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人教版选修【1-2】2.1.1《合情推理》习题及答案

人教版选修【1-2】2.1.1《合情推理》习题及答案
人教版选修【1-2】2.1.1《合情推理》习题及答案

数学·选修1-2(人教A版)

2.1 合情推理与演绎推理

2.1.1 合情推理

?达标训练

1.数列2,5,11,20,x,47,…中的x等于( )

A.28 B.32

C.33 D.27

答案:B

2.已知三角形的三边长分别是a,b,c,其内切圆的半径为r,

则三角形的面积为:S=1

2

(a+b+c)r,利用类比推理,可以得出四面

体的体积为( )

A.V=1

3 abc

B.V=1

3 Sh

C.V=1

3

(S1+S2+S3+S4)·r(其中S1,S2,S3,S4分别是四面体四

个面的面积,r为四面体内切球的半径)

D.V=1

3

(ab+bc+ca)h(h为四面体的高)

解析:根据类比的一般原理,三角形的边长和面积分别类比于四面体的面积和体积,因而可以得出答案C.

答案:C

3.根据给出的数塔猜测123 456×9+7等于( )

1×9+2=11 12×9+3=111 123×9+4=1 111 1 234×9+5=11 111 12 345×9+6=111 111

A .1 111 110

B .1 111 111

C .1 111 112

D .1 111 113

解析:由数塔呈现的规律知,结果是各位都是1的7位数. 答案:B 4.等比数列{}a n 满足:m ,n ,p ,q ∈N *,若m +n =p +q ,则a m ·a n

=a p ·a q .由此类推可得,在等差数列{}a n 中,若有m ,n ,p ,q ∈N *,且m +n =p +q ,则有( )

A .a m ·a n =a p ·a q

B .a m +a n =a p +a q

C.a m a n =a p

a q

D .a m -a n =a p -a q

答案:B

5.下面使用类比推理正确的是( )

A .“若a ·3=b ·3,则a =b ”类推出“若a ·0=b ·0,则a =b ”

B .“(a +b )c =ac +bc ”类推出“(a ·b )c =ac ·bc ”

C .“(a +b )c =ac +bc ”类推出“a +b c

=a c +b

c (c ≠0)”

D .“(ab )n =a n b n ”类推出“(a +b )n =a n +b n ”

答案:C

6.如右图所示,面积为S 的凸四边形的第i 条边的边长记为a i (i

= 1,2,3,4),此四边形内任一点P到第i条边的距离记为h i(i=

1,2,3,4),若a1

1

a2

2

a3

3

a4

4

=k,则∑

i=1

4

(a i h i)=2S

k

.类比以上性质,体积为V的

三棱锥的第i个面的面积记为S i(i=1,2,3,4),此三棱锥内任一点Q到第i 个面的距离记为H i(i= 1,2,3,4),若

S1 1=

S2

2

S3

3

S4

4

=K,则∑

i=1

4

(S i H i)=

( )

A.4V

K

B.

3V

K

C.2V

K

D.

V

K

解析:从平面类比到空间,通常是边长类比为面积,面积类比为

体积,又凸四边形中,面积为S=1

2

(a1h1+a2h2+a3h3+a4h4),而在三

棱锥中,体积为V=1

3

(S1H1+S2H2+S3H3+S4H4),即存在系数差异,所

以,上述性质类比为B.

答案:B

?素能提高

1.下图是用同样规格的黑、白两色正方形瓷砖铺设的若干图案,则按此规律第n个图案中需用黑色瓷砖________块(用含n的代数式表示).

解析:第(1),(2),(3),…个图案黑色瓷砖数依次为:

15-3=12,24-8=16,35-15=20,…

由此可猜测第n个图案黑色瓷砖数为:

12+(n -1)×4=4n +8.

答案:4n +8

2.图1是一个边长为1的正三角形,分别连接这个三角形三边中点,将原三角形剖分成4个三角形(如图2),再分别连接图2中一个小三角形三边的中点,又可将原三角形剖分成7个三角形(如图3),…,依此类推,设第n 个图中三角形被剖分成a n 个三角形,则第4个图中最小三角形的边长为________;a 100=________.

图1 图2 图3

答案:1

8

298

3.观察下列不等式:

1+122<32,

1+122+132<53,

1+122+132+142<74,

照此规律,第五个不等式为_____________________________.

解析:观察不等式的左边发现,第n 个不等式的左边=1+122+1

3

2

+…+1

(n +1)2,右边=2(n +1)-1n +1,

所以第五个不等式为

1+122+132+142+152+162<116

. 答案:1+122+132+142+152+162<11

6

4.(2013·广州二模)数列{a n }的项是由1或2构成,且首项为1,在第k 个1和第k +1个1之间有2k -1个2,即数列{a n }为:1,2,1,2,2,2,1,2,2,2,2,2,1,…,记数列{a n }的前n 项和为S n ,则S 20=______;S 2013=______.

答案:36 3981

5.半径为r 的圆的面积S (r )=πr 2,周长C (r )=2πr ,若将r 看作(0,+∞)上的变量,则(πr 2)′=2πr .①

①式可以用语言叙述为:圆的面积函数的导数等于圆的周长函数.

对于半径为R 的球,若将R 看作(0,+∞)的变量,请你写出类似于①的式子②:_______________________________________.

②式可以用语言叙述为:_______________________________.

解析:V (R )=4

3πR 3,又? ??

??43πR 3′=4πR 2,故②式可填=

4πR 2,用语言叙述为“球的体积函数的导数等于球的表面积函数”.

答案:? ??

??

43πR 3′=4πR 2 球的体积函数的导数等于球的表面积函

6.(2013·江门佛山二模)将集合{2s +2t |0≤s <t 且s ,t ∈Z}中的元素按上小下大,左小右大的原则排成如图的三角形数表,将数表中位于第i 行第j 列的数记为b ij (i ≥j >0),则b 43=________.

答案:20

7.在等差数列{}a n 中,若a 10=0,则有等式a 1+a 2+…+a n =a 1

+a 2+…+a 19-n (n <19,n ∈N *)成立.类比上述性质,在等比数列{}b n 中,若b 9=1,则有等式______________________成立.

解析:a 10是等差数列{}a n 的前19项的中间项,而b 9是等比数列{}b n 的前17项的中间项.所以答案应为:b 1b 2…b n =b 1b 2…b 17-n (n <17,n ∈N *).

答案:b 1b 2…b n =b 1b 2…b 17-n (n <17,n ∈N *)

8.在平面内观察发现:凸四边形有2条对角线,凸五边形有5条对角线,凸六边形有9条对角线,…,由此猜测凸n 边形有几条对角线.

解析:凸四边形有2条对角线;

凸五边形有5条对角线,比凸四边形多3条对角线; 凸六边形有9条对角线,比凸五边形多4条对角线;…

归纳猜测:凸n 边形的对角线条数,比凸n -1边形多

对角线,于是得到凸n 边形的对角线条数为2+3+4+…+(n -2)=

1

2

n (n -3)(n ≥4,n ∈N *).

?品味高考

1.传说古希腊毕达哥拉斯学派的数学家经常在沙滩上画点或用小石子表示数.他们研究过下图所示的三角形数:

将三角形数1,3,6,10,…记为数列{a n },将可被5整除的三角形数按从小到大的顺序组成一个新数列{b n },可以推测:

(1)b 2 012是数列{a n }中的第________项; (2)b 2k -1=________(用k 表示).

解析:由以上规律可知三角形数1,3,6,10,…的一个通项公式为a n =n (n +1)2

,写出其若干项有:

1,3,6,10,15,21,28,36,45,55,66,78,91,105,120,发现其中能被5整除的为10,15,45,55,105,120,

故b 1=a 4,b 2=a 5,b 3=a 9,b 4=a 10,b 5=a 14,b 6=a 15. 从而由上述规律可猜想:

b 2k =a 5k +=5k (5k +1)

2

(k 为正整数),

b 2k -1=a 5k -1=(5k -1)(5k -1+1)2=5k (5k -1)

2

故b 2 012=b 2×1 006=a 5 030,即b 2 012是数列{a n }中的第5 030项.

答案:(1)5 030 (2)5k (5k -1)

2

点评:本题考查归纳推理,猜想的能力.归纳推理题型重在猜想,不一定要证明,但猜想需要有一定的经验与能力,不能凭空猜想.

2.(2013·陕西卷)观察下列等式: (1+1)=2×1

(2+1)(2+2)=22×1×3

(3+1)(3+2)(3+3)=23×1×3×5 …

照此规律,第n 个等式可为______________________________.

答案:(n +1)(n +2)·…·(n +n )=2n ×1×3×5×…×(2n -1) 3.(2013·湖北卷)在平面直角坐标系中,若点P (x ,y )的坐标x ,y 均为整数,则称点P 为格点.若一个多边形的顶点全是格点,则称该多边形为格点多边形.格点多边形的面积记为S ,其内部的格点数记为N ,边界上的格点数记为L .例如图中△ABC 是格点三角形,对应的S =1,N =0,L =4.

(1)图中格点四边形DEFG 对应的S ,N ,L 分别是________; (2)已知格点多边形的面积可表示为S =aN +bL +c ,其中a ,b ,c 为常数.若某格点多边形对应的N =71,L =18,则S =________(用数值作答).

解析:(1)四边形DEFG是一个直角梯形,观察图形可知:

S=(2+22)×2×1

2=3,N=1,L=6.

(2)由(1)知,S四边形DEFG=a+6b+c=3.

S△ABC=4b+c=1.

在平面直角坐标系中,取一“田”字型四边形,构成边长为2的正方形,该正方形中S=4,N=1,L=8.

则S=a+8b+c=4.联立解得a=1,b=1

2,c=-1.

∴S=N+1

2L-1,∴若某格点多边形对应的N=71,L=18,

则S=71+1

2×18-1=79. 答案:(1)3,1,6(2)79

人教版高中英语选修6课本练习答案

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Unit 1A SHORT HISTORY OF WESTERN PAINTING Art is influenced by the customs and faith of a people. Styles in Western art have changed many times. As there are so many different styles of Western art, it would be impossible to describe all of them in such a short text. Consequently, this text will describe only the most important ones. Starting from the sixth century AD. The Middle Ages(5th to the 15th century AD) During the Middle Ages, the main aim of painters was to represent religious themes. A conventional artistof this period was not interested in showing nature and people as they really were. A typical picture at this time was full of religious symbols, which created a feeling of respect and love for God. But it was evident that ideas were changing in the 13th century when painters like Giotto di Bondone began to paint religious scenes in a more realistic way. The Renaissance(15th to 16th century) During the Renaissance, new ideas and values gradually replaced those held in the Middle Ages. People began to concentrate less on religious themes and adopt a more humanistic attitude to life.At the same time painters returned to classical Roman and Greek ideas about art. They tried to paint people and nature as they really were. Rich people wanted to possess their own paintings, so they coule decorate their superb palaces and great houses. They paid famous artists to paint pictures of themselves, their houses and possessions as well as their activities and achievements. One of the most important discoveries during this period was how to draw things in perspective. This technique was first used by Masaccio in 1428. When people first saw his paintings, they were convinced that they were looking through a hole in a wall at a real scene. If the rules of perspective had not been discovered, no one would have been able to paint such realistic pictures. By coincidence,oil paints were also developed at this time, which made the colours used in paintings look richer and deeper. Without the new paints and the new technique, we would not be able to see the many great masterpieces for which this period is famous. Impressionism(late 19h to early 20th century) In the late 19th century, Europe changed a great deal,from a mostly agricultural society to a mostly industrial one. Many people moved from the countryside to the new cities. There were many new inventions and social changes also led to new painting styles. Among the painters who broke away from the traditional style of painting were the Impressionists, who lived and worke in Paris. The Impressionists were the first painters to work outdoors. They were eager to show how light and shadow fell on objects at different times of day. However, because natural light changes so quickly, the Impressionists had to paint quickly. Their paintings were not as detailed as those of earlier painters. At first, many people disliked this style of painting and became very angry about it. They said that the painters were careless and their paintings were ridiculous. Modern Art(29th century to today) At the time they were created, the Impressionist paintings were controversial, but today they are accepeted as the beginning of what we call "modern art". This is

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选修6 Unit 1 Art-Reading A SHORT HISTORY OF WESTERN PAINTING Art is influenced by the customs and faith of a people. Styles in Western art have changed many times. As there are so many different styles of Western art, it would be impossible to describe all of them in such a short text. Consequently, this text will describe only the most important ones, starting from the sixth century AD. The Middle Ages (5th to the 15th century AD) During the Middle Ages, the main aim of painters was to represent religious themes. A conventional artist of this period was not interested in showing nature and people as they really were. A typical picture at this time was full of religious symbols, which created feeling of respect and love for God. But it was evident that ideas were changing in the 13th century when painters like Giotto di Bondone began to paint religious scenes in a more realistic way. The Renaissance (15th to 16th century) During the Renaissance, new ideas and values graduallv replaced those held in the Middle Ages.People began to concentrate less on religious themes and adopt a more humanistic attitude to life. At the same time painters returned to classical Roman and Greek ideas about art. They tried to paint people and nature as they really were. Rich people wanted to possess t heir own paintings, so they could decorate their superb palaces and great houses. They paid famous artists to paint pictures of themselves, their houses and possessions as well as their activities and achievements. One of the most important discoveries during this period was how to draw things in perspective. This technique was first used by Masaccio in 1428. When people first saw his paintings, they were convinced that they were looking through a hole in a wall at a real scene. If the roles of perspective had not been discovered, no one would have been able to paint such realistic pictures. By coincidence, oil paints were also developed at this time, which made the colours used in paintings look richer and deeper. Without the new paints and the new technique, we would not be able to see the many great masterpieces for which this period is famous. Impressionism (late 19th to early 20th century) In the late 19th century, Europe changed a great deal. from a mostly agricultural society to a mostly industrial one. Many people moved from the countryside to the new cities. There were many new inventions and social changes. Naturally, these changes also led to new painting styles. Among the painters who broke away from the traditional style of painting were the Impressionists, who lived and worked in Paris.

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生物选修1知识点总结 专题1传统发酵技术的应用 课题1果酒和果醋的制作 【补充知识】发酵 1.概念:利用微生物或其他生物的细胞在有氧或无氧条件下繁殖或积累其代谢产物的过程。 2.类型: (1)根据是否需要氧气分为:需氧发酵和厌氧发酵。 (2)根据产生的产物可分为:酒精发酵、乳酸发酵、醋酸发酵等。 一.基础知识 (一)果酒制作的原理 1.菌种是酵母菌,属于真核生物,新陈代谢类型异养兼性厌氧型,有氧时,进行有氧呼吸, 大量繁殖,反应式为:C 6H 12O 6+6H 2O+6O 2 →6CO 2+12H 2O+能量;无氧时, 能进行酒精发酵,反应式为:C 6H 12O 6→2C 2H 5OH+2CO 2+能量。 酶 酶

2.酵母菌繁殖的最适温度20℃左右,酒精发酵一般控制在18~25℃。 3.自然发酵过程中,起作用的主要是附着于葡萄皮上的野生型酵母菌。也可以在 果汁中加入人工培养的酵母菌。(二)果醋制作的原理 1.菌种是醋酸菌,属于原核生物,新陈代谢类型为异养需氧型。只有在氧气充足时,才能进行旺盛的生命活动。变酸的酒表面观察到的菌膜就是醋酸菌在液面大量繁殖形成的。 2.当氧气、糖源都充足时,醋酸菌将葡萄汁中的糖分解成醋酸,当缺少糖源时, 醋酸菌将乙醇变为乙醛,再将乙醛变为醋酸,反应简式为C 2H 5OH+O 2→CH 3COOH+H 2O 。 3.醋酸菌的最适合生长温度为30~35℃。 4.菌种来源:到生产食醋的工厂或菌种保藏中心购买,或从食醋中分离醋酸菌。二.实验设计 1.流程图 挑选葡萄→冲洗→榨汁→酒精发酵→醋酸发酵 ↓↓ 果酒 果醋 2.制作实例 (1)实验材料葡萄、榨汁机、纱布、醋酸菌(或醋曲)、发酵瓶(如右图)、气泵、体积分数为70%的酒精等。 (2)实验步骤 酶

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1专题一传统发酵技术的应用 课题1 果酒和果醋的制作 1、发酵:通过微生物技术的培养来生产大量代谢产物的过程。 2、有氧发酵:醋酸发酵谷氨酸发酵· 无氧发酵:酒精发酵乳酸发酵 3、酵母菌是兼性厌氧菌型微生物真菌·酵母菌的生殖方式:出芽生殖(主要)分裂生殖孢子生殖 4、在有氧条件下,酵母菌进行有氧呼吸,大量繁殖。 C6H12O6+6O2→6CO2+6H2O 5、在无氧条件下,酵母菌能进行酒精发酵。 C6H12O6→2C2H5OH+2CO2 6、20℃左右最适宜酵母菌繁殖酒精发酵时一般将温度控制在18℃-25℃ 7、在葡萄酒自然发酵的过程中,起主要作用的是附着在葡萄皮表面的野生型酵母菌.在发酵过程中,随着酒精浓度的提高,红葡萄皮的色素也进入发酵液,使葡萄酒呈现深红色.在缺氧呈酸性的发酵液中,酵母菌可以生长繁殖,而绝大多数其他微生物都因无法适应这一环境而受到制约。 8、醋酸菌是单细胞细菌(原核生物),代谢类型是异养需氧型,生殖方式为二分裂 9、当氧气、糖源都充足时,醋酸菌将葡萄汁中的糖分解成醋酸;当缺少糖源时,醋酸菌将乙醇变为乙醛,再将乙醛变为醋酸。 1

2C2H5OH+4O2→CH3COOH+6H2O 10、控制发酵条件的作用①醋酸菌对氧气的含量特别敏感,当进行深层发酵时,即使只是短时间中断通入氧气,也会引起醋酸菌死亡。②醋酸菌最适生长温度为30~35℃,控制好发酵温度,使发酵时间缩短,又减少杂菌污染的机会。③有两条途径生成醋酸:直接氧化和以酒精为底物的氧化。 11、实验流程:挑选葡萄→冲洗→榨汁→酒精发酵→果酒(→醋酸发酵→果醋) 12、酒精检验:果汁发酵后是否有酒精产生,可以用重铬酸钾来检验。在酸性条件下,重铬酸钾与酒精反应呈现灰绿色。先在试管中加入发酵液2mL,再滴入物质的量浓度为3mol/L的H2SO43滴,振荡混匀,最后滴加常温下饱和的重铬酸钾溶液3滴,振荡试管,观察颜色. 13、充气口是在醋酸发酵时连接充气泵进行充气用的;排气口是在酒精发酵时用来排出二氧化碳的;出料口是用来取样的。排气口要通过一个长而弯曲的胶管与瓶身相连接,其目的是防止空气中微生物的污染。开口向下的目的是有利于二氧化碳的排出。使用该装置制酒时,应该关闭充气口;制醋时,应该充气口连接气泵,输入氧气。 课题2 腐乳的制作 1、多种微生物参与了豆腐的发酵,如青霉、酵母、曲霉、毛霉等,其中起主要作用的是毛霉。毛霉是一种丝状真菌。代谢类型是异养需氧型。生殖方式是孢子生殖。营腐生生活。 2、原理:毛霉等微生物产生的蛋白酶能将豆腐中的蛋白质分解成小分子的肽和氨基酸;脂肪酶可将脂肪水解为甘油和脂肪酸。 3、实验流程:让豆腐上长出毛霉→加盐腌制→加卤汤装瓶→密封腌制 4、酿造腐乳的主要生产工序是将豆腐进行前期发酵和后期发酵。 前期发酵的主要作用: (1)创造条件让毛霉生长。 2

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Unit 1A SHORT HISTORY OF WESTERN PAINTING Art is influenced by the customs and faith of a people. Styles in Western art have changed many times. As there are so many different styles of Western art, it would be impossible to describe all of them in such a short text. Consequently, this text will describe only the most important ones. Starting from the sixth century AD. The Middle Ages(5th to the 15th century AD) During the Middle Ages, the main aim of painters was to represent religious themes. A conventional artistof this period was not interested in showing nature and people as they really were. A typical picture at this time was full of religious symbols, which created a feeling of respect and love for God. But it was evident that ideas were changing in the 13th century when painters like Giotto di Bondone began to paint religious scenes in a more realistic way. The Renaissance(15th to 16th century) During the Renaissance, new ideas and values gradually replaced those held in the Middle Ages. People began to concentrate less on religious themes and adopt a more humanistic attitude to life.At the same time painters returned to classical Roman and Greek ideas about art. They tried to paint people and nature as they really were. Rich people wanted to possess their own paintings, so they coule decorate their superb palaces and great houses. They paid famous artists to paint pictures of themselves, their houses and possessions as well as their activities and achievements. One of the most important discoveries during this period was how to draw things in perspective. This technique was first used by Masaccio in 1428. When people first saw his paintings, they were convinced that they were looking through a hole in a wall at a real scene. If the rules of perspective had not been discovered, no one would have been able to paint such realistic pictures. By coincidence,oil paints were also developed at this time, which made the colours used in paintings look richer and deeper. Without the new paints and the new technique, we would not be able to see the many great masterpieces for which this period is famous. Impressionism(late 19h to early 20th century) In the late 19th century, Europe changed a great deal,from a mostly agricultural society to a mostly industrial one. Many people moved from the countryside to the new cities. There were many new inventions and social changes also led to new painting styles. Among the painters who broke away from the traditional style of painting were the Impressionists, who lived and worke in Paris. The Impressionists were the first painters to work outdoors. They were eager to show how light and shadow fell on objects at different times of day. However, because natural light changes so quickly, the Impressionists had to paint quickly. Their paintings were not as detailed as those of earlier painters. At first, many people disliked this style of painting and became very angry about it. They said that the painters were careless and their paintings were ridiculous. Modern Art(29th century to today) At the time they were created, the Impressionist paintings were controversial, but today they are accepeted as the beginning of what we call "modern art". This is because the Impressionists encouraged artists to look at their environment in new ways. There are scores of modern art styles,but without the Impressionists, many of these painting styles might not exsist. On the one hand, some modern art is abstract; that is, the painter does not attempt to paint objects as we see them with our eyes, but instead concentrates n certain qualities of the object,

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高中英语选修6 Unit 1 A SHORT HISTORY OF WESTERN PAINTING Art is influenced by the customs and faith of a people. Styles in Western art have changed many times. As there are so many different styles of Western art, it would be impossible to describe all of them in such a short text. Consequently, this text will describe only the most important ones. Starting from the sixth century AD. The Middle Ages(5th to the 15th century AD) During the Middle Ages, the main aim of painters was to represent religious themes. A conventional artistof this period was not interested in showing nature and people as they really were. A typical picture at this time was full of religious symbols, which created a feeling of respect and love for God. But it was evident that ideas were changing in the 13th century when painters like Giotto di Bondone began to paint religious scenes in a more realistic way. The Renaissance(15th to 16th century) During the Renaissance, new ideas and values gradually replaced those held in the Middle Ages. People began to concentrate less on religious themes and adopt a more humanistic attitude to life.At the same time painters returned to classical Roman and Greek ideas about art. They tried to paint people and nature as they really were. Rich people wanted to possess their own paintings, so they coule decorate their superb palaces and great houses. They paid famous artists to paint pictures of themselves, their houses and possessions as well as their activities and achievements. One of the most important discoveries during this period was how to draw things in perspective. This technique was first used by Masaccio in 1428. When people first saw his paintings, they were convinced that they were looking through a hole in a wall at a real scene. If the rules of perspective had not been discovered, no one would have been able to paint such realistic pictures. By coincidence,oil paints were also developed at this time, which made the colours used in paintings look richer and deeper. Without the new

人教版《英语选修6》(普通高中课程标准实验教科书)

人教版《英语选修6》(普通高中课程标准实验教科书) 单元词汇、音标、词义。Unit 1 realistic/ri?'listik/ a.现实主义的;逼真的;现实的 abstract/'?bstr?kt/ a.抽象的;深奥的n.摘要 sculpture/'sk?lpt??/n.雕塑 sculptor/'sk?lpt?/n.雕刻家;雕塑家 gallery/'g?l?ri/n.美术陈列室;画廊 faith/feiθ/n.信任;信心;信念 faithfully/'feiθfuli/ad.忠实地 consequently/'k?nsikw?ntli/ad.所以;因而 aim/eim/n.目标;目的vi.vi.瞄准;(向某方向)努力 conventional/k?n'ven??nl/ a.常规的;传统的;因循守旧的 typical/'tipik?l/ a.典型的;有代表性的 evident/'evid?nt/ a.明显的;明白的 Giotto di Bondone乔托 renaissance/r?'neis?ns/n.新生;复兴;复活 the Renaissance文艺复兴(时期) adopt/?'d?pt/vt.采用;采纳;收养 humanistic/hju:m?'nistik/ a.人道主义的 possess/'p?'zes/vt.拥有;具有;支配 possession/p?'ze??n/n.所有;财产 superb/sju:'p?:b/ a.卓越的;杰出的;极好的 perspective/p?:'spektiv/n.透视画法;透视图;观点 technique/tek'ni:k/n.技术;方法;技能 Masaccio/mɑ:'zɑ:tt?ou/马萨乔 coincidence/'k?uin'sid?ns/n.巧合(的事);相合 by coincidence巧合地 masterpiece/'mɑ:st?pi:s/n.杰作;名著 impressionism/im'pr???n'iz?m/n.印象主义;印象派 impressionist/im'pre??nist/ a.印象派的n.印象派艺术家 post-impressionist a.后印象派的n.后印象派艺术家 a great deal n.大量 shadow/'??d?u/n.阴影;影子 ridiculous/ri'dikjul?s/ a.荒谬的;可笑的 controversial/'k?ntr?'v?:??l/ a.争论的;争议的 attempt/?'tempt/n.努力;尝试;企图vt.尝试;企图 on the other hand adv.(可是)另一方面

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