美的不同表現(xiàn)形式有不同的形容：壯美、俊美、秀美、柔美ppt課件

1、美的不同表現(xiàn)方式有不同的描畫：壯美、俊美、秀美、柔美、優(yōu)美數(shù)學(xué)美也呈現(xiàn)多樣性，我們分為：簡約美、對稱美、調(diào)和美和奇特美。簡約美是人們最欣賞的一種美，在藝術(shù)、建筑、徽標(biāo)等的設(shè)計(jì)中最為常見。中國畫更是表達(dá)了簡約美。數(shù)學(xué)以簡約而著稱！大數(shù)和小數(shù)的表示：10221，286243 ，10-900數(shù)的表示：一切數(shù)均可由1,2,3,5,6,7,8,9,0表示.(稱為阿拉伯?dāng)?shù)字,但是由印度人發(fā)明的.由阿拉伯人傳到西方.)方式上和位置上意義非凡, 絕妙非常.實(shí)踐上, 0的出現(xiàn)大約要晚好幾百年.23 6 236 2306簡約美的開展過程: 2354=940羅馬人的算法:CCXXXV IVCCCCCCCCXXXXX

2、XXXXXXXVVVVDCCC CXX XX CMXL表示900表示40十進(jìn)制與二進(jìn)制:十進(jìn)制:8989= 1 26+0 25 + 1 24 + 1 23 + 0 22 + 0 21 + 1 20二進(jìn)制:1011001十進(jìn)制:符號多(10),表示上簡約,方便人工運(yùn)算,但系統(tǒng)復(fù)雜.二進(jìn)制:符號少(2), 表示上費(fèi)事,方便機(jī)器運(yùn)算,但系統(tǒng)簡單.二進(jìn)制與最簡單的自然景象(信號的兩極)結(jié)合,培育了計(jì)算機(jī)！其它符號的簡約美：未知量：x,y,z知量：,e, a,b,c函數(shù)關(guān)系：f(x)外形符號：其它符號的簡約美：運(yùn)算符號：函數(shù)與邏輯：, d， ， ， ， sin,cos,dx1220,(),FvcdFmv

3、dtm mFkr牛頓第一定律牛頓第二定律，萬有引力定律幾何：點(diǎn)對稱、線對稱、面對稱、球?qū)ΨQ。球面被以為最完美！代數(shù)與函數(shù)論：共軛數(shù)共軛復(fù)數(shù)、共軛空間。運(yùn)算：交換律、分配律，函數(shù)與反函數(shù)運(yùn)算。二項(xiàng)式定理的展開式中的系數(shù)構(gòu)成二項(xiàng)式定理的展開式中的系數(shù)構(gòu)成的楊輝三角形：的楊輝三角形：11 2 13 3 11 4 6 4 11 5 10 5 1命題變換中：命題變換中：命題命題 逆命題逆命題 否命題否命題 逆否命題逆否命題一致與調(diào)和美是數(shù)學(xué)美的又一側(cè)面，一致與調(diào)和美是數(shù)學(xué)美的又一側(cè)面，它比對稱美具有廣泛性。以幾何與它比對稱美具有廣泛性。以幾何與代數(shù)的調(diào)和與一致的表現(xiàn)為例：行代數(shù)的調(diào)和與一致的表現(xiàn)為例：行

4、列式與矩陣列式與矩陣平面上過點(diǎn)平面上過點(diǎn)(x1, y1),(x2, y2)的的直線方程直線方程:11221101xyxyxy平面上過點(diǎn)平面上過點(diǎn)(x1, y1),(x2, y2), (x3, y3)的圓方程的圓方程:2222111122222222333311011xyxyxyxyxyxyxyxy22020axbycaxbxycydxeyf平面上所有直線一般形式：平面上所有二次曲線一般形式：,ahbdbcedeacfabbc ， 是平移其性質(zhì)和類型取決三和旋轉(zhuǎn)變換下不個(gè)量：變的量。1.0,0,;0,0,;0 為橢圓為雙曲線;=0為拋物線.2. =0,為橢圓為相交兩直線;=0平行或重合兩直線奇特

5、：稀罕、出呼預(yù)料但有引人入勝！10.166666666666666666666610.142857 142857 142857 142857 79876543218.72966339123456789 6036849 5493532699 0000000 000 00 114702300090331010100310100:9876543219812345678912345678999919 101234567891091109876543219189 1012345678910nnnn而且而所以2222222333:,2,xyzxabyab zababxyz勾股定理有非零的正整數(shù)解:3,4,

6、5;5,12,13.其一般解為:其中為一奇一偶的正整數(shù).那么,3次不定方程:有沒有非零的正整數(shù)解?:2!,.300.nnnxyzn此即為著名的當(dāng)時(shí)沒有正整數(shù)解費(fèi)馬在一本書的邊上寫道 他已經(jīng)解決了這個(gè)問題但是沒有留下證明在此后的年一直是一馬猜想個(gè)懸念費(fèi)18世紀(jì)最偉大的數(shù)學(xué)家歐拉(Euler)證明了n=3,4時(shí)費(fèi)馬定理成立；后來，有人證明當(dāng)n105是定理成立。20世紀(jì)80年代以來，獲得了突破性的進(jìn)展。2019年英國數(shù)學(xué)家Andrew Wiles的108頁論文處理了費(fèi)馬定理。他2019年獲wolf獎(jiǎng)，2019年獲Fielz獎(jiǎng)。121:4?nnnnnnnxxxx推廣時(shí)不定方程是否有非平凡整數(shù)解dLaI

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