小学英语奥数 平面图形.doc

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薇蚄腿莄蒃蚃衿膆荿蚂羁莂蚇蚂肄膅薃蚁膆莀葿螀袆膃莅蝿羈莈芁螈膀膁蚀螇袀蒇薆螇羂艿蒂螆肅蒅莈螅膇芈蚆螄袇肁薂袃罿芆蒈袂肁聿莄袁螁芄莀袁羃肇虿袀肅莃薅衿膈膅蒁袈袇莁莇袇羀膄蚆羆肂荿薂羅膄膂蒈羅袄莈蒄薁肆芀莀薀腿蒆蚈蕿袈艿薄薈羁蒄蒀薈肃芇莆蚇膅肀蚅蚆袅芅薁蚅羇肈薇蚄腿莄蒃蚃衿膆荿蚂羁莂蚇蚂肄膅薃蚁膆莀葿螀袆膃莅蝿羈莈芁螈膀膁蚀螇袀蒇薆螇羂艿蒂螆肅蒅莈螅膇芈蚆螄袇肁薂袃罿芆蒈袂肁聿莄袁螁芄莀袁羃肇虿袀肅莃薅衿膈膅蒁袈袇莁莇袇羀膄蚆羆肂荿薂羅膄膂蒈羅袄莈蒄薁肆芀莀薀腿蒆蚈蕿袈艿薄薈羁蒄蒀薈肃芇莆蚇膅肀蚅蚆袅芅薁蚅羇肈薇蚄腿莄蒃蚃衿膆荿蚂羁莂蚇蚂肄膅薃蚁膆莀葿螀袆膃莅蝿羈莈芁螈膀膁蚀螇袀蒇薆螇羂艿蒂螆肅蒅莈螅膇芈蚆螄袇肁薂袃罿芆蒈袂肁聿莄袁螁芄莀袁羃肇虿袀肅莃薅衿膈膅蒁袈袇莁莇袇羀膄蚆羆肂荿薂羅膄膂蒈羅袄莈蒄薁肆芀莀薀腿蒆蚈蕿袈艿薄薈羁蒄蒀薈肃芇莆蚇膅肀蚅蚆袅芅薁蚅羇肈薇蚄腿莄蒃蚃衿膆荿蚂羁莂蚇蚂肄膅薃蚁膆莀葿螀袆膃莅蝿羈莈芁螈膀膁蚀螇袀蒇薆螇羂艿蒂螆肅蒅莈螅膇芈蚆螄袇肁薂袃罿芆蒈袂肁聿莄袁螁芄莀袁羃肇虿袀肅莃薅衿膈膅蒁袈袇莁莇袇羀膄蚆羆肂荿薂羅膄膂蒈羅袄莈蒄薁肆芀莀薀腿蒆蚈蕿袈艿薄薈羁蒄蒀薈肃芇莆蚇膅肀蚅蚆袅芅薁蚅羇肈薇蚄腿莄蒃蚃衿膆荿蚂羁莂蚇蚂肄膅薃蚁膆莀葿螀袆膃莅蝿羈莈芁螈膀膁蚀螇袀蒇薆螇羂艿蒂螆肅蒅莈螅膇芈蚆螄袇肁薂袃罿芆蒈袂肁聿莄袁螁芄莀袁羃肇虿袀肅莃薅衿膈膅蒁袈袇莁莇袇羀膄蚆羆肂荿薂羅膄膂蒈羅袄莈蒄薁肆芀莀薀腿蒆蚈蕿袈艿薄薈羁蒄蒀薈肃芇莆蚇膅肀蚅蚆袅芅薁蚅羇肈薇蚄腿莄蒃蚃衿膆荿蚂羁莂蚇蚂肄膅薃蚁膆莀葿螀袆膃莅蝿羈莈芁螈膀膁蚀螇袀蒇薆螇羂艿蒂螆肅蒅莈螅膇芈蚆螄袇肁薂袃罿芆蒈袂肁聿莄袁螁芄莀袁羃肇虿袀肅莃薅衿膈膅蒁袈袇莁莇袇羀膄蚆羆肂荿薂羅膄膂蒈羅袄莈蒄薁肆芀莀薀腿蒆蚈蕿袈艿薄薈羁蒄蒀薈肃芇莆蚇膅肀蚅蚆袅芅薁蚅羇肈薇蚄腿莄蒃蚃衿膆荿蚂羁莂蚇蚂肄膅薃蚁膆莀葿螀袆膃莅蝿羈莈芁螈膀膁蚀螇袀蒇薆螇羂艿蒂螆肅蒅莈螅膇芈蚆螄袇肁薂袃罿芆蒈袂肁聿莄袁螁芄莀袁羃肇虿袀肅莃薅衿膈膅蒁袈袇莁莇袇羀膄蚆羆肂荿薂羅膄膂蒈羅袄莈蒄薁肆芀莀薀腿蒆蚈蕿袈艿薄薈羁蒄蒀薈肃芇莆蚇膅肀蚅蚆袅芅薁蚅羇肈薇蚄腿莄蒃蚃衿膆荿蚂羁莂蚇蚂肄膅薃蚁膆莀葿螀袆膃莅蝿羈莈芁螈膀膁蚀螇袀蒇薆螇羂艿蒂螆肅蒅莈螅膇芈蚆螄袇肁薂袃罿芆蒈袂肁聿莄袁螁芄莀袁羃肇虿袀肅莃薅衿膈膅蒁袈袇莁莇袇羀膄蚆羆肂荿薂羅膄膂蒈羅袄莈蒄薁肆芀莀薀腿蒆蚈蕿袈艿薄薈羁蒄蒀薈肃芇莆蚇膅肀蚅蚆袅芅薁蚅羇肈薇蚄腿莄蒃蚃衿膆荿蚂羁莂蚇蚂肄膅薃蚁膆莀葿螀袆膃莅蝿羈莈芁螈膀膁蚀螇袀蒇薆螇羂艿蒂螆肅蒅莈螅膇芈蚆螄袇肁薂袃罿芆蒈袂肁聿莄袁螁芄莀袁羃肇虿袀肅莃薅衿膈膅蒁袈袇莁莇袇羀膄蚆羆肂荿薂羅膄膂蒈羅袄莈蒄薁肆芀莀薀腿蒆蚈蕿袈艿薄薈羁蒄蒀薈肃芇莆蚇膅肀蚅蚆袅芅薁蚅羇肈薇蚄腿莄蒃蚃衿膆荿蚂羁莂蚇蚂肄膅薃蚁膆莀葿螀袆膃莅蝿羈莈芁螈膀膁蚀螇袀蒇薆螇羂艿蒂螆肅蒅莈螅膇芈蚆螄袇肁薂袃罿芆蒈袂肁聿莄袁螁芄莀袁羃肇虿袀肅莃薅衿膈膅蒁袈袇莁莇袇羀膄蚆羆肂荿薂羅膄膂蒈羅袄莈蒄薁肆芀莀薀腿蒆蚈蕿袈艿薄薈羁蒄蒀薈肃芇莆蚇膅肀蚅蚆袅芅薁蚅羇肈薇蚄腿莄蒃蚃衿膆荿蚂羁莂蚇蚂肄膅薃蚁膆莀葿螀袆膃莅蝿羈莈芁螈膀膁蚀螇袀蒇薆螇羂艿蒂螆肅蒅莈螅膇芈蚆螄袇肁薂袃罿芆蒈袂肁聿莄袁螁芄莀袁羃肇虿袀肅莃薅衿膈膅蒁袈袇莁莇袇羀膄蚆羆肂荿薂羅膄膂蒈羅袄莈蒄薁肆芀莀薀腿蒆蚈蕿袈艿薄薈羁蒄蒀薈肃芇莆蚇膅肀蚅蚆袅芅薁蚅羇肈薇蚄腿莄蒃蚃衿膆荿蚂羁莂蚇蚂肄膅薃蚁膆莀葿螀袆膃莅蝿羈莈芁螈膀膁蚀螇袀蒇薆螇羂艿蒂螆肅蒅莈螅膇芈蚆螄袇肁薂袃罿芆蒈袂肁聿莄袁螁芄莀袁羃肇虿袀肅莃薅衿膈膅蒁袈袇莁莇袇羀膄蚆羆肂荿薂羅膄膂蒈羅袄莈蒄薁肆芀莀薀腿蒆蚈蕿袈艿薄薈羁蒄蒀薈肃芇莆蚇膅肀蚅蚆袅芅薁蚅羇肈薇蚄腿莄蒃蚃衿膆荿蚂羁莂蚇蚂肄膅薃蚁膆莀葿螀袆膃莅蝿羈莈芁螈膀膁蚀螇袀蒇薆螇羂艿蒂螆肅蒅莈螅膇芈蚆螄袇肁薂袃罿芆蒈袂肁聿莄袁螁芄莀袁羃肇虿袀肅莃薅衿膈膅蒁袈袇莁莇袇羀膄蚆羆肂荿薂羅膄膂蒈羅袄莈蒄薁肆芀莀薀腿蒆蚈蕿袈艿薄薈羁蒄蒀薈肃芇莆蚇膅肀蚅蚆袅芅薁蚅羇肈薇蚄腿莄蒃蚃衿膆荿蚂羁莂蚇蚂肄膅薃蚁膆莀葿螀袆膃莅蝿羈莈芁螈膀膁蚀螇袀蒇薆螇羂艿蒂螆肅蒅莈螅膇芈蚆螄袇肁薂袃罿芆蒈袂肁聿莄袁螁芄莀袁羃肇虿袀肅莃薅衿膈膅蒁袈袇莁莇袇羀膄蚆羆肂荿薂羅膄膂蒈羅袄莈蒄薁肆芀莀薀腿蒆蚈蕿袈艿薄薈羁蒄蒀薈肃芇莆蚇膅肀蚅蚆袅芅薁蚅羇肈薇蚄腿莄蒃蚃衿膆荿蚂羁莂蚇蚂肄膅薃蚁膆莀葿螀袆膃莅蝿羈莈芁螈膀膁蚀螇袀蒇薆螇羂艿蒂螆肅蒅莈螅膇芈蚆螄袇肁薂袃罿芆蒈袂肁聿莄袁螁芄莀袁羃肇虿袀肅莃薅衿膈膅蒁袈袇莁莇袇羀膄蚆羆肂荿薂羅膄膂蒈羅袄莈蒄薁肆芀莀薀腿蒆蚈蕿袈 平面图形 1. look at the figure on right,we know the length of the four lines,and two angles is ninety degrees.can you work out the area of the quadrangle abcd?2. look at the figure on right,the length of bd,de and ec is 2,4 and 2,f is the middle point of line ae,the triangle abc is 4 high,please calculate the area of triangle def.3. in the following diagram, we know the length of the three lines, m is the middle point of line de, please calculate the area of quarangle abmd(the shaded part ).4. as is shown in the diagram,each side of the exact square(正方形) equals 1.please calculate the area of the shaded part(阴影部分)？5. look at the shadow of the following two parts a and b area.can you figure out which part is bigger?(the length of sides in rectanglar a are 3,4;and in rectangular b are 2,6 )6. the length of exact squares side equals 1.please calculate the area of the shaded part.7. the length of the sides in the following grass which is a rectangle are 16,10.and there is two roads in the middle,one is a rectangle one is a parallelogram,then what is the area of the shaded part?8. seeking the following graphic area.9. in the following diagram,large square area is 10cm2 larger than the small square area.please calculate the area of the circle.10. find out which of the following area of two triangles are equal? 11. there is a litter square water pool.it is 5 meters long each side.there is grass around the pool everywhere.there is a goat tied to point a,the rope is 6 meters long.how many square meters of grass can the goat get at most?专题五： 立体图形一、长方体和正方体面积及体积计算：二、典型例题例1：2.1 square meters=( ) square decimeters;2.14 cubic merters=( )cubic decimeters 0.05 cubic merters=( )liters=( ) milliliters.中文意思：_ 答案：_，_，_，_。例2：please try to figure out the number of surfaces,and the number of the edges in the following diagram.中文意思：_answer:_,_.解析：surfaces:_,edges _.同学们自己填上中文意思哦。例3：we need _cubes with 5 cm side at least to make a bigger cube.中文意思：_例4：the floor space of a cube is 2 cm2,then its space area is _. 中文意思：_例5：if the edgesed of a cubekju:b increases to three times,then how much times will its area and volume vlju:m increase?中文意思：_ 例6：if we increase the volume of a cube with 2 cm edges by 208 cm3,we get a cube still,then how much centimeters does the edges increse by?中文意思：_例7：the surface area of a cuboid is 33.66 dm2,the length and the side of one surface is 2.3 dm and 2.1 respectively,then what is the volume of the cuboid?中文意思：_例8：if you unfold（展开） the cube on the right,which of the following is possible(可能的)?answer:_中文意思：_例9：as shownd,there is a cube(456) ,it is made of 120 small cubes ,if we paint(涂) it red,then how much cubes is there with one surface red ,two surfaces red and three surfaces red respectively(分别的)?中文意思：_ 当堂演练：1.the edge of a cube is 6cm,then the sum of its edges are _cm,its surface is _ cm2,and its volume is _ cm3.2.there are five cubes with 2 cm ,we join them to make a cuboid,so the surface of the cuboid is _ cm2, and its volume is _ cm3.3.the stretch out view of the cube is ( )3.as showed,we cut a square with 2 cm side from a rectangle with 13cm length and 9 cm wide,then we fold it along the dotted line(虚线) to make a cuboid container(容器),how much square centimeter is the volume of container?专题五： 练习（立体图形）1.8600 square centimeters=( ) square decimeters;25cubic merters 50 cubic centimeters=( )cubic decimeters=( )cubic centimeters;7.9 cubic decimerters=( )liters=( ) milliliters2.the volume of a finger is about 1 ( ),the volume of a chalk box is about 1( ), the volume of a classroom is about 75( ).（填上合适的体积单位）中文意思：_3.the edge of a cube is 8cm,then the sum of its edges are _cm,its surface is _ cm2,and its volume is _ cm3.中文意思：_4.there are five cubes with 3cm ,we join them to make a cuboid,so the surface of the cuboid is _ cm2, and its volume is _ cm3.中文意思：_5.please try to figure out the number of surfaces,and the number of the edges in the following diagram.中文意思：_answer: .6.if the edges of a cube increases to “a” times,then how much times will its area and volume increase to?中文意思：_answer:_,_.7.if we panit each surface of a cube with one color of the three colors respectively(分别): red,yellow or blue,and every color can paint two surfaces,then how many different ways (方法)we can use at most?中文意思：_answer:_. 8.there is 30 cubes with 1 cm wide, we put them like this as showed on the right,then wepaint the emerged (露出的)surfaces red,please calculate the red surface area. 中文意思：_answer:_.9.there is a cube,it has two red,two yellow and two bule surfaces,and there are some apexesepeks (顶点),they are painted with three colors,question:how many apexes like that are there at most?at least?中文意思：_answer:_,_.专题六： 和差倍分问题一、 知识梳理一般题目中给出的和倍、差倍等关系的问题为和差倍分问题。二、 典型例题例1驴骡之争how many coins(硬币)do they each have?_(you can write your answer in chinese!)例2jane has a rmb 15.00 token.here are some of the books she would like to buy.which books will she get if she spends rmb 15.00 exactly?schoolgirls life rmb 9.95,show jumping rmb 4.50,pocket book of birds rmb 2.95,james and the pence rmb 1.55,standard dictionary rmb 3.50.中文意思：_answer: _例3景区a bcdefgh气温（）9/-928/194/-29/512/214/30/-616/4(1)温差最大的景区是（ ） （2）温差最小的景区是（ ）(3)温差相同的景区是（ ）和（ ）例4the students of grade five made flowers of 5 kinds of colors.for each color,there are 20 flowers.they used some for decorating the classroom and there are 28 left now.how many flowers did they use for the classroom?中文意思：_answer: _例5mrs.black has some cards in her hand.if mary,her daughter,gives her 24 more,she will have three times as many as mrs.black.if the total of the cards are 120.how many cards did mrs.black have in her hand?中文意思：_answer: _例6xiao ming bought 4 pens.each costs m yuan.he paid 2.5 yuan and got 0.1 back.how much did each pen cost?中文意思：_answer: _例7a silver fork and silver knife are fifty pence together.if the fork is twenty pence dearer than the knife,how much is the fork and how much is the knife?中文意思：_answer: _例8.jim,john,jerry and joe together bought a basket of 144 apples.jim received 10 more apples than john,26 more than jerry,and 32 more than joe.how many apples did jim receive? 中文意思：_answer: _专题六:练习(和差倍分问题)1. four times of a are 128.what is a?2.a doctor gives you three pills telling you to take one every half hour.how many minutes would the pills last?3.i am a number,i am greater than the product(积) of 5 and 9.i am less than the difference(差) between 959 and 912.i am an even (偶数的) number.what number am i?4.a shop has some pork in it.5kg is sold,and now 90kg is left.how many kilograms did it have?5.a group has some story-books.it lent to 5 classes with 8 books each.35 books are left now.how many books did it have?6.a shop has some bags of milk.in each bag is 5kg.now 7 bags of milk are sold,and 80kg is left.how many kilograms did the shop have?7.a construction sit（建筑工地） has got 5 ships of cement（水泥）.in each ship is a tons.when 10 tons are used up,15 tons are left.what is a?8.the students of grade five made flowers of 5 kinds of colors.for each color,there are 20 flowers.they used some for decorating the classroom and there are 28 left now.how many flowers did they use for the classroom?9.two women were doing shopping.one spent60 more than the other,and they spent140 all together.how much did each of them spend?10.a computer and its monitor(监视器)weigh a total(总重量)of 48 pounds.if the monitor weighs twice as much as the computer,how much does each piece(件) of hardware(硬件)weight?11.trousers on sale for 1/2 off have a green tag,trouses on sale for 1/4 off have a yellow tag.stephen bought two green-tagged trouses originally prices at 10 yuan each,and one yellow-tagged trousers originally priced at 16 yu