课时作业本 期末检测卷

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部编版小学五年级语文上册课时练习期末测试卷

部编版小学五年级语文上册课时练习期末测试卷

2019-2020学年上学期五年级期末测试卷班级:姓名:满分:100分考试时间:90分钟一、选择正确的答案。

(8分)1.加点的字读音完全正确的一项是( )。

(2分)A.嫉妒.(hù) 含情脉脉.(mò)B.教诲.(wǔ) 玲珑剔.(tī)透C.防御.(xiè) 精神恍.(huǎnɡ)惚D.眼睑.(jiǎn) 万马齐喑.(yīn)2.下列字书写无误的一项是( )。

(3分)A.吩付大臣建筑游泳B.编写硝毁传统陪伴C.规律派遣羞耻遮蔽D.交外噪音乌鸦楷歌3.加点的字解释有误的一组是( )。

(3分)A.乃.(你的)翁干将..(得力将士)发硎国泰.(像泰山一样看重)民安B.王孙..(指诗人自己)自可留不拘.(限制)一格兴高采烈.(旺盛)C.几时休.(停止) 流离..(转徙离散)失所纵有..(横竖都有)千古二、判断下列说法的正误,正确的画“ ”,错误的画“✕”。

(8分)1.《珍珠鸟》一课以细腻亲切的语言写出了小鸟从“怕”人到“信赖”人的变化过程,作者在文中感叹道:“信赖,往往创造出美好的境界。

” ( )2.“那‘鸟的天堂’的确是鸟的天堂”一句中,“鸟的天堂”是指那棵茂盛的大榕树,正是这棵大榕树,为鸟留下了理想的生活环境。

( )3.“士人读书”讲究“三要”:一要有志,二要有识,三要有恒。

这三个方面是相辅相成,缺一不可的。

( )4.《枫桥夜泊》的作者是宋代诗人张继。

“江枫渔火对愁眠”描绘了枫桥附近的景色和愁寂的心情。

( )三、按要求写句子。

(11分)1. 我怎么会忘记家乡的桂花雨?(改为陈述句)(2分)2. 七八十台破缝纫机发出的噪声震耳欲聋。

(缩句)(2分)3. “许多小园,分布在东、西、南三面,众星拱月般环绕在圆明园周围。

”这句话中的“月”指,“星”指,用了的修辞手法,形象地写出了。

(4分)4.照例句,发挥想象写下去。

(3分)人生的意义在于奉献而不在于索取,如果你是一棵大树,就撒下一片阴凉;如果你是,就;如果你是,就;如果你是,就。

北师大小学数学六年级下册春季学期期末检测试题1课时练试卷习题

北师大小学数学六年级下册春季学期期末检测试题1课时练试卷习题

2、下列说法正确的是
( )。
A、一条射线长 50 米
B、一年中有 6 个大月,6 个小月
C、2010 年是平年
3、一件商品原价 1000 元,提价 20%以后,再降价 20%,现价是
()
A、1000 元
B、1040 元
C、960 元
4.已知 a× 5 =b÷62.5%=c× 3 =1(a、b、c 均不为 0),a、b、c 这三
5 ×0÷ 5 =
6
6
1÷3×1÷3 =
10 + 3 4
2、 脱式计算(共 4 分)
2 3 1 4
3 ÷ 4 12 5
420.5 - 294÷2.8×2.1
3、 用你喜欢的方法计算。(共 4 分)
( 7 + 5 - 1 )×72
96 4
18 ÷ 8 + 18 × 3
23 5 23 8
4、 解方程。(共 6 分) 12χ÷6=9.5
3
4
个数中最小的是( )。
A.a
B.b
C.c
D.无法判断
5、一列数 1,2,2,3,3,3,4,4,4,4,….中的第 35 个数为 ()
A、6 B、7 C、8
四、用心思考,正确填写。(共 30 分)
1、三千九百零四万零五十写作(
)改写成用万作单位的数
TB 小初高题库
北师大小学数学
是(
4
2、把一个底面半径为 3cm,高为 4cm 的圆柱铁块,融化变成一个底面半径为 2cm 的圆锥,求这个圆锥的高;
3、两城之间的公路长 256 千米。甲乙两辆汽车同时从两个城市 出发,相向而行,经过 4 小时相遇。甲车每小时行 31 千米,乙车 每小时行多少千米?(用方程)

人教版小学数学二年级上册期末检测卷课时练试卷习题

人教版小学数学二年级上册期末检测卷课时练试卷习题

人教小学数学二年级上册好的开始,是成功的一半,祝您天天进步!来一起学习数学知识吧期末检测卷一、填一填。

(每空1分,共22分)1.三八( ) 五( )三十五 ( )九六十三六九( ) 六( )四十八( )七二十八2.在括号里填上合适的单位。

一根旗杆高6( )铅笔长18( ) 课间休息10( ) 坐飞机从武汉到北京只要2( )3.小刀长( )厘米,橡皮长( )厘米。

4.5+5+5=( )×( )7×6+7=( )×( )5.比72多18的数是( ),56比14多( )。

6.量一量,填一填。

 上面线段长( )厘米,比它长2厘米的线段是( )厘米。

7.用8、0、2组成两位数,每个两位数的十位数和个位数不能一样,可以组成( )个不同的两位数,其中最大的两位数是( )。

二、辨一辨。

(对的画“√”,错的画“×”。

)(每题1分,共5分) 1.1.7+7+7+5可以用7×4-2来计算。

( )2.黑板面上的直角和练习本封面上的直角大小相等。

( ) 3.两个乘数都是6,积是12。

( )4.分针从3走到6,走了3分。

( )5.在同一把尺子上,刻度1到3和刻度2到4之间的距离一样长。

( )三、选一选。

(每题1分,共5分)1.按规律8,16,24,32,( ),……,括号里填( )。

①38 ②8 ③402.一个三角尺上有( )个锐角。

①1 ②2 ③33.爸爸今年37岁,小亮今年10岁,10年后爸爸比小亮大( )岁。

①47 ②17 ③274.求6个3的和是多少,列式为( )。

①6×3 ②6+3 ③6-35.有3个数5、8、10,任意选取其中2个求和,得数有( )几种可能。

①1 ②6 ③3四、算一算。

(2题6分,其余每题9分,共24分)1.口算。

4×7= 75-50= 3×8=80-8=6×9=54+30=9+34=56+13=32+15=2.在里填上“+”“-”“×”或“>”“<”“=”。

部编版语文六年级上册课时练习试卷:部编版语文六年级上册期末测试卷 (13)【含答案】

部编版语文六年级上册课时练习试卷:部编版语文六年级上册期末测试卷 (13)【含答案】

六年级语文上册期末测试题(含答案)(时间:90分钟分值:100分)一、看拼音,写词语。

(10分)shāo wēi diǎn zhuì mí yǔ shànɡ qiě qīnɡ dǎotái xiǎn zēnɡ tiān fènɡ bǔ zī yuán kānɡ kǎi二、给下列多音字选择正确的读音。

(3分)1.小明把试卷(juǎn juàn)卷(juǎn juàn)起来,放在书包里。

2.蜀中有杜处士,好.(hǎo hào)书画,所宝以百数.(shǔshù)。

3.这首曲.(qūqǔ)子多难弹.(tán dàn)哪!三、判断正误,正确的画“√”,错误的画“✕”。

(5分)1.纪伯伦是黎巴嫩的作家,是近代东方文学走向世界的先驱。

()2.《七律·长征》这首诗先总写,后分写。

诗歌的总领句是“红军不怕远征难”。

()3.《盼》以“新雨衣”为线索,以大人的视角叙述了事情的经过。

()4.《竹节人》围绕“迷”字展开,讲述了一个有趣的故事。

()5.《书戴嵩画牛》告诉我们要认真、仔细地观察事物,不能凭空想象。

()四、选择正确的答案填在括号里。

(10分)1.下列加点字词意思不相同的一项是()A.如今直上银河..落九天..去疑是银河B.千里..江陵一日还..莺啼绿映红千里C.劝君.更尽一杯酒天下谁人不识君.D.浪淘风簸自.天涯花木成畦手自.栽2. 下列关于场面描写叙述有误的一项是()。

A. 要写好场面,观察的视野要全面,既要看清看全一次活动的整体情况,又要善于捕捉到典型的人和事,然后再逐一地进行描写,才能把场面写真切,写生动。

B. 描写一个场面,既要写出参加活动人的心情、神态表现,又要写出围观人的反映,把场内外交织在一起写,才能更好地烘托环境气氛。

C. 在描写场面的过程中,着重描写整个场面,不需要写出人物的感想、体会。

课时作业2: 章末检测卷(一)

课时作业2: 章末检测卷(一)

章末检测卷(一)(时间:120分钟 满分:150分)一、单项选择题(本题共8小题,每小题5分,共40分.在每小题给出的四个选项中,只有一项是符合题目要求的)1.若a =(2,-1,0),b =(3,-4,7),且(λa +b )⊥a ,则λ的值是( ) A.0 B.1 C.-2D.2解析 λa +b =λ(2,-1,0)+(3,-4,7)=(3+2λ,-4-λ,7). ∵(λa +b )⊥a ,∴(λa +b )·a =0,∴2(3+2λ)+4+λ=0,即λ=-2. 答案 C2.对于空间任意一点O 和不共线的三点A ,B ,C ,有如下关系:6OP →=OA →+2OB →+3OC→,则( ) A.四点O ,A ,B ,C 必共面 B.四点P ,A ,B ,C 必共面 C.四点O ,P ,B ,C 必共面 D.五点O ,P ,A ,B ,C 必共面解析 由已知得OP→=16OA →+13OB →+12OC →,而16+13+12=1,∴四点P ,A ,B ,C 共面. 答案 B3.若平面α的法向量为n ,直线l 的方向向量为a ,直线l 与平面α的夹角为θ,则下列关系式成立的是( ) A.cos θ=n·a|n||a | B.cos θ=|n·a||n||a | C.sin θ=n·a|n||a |D.sin θ=|n·a||n||a |解析 若直线与平面所成的角为θ,直线的方向向量与该平面的法向量所成的角为β,则θ=β-90°或θ=90°-β,cos β=n·a|n||a |,∴sin θ=|cos β|=|n·a||n||a|.答案 D4.如图,在三棱锥A -BCD 中,AB =AC =AD =2,∠BAD =90°,∠BAC =60°,则AB→·CD →等于( )A.-2B.2C.-2 3D.23解析 AB →·CD →=AB →·(AD →-AC →)=AB →·AD →-AB →·AC →=0-2×2·cos 60°=-2.答案 A5.如图,S 是正三角形ABC 所在平面外一点,M ,N 分别是AB 和SC 的中点,SA =SB =SC ,且∠ASB =∠BSC =∠CSA =90°,则异面直线SM 与BN 所成角的余弦值为( )A.-105B.105C.-1010D.1010解析 以SA →,SB →,SC →的方向分别为x ,y ,z 轴的正方向建立空间直角坐标系(图略).设SA =SB =SC =1,则A (1,0,0),B (0,1,0),C (0,0,1),S (0,0,0),M ⎝ ⎛⎭⎪⎫12,12,0,N ⎝ ⎛⎭⎪⎫0,0,12,SM →=⎝ ⎛⎭⎪⎫12,12,0,BN →=⎝ ⎛⎭⎪⎫0,-1,12,所以cos 〈SM →,BN →〉=SM →·BN →|SM →|·|BN →|=-105,所以异面直线SM 与BN 所成角的余弦值为105. 答案 B6.如图,AB =AC =BD =1,AB ⊂平面α,AC ⊥平面α,BD ⊥AB ,BD 与平面α成30°角,则C ,D 间的距离为( )A.1B.2C. 2D.3解析 |CD→|2=|CA →+AB →+BD →|2=|CA →|2+|AB →|2+|BD →|2+2CA →·AB →+2AB →·BD →+2CA →·BD →=1+1+1+0+0+2×1×1·cos 120°=2.∴|CD →|= 2.答案 C7.已知三棱柱ABC -A 1B 1C 1的侧棱与底面垂直,体积为94,底面是边长为3的正三角形.若P 为底面A 1B 1C 1的中心,则P A 与平面ABC 所成角的大小为( ) A.5π12 B.π3 C.π4D.π6解析 取正三角形ABC 的中心O ,连接OP ,AO ,并延长AO 交BC 于D ,则∠P AO 是P A 与平面ABC 所成的角.因为底面边长为3,所以AD =3×32=32,AO =23AD =23×32=1.三棱柱的体积为12×3×32·AA 1=94,解得AA 1=3,即OP =AA 1=3,所以tan ∠P AO =OP OA =3,即∠P AO =π3.答案 B8.在底面为直角梯形的四棱锥S -ABCD 中,∠ABC =90°,SA ⊥平面ABCD ,SA =AB =BC =1,AD =12,则平面SCD 与平面SAB 所成角的余弦值为( ) A.33B.63C.64D.22解析 建立如图所示的空间直角坐标系,则A (0,0,0),D ⎝ ⎛⎭⎪⎫0,12,0,C (1,1,0),S (0,0,1),易知平面SAB 的一个法向量为AD →=⎝ ⎛⎭⎪⎫0,12,0,可求得平面SCD 的一个法向量n =()1,-2,-1, cos 〈AD →,n 〉=AD →·n |AD →||n |=-63.因平面SCD 与平面SAB 所成角为锐角,故所求余弦值为63. 答案 B二、多项选择题(本题共4小题,每小题5分,共20分.在每小题给出的四个选项中,有多项符合题目要求,全部选对的得5分,部分选对的得3分,有选错的得0分)9.已知四边形ABCD 为矩形,P A ⊥平面ABCD ,连接AC ,BD ,PB ,PC ,PD ,则下列各组向量中,数量积为零的是( ) A.PC →与BD → B.DA →与PB → C.PD→与AB → D.P A →与CD→ 解析 因为P A ⊥平面ABCD ,CD ⊂平面ABCD ,所以P A ⊥CD ,P A →·CD →=0,故D正确;因为AP ⊥AD ,AD ⊥AB ,AP ∩AB =A ,AP ,AB ⊂平面ABP ,所以AD ⊥平面ABP ,又PB ⊂平面ABP ,所以AD ⊥PB ,所以DA →·PB →=0,同理PD →·AB →=0,故B ,C 正确.故选BCD. 答案 BCD10.若A ,B ,C ,D 为空间不同的四点,则下列各式为零向量的是( ) ①AB→+2BC →+2CD →+DC →;②2AB →+2BC →+3CD →+3DA →+AC →; ③AB→+CA →+BD →; ④AB →-CB →+CD →-AD →. A.① B.② C.③D.④解析 ①中,原式=AB →+2BD →+DC →=AB →+BD →+BD →+DC →=AD →+BC →,不符合题意;②中,原式=2(AB→+BC →+CD →+DA →)+(AC →+CD →+DA →)=0;③中,原式=CD →,不符合题意;④中,原式=(AB →-AD →)+(CD →-CB →)=DB →+BD →=0,故选BD.答案 BD 11.给出下列命题:①若A ,B ,C ,D 是空间任意四点,则有AB →+BC →+CD →+DA →=0;②|a |-|b |=|a +b |是a ,b 共线的充要条件; ③若AB→,CD →共线,则AB ∥CD ; ④对空间任意一点O 与不共线的三点A ,B ,C ,若OP →=xOA →+yOB →+zOC →(其中x ,y ,z ∈R ),则P ,A ,B ,C 四点共面. 其中不正确命题的选项是( ) A.① B.② C.③D.④解析 若a ,b 共线,则|a |+|b |=|a +b |或|a +b |=||a |-|b ||,故B 错误;若AB →,CD →共线,则直线AB ,CD 可能重合,故C 错误;只有当x +y +z =1时,P ,A ,B ,C 四点才共面,故D 错误.故选BCD. 答案 BCD12.将正方形ABCD 沿对角线BD 折成直二面角A -BD -C ,有如下四个结论,其中正确的是( ) A.AC ⊥BDB.△ACD 是等边三角形C.AC 与平面BCD 所成的角为60°D.AB 与CD 所成的角为60°解析 取BD 的中点E ,连接AE ,CE ,则AE ,DE ,CE 两两互相垂直,以E 为原点,建立如图所示空间直角坐标系,设正方形ABCD 的边长为1,则A ⎝ ⎛⎭⎪⎫0,0,22,B ⎝ ⎛⎭⎪⎫0,-22,0,C ⎝ ⎛⎭⎪⎫22,0,0,D ⎝ ⎛⎭⎪⎫0,22,0,所以AC →=⎝ ⎛⎭⎪⎫22,0,-22,BD →=(0,2,0),CD→=⎝ ⎛⎭⎪⎫-22,22,0,AB→=⎝⎛⎭⎪⎫0,-22,-22.因为AC →·BD →=0,所以AC ⊥BD ,故A 正确;因为|AC →|=⎝ ⎛⎭⎪⎫222+0+⎝ ⎛⎭⎪⎫-222=1,|CD→|=|AD →|=1,所以AC =AD =CD ,所以△ACD 是等边三角形,故B 正确;显然∠ACE 为AC 与平面BCD 所成的角,又AE =CE ,故∠ACE =45°,即AC 与平面BCD 所成的角为45°,故C 错误;因为cos 〈AB →,CD →〉=AB →·CD →|AB →|·|CD →|=0+22×⎝ ⎛⎭⎪⎫-22+01×1=-12,所以〈AB→,CD →〉=120°,所以AB与CD 所成的角为60°,故D 正确. 答案 ABD三、填空题(本题共4小题,每小题5分,共20分)13.已知a =(2,-1,3),b =(-1,4,-2),c =(7,5,λ),若a ,b ,c 共面,则λ=________.解析 由已知可得a 与b 不共线,由共面向量定理可知,要使a ,b ,c 共面,则必存在实数x ,y ,使得c =x a +y b ,即⎩⎨⎧2x -y =7,-x +4y =5,3x -2y =λ,解得⎩⎪⎨⎪⎧x =337,y =177,λ=657.答案 65714.已知在正方体ABCD -A 1B 1C 1D 1中,侧面CC 1D 1D 的中心是F ,若AF →=AD →+mAB →+nAA 1→,则m =________,n =________.(本题第一空3分,第二空2分) 解析 因为AF →=AD →+DF →=AD →+12 (DC →+DD 1→ )=AD →+12 (AB →+AA 1→ )=AD →+12AB →+12AA 1→,所以m =n =12.答案 12 1215.如图,在空间四边形ABCD 中,G 为△ABC 的重心,E 是BD 上一点,BE =3ED ,以{AB→,AC →,AD →}为基底,则GE →=________.解析 GE →=AE →-AG →=AD →+DE →-23AM →=AD →+14DB →-13 (AB →+AC → )=AD→+14AB →-14AD→-13AB →-13AC →=-112AB →-13AC →+34AD →.答案 -112AB →-13AC →+34AD →16.设正方体ABCD -A 1B 1C 1D 1的棱长为2,则点D 1到平面A 1BD 的距离为________. 解析 如图建立空间直角坐标系,则D 1(0,0,2),A 1(2,0,2),D (0,0,0),B (2,2,0).所以D 1A →1=(2,0,0),DA →1=(2,0,2),DB →=(2,2,0).设平面A 1BD 的一个法向量为n =(x ,y ,z ),则⎩⎪⎨⎪⎧n ·DA →1=2x +2z =0,n ·DB →=2x +2y =0,令x =1,则n =(1,-1,-1),所以点D 1到平面A 1BD 的距离d =|D 1A →1·n ||n |=23=233.答案233四、解答题(本题共6小题,共70分.解答应写出必要的文字说明、证明过程或演算步骤)17.(本小题满分10分)已知A ,B ,C 三点不共线,另外一点M 满足OM→=13OA →+13OB→+13OC →.(1)判断MA→,MB →,MC →三个向量是否共面;(2)判断M 是否在平面ABC 内. 解 (1)因为OA→+OB →+OC →=3OM →,所以OA→-OM →=(OM →-OB →)+(OM →-OC →)=BM →+CM →. 所以MA→=BM →+CM →=-MB →-MC →.所以向量MA →,MB →,MC →共面. (2)由(1)知向量MA→,MB →,MC →共面,而它们有共同的起点M ,且A ,B ,C ,三点不共线,所以M ,A ,B ,C 共面,即M 在平面ABC 内.18.(本小题满分12分)已知空间三点A (1,2,3),B (2,-1,5),C (3,2,-5),试求:(1)△ABC 的面积; (2)△ABC 的AB 边上的高.解 (1)∵AB→=(2,-1,5)-(1,2,3)=(1,-3,2),AC→=(3,2,-5)-(1,2,3)=(2,0,-8), ∴AB→·AC →=1×2+(-3)×0+2×(-8)=-14,|AB→|=14,|AC →|=217,cos 〈AB →,AC →〉=-1414×217=-14217,又〈AB→,AC →〉∈[0,π],∴sin 〈AB →,AC →〉=36217,S △ABC =12|AB →|·|AC →|sin 〈AB→,AC →〉=12×14×217×36217=321.(2)|AB →|=14,设AB 边上的高为h ,则12|AB |·h =S△ABC =321,∴h =3 6. 19.(本小题满分12分)如图,在直三棱柱ABC -A 1B 1C 1中,AB =4,AC =BC =3,D 为AB 的中点.(1)求点C 到平面A 1ABB 1的距离;(2)若AB 1⊥A 1C ,求二面角A 1-CD -C 1的平面角的余弦值.解 (1)由AC =BC ,D 为AB 的中点,得CD ⊥AB ,又CD ⊥AA 1,AA 1∩AB =A ,AA 1,AB ⊂平面A 1ABB 1,故CD ⊥平面A 1ABB 1,所以点C 到平面A 1ABB 1的距离为CD =BC 2-BD 2= 5.(2)如图,过D 作DD 1∥AA 1交A 1B 1于D 1.在直三棱柱中,易知DB ,DC ,DD 1两两垂直,以D 为原点,射线DB ,DC ,DD 1分别为x 轴、y 轴、z 轴的正半轴建立空间直角坐标系Dxyz .设直三棱柱的高为h ,则D (0,0,0),A (-2,0,0),A 1(-2,0,h ),B 1(2,0,h ),C (0,5,0),C 1(0,5,h ),从而AB 1→=(4,0,h ),A 1C →=(2,5,-h ),由AB 1→⊥A 1C →,有8-h 2=0,h =2 2.故DA 1→=(-2,0,22),CC 1→=(0,0,22),DC →=(0,5,0). 设平面A 1CD 的一个法向量为m =(x 1,y 1,z 1),则m ⊥DC →,m ⊥DA 1→,即⎩⎨⎧5y 1=0,-2x 1+22z 1=0,取z 1=1,得m =(2,0,1).显然平面C 1CD 的一个法向量为n =(1,0,0), 所以cos 〈m ,n 〉=m ·n|m |·|n |=22+1×1=63.因二面角A 1-CD -C 1为锐角,所以二面角A 1-CD -C 1的平面角的余弦值为63. 20.(本小题满分12分)如图所示,在正方体ABCD -A 1B 1C 1D 1中,E 是棱DD 1的中点.(1)求直线BE 和平面ABB 1A 1所成的角的正弦值;(2)在棱C 1D 1上是否存在一点F ,使B 1F ∥平面A 1BE ?证明你的结论.解 设正方体的棱长为1.如图所示,以AB →,AD →,AA 1→为单位正交基底建立空间直角坐标系Oxyz .(1)依题意,得B (1,0,0),E ⎝ ⎛⎭⎪⎫0,1,12,A (0,0,0),D (0,1,0),所以BE →=⎝ ⎛⎭⎪⎫-1,1,12,AD →=(0,1,0).在正方体ABCD -A 1B 1C 1D 1中,因为AD ⊥平面ABB 1A 1,所以AD →是平面ABB 1A 1的一个法向量.设直线BE 和平面ABB 1A 1所成的角为θ,则sin θ=|cos 〈BE →,AD →〉|=|BE →·AD →||BE →|·|AD →|=132×1=23.故直线BE 和平面ABB 1A 1所成的角的正弦值为23. (2)在棱C 1D 1上存在点F ,使B 1F ∥平面A 1BE . 证明如下:依题意,得A 1(0,0,1),BA 1→=(-1,0,1),BE →=⎝ ⎛⎭⎪⎫-1,1,12. 设n =(x ,y ,z )是平面A 1BE 的一个法向量, 则由n ·BA 1→=0,n ·BE →=0,得⎩⎪⎨⎪⎧-x +z =0,-x +y +12z =0. 所以x =z ,y =12z .取z =2,得n =(2,1,2). 设F 是棱C 1D 1上的点,则F (t ,1,1) (0≤t ≤1). 又B 1(1,0,1),所以B 1F →=(t -1,1,0).而B 1F ⊄平面A 1BE ,于是B 1F ∥平面A 1BE ⇔B 1F →·n =0⇔(t -1,1,0)·(2,1,2)=0⇔2(t -1)+1=0⇔t =12⇔F 为棱C 1D 1的中点.这说明在棱C 1D 1上存在点F (C 1D 1的中点),使B 1F ∥平面A 1BE .21.(本小题满分12分)如图所示,在三棱锥P -ABQ 中,PB ⊥平面ABQ ,BA =BP =BQ ,D ,C ,E ,F 分别是AQ ,BQ ,AP ,BP 的中点,AQ =2BD ,PD 与EQ 交于点G ,PC 与FQ 交于点H ,连接GH .(1)求证:AB ∥GH ;(2)求二面角D -GH -E 的余弦值.(1)证明 因为D ,C ,E ,F 分别是AQ ,BQ ,AP ,BP 的中点,所以EF ∥AB ,DC ∥AB ,所以EF ∥DC ,又EF ⊄平面PCD ,DC ⊂平面PCD ,所以EF ∥平面PCD ,又EF ⊂平面EFQ ,平面EFQ ∩平面PCD =GH , 所以EF ∥GH ,又EF ∥AB ,所以AB ∥GH . (2)解 法一 在△ABQ 中,AQ =2BD ,AD =DQ , 所以∠ABQ =90°,即AB ⊥BQ .因为PB ⊥平面ABQ ,AB ⊂平面ABQ ,所以AB ⊥PB , 又BP ∩BQ =B ,BP ,BQ ⊂平面PBQ ,所以AB ⊥平面PBQ , 由(1)知AB ∥GH ,所以GH ⊥平面PBQ ,又FH ⊂平面PBQ ,所以GH ⊥FH ,同理可得GH ⊥HC , 所以∠FHC 为二面角D -GH -E 的平面角. 设BA =BQ =BP =2,连接FC ,在Rt △FBC 中,由勾股定理得,FC =2, 在Rt △PBC 中,由勾股定理得,PC =5,又H 为△PBQ 的重心,所以HC =13PC =53,同理FH =53,在△FHC 中,由余弦定理得cos ∠FHC =59+59-22×59=-45, 因为二面角D -GH -E 为钝角, 故二面角D -GH -E 的余弦值为-45. 法二 在△ABQ 中,AQ =2BD ,AD =DQ ,所以∠ABQ =90°,又PB ⊥平面ABQ ,所以BA ,BQ ,BP两两垂直.以B 为坐标原点,分别以BA ,BQ ,BP 所在直线为x 轴、y 轴、z 轴,建立如图所示的空间直角坐标系,设BA =BQ =BP =2,则E (1,0,1,),F (0,0,1),Q (0,2,0),D (1,1,0),C (0,1,0),P (0,0,2),所以EQ →=(-1,2,-1),FQ →=(0,2,-1),DP→=(-1,-1,2),CP →=(0,-1,2).设平面EFQ 即平面GHE 的一个法向量为m =(x 1,y 1,z 1), 由m ·EQ→=0,m ·FQ →=0, 得⎩⎨⎧-x 1+2y 1-z 1=0,2y 1-z 1=0,取y 1=1,得m =(0,1,2). 设平面PDC 即平面DGH 的一个法向量为n =(x 2,y 2,z 2), 由n ·DP→=0,n ·CP →=0, 得⎩⎨⎧-x 2-y 2+2z 2=0,-y 2+2z 2=0,取z 2=1,得n =(0,2,1). 所以cos 〈m ,n 〉=m·n |m||n|=45.因为二面角D -GH -E 为钝角, 所以二面角D -GH -E 的余弦值为-45.22.(本小题满分12分)如图,在三棱锥P -ABC 中,AB =BC =22,P A =PB =PC =AC =4,O 为AC 的中点.(1)证明:PO ⊥平面ABC ;(2)若点M 在棱BC 上,且二面角M -P A -C 为30°,求PC 与平面P AM 所成角的正弦值.(1)证明 因为AP =CP =AC =4,O 为AC 的中点,所以OP ⊥AC ,且OP =2 3. 连接OB ,因为AB =BC =22AC ,所以△ABC 为等腰直角三角形,且OB ⊥AC ,OB =12AC =2.由OP 2+OB 2=PB 2知PO ⊥OB .又OB ∩AC =O ,OB ,AC ⊂平面ABC ,所以PO ⊥平面ABC .(2)解 如图,以O 为坐标原点,OB →的方向为x 轴正方向,建立空间直角坐标系Oxyz .由已知得O (0,0,0),B (2,0,0),A (0,-2,0),C (0,2,0),P (0,0,23),AP→=(0,2,23).取平面P AC 的一个法向量OB →=(2,0,0). 设M (a ,2-a ,0)(0<a ≤2),则AM →=(a ,4-a ,0).设平面P AM 的一个法向量为n =(x ,y ,z ).由AP →·n =0,AM →·n =0得⎩⎨⎧2y +23z =0,ax +(4-a )y =0,可取n =(3(a -4),3a ,-a ),所以cos 〈OB →,n 〉=23(a -4)23(a -4)2+3a 2+a 2.由已知可得|cos 〈OB →,n 〉|=32,所以23|a -4|23(a -4)2+3a 2+a 2=32, 解得a =-4(舍去),a =43,所以n =⎝⎛⎭⎪⎫-833,433,-43. 又PC→=(0,2,-23),所以cos 〈PC →,n 〉=34. 所以PC 与平面P AM 所成角的正弦值为34.。

人教版小学数学六年级上册期末检测课时练试卷习题

人教版小学数学六年级上册期末检测课时练试卷习题

人教小学数学TB 小初高题库人教小学数学 六年级上册 试卷好的开始,是成功的一半,祝您天天进步!来一起学习数学知识吧2016-2017学年上学期重点小学6年级期末检测卷班级: 姓名: 满分:100分 考试时间:90分钟 题序第一题第二题 第三题 第四题 第五题 第六题 第七题 总分得分一、填空题。

(17分)1.=( )÷8=9∶( )==( )% 34( )202.甲、乙两数的比是5∶4,甲数是乙数的( )%,乙数比甲数少( )%。

3.+( )=×( )=÷( )=1 14256114.比50米少20%的是( )米;35米比( )米多40%。

5.在○里填上“>”“<”或“=”。

÷○× ×○×× ×○÷ 5845584511(×)2315121315674367436.果园今年栽果树200棵,成活率是98%,( )棵没成活。

7.一个圆形游泳池的周长是31.4米,它的半径是( )米,占地面积是( )平方米。

二、判断题。

(对的画“￿”,错的画“✕”)(4分)1.一个数除以一个不等于0的数,等于乘这个数的倒数。

( )人教小学数学TB 小初高题库2.李师傅加工了105个零件,全部合格,合格率就是105%。

( )3.圆有无数条对称轴。

( )4.比5吨少,是4吨。

( )1545三、选择题。

(把正确答案的序号填在括号里)(4分)1.甲数是48,甲数的与乙数的相等,乙数是( )。

1614A.72B.32C.12D.82.把25克盐溶化在100克水中,盐占盐水的( )。

A.20% B.25%C.75%D.125%3.为了绿化城市,某街道要栽一批树苗,这批树苗的成活率是80%~90%,如果要栽活720棵,至少要栽种( )棵。

A.1000 B.900 C.800D.7204.用同样长的铁丝围成一个正方形和一个圆,它们的面积相比,( )。

三上课时练语文期末考试卷

一、选择题(每题2分,共20分)1. 下列词语中,字形、字音、词义完全相同的一项是()A. 坚定感动感慨B. 精神精彩精力C. 陶醉沉醉沉迷D. 热闹热烈热情2. 下列句子中,没有语病的一项是()A. 这个故事让我深受感动,我一定会把它记在心里。

B. 随着我国经济的快速发展,人民生活水平得到了极大的提高。

C. 他的成绩一直名列前茅,深受老师和同学们的喜爱。

D. 我今天发烧了,医生给我开了许多药。

3. 下列词语中,没有错别字的一项是()A. 骄傲憾事遵守B. 谦虚舒服遵守C. 愤怒奋进遵守D. 欣慰舒服遵守4. 下列句子中,运用了比喻修辞手法的一项是()A. 这朵花真美,就像一个美丽的姑娘。

B. 天上的月亮像一个银盘。

C. 这本书里的故事引人入胜。

D. 这里的风景如画。

5. 下列句子中,句式变换错误的一项是()A. 原句:我昨天去图书馆借了一本书。

改写:我昨天从图书馆借来一本书。

B. 原句:这本书很有趣。

改写:这本书很有趣味。

C. 原句:他每天都坚持锻炼身体。

改写:他每天都持之以恒地锻炼身体。

D. 原句:她是一个很有爱心的人。

改写:她是一个充满爱心的人。

二、填空题(每题2分,共20分)6. 《孔子世家》中有句话:“己所不欲,勿施于人。

”这句话告诉我们()。

7. 《离骚》中有一句诗:“路漫漫其修远兮,吾将上下而求索。

”这句诗表达了()。

8. 《三国演义》中,诸葛亮被誉为“卧龙”,他的故事有很多,以下哪个故事与诸葛亮无关?()A. 草船借箭B. 空城计C. 七擒孟获D. 望梅止渴9. 《红楼梦》中,贾宝玉、林黛玉、薛宝钗是主要人物,以下哪个人物与宝玉、黛玉、宝钗无关?()A. 贾政B. 贾元春C. 贾探春D. 贾迎春10. 《水浒传》中,宋江、吴用、武松、林冲是主要人物,以下哪个人物与宋江、吴用、武松、林冲无关?()A. 王进B. 卢俊义C. 关胜D. 解珍三、简答题(每题5分,共20分)11. 请简述《孟子》中的“性善论”和“性恶论”观点。

北师大小学数学四年级下册期末考试课时练试卷习题

北师大小学数学四年级下册好的开始,是成功的一半,祝您天天进步!发明在于发现,发现在于实践期末测试与评价一、填一填。

1、一粒黄豆约重0.35克, 0.35中的3在()位上,表示()个(),5在()位上,表示()个()。

2、一个数由2个十,6个0.01组成,这个数写作(),读作()。

3、5.62828……是一个()小数,可以记作()。

4、12.486按“四舍五入法”保留两位小数是(),保留一位小数是(),保留整数是()。

5、淘气今年a岁,爸爸比他大26岁,爸爸今年()岁。

妈妈的年龄是淘气的3倍,妈妈今年()岁。

6、在括号里填上合适的小数。

1千克80克=()千克 75厘米2=()分米27、把2.65、2.56、2.065、2.605按从小到大的顺序排列,排在第二位的是()。

8、把29.3扩大100倍,只要把小数点向()移动()位。

9、在下面线段中,用第()、第()和第()可以围成一个三角形。

①1cm ②2cm ③3cm ④4cm10、一个房顶的形状是等腰三角形,已知一个底角300,它的顶角度数是()。

11、三角形ABC中,∠A=25°,∠B=48°,∠C=(),这是一个()三角形。

二、我会判断。

(对的打“√”,错的打“×”)1、把3.6×5.78中乘数的小数点都去掉,积会比原来扩大1000倍。

()2、三角形如果有两个角是锐角,就一定是锐角三角形。

()3、小数点的后面添上或者去掉“0”,小数的大小不变。

()4、等边三角形是特殊的等腰三角形。

()5、整数除以小数,商一定小于被除数。

()三、我会选择。

(将正确答案的序号填写在括号内)1、下面各数,读数时只读一个零的是()。

A 50.09 B 4.005 C 7.09002、用放大10倍的放大镜看一个90°的角,看到的角是()。

A 90° B 900° C 180°3、0.3与0.4之间的小数有()。

北师大小学数学四年级上册期末检测试题8课时练试卷习题


自己的学习有一个全面的评价。请你仔细审题,认真答题,你就会有出色的表现。相信自己的实
力,祝你成功!
题 号 第一题 第二题 第三题 第四题 第五题 第六题
总分
分 值 24 5
5
30
8
28
得分
一、填空。24 分(每空 1 分)
1、一亿零九百零九万,写作(
);把它改写成用“万”作单位的数是( ),
约(
)亿。
)
3、亿以内数的读法是,每级末尾不管有几个“零”,都只读一个“零”。(
)
4、a×(b+c)=a×b+b×c 。
(
)
5、折线统计图也能反映数量的多少。
(
)
三、选择题。5 分
1、下午 5 时整,钟面上时针与分针所成的角是(
)。
A. 直角
B. 钝角
C. 锐角
D.平角
2、最大的三位数乘以最小的三位数,积是(
)。
A. 63×100+1 B. 63×100-1 C. 63×100+63 D. 63×100×1
四、计 1、 直 接
o
算。30 分
写出得数。6

50505=
198-982=
0765=
1014=
1258+2=
(980-80)30=
2、用竖式计算。9 分
TB 小初高题库
4081050=
43227=
1508 29=
3、用简便方法计算。9 分
329101
5498+4698
98125
4、列式计算。6 分 (1)一个数被 20 除,商是 16,余数是 15,求这个数。
7、以雷达站为观测点。鱼雷艇的位置是(北)偏东

课时作业本 期末检测卷

课时作业本期末检测卷(满分64分)一、词汇(6分)1. An iPhone XS is too (昂贵的). I'd like a Huawei P30.2. --Do you want to go to the zoo with me this weekend?-- (什么)? I can't hear you well.3. What about (let) me go dancing with you?4. He with his parents always (dress) up on the evening of October the 31st.5. Smiles on the (lady) faces show how they enjoy the race.6. --Where is Tom, Dad? Here is a letter for him. --He (lie) on the ground.二、单项选择(8分)( ) 1. There is “z” and “r” in the word “zero”.A. a; aB. an; anC. a; anD. an; a( ) 2. The T-shirt looks good you. I think you look so good this color.A. in; inB. in; onC. on; onD. on; in( ) 3. The shop isn't now. It at 9 a every morning.A. opened; openB. open; opensC. opening; opensD. opened; opens ( ) 4. --Can your little sister English?--Yes, she often goodbye to me in English.A. say; speaksB. tell; saysC. speak; saysD. talk; speaks ( ) 5. --I sometimes don't have enough time with my parents.--You should spend more time with them at home.A. to chat; to stayB. to chat; stayingC. chatting; to stayD. chatting; stayinh ( ) 6. My brother a dog now. Look! the dog after him.A. have; runB. has; runsC. has; is runningD. is having; is running ( ) 7. --I'm hungry. Could you please give me to eat?--How about cakes?A. something; anyB. anything; someC. something; someD. everything; any ( ) 8. The price of the T-shirt is not ,but this your dress is usually very .A. high; expensiveB. expensive; highC. high; highD. expensive; expensive三、完形填空改编的首字母填空(15分)Miss Hunt is a beautiful girl. Her father d 1 two years ago and her mother made a terrible mistake and was sent to prison(监狱). She began to live a h 2 life. When she her f 3 middle school, she couldn't go on studying. Her uncle found a job for her. Mr. Baker, a rich shopkeeper, hired(雇佣) her. Her work was to clean the rooms and sweep the floors. She tried her b 4 and worked hard. Mrs. Baker liked her and paid her m 5 than the other cleaners.It was Sunday, Mr. Baker was reading and Mrs Baker was watching TV in the sitting room. The girl came i 6 and said, “I'm s 7 , Mrs. Baker. I have to tell you I can't work for you any longer. I...”It s 8 Mr. and Mrs. Baker. The woman asked, “What makes you say that?Aren't we k 9 to you?”“Yes, you are, madam,” the girl said.“Do you find a piece of b 10 work?” Mrs. Baker asked.“No, I don't,” Miss Hunt said, “B 11 I don't think you trust(信任) me.”“No, you are w 12 , Miss Hunt,” said Mr. Baker, “I always think you are a g 13 girl and I often leave my k 14 in my office.”“It is true that you often leave the keys in your office,” said the girl, “but I can use none of them to o 15 the safe(保险箱).”“Well, ”said Mrs. Baker, “you can go right now!”四、任务型阅读(5分)Do you go to school by bus? It is very important for you to know how to be safe when taking a bus no matter whether you like it or not.First, don't run fast, but walk slowly to the bus stop while you are at the bus stop you should wait in a safe place do not run or play while waiting and never get into a car with a stranger.1 getting on a bus2 to the bus stop.Second, talk in a low voice when you are on the bus, so the driver will not be disturbed(打扰) if you need to talk with the bus driver. You'd better wait until the bus stops. Don't throw anything on the bus or out of the windows. Never play near the emergency exit(紧急出口). When there is a fire, the most important thing you should do is to break the window with a hammer(锤子) or any sharp things and then jump out.3 the window when there is a fire.Thirrd, when you are getting off the bus, make sure you work three more steps away from the door. This is the best place to be around a bus. Stay away from the bus wheels and watch out for moving cars.Finally, if you leave something on the bus, never return to the bus to get it. The driver may not know you come back and he or she may begin moving the bus. Also, if you drop something near the bus, tell the driver before you try to pick it up, so he or she will know where you are.Don't go back to the bus to 4 the thing you leave.Tell the bus driver before 5 to pick up the thing near the bus.五、阅读理解改编的首字母填空(20分)ⅠThere is a new park near Andy’s home. It's fine today. Andy and his family are in the p 1 now. On their left, there is a café. On the r 2 , there is a big lake. There are many flowers and trees a 3 the lake. There is a hill b 4 thelake. Near the lake, there are two signs. One says, “Don't swim in the lake!” The o 5 says, “No fishing!” But you can go b 6 on the lake. There is a beautiful garden in the m 7 of the park. There is green grass and b 8 flowers in it. There are some small shops b 9 the lake and the garden. The park is so nice. Andy and his f 10 like it very much.ⅡWe talk to three students from a 1 the world about different national holidays. There are different customs for each f 2 .Tan Xiaodong, 15, Hong Kong, ChinaThe Chinese New Year is in J 3 or February. Before it, we clean the house and decorate(装饰)it for good luck. During the festival, every shop is closed for a few days and we go out a lot to c 4 in the streets. We can go and see the lion and dragon d 5 in the city center. I love this festival.Wendy, 16, Sydney, AustraliaAustralia Day is on January the 26th and it's an important holiday here. We always have a day's holiday on Monday, so we celebrate for three days. My parents and I go to the countryside for a p 6 and friends always come over. Many people go to beach parties or street parties and there's lots of music and dance. What f 7 .Amy, 14, New York, the USAOn the first Thanksgiving Day, Europeans(欧洲人) in America thanked god for his help. It's still a very important day for families to be t 8 . This year, we are going to visit my grandparents and we’ll eat a nice m 9 of turkey. Thanksgiving Day is on the fourth T 10 in November in the US every year. 六、首字母填空(10分)Mr. Clark works in the middle school. He loves to read books and often b 1 some books from the library. He listens to the radio every morning and reads newspapers after supper. So he knows much and t 2 well. His s 3 admire(钦佩) him very much. Mike, Mr. Clark's little son, is only 9. He also likes r 4 books and he often asks his father some q 5 . Mr. Clark always thinks he is too y 6 to understand him and choose the easiest ones to answer. Of course, the boy is not happy with it.One day, Mike reads s 7 about the electric lights(电灯) and is very i 8 in it. When his father tells him to do some housework. He goes on thinking about it. He asks him a few questions and his father answers all then his father says proudly(自豪地), “Fathers always know m 9 than sons.”The boy thinks for a while and says, “I don't think so.”“Oh? why?”Mike doesn't answer and asks instead, “W 10 invented the electric lights?”“Thomas Edison,” answers Mr. Clark.“Why didn't his father invent them then?”Looking at his son, Mr. Clark didn't know what to answer.。

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课时作业本期末检测卷(满分64分)一、词汇(6分)1. An iPhone XS is too (昂贵的). I'd like a Huawei P30.2. --Do you want to go to the zoo with me this weekend?-- (什么)? I can't hear you well.3. What about (let) me go dancing with you?4. He with his parents always (dress) up on the evening of October the 31st.5. Smiles on the (lady) faces show how they enjoy the race.6. --Where is Tom, Dad? Here is a letter for him. --He (lie) on the ground.二、单项选择(8分)( ) 1. There is “z” and “r” in the word “zero”.A. a; aB. an; anC. a; anD. an; a( ) 2. The T-shirt looks good you. I think you look so good this color.A. in; inB. in; onC. on; onD. on; in( ) 3. The shop isn't now. It at 9 a every morning.A. opened; openB. open; opensC. opening; opensD. opened; opens ( ) 4. --Can your little sister English?--Yes, she often goodbye to me in English.A. say; speaksB. tell; saysC. speak; saysD. talk; speaks ( ) 5. --I sometimes don't have enough time with my parents.--You should spend more time with them at home.A. to chat; to stayB. to chat; stayingC. chatting; to stayD. chatting; stayinh ( ) 6. My brother a dog now. Look! the dog after him.A. have; runB. has; runsC. has; is runningD. is having; is running ( ) 7. --I'm hungry. Could you please give me to eat?--How about cakes?A. something; anyB. anything; someC. something; someD. everything; any ( ) 8. The price of the T-shirt is not ,but this your dress is usually very .A. high; expensiveB. expensive; highC. high; highD. expensive; expensive三、完形填空改编的首字母填空(15分)Miss Hunt is a beautiful girl. Her father d 1 two years ago and her mother made a terrible mistake and was sent to prison(监狱). She began to live a h 2 life. When she her f 3 middle school, she couldn't go on studying. Her uncle found a job for her. Mr. Baker, a rich shopkeeper, hired(雇佣) her. Her work was to clean the rooms and sweep the floors. She tried her b 4 and worked hard. Mrs. Baker liked her and paid her m 5 than the other cleaners.It was Sunday, Mr. Baker was reading and Mrs Baker was watching TV in the sitting room. The girl came i 6 and said, “I'm s 7 , Mrs. Baker. I have to tell you I can't work for you any longer. I...”It s 8 Mr. and Mrs. Baker. The woman asked, “What makes you say that?Aren't we k 9 to you?”“Yes, you are, madam,” the girl said.“Do you find a piece of b 10 work?” Mrs. Baker asked.“No, I don't,” Miss Hunt said, “B 11 I don't think you trust(信任) me.”“No, you are w 12 , Miss Hunt,” said Mr. Baker, “I always think you are a g 13 girl and I often leave my k 14 in my office.”“It is true that you often leave the keys in your office,” said the girl, “but I can use none of them to o 15 the safe(保险箱).”“Well, ”said Mrs. Baker, “you can go right now!”四、任务型阅读(5分)Do you go to school by bus? It is very important for you to know how to be safe when taking a bus no matter whether you like it or not.First, don't run fast, but walk slowly to the bus stop while you are at the bus stop you should wait in a safe place do not run or play while waiting and never get into a car with a stranger.1 getting on a bus2 to the bus stop.Second, talk in a low voice when you are on the bus, so the driver will not be disturbed(打扰) if you need to talk with the bus driver. You'd better wait until the bus stops. Don't throw anything on the bus or out of the windows. Never play near the emergency exit(紧急出口). When there is a fire, the most important thing you should do is to break the window with a hammer(锤子) or any sharp things and then jump out.3 the window when there is a fire.Thirrd, when you are getting off the bus, make sure you work three more steps away from the door. This is the best place to be around a bus. Stay away from the bus wheels and watch out for moving cars.Finally, if you leave something on the bus, never return to the bus to get it. The driver may not know you come back and he or she may begin moving the bus. Also, if you drop something near the bus, tell the driver before you try to pick it up, so he or she will know where you are.Don't go back to the bus to 4 the thing you leave.Tell the bus driver before 5 to pick up the thing near the bus.五、阅读理解改编的首字母填空(20分)ⅠThere is a new park near Andy’s home. It's fine today. Andy and his family are in the p 1 now. On their left, there is a café. On the r 2 , there is a big lake. There are many flowers and trees a 3 the lake. There is a hill b 4 thelake. Near the lake, there are two signs. One says, “Don't swim in the lake!” The o 5 says, “No fishing!” But you can go b 6 on the lake. There is a beautiful garden in the m 7 of the park. There is green grass and b 8 flowers in it. There are some small shops b 9 the lake and the garden. The park is so nice. Andy and his f 10 like it very much.ⅡWe talk to three students from a 1 the world about different national holidays. There are different customs for each f 2 .Tan Xiaodong, 15, Hong Kong, ChinaThe Chinese New Year is in J 3 or February. Before it, we clean the house and decorate(装饰)it for good luck. During the festival, every shop is closed for a few days and we go out a lot to c 4 in the streets. We can go and see the lion and dragon d 5 in the city center. I love this festival.Wendy, 16, Sydney, AustraliaAustralia Day is on January the 26th and it's an important holiday here. We always have a day's holiday on Monday, so we celebrate for three days. My parents and I go to the countryside for a p 6 and friends always come over. Many people go to beach parties or street parties and there's lots of music and dance. What f 7 .Amy, 14, New York, the USAOn the first Thanksgiving Day, Europeans(欧洲人) in America thanked god for his help. It's still a very important day for families to be t 8 . This year, we are going to visit my grandparents and we’ll eat a nice m 9 of turkey. Thanksgiving Day is on the fourth T 10 in November in the US every year. 六、首字母填空(10分)Mr. Clark works in the middle school. He loves to read books and often b 1 some books from the library. He listens to the radio every morning and reads newspapers after supper. So he knows much and t 2 well. His s 3 admire(钦佩) him very much. Mike, Mr. Clark's little son, is only 9. He also likes r 4 books and he often asks his father some q 5 . Mr. Clark always thinks he is too y 6 to understand him and choose the easiest ones to answer. Of course, the boy is not happy with it.One day, Mike reads s 7 about the electric lights(电灯) and is very i 8 in it. When his father tells him to do some housework. He goes on thinking about it. He asks him a few questions and his father answers all then his father says proudly(自豪地), “Fathers always know m 9 than sons.”The boy thinks for a while and says, “I don't think so.”“Oh? why?”Mike doesn't answer and asks instead, “W 10 invented the electric lights?”“Thomas Edison,” answers Mr. Clark.“Why didn't his father invent them then?”Looking at his son, Mr. Clark didn't know what to answer.。

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