 全长=株距×(株数+1) 株距=全长÷(株数+1)
2 封闭线路上的植树问题的数量关系如下 株数=段数=全长÷株距 全长=株距×株数 株距=全长÷株数
四、盈亏问题的公式
(盈+亏)÷两次分配量之差=参加分配的份数 (大盈-小盈)÷两次分配量之差=参加分配的份数 (大亏-小亏)÷两次分配量之差=参加分配的份数
五、相遇问题的公式
相遇路程=速度和×相遇时间 相遇时间=相遇路程÷速度和 速度和=相遇路程÷相遇时间
六、追及问题的公式
追及距离=速度差×追及时间 追及时间=追及距离÷速度差 速度差=追及距离÷追及时间
七、流水问题
顺流速度=静水速度+水流速度 逆流速度=静水速度-水流速度 静水速度=(顺流速度+逆流速度)÷2 水流速度=(顺流速度-逆流速度)÷2
八、浓度问题的公式
溶质的重量+溶剂的重量=溶液的重量 溶质的重量÷溶液的重量×100%=浓度 溶液的重量×浓度=溶质的重量 溶质的重量÷浓度=溶液的重量
九、利润与折扣问题的公式
利润=售出价-成本 利润率=利润÷成本×100%=(售出价÷成本-1)×100% 涨跌金额=本金×涨跌百分比 折扣=实际售价÷原售价×100%(折扣<1) 利息=本金×利率×时间 税后利息=本金×利率×时间×(1-20%)
在平凡的学习生活中,大家最熟悉的就是知识点吧?那么关于二年级数学知识点有哪些呢?以下是小编准备的一些小学二年级数学知识点,仅供参考。
一、直接写出得数。(共20分)
42+20= 30+29= 83+6= 03= 47=
53= 88= 93-7= 96= 53-3+9=
67= 18+60= 85= 37-32-5= 83+4=
75-3= 87= 38-18+25= 9+57= 34+9=
二、填空。(共16分)
1、50米26米=( )米 3米-100厘米=( )米
32厘米19厘米=( )厘米 20米+80米=( )米
( )6=30 ( )8=48 ( )( )=18
7 ( )=42 ( )9=27 ( )( )=36
2、三个小朋友,进行乒乓球比赛,每两人进行一次,一共要进行 次比赛。
3、在下面的( )里最大能填几?
( )27 ( )7 ( )65
( )9 30( ) 4()15 35( ) 45( ) ()15
4、6个3相加,写成乘法算式是( ),这个式子读作( )。
5、填上合适的单位名称。
一支彩笔长约10( )。 妈妈身高1( )62( )。
教室大约长10( )。 木床长约2( )。
6、在○里填上+、-、或、、=。
8○6=48 36○73-37 97○65
2○2=4 43○67 18○9=9
三、选择题,选择正确答案的序号填入括号内。(共10分)
1、5个3相加是多少?正确的列式是()
A、5+5+5=15 B、5+3=8 C、53=15
2、用2、6、0三个数字组成的两位数有()个。
A、2 B、4 C、6、
3、5+5+5+4,不可以改写成算式( )。
A、54 B、53+4 C、45-1
4、4个好朋友见面互相拥抱一次,共要拥抱( )次。
A、3次 B、4次 C、6次
5、下列线中,线段是( )。
① ②
③ ④
四、判断:(共5分)
1、9个4相加的和是13。 ( )
2、小强身高大约是137厘米。 ( )
3、角都有一个端点,两条边。 ( )
4、时针走1小格的.时间是1分。 ( )
5、1条直线长100米。 ( )
五、画一画:(共8分)
1、画一条比10厘米短2厘米的线段。
2、在方格纸上分别画一个锐角、直角、钝角。
六、计算。(共20分)
1、用竖式计算。(12分)
67+32= 46+28+23=
96-54= 82-37-12=
2、列式计算:(共8分)
(1)5个7相加得多少?
(2)两个加数都是18,和是多少?
(3)一个乘数6,另一个乘数是4,积是多少?
(4)比6个9的和多15的数是多少?
七、用数学。(共18分)
1、每辆小客车最多可以坐9人,4辆小客车最多能坐多少人?
答:4辆小客车最多能坐( )人。
2、水果店上午运来48箱水果,下午运来37箱。
①一天共运来多少箱水果?
答:一天共运来( )箱水果。
②卖出56箱,还剩下多少箱?
答:还剩下( )箱。
3、学校有女老师43人,男老师比女老师少27人,学校一共有老师多少人?
答:学校一共有老师( )人。
4、一个茶壶32元,一个茶杯4元。
①买8个茶杯和1个茶壶一共要用多少钱?
答:买8个茶杯和1个茶壶一共要用( )元钱。
②你还能提出其他数学问题并解答吗?
答案:
一、直接写出得数。(共20分)
62 、59、30、0、28 、15、64、20、54、59、42、78、40、0、28、32、56、45、66、21
二、填空。(共16分)
1、24米 、2米、13厘米、100米 、5、6、29或36、6、3 、66或49
2、3次比赛。
3、4、20、8、44、5、3、4、4、2
4、63=18读作:6乘3等于18 ;36=18读作:3乘6等于18。
5、10厘米、1米62厘米、10米、2米。
6、在○里填上+、-、或、、=。
、=、 、+或、、- 。
三、1、C、2、B、3、A、4、C、5、④
四、1、2、3、、4、、5、
五、画一画:(共8分)
1、画一条8厘米的线段。
2、直角要有角标。
六、1、67+32=99 46+28+23=97
96-54=42 82-37-12=33
2、(1)57=35(2)18+18=36(3)64=24
(4)69+15=69
七、1、94=36(人)
2、①48+37=85(箱)②85-56=29(箱)
3、43-27+43=59(人)4、①48+32=64(元)
知识点在教育实践中,是指对某一个知识的泛称,那么小学六年级数学知识点有哪些呢?以下是小编准备的一些小学六年级数学知识点,仅供参考。
一、计算(共12分,其中估算结果用整数表示)
1.口算 0.81+0.29= 4.38-(2.38-1.8)= 4÷15 -14 ÷4=
2.估算 40.2÷7.9≈ 24.9×4.1≈ 199897-9986≈ 万
3.笔算 (480÷75+4.6)×12 24×(512 +115 )×15 12+14+18+116+132
二、选择(将正确答案的序号填在括号里,每题2分,共10分)
4.小红将用一枚硬币抛100次,已经抛了98次,图案向上、向下的各有49次,最后两次都朝上的可能性是( )。
A.二分之一 B.四分之一 C.三分之一
5. 右图中正方体的6个面分别写着A、B、C、
D、E、F,与F相对的面是( )。
A. A B. B C. C
6.宽不变,长方形的面积和长( )。
A.成正比例 B.成反比例 C.不成比例
7.算式19.3512×20.5138的结果是( )。
A.396.96664656 B.396.96664659 C.396.9666466
8.比较两个游泳池的拥挤程度,结果是( )。
A.甲池拥挤 B.乙池拥挤 C.两池一样拥挤
三、填空(每题2分,共20分)
9 9.从六(1)班调29 的人到六(2)班,则两班人数相等,原来六(1)班与六(2)班人数比是( )。
10.一个整数保留到万位近似值是10万,这个数最大是( ),最小是( )。
11.学校买了4个篮球和2个排球共用240元,2个篮球的价钱与3个排球的价钱相等,每个篮球的价钱是( )元。
12.一个下面是圆柱体、上面是圆锥体的容器(如右图),圆柱体的高是10厘米,圆锥体的.高是6厘米,容器内的液面高7厘米。当将这个容器倒过来放时,从圆锥的尖到液面的高是( )厘米。
13.一本书小明每天看16页,将在第13天看完,如果每天看20页,将在第11天看完,这本书最多( )页,最少( )页。
14.如果59<9( ) <1,那么括号中的自然数最大是( ),最小是( )。
15.如图,将一副直角三角板叠放在一起,使直角的顶点重合于点0,那么∠AOC+∠DOB的度数为 ( ) 度。
16.买3千克梨和4千克苹果共需18元,买6千克梨和5千克苹果共需27元,那么买1千克梨需( )元。
17.如图是用15个棱长1厘米的正方体木块摆成的几何体,它的体积是( )立方厘米,表面积是( )平方厘米。
18.某人周末去爬山,上山时每小时行40千米,原路返回时每小时行60千米。此人往返的平均速度是每小时( )千米。
19.如图,梯形ABCD中,三角形ADO的面积为8平方厘米,三角形ABO的面积为24平方厘米,梯形ABCD的面积是( )平方厘米。
四、观察、分析与操作(共18分)
20.根据图形和字母的关系,将ad的图补上。(2分)
21. 长方形ABCD被分成四个面积相等的甲、乙、丙、丁四部分,其中长方形甲的长与宽的比是a:b=3:2,求长方形乙长和宽的比?(请写出你的想法或计算过程)(4分)
22. 下图是用型号相同的黑、白两种三角形瓷砖铺成的图形。(6分)
(1)仔细观察,你能发现图中铺瓷砖的规律吗?按规律作图,第6幅图铺瓷砖一共多少块?
(2)按图中的规律一直铺下去,请算出第8幅图中的黑瓷砖一共多少块?
(3)通过推理或计算,你可以得知第10幅图中白瓷砖共有多少块?
23.(1)在下面的左边的长方形中画一条线段,把它分成一个三角形和一个梯形。使得三角形与梯形的面积比为2:3。(标明必要的数据或等份点)(3分)
(2)画一条直线将右图阴影部分分成面积相等的两部分。(2分)
五、实际应用(第31题6分,其余各5分,共40分)
24.在一幅比例尺为 的地图上,量得盐城到上海的距离约8厘米,一辆汽车从盐城开往上海,5小时到达,这辆汽车每小时行多少千米?
25.小明把压岁钱1000元存入银行,存期2年,年利率为2.25%,到期后,他共能取回多少元?
26.在AB这条新铺的路上等距离安装路灯(两端都装),但要求在C处及AC和BC的中点处都要安装一盏灯,至少需要安装多少盏灯?
27.甲乙两个圆柱体容器,甲的底面半径为4厘米,有20厘米深的水,乙空着,底面直径4厘米,现把甲中的水倒一部分给乙,使两个容器中的水一样高,问甲的水位应下降几厘米?
28.工人王师傅用两天时间加工完成整批零件,第一天加工了60%,装了7盒余20个,第二天加工的零件正好装了5盒,这批零件有多少个?
29.如图,用一张斜边为30厘米的红色直角三角形纸片,一张斜边为50厘米的蓝色直角三角形纸片,一张黄色的正方形纸片,拼成一个大直角三角形,红、蓝两张三角形纸片的面积之和是多少?
30.王叔叔开车从甲地到乙地,去时每小时行60千米,回来时每小时行90千米,来回共用6小时。从甲地到乙地有多少千米?
31. 甲和乙两人同时从自己家出发到对方家去,甲以每秒3米速度去乙家,乙也以一定的速度去甲家。如图是两人出发后,时间与两人之间距离关系的图象,请回答下列问题。
(1)两人在距离甲家多远地方相遇?
(2)乙的速度是每秒多少米?
(3)求图中A、B表示的数。
高三期末考试既是本学期复习的检测和反馈,也是对考生自我定位和规划升学路径的重要参考,同时还是考生适应新高考模式的重要机会。以下是小编为大家收集的关于山东省2022-2023学年高三上学期期末语文试题及答案的相关内容,供大家参考!
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高三期末考试既是本学期复习的检测和反馈,也是对考生自我定位和规划升学路径的重要参考,同时还是考生适应新高考模式的重要机会。以下是小编为大家收集的关于山东省2022-2023学年高三上学期期末语文试题及答案的相关内容,供大家参考!
1、高效的复习,要学会梳理自身学习情况,以课本为基础,结合自己做的笔记、试卷、掌握的薄弱环节、存在的问题等,合理的分配时间,有针对性、具体的去一点一点的去攻克、落实。哪块内容掌握的不好就多花点时间,复习的时候要系统化,不要东一下西一下,最后啥都没复习好。
2、可以学习掌握速读记忆的能力,提高学习复习效率。速读记忆是一种高效的学习、复习方法,其训练原理就在于激活“脑、眼”潜能,培养形成眼脑直映式的阅读、学习方式。速读记忆的练习见《精英特全脑速读记忆训练》,用软件练习,每天一个多小时,一个月的时间,可以把阅读速度提高5、6倍,记忆力、理解力等也会得到相应的提高,最终提高学习、复习效率,取得好成绩。如果你的阅读、学习效率低的话,可以好好的去练习一下。
3、要学会整合知识点。把需要学习的信息、掌握的知识分类,做成思维导图或知识点卡片,会让你的大脑、思维条理清醒,方便记忆、温习、掌握。同时,要学会把新知识和已学知识联系起来,不断糅合、完善你的知识体系。这样能够促进理解,加深记忆。
4、做题的时候要学会反思、归类、整理出对应的解题思路。遇到错的题(粗心做错也好、不会做也罢),最好能把这些错题收集起来,每个科目都建立一个独立的错题集(错题集要归类),当我们进行考前复习的时候,它们是重点复习对象,保证不再同样的问题上再出错、再丢分。
同学们知道高考数学常考的题型有哪些吗,这些题型考察的重点又是什么呢?一起来看看吧,以下是小编准备的一些2024高考数学题型与答题技巧,仅供参考。
新高考数学大题题型一:三角函数、向量、解三角形
三角函数画图、性质、三角恒等变换、和与差公式。
向量的工具性(平面向量背景)。
正弦定理、余弦定理、解三角形背景。
综合题、三角题一般用平面向量进行“包装”,讲究知识的交汇性,或将三角函数与解三角形有机融合。
重视三角恒等变换下的性质探究,重视考查图形图像的变换。
新高考数学大题题型二:概率与统计
古典概型。茎叶图。直方图。回归方程。
(理)概率分布、期望、方差、排列组合。概率题贴近生活、贴近实际,考查等可能性事件、互斥事件、独立事件的概率计算公式,难度不算很大。
新高考数学大题题型三:立体几何
平行。垂直。角。利用三视图计算面积与体积。既可以用传统的几何法,也可以建立空间直角坐标系,利用法向量等。
新高考数学大题题型四:数列
等差数列、等比数列、递推数列是考查的热点,数列通项、数列前n项的和以及二者之间的关系。错位相减法、裂项求和法。应用题。
新高考数学大题题型五:圆锥曲线(椭圆)与圆
椭圆为主线,强调圆锥曲线与直线的位置关系,突出韦达定理或差值法。
圆的方程,圆与直线的位置关系。
注重椭圆与圆、椭圆与抛物线等的组合题。
新高考数学大题题型三:函数、导数与不等式
函数是该题型的主体:三次函数,指数函数,对数函数及其复合函数。
函数是考查的核心内容,与导数结合,基本题型是判断函数的单调性,求函数的最值(极值),求曲线的切线方程,对参数取值范围、根的分布的探求,对参数的分类讨论以及代数推理等等。
利用基本不等式、对勾函数性质。
高考数学是高中理科中非常重要的学科,想要拿高分必须要多做题、多练习,那么高考数学必考公式及知识点有哪些呢?以下是小编准备的一些高考数学公式及知识点,仅供参考。
高中必背88个数学公式——圆的公式
1、圆体积=4/3(pi)(r^3)
2、面积=(pi)(r^2)
3、周长=2(pi)r
4、圆的标准方程(x-a)2+(y-b)2=r2【(a,b)是圆心坐标】
5、圆的一般方程x2+y2+dx+ey+f=0【d2+e2-4f>0】
高中必背88个数学公式——椭圆公式
1、椭圆周长公式:l=2πb+4(a-b)
2、椭圆周长定理:椭圆的周长等于该椭圆短半轴,长为半径的圆周长(2πb)加上四倍的该椭圆长半轴长(a)与短半轴长(b)的差.
3、椭圆面积公式:s=πab
4、椭圆面积定理:椭圆的面积等于圆周率(π)乘该椭圆长半轴长(a)与短半轴长(b)的乘积。
以上椭圆周长、面积公式中虽然没有出现椭圆周率t,但这两个公式都是通过椭圆周率t推导演变而来。
高中必背88个数学公式——两角和公式
1、sin(a+b)=sinacosb+cosasinbsin(a-b)=sinacosb-sinbcosa
2、cos(a+b)=cosacosb-sinasinbcos(a-b)=cosacosb+sinasinb
3、tan(a+b)=(tana+tanb)/(1-tanatanb)tan(a-b)=(tana-tanb)/(1+tanatanb)
4、ctg(a+b)=(ctgactgb-1)/(ctgb+ctga)ctg(a-b)=(ctgactgb+1)/(ctgb-ctga)
高中必背88个数学公式——倍角公式
1、tan2a=2tana/(1-tan2a)ctg2a=(ctg2a-1)/2ctga
2、cos2a=cos2a-sin2a=2cos2a-1=1-2sin2a
高中必背88个数学公式——半角公式
1、sin(a/2)=√((1-cosa)/2)sin(a/2)=-√((1-cosa)/2)
2、cos(a/2)=√((1+cosa)/2)cos(a/2)=-√((1+cosa)/2)
3、tan(a/2)=√((1-cosa)/((1+cosa))tan(a/2)=-√((1-cosa)/((1+cosa))
4、ctg(a/2)=√((1+cosa)/((1-cosa))ctg(a/2)=-√((1+cosa)/((1-cosa))
高中必背88个数学公式——和差化积
1、2sinacosb=sin(a+b)+sin(a-b)2cosasinb=sin(a+b)-sin(a-b)
2、2cosacosb=cos(a+b)-sin(a-b)-2sinasinb=cos(a+b)-cos(a-b)
3、sina+sinb=2sin((a+b)/2)cos((a-b)/2cosa+cosb=2cos((a+b)/2)sin((a-b)/2)
4、tana+tanb=sin(a+b)/cosacosbtana-tanb=sin(a-b)/cosacosb
5、ctga+ctgbsin(a+b)/sinasinb-ctga+ctgbsin(a+b)/sinasinb
高中必背88个数学公式——等差数列
1、等差数列的通项公式为:
an=a1+(n-1)d (1)
2、前n项和公式为:
Sn=na1+n(n-1)d/2或Sn=n(a1+an)/2(2)
从(1)式可以看出,an是n的一次数函(d≠0)或常数函数(d=0),(n,an)排在一条直线上,由(2)式知,Sn是n的二次函数(d≠0)或一次函数(d=0,a1≠0),且常数项为0.
在等差数列中,等差中项:一般设为Ar,Am+An=2Ar,所以Ar为Am,An的等差中项.
,
且任意两项am,an的关系为:
an=am+(n-m)d
它可以看作等差数列广义的通项公式.
3、从等差数列的定义、通项公式,前n项和公式还可推出:
a1+an=a2+an-1=a3+an-2=…=ak+an-k+1,k∈{1,2,…,n}
若m,n,p,q∈N__,且m+n=p+q,则有
am+an=ap+aq
Sm-1=(2n-1)an,S2n+1=(2n+1)an+1
Sk,S2k-Sk,S3k-S2k,…,Snk-S(n-1)k…或等差数列,等等.
和=(首项+末项)__项数÷2
项数=(末项-首项)÷公差+1
首项=2和÷项数-末项
末项=2和÷项数-首项
项数=(末项-首项)/公差+1
高中必背88个数学公式——等比数列
1、等比数列的通项公式是:An=A1__q^(n-1)
2、前n项和公式是:Sn=[A1(1-q^n)]/(1-q)
且任意两项am,an的关系为an=am·q^(n-m)
3、从等比数列的定义、通项公式、前n项和公式可以推出:a1·an=a2·an-1=a3·an-2=…=ak·an-k+1,k∈{1,2,…,n}
4、若m,n,p,q∈N__,则有:ap·aq=am·an,
等比中项:aq·ap=2ar ar则为ap,aq等比中项.
记πn=a1·a2…an,则有π2n-1=(an)2n-1,π2n+1=(an+1)2n+1
另外,一个各项均为正数的等比数列各项取同底数数后构成一个等差数列;反之,以任一个正数C为底,用一个等差数列的各项做指数构造幂Can,则是等比数列.在这个意义下,我们说:一个正项等比数列与等差数列是“同构”的.
性质:①若 m、n、p、q∈N,且m+n=p+q,则am·an=ap__aq;
②在等比数列中,依次每 k项之和仍成等比数列.
“G是a、b的等比中项”“G^2=ab(G≠0)”.
在等比数列中,首项A1与公比q都不为零.
高中必背88个数学公式——抛物线
1、抛物线:y=ax__+bx+c就是y等于ax的平方加上bx再加上c。
a>0时,抛物线开口向上;a<0时抛物线开口向下;c=0时抛物线经过原点;b=0时抛物线对称轴为y轴。
2、顶点式y=a(x+h)__+k就是y等于a乘以(x+h)的平方+k,-h是顶点坐标的x,k是顶点坐标的y,一般用于求最大值与最小值。
3、抛物线标准方程:y^2=2px它表示抛物线的焦点在x的正半轴上,焦点坐标为(p/2,0)。
4、准线方程为x=-p/2由于抛物线的焦点可在任意半轴,故共有标准方程:y^2=2pxy^2=-2p__^2=2pyx^2=-2py。
高考数字是比较难的,那么同学们总结过相应的数学常用公式吗?关于高考数学知识点及公式又有哪些呢?以下是小编准备的一些高考数学知识点总结及公式,仅供参考。
两角和公式
sin(A+B)=sinAcosB+cosAsinB sin(A-B)=sinAcosB-sinBcosA
cos(A+B)=cosAcosB-sinAsinB cos(A-B)=cosAcosB+sinAsinB
tan(A+B)=(tanA+tanB)/(1-tanAtanB) tan(A-B)=(tanA-tanB)/(1+tanAtanB)
ctg(A+B)=(ctgActgB-1)/(ctgB+ctgA) ctg(A-B)=(ctgActgB+1)/(ctgB-ctgA)
倍角公式
tan2A=2tanA/(1-tan2A) ctg2A=(ctg2A-1)/2ctga
cos2a=cos2a-sin2a=2cos2a-1=1-2sin2a
半角公式
sin(A/2)=√((1-cosA)/2) sin(A/2)=-√((1-cosA)/2)
cos(A/2)=√((1+cosA)/2) cos(A/2)=-√((1+cosA)/2)
tan(A/2)=√((1-cosA)/((1+cosA)) tan(A/2)=-√((1-cosA)/((1+cosA))
ctg(A/2)=√((1+cosA)/((1-cosA)) ctg(A/2)=-√((1+cosA)/((1-cosA))
和差化积
2sinAcosB=sin(A+B)+sin(A-B) 2cosAsinB=sin(A+B)-sin(A-B)
2cosAcosB=cos(A+B)-sin(A-B) -2sinAsinB=cos(A+B)-cos(A-B)
sinA+sinB=2sin((A+B)/2)cos((A-B)/2 cosA+cosB=2cos((A+B)/2)sin((A-B)/2)
tanA+tanB=sin(A+B)/cosAcosB tanA-tanB=sin(A-B)/cosAcosB
ctgA+ctgBsin(A+B)/sinAsinB -ctgA+ctgBsin(A+B)/sinAsinB
某些数列前n项和
1+2+3+4+5+6+7+8+9+…+n=n(n+1)/2 1+3+5+7+9+11+13+15+…+(2n-1)=n2
2+4+6+8+10+12+14+…+(2n)=n(n+1) 12+22+32+42+52+62+72+82+…+n2=n(n+1)(2n+1)/6
13+23+33+43+53+63+…n3=n2(n+1)2/4 1__2+2__3+3__4+4__5+5__6+6__7+…+n(n+1)=n(n+1)(n+2)/3
正弦定理 a/sinA=b/sinB=c/sinC=2R 注: 其中 R 表示三角形的外接圆半径
余弦定理 b2=a2+c2-2accosB 注:角B是边a和边c的夹角
在初三这一阶段要怎样有针对性的做历史练习呢?别着急,接下来不妨和百文网小编一起来做份初三下册历史《东欧剧变和苏联解体》试题,希望对各位有帮助!
1.C 2.A 3.D 4.A 5.C 6.B 7.C 8.B 9.D 10.B 11.D 12.B
13.答案:(1)东欧剧变;社会制度的根本性变化。
(2)东欧各国出现经济困难。
(3)坚持走建设有中国特色的社会主义道路,坚持独立自主的内外政策;大力发展生产力,提高人民的生活水平,显示社会主义 的优越性;建立和健全社会主义法制,实行以法治国;加强执政党建设,维护党的领导地位等等。
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2017年山东省第二次语文模拟考试已经结束,为了方便同学们复习,接下来百文网小编为你整理了2017山东第二次语文的模拟考试试题及答案,一起来看看吧。
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数学作为主科之一,是非常容易拉分的科目,那么关于中考数学知识点有哪些呢?一起来看看吧,以下是小编准备的一些中考数学知识点归纳总结,仅供参考。
一、预习方法
着重预习,学会自学
预习是自学的开始,进入初中以后,你会逐步尝到自觉寻求知识来解决问题的甜头,自觉预习,为学习新知识打下基础。
预习不是走马观花式的看书,在预习时应做到:
一粗读,先粗略浏览教材的有关内容,掌握本节知识的概貌。
二细读,对重要概念、公式、法则、定理反复阅读、体会、思考,注意知识的形成过程,对难以理解的概念作出记号,以便带着疑问去听课。方法上可采用随课预习或单元预习。实践证明,养成良好的预习习惯,能使你变被动学习为主动学习,同时能逐渐培养你的自学能力。
二、听课方法
专心听讲,乐于思考
课堂45分钟最为关键,要养成一边听讲、一边思考的习惯,使自己的心、眼、耳、口、手都参与课堂活动。无论是课前、课内还是课后,还要多问几个为什么,绝不放过一个疑问。要处理好“听”、“思”、“记”的关系。“听”是直接用感官接受知识。
听的过程中注意
(1)听每节课的学习要求;
(2)听知识引入及知识形成过程;
(3)听懂重点、难点剖析(尤其是预习中的疑点);
(4)听例题解法的思路和数学思想方法的体现;
(5)听好课后小结。
(6)“思”是指思维。没有思维,就发挥不了自主学习的主体能动作用。在思维方法上,应注意多思、深思、反思。
(7)会记笔记
三、作笔记时应注意
不是记得多就是有效的,而且记笔记要掌握记录时机,影响了听课可就不如不记了,记什么,什么时候记,是有学问的,记方法,记技巧,记解题思路记疑点,记要求,记注意点,记住课后一定要整理笔记。记小结、记课后思考题。
1、管理好自己的笔记本
作业本,纠错本,还有做过的所有练习卷和测试卷,这可是大考复习时最有用的资料。纠错本上不仅要整理做错或不会的习题还要整理测验中出现的技巧性强的、易错的题目,便于复习时参考。
2、及时纠错
课堂练习、作业、检测,反馈后要及时查阅,分析错题的原因,是因为审题出问题还是概念模糊亦或是时间紧没来得及。切忌不要动不动就以粗心放过自己(形成习惯可就麻烦了),如果思路正确而计算出错,及时订正,必要时强化相关计算的训练。
九年级上册英语第一单元主要讲解了语言基本功的学习和掌握,那么九年级上册英语第一单元知识点有哪些呢?以下是小编准备的一些九年级上册英语第一单元知识点,仅供参考。
一.单项选择(20分,每题1分)
i.词语释义(5分,每小题1分)
1.The cup is filled with milk.
A.is covered by B.is full of C.is full with D.is covered with
答案:B
2.Thet seem to be very happy with the actress.
A.satisfied with B.worried about C.pleased D.happy for
答案:A
3.Tom glanced at the watch and ran out of the classroom without saying anything.
A. took a look at B. threw away C. put down D. saw angrily
答案:A
4.The soldier jumped into the cold water to save the boy without hesitation.
A. after he thought about himself B. as soon as he saw him
C. because he realized that the boy was his son D. in order to tell others that he was brave
答案:B
5. My grandpa used to go for a walk after dinner.
A.did something regularly in the past
B.use something to do somthing
C.have experienced something and it has become a habit
答案:A
ii.选择填空(15分,每小题1分)
6.I _____________ whether his statement is true.
A.think B.believe C.doubt D.know
答案:C
7.The hall was ____________ of people.
A.fill B.filled C.full D.fulled
答案:C
8.We can’t work out the physical problem. Can you tell us____________?
A.how to do B.what to do it C.how to do it D.what should to do
答案:C
9.—The box is too heavy to carry. What’s in it?
—Oh, it is ____________books.
A.filled with B.covered with C.used for D.asked for
答案:A
10.___________ a beautiful car!I’ve never seen it before.
A.What B.Which C.How D.Whether
答案:A
11.She is from England, ____________she?
A.isn’t B.won’t C.hasn’t D.doesn’t
答案:A
12.—Could I use your bike today?
—________________.I’m not using it.
A.Sure,go ahead B.I have no idea C.No,you can’t D.Never mind
答案:A
13.—What else do you need for your trip?
—__________.I’ve packed everything.
A.Something else B.Else everything C.Nothing else D.Else nothing
答案:C
14.—Why don’t you go out to play?
—I’m afraid I can’t. I have much homework___________.
A.do B.does C.doing D.to do
答案:D
15.—Your sweater looks very nice. What’s it made________?
—Wool.
A.by B.of C.from D.in
答案:B
16.—___________weather it is!
—Yes, we can’t go boating on the Xuanwu lake.
A.What good B.How good C.How bad D.What bad
答案:D
17.Tom had his 15th birthday party last night, ___________?
A.didn’t he B.did he C.hadn’t he D.was he
答案:A
解析:反意疑问句。主句是肯定句式,所以反意疑问句要用否定,并且借助助动词did.
18.I don’t think the newly-directed film by Zhaowei is as interesting as people say, _______?
A. do you B. isn’t it C. is it D. don’t you
答案:C
19.—__________ does your new friend look like?
—He is tall with short blonde hair and big blue eyes.
A. How B. What C. Who D. Where
答案:B
20.—Jim had nothing for breakfast this morning, _______?
—______. He got up too late.
A. had she; Yes B. hadn’t he; Yes C. did he; No
答案:C
二.完形填空(10分,每小题1分)
One day a poor man was traveling on horseback. At noon, he tied his horse to a tree and
then 1 to eat something. A few minutes later, a rich man came along and tied his horse to
the same tree.
“Please tie your horse to another tree,” said the poor man.“My horse is wild(野蛮的). It will kill yours.”
2 the rich man said,“I shall tie my horse as I like!” he tied up his horse and had his
lunch nearby. After a moment they heard a terrible 3 , the two horses were fighting. They went up to them, but it was too 4 . The rich man‘s horse was killed. “See what you horse
has done!”cried the rich man. “You will have to 5 it.”And he brought the poor man before Mr. Know.
Mr. Know asked the poor man some questions. But he made no 6 . At last Mr. Know said,
“This man is dumb(哑的). He cannot speak.”
“Oh,” the rich man shouted 7 .“He can! He spoke to me when I met him.”
“Are you sure?” asked Mr. Know.“What did he 8 ?”
“He told me not to tie my horse to the same tree because his horse was wild and would
kill my horse.”
“Oh,” said Mr. Know.“So he 9 you. Then can you expect to get money 10 him? ”
The rich man said nothing and left silently.
( )1. A. put down B. set down C. sat down D. turned down
( )2. A. So B. But C. And D. Though
( )3. A. song B. word C. bell D. noise
( )4. A. late B. slow C. hard D. quick
( )5. A. pay for B. look for C. wait for D. care for
( )6. A. idea B. mistake C. money D. answer
( )7. A. quietly B. angrily C. happily D. heavily
( )8. A. speak B. tell C. talk D. say
( )9. A. helped B. thanked C. warned D. ordered
( )10.A. for B. from C. with D. about
答案:1-5 C B D A A 6-10 D B D C B
三.阅读理解(35分,每小题1分)
i. 阅读下列短文,从每小题的A、B、C、D四个选项中选择最佳答案(25分,每小题1分)
A
Rachel felt sad as she walked to the school bus stop. Her neighborhood looked like a junkyard. There was a lot of rubbish on the road. The front door to Lee‘s Grocery was covered with ugly graffiti(涂鸦).
Yuck! Rachel said as she brought her foot back to kick (踢) an empty bottle off. Then she changed her mind, picked the bottle up and threw it into a rubbish basket on the corner. She hurried to meet her friends at the bus stop.
Mr Lee felt sad as he looked out of his grocery store window. Hmph, he said as the girl passed by. She‘s perhaps another troublemaker, he thought. One of those kids painted graffiti all over my door. Kids today are just no good. What the girl did next, though, surprised him. She picked up the bottle and dropped it into a rubbish basket.
That‘s a switch, thought Mr Lee. All morning he kept picturing that girl. At noon, when he walked to the corner to mail a letter, he saw the rubbish that was in front of his store. He thought of that girl again, then got a broom and started sweeping(打扫) the walk.
( ) 1. Where would Rachel go when she saw the empty bottle?
A. To school. B. To a party. C. To hospital. D. To her grandma‘s.
( ) 2. What might be the reason that Mr Lee started sweeping the walk?
A. His wife asked him to do so.
B. He saw Rachel placing a bottle into the rubbish basket.
C. He wanted more people to buy things in his store.
D. He heard other people say something bad about his store.
( ) 3. Who might learn most from reading this story?
A. Someone who wants to buy some nice trees. .
B. Someone who wants to get along with a bad neighbor.
C. Someone who wants to plant a flower garden.
D. Someone who wants to make a difference in the neighborhood.
( ) 4. What does the underlined word trouble-maker mean in Chinese?
A. 幸运者 B. 送货人 C. 捣乱者 D. 顾客
( ) 5. What is this story mostly about?
A. How a group of people learn to be friends.
B. A neighborhood that learns to reuse bottles.
C. How one person‘s actions (行动) can make others change.
D. Neighbors working together to do their spring cleaning.
答案:1-5 A B D C C
B
Do you get angry when someone stands too close to you or talks too loudly?
Many of us do. What makes us feel uncomfortable about these people? Perhaps it‘s about
personal space.
Some scientists say that humans need a distance between themselves and strangers.
Personal space means not only space around the body, but around the senses (感官). People may feel uncomfortable when with sounds, smells or for some people don‘t like
the sound of a man shouting into a mobile phone in a shop. Or maybe they don‘t like sitting next to a woman on a bus with a lot of perfume (香水) on.
While people like to protect their personal space, they may not know they are doing it.
Manypeople hold newspapers in front of them on the subway. Perhaps they are using the newspaper to separate (分离) themselves from other people.
How much people care about personal space is different from culture to culture.Some
scientists say that people in the US need more personal space than people in other countries.
But in Latin cultures, people are more comfortable standing close to each other.
( )6. What does the passage mainly tell us about?
A. How to get angry. B. Personal space.
C. Different cultures. D. Understanding each other.
( )7. Which of the following statements is true, according to the scientists?
A. People in the US need the most personal space.
B. In Latin cultures, people feel uncomfortable if others get very close to them.
C. Personal space only means space around the body.
D. People are always aware that they are protecting their personal space.
( )8. Which of the following is NOT an example of behavior that hurts personal space in the
story?
A. Talking loudly into a mobile phone. B. Wearing dirty clothes at a party.
C. Wearing too much perfume. D. Standing too close to somebody.
( )9. According to the scientists, if people hold a newspaper closely, they ______.
A. just want to read it.
B. are probably thinking about some problem.
C. are probably protecting their personal space, but don’t realize it.
D. probably like reading very much.
( )10.According to this passage, people will feel uncomfortable _____________.
A. when someone stands too close to you.
B. when with certain sounds
C. when with certain smells or looks
D. all the above.
答案:6-10 B A B C D
C
On December 14, 1911, Norwegian scientist Amundsen and his four team members became the first people to reach the South Pole (南极).On Wednesday, exactly 100 years later, Norway‘s prime ministers remembered them with scientists at the bottom of the South Pole.
In the early 1900s, there was a race to see who could get to the South Pole first. Amundsen beat British scientist Scott by five weeks. On March 8, 1912, after learning of Amundsen‘s success, The New York Times wrote, A new world has now been discovered.
After learning that American scientist Robert had reached the North Pole first in April 1909, Amundsen made secret plans for a trip to the South Pole.
On October 19, 1911, Amundsen set out with 52 dogs. His success was helped by careful planning. And his dogs also helped. Amundsen and his four team members, together along with 11 dogs, made it back on January 25, 1912. Their trip was quicker than expected(期待).
Antarctica(南极洲), is a place for many science projects. It holds many clues(线索) to the earth‘s past and future changes. Especially there are many things about weather change.
( ) 11. How many dogs died during the trip?
A. 63. B. 52. C. 41. D. 11.
( ) 12. What made Amundsen decide to travel to the South Pole?
A. The fact that Robert bad reached the North Pole. B. His dream.
C. A book. D. A story.
( ) 13. What helped him succeed?
A. Careful planning and his dogs. B. Norway‘s prime minister.
C. Good weather. D. Many clues in Antarctica.
( ) 14. What can we learn best in Antarctica?
A. Mountain change. B. River change. C. Forest change. D. Weather change.
( ) 15. The passage is mainly about ______.
A. the earth‘s past and future B. a great scientist who reached the South Pole
C. special Antarctica D. Norway‘s prime minister
答案:11-15 C A A D B
D
IN Journey to the West (《西游记》), the Monkey King often turns into a bug (虫子) and watches monsters. Today, scientists are trying to turn the story into reality by making
robt bugs.
Robot bugs are small robots that look like bugs. People can use them to take pictures
in dangerousareas, follow suspects(嫌犯),or help find survivors in broken buildings.Work on robotic bugs started after World War II. But today they are more advanced.
Harvard University scientists have made a very small robot that looks like a fly. It weighs
just 65 milligrams, or a little more than the plastic head of a push pin (大头钉). The robot needs a wire (电线) to get power.
Japanese scientists don‘t need wires for their robots. They have made very small ones
that look like moths (蛾). People control the robots by radio.
Scientists are trying to turn real bugs into robots. US scientists have put computer chips
(芯片) into moths so people can control them.
But sometimes these robots get into danger. Birds can eat them. Other times they can get
caught in spiders‘ webs (网).
( )16. The passage mainly tells us about_______.
A. making robot bugs B. robot bugs
C. what robot bugs look like D. what robot bugs can do
( )17. The robot which was made by Harvard University scientists is like ______.
A. a fly B. a dragonfly C. a moth D. a butterfly
( )18. These robot bugs have many advantages except_____.
A. they can be used to take pictures in dangerous areas
B. they can follow suspects
C. they can be eaten by birds
D. they can help find survivors in destroyed buildings
( )19. In the future people will be able to control a real moth ______.
A. using a wire B. with a radio C. using a telephone D. with a computer chip
( )20. According to the passage which statement is true?
A. US scientists have made a very small robot that looks like a moth.
B. Japanese scientists have made very small robots that look like flies.
C. The robot fly can only fly when it is connected to a power wire.
D. Scientists began to work on the robot bugs after World War I.
答案:16-20 B A C D C
E
Anuska‘s first day in Seattle was tiring. Her father had arrived several days earlier to begin moving boxes. He met Anuska and her mother at the airport and drove them to their new apartment. The family spent the day unpacking boxes.
Anuska was tired, but she wanted to see more of Seattle. Her parents said that they would go out and explore(探索) Seattle the next day.
Anuska and her mother went out of the front door for a rest. Then Anuska heard a voice.
Hello. You must be new here. Anuska turned to see a girl smiling at her. Yes, she said. We just moved here this morning.
My name is Tisha. I live next door.
I‘m Anuska. We moved here from Alaska.
Alaska? Wow, I‘ve never met anybody from Alaska, said Tisha.
What school are you going to?
My mom says I‘m going to that school. .
That‘s my school, Tisha replied. Maybe we‘ll be in the same class.
Anuska smiled. It would be nice to start school and already know someone.
Tisha‘s eyes suddenly got wide. Have you ever been to an aquarium(水族馆)?
Anuska shook her head.
They have all kinds of sea animals there. I‘m going with my older brother tomorrow. Do you and your parents want to come with us?
Anuska looked at her mother.
I think that‘s a good idea, her mother said. We should go out and see some of Seattle. This is a good chance.
( ) 21. How did Anuska and her mother go to Seattle?
A. By car. B. By bus. C. By train. D. By air.
( ) 22. How did Anuska and her parents spend their first day in Seattle?
A. Meeting Tisha‘s family. B. Looking for a new school.
C. Unpacking boxes. D. Walking through the city.
( ) 23. What will Anuska do tomorrow?
A. Go back to Alaska. B. Go to her new school.
C. Go to see fishes. D. Go to visit Tisha.
( ) 24. Which word best describes Tisha?
A. Worried. B. Shy. C. Serious. D. Welcoming.
( ) 25. What‘s the best title for the passage?
A. Anuska‘s first day in Seattle. B. Anuska‘s new neighbor.
C. Anuska‘s mother. D. Anuska‘s family exploring Seattle.
答案:21-25 D C C D B
ii. 选择下列单词或者短语完成对话。(5分,每小题1分)
( A student and a teacher are talking )
A: Excuse me, could you give me some (1)___________?
B: Sure. What do you want to know?
A: How can I (2)_________ my English?
B: It might be a good idea if you practice (3)_________ English as much as you can.
A: Not a bad idea!
B: And if I were you, I‘d like to (4)__________ the English radio programs every day.
A: OK, I‘ll try.
B: If you (5)_________ any help, please come to ask me anytime.
A: Thanks. I will.
B: You‘re welcome.
1._________ 2. __________ 3.__________ 4._________ 5. _________
答案:1.advice 2.improve 3.speaking 4.listen to 5.need
iii. 选择下列选项完成下面对话。(5分,每小题1分)
A: Hi, Mike. Would you like to help save the environment?
B: Of course, I would like to. But what should I do firstly?
A: Well. (1) _________
B: Yes, it‘s a piece of cake. Sometimes I turn off the lights without thinking. What‘s next?
A: Secondly, you can ride a bicycle. (2) __________
B: That will save money, too. What else?
A: Thirdly, try to recycle(回收) paper.
B: Mm. Newspapers, magazines, mail ... (3) __________ Good idea.
A: The fourth idea is turning off the shower when you are not using it.
B: You mean when I have shampoo in my hair?
A: Yes. Get wet, (4) _________, put the shampoo in your hair and then turn on the shower and wash it out.
B: Will that help the environment?
A: Yes, we have to save water. And fifthly, take a bag when you go shopping. (5) __________
B: OK. My parents do most of the shopping. I‘ll tell them.
答案:1.A 2.D 3.F 4.G 5.B
四. 用所给词汇的适当形式填空。(10分,每小题1分)
1.I’m looking forward to the O___________ Games.
2.According to an __________(古老的)Chinese legend, the emperor Shen Nong discovered tea.
3.Would you like ___________( sell ) the ticket to me?
4.The fields around us looked like a ________(gold) sea.
5.—How do you study English?
—By __________ ( ask ) teachers for help.
6.I think the way we say something is____________( important ) than the thing we say.
7.Can you give me some____________ ( advise ) ?
8. You’ll ____________(解决)the problem if you concentrate on it.
9. What he did is to make a good ______________ (impress) on his boss.
10. We must find out the ___________(true)of the matter
答案:1.Olympic 2.ancient 3.to sell 4.golden 5.asking
6.more important 7.advise 8.solve 9.impression 10.truth
五. 书面表达(10分)
假如你是Jim. 你的朋友Simon 邀请你参加本周六的同学聚会,但你因为要去医院照顾生病的母亲而无法前往。请给Simon回复。要求:条理清楚,格式正确。日期为9月11日。