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11.1. She is _________(pretty)girl in the group.This story is ( interesting) than that one.4.9.12、写出下列形容词和副词的比较级和最高级. John is ________( short) than Tom.4, Jim or Kate,this one or that one. Alicewrites _____________(carefully ) than I.Who’s ________(careful).15.10.6. Which film is __________ (interesting), as .16. John is the best student _______ the class.That is ________(easy) of all. Can you show me________(near) shop here. The red book is bigger _______ the blue one、用所给形容词和副词的适当形式填空.7一、在下列句子中填入than, but it is much ______ (wide) than that one, Tom。1.He is __________(clever )boy in the class. The lesson is more interesting ________ that one. This table is as big _____ that one.3.2?8. This bridge is as _______ ( long) as that one. I think English is one of _____ (important ) subjects in middle school. I am only one year ________ (young) than you.That was one of _________( exciting) moments in 2008.Which lesson is __________ (difficult) in Book 2.3.This kind of food must be ________ ( delicious )than that one, of 或in.5?13.三?14。fast ______ ______wide ______ _______ easy _______ ______small______ ______ large_______ _______ dirty_______ _______long ______ ______ rude ______ _______ busy_______ __________hot_______ _______ thin_______ _______ fat ______ _________few _______ _______ good_______ ______ little_______ ________badly_______ ______ far_______ _______ difficult_______ _____二.Beihai park is one of ____________ (beautiful ) parks in Beijing?2
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more carefully3, of 或in. more interesting4, longestruder,烦请点击页面中的 选为满意回答
按钮, most difficult二. the most exciting5、写出下列形容词和副词的比较级和最高级. the most difficult2, rudestfurther. the most beautiful7, largestdirtier, leastworse. more interesting13。1, fattestfewer. more delicious6、在下列句子中填入than. long. than如果可以;furthestmore difficult. the easiest9. than3, fastestwider, bestless一, easiestsmaller. in4, wider15。faster. the cleverest 或 the most clever10, fewestbetter,谢谢, dirtiestlonger, smallestlarger、用所给形容词和副词的适当形式填空. younger三, worstfarther&#47, busiesthotter, thinnestfatter. the most careful8. the most important16, farthest&#47.1. the nearest14. shorter11, hottestthinner, as . as2, widesteasier. the prettiest12
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出门在外也不愁求英语(数学牛人)帮忙翻译一下外国题解答_英语吧_百度贴吧
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求英语(数学牛人)帮忙翻译一下外国题解答收藏
Proof The claim is certainly true for a triangle. Any triangle can be embedded in a rectangle of twice its area.
Interestingly, the more general fact follows from this simple observation. Let K be a convex polygon of area 1. Pick two most distant vertices of the polygon.
These are vertices A and E in the diagram. Through A and E draw lines LA and LE perpendicular to AE. Since the distance between A and E is the largest of all the distances between any two points of K, neither LA or LE meet K in points other than A and E. Draw a line perpendicular to LA and LE away from K on the right. Move towards K until it first touches K. The line will then share with K either a side of a vertex. In the diagram this is vertex C and the line is called LC. Similarly, find a line perpendicular to LA and LE to the left from K and move it towards K until the first contact. This is line LG in the diagram. The four lines form a rectangle. Call it R. Line AE separates R into two smaller rectangles, say RG and RC. Join A and E to C and G. The area of ΔAEG is half that of rectangle RG. The area of ΔAEC is half that of rectangle RC. The area of the quadrilateral ACEG is half that of R. Since K is convex, ACEG lies entirely within K and hence its area is at most 1. It follows that the area of R is at most 2. If need be, to answer the requirement it may be enlarged to enclose the area of 2.
慢慢翻译嘛
英语吧大神出现吧
顶一下说不定有高手出现
第一个图应该是说证明任何一个三角形都可以嵌入到它自身两倍面积的长方形中吧……其他的好长……眼都花了
楼上的这个我也知道...不过还是很感动加油
Proof The claim is certainly true for a triangle. Any triangle can be embedded in a rectangle of twice its area. (证明此声明对三角形是一定正确的,任何一个三角形都可以插入到一个一个他面积两倍的长方体形中。) Interestingly, the more general fact follows from this simple observation. Let K be a convex polygon of area 1. Pick two most distant vertices of the polygon.(非常有趣,一些更加一般的论据来自于简单的观察。以K为区间1中一个凸出的多边形。选出多边形上两个最远的顶点。)
These are vertices A and E in the diagram. Through A and E draw lines LA and LE perpendicular to AE. Since the distance between A and E is the largest of all the distances between any two points of K, neither LA or LE meet K in points other than A and E. Draw a line perpendicular to LA and LE away from K on the right. Move towards K until it first touches K. The line will then share with K either a side of a vertex. In the diagram this is vertex C and the line is called LC. Similarly, find a line perpendicular to LA and LE to the left from K and move it towards K until the first contact. This is line LG in the diagram.在图中选出的是A同E两个端点。分别通过A及E作两条垂直AE于的垂直线LA,LE.因此A,E两点间的距离是K多边形上任意两点间最远的,LA,LE与多边形K只相交于A,E两点。作一条在多边形K以外右边垂直于LA,LE的垂直线,将此垂直线向K方向移动,直接刚好与K的顶点相交,此时此垂直线与K共享一个端点。在此图表中,此顶点是C,称此垂直线是LC,类似地,在多边形K的左边也找到一样的顶点G,以及垂直于LA,LE的垂直线LG。 The four lines form a rectangle. Call it R. Line AE separates R into two smaller rectangles, say RG and RC. (LA,LE,LC,LG)一个长方形的四条边。此长方形为R。AE把R分成两个更小的长方形,称之为RG,RC。Join A and E to C and G. The area of ΔAEG is half that of rectangle RG. The area of ΔAEC is half that of rectangle RC. The area of the quadrilateral ACEG is half that of R. Since K is convex, ACEG lies entirely within K and hence its area is at most 1. It follows that the area of R is at most 2. If need be, to answer the requirement it may be enlarged to enclose the area of 2.把A,E,C,G连结在一起。此三角形AEG的面积为RG长方形的一半。三角形AEC的面积是长方形RC面积的一半。这个四边形ACEG的面积是长方形R(LA,LC,LR,LG组成的那个)的一半。由于K是凸出的,ACEG四个顶点都在K上,因此K的面积至多为1。同样的R的面积为至多为2。有需要的话,为了满足要求,它可以扩大到把2围起来?
哥们,人才呀!
第一句和第一个图是举一个简单的例子,任意一个三角形都能像如图那样嵌入一个面积是该三角形两倍的矩形中。(这个相当于是作为定理了,不要你证。)然后说这个简单的定理适用于下面这个复杂点的图形。原本只有多边形ABCDEFG,然后找到距离最远的两个点A和E画出一条边叫AE。然后垂直于AE画出边La和Le。然后垂直于La和Le画出边Lc,并且Lc通过点C。同样画出边Lg,使Lg通过点G。于是四条边La,Lc,Le,Lg就围出一个矩形R。AE把矩形R分为相等的两半,左边叫Rg,右边叫Rc。于是通过图一的基本定理,可以得出三角形AGE的面积是矩形Rg的一半,三角形ACE的面积是矩形Rc的一半。于是平行四边形ACEG的面积就是整个矩形R的一半。因为平行四边形ACEG完全包含在多边形K里面,所以ACEG的面积不会超过1,所以矩形R的面积不会超过2。所以想让R的面积是2就要把R加大。
说错了一点,AE只是把R分为两半,并不一定是相等的两半。
太厉害了谢谢大家...辛苦了哈
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求英语好的帮忙解答一下以下的英语题!
dependentD. ownedD. anyhowC.
He has won wide _____ in the field of occupational medicine. functionB. fractionD.A. Mary was an excellent cook.A. somehowB. except for
5.A. request2. ambitionD. exceptB. requirementC. inD. professionC. requisiteD. besidesD. availableC.A. transitionC, to get help from his teachers and classmates. onC.A. transformB.
They worked hard to _____their small business into a large one. demandedC, _____. friction
7. requisitionB. recollectionB.
Some people don’t think that online articles are _____reports on facts. appliedB. ambassadorB. from
8, he always tries.
Whenever he has trouble in study. in addition toC. ambulanceC. disagreed
His father is the British_____ to Japan.
I have seen that this method had been_____by many people, since he was with her a few minutes ago.A. reliable
_____ all her other qualifications. transitD. prevalentB?A. ofB. embarrass
3. recognitionD.
How can you convince him_____ the death of his wife. fictionC.
The organization performed an important _____ in protecting the rights of children. production
6. no matter howD.A.
We supply every_____ for traveling1. transport
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1C 2A 3A 4B 5C 6A 7A 8D 9A 10D
1~5CAABC6~10AADAD
CAABC AADAD
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出门在外也不愁几道英语的题目 求英语好的高手帮忙解答 在线等!!!!!!!!!_百度知道
几道英语的题目 求英语好的高手帮忙解答 在线等!!!!!!!!!
1Do you like my dress?Please be h___!2He felt s___ because his little dog died last night3He is very tired and h___ after a long journey1Role-play is ___(help) in developing english speaking2 ___(eat) too much is bad for your health
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.sorry3.helpful5.hungry4.Honest2
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