中華民國在台灣,
人無悲觀的權利,刻正樂觀是義務。
禽獸才有悲觀的權利,被眷養的禽獸樂出來是受寵,隨時處在被宰是義務,猴群蟻眾,植物昆蟲,微生物細菌等,,,則是自成一家,因為它們少有食用價值,猴群獨特就因為太像人的緣故,蚊子是惱人無人受益的群族,蔬果則是
受人喜愛的群族,鑽石人人愛的石頭竟被視同生命。
所有生命最公平的原本只是向前走,
且光陰長短任誰也改變不了恆進,
固守原本是必要的至少,排除悲觀
刻正樂觀就贏在起跑點了。
2017年9月27日 星期三
念 Read
「原本的念」
中國灑錢愚笨才跟隨,共產黨員數僅千萬計,
十三億人口破億個家,是家的力量推動進步,
非黨的本事造就當下,如同我們的勤儉戶長,
往好的方向看思定作,自然再提升實現夢想,,,
「Originally read」
China sprinkle money stupid to follow,
The number of Communist Party only tens of millions,
1.3 billion people broke the country,
Is the strength of the family to promote progress,
Non-party work made the moment,
As our diligent long,
To the good direction to think of thinking,
Naturally to enhance the realization of the dream.
「元首不能被使命綁架」
人類的歷史是接續無間斷的,所以
孫文先生建立的中華民國確實是
蔣介石先生繼之而起,雖敗逃但經
全民磐手觝足勇往直前,至今已達
民生值嘉,民權至上,民主噴張的境地；
回顧毫無間斷的地球人類史,
各地戰亂恐攻頻傳的原由,是自持
正義雙方或多方拉扯翻臉的後果,
原因無它,就在"人間有鬼因利謀",
促成"天堂地獄果瞬轉",幸虧有著
數十幾億個的"家",仍然守分往前,
才有當下幸褔與悲慘的對比。
權力的掌握絕不該是使命的化身,
元首位尊更該面對自己,為這億萬
數計的家負責,今日科技昌盛訊息
光速遍傳全球的實況,個人的惡決
必然立刻成為眾矢之的,豬羊色變
天堂一夜翻轉成地獄 使命 作邃呀。
「The head of state can not be kidnapped by the mission」
The history of mankind is uninterrupted, so
Mr. Sun Wen established the Republic of China is indeed
Mr. Chiang kai-shek continued, but defeated but by
All the people of the hand to move forward, has reached
The people's livelihood, the supremacy of civil rights,
The reasons for the spread of fear of war everywhere is self-sustaining
Justice or both sides pull the consequences of turning the face,
Reason no it, in the "human ghosts for profit",
Contributed to "heaven hell guilty turn", thanks to have
Dozens of hundreds of millions of "home", still keep points forward,
Only the current Fortune and tragic contrast.
The power of the master should never be the embodiment of the mission,
Yuan first respect for the face of their own, for this hundreds of millions
Count the number of home is responsible for today's technology prosperity message
The speed of light spread throughout the world live, personal evil
Must immediately become the target of the public, pig sheep color change
Paradise turned into a hell mission overnight.
中國灑錢愚笨才跟隨,共產黨員數僅千萬計,
十三億人口破億個家,是家的力量推動進步,
非黨的本事造就當下,如同我們的勤儉戶長,
往好的方向看思定作,自然再提升實現夢想,,,
「Originally read」
China sprinkle money stupid to follow,
The number of Communist Party only tens of millions,
1.3 billion people broke the country,
Is the strength of the family to promote progress,
Non-party work made the moment,
As our diligent long,
To the good direction to think of thinking,
Naturally to enhance the realization of the dream.
「元首不能被使命綁架」
人類的歷史是接續無間斷的,所以
孫文先生建立的中華民國確實是
蔣介石先生繼之而起,雖敗逃但經
全民磐手觝足勇往直前,至今已達
民生值嘉,民權至上,民主噴張的境地；
回顧毫無間斷的地球人類史,
各地戰亂恐攻頻傳的原由,是自持
正義雙方或多方拉扯翻臉的後果,
原因無它,就在"人間有鬼因利謀",
促成"天堂地獄果瞬轉",幸虧有著
數十幾億個的"家",仍然守分往前,
才有當下幸褔與悲慘的對比。
權力的掌握絕不該是使命的化身,
元首位尊更該面對自己,為這億萬
數計的家負責,今日科技昌盛訊息
光速遍傳全球的實況,個人的惡決
必然立刻成為眾矢之的,豬羊色變
天堂一夜翻轉成地獄 使命 作邃呀。
「The head of state can not be kidnapped by the mission」
The history of mankind is uninterrupted, so
Mr. Sun Wen established the Republic of China is indeed
Mr. Chiang kai-shek continued, but defeated but by
All the people of the hand to move forward, has reached
The people's livelihood, the supremacy of civil rights,
The reasons for the spread of fear of war everywhere is self-sustaining
Justice or both sides pull the consequences of turning the face,
Reason no it, in the "human ghosts for profit",
Contributed to "heaven hell guilty turn", thanks to have
Dozens of hundreds of millions of "home", still keep points forward,
Only the current Fortune and tragic contrast.
The power of the master should never be the embodiment of the mission,
Yuan first respect for the face of their own, for this hundreds of millions
Count the number of home is responsible for today's technology prosperity message
The speed of light spread throughout the world live, personal evil
Must immediately become the target of the public, pig sheep color change
Paradise turned into a hell mission overnight.
再創偉大地球
世界之最,唯美獨有,晝夜皆然,
瞬息即變,抬頭可得,皓瀚無垠,
燦爛自在,循環輪替,奇妙不窮,
玄奧於焉,永續宇宙,緲看地球,
回顧歷史,人類愚昧,始終對立,
強權運謀,重演爭戰,寡分利益,
現實短視,棄惡從善,牽手合作,
助弱扶困,同享家園,時光恆進,
天下為家,地球一國,宇宙共識。
雲端
大數據
人工智能
地球腦引領世界潮流
平等，自由，人權
再創偉大的地球
The world's most beautiful, unique day and night,
Instantaneous change, the rise available, Hao Han boundless,
Brilliant, endless rotation, wonderful endless,
Mysterious in Yan, perpetual universe, indistinct to see the earth,
Looking back at history, human ignorance, always antagonistic,
Power fortune, repeat the war, oligopoly,
Reality short-sighted, abandoned evil from good, hand cooperation,
Help weak help, enjoy their homes, time Hengjin,
The world for the home, the Earth a country, the universe consensus.
Could
Big Data
Artificial wisdom
Earth brain leads the world trend
Equality, freedom, human rights
Make another great earth
2017年9月26日 星期二
再創偉大地球
再創偉大地球
人人皆地球雷神,事必關忽已回應,
宇宙共識地球國,遙遠艱難步步行,
親離慘痛憶猶新,領袖之尊忌獨唯,
莫待毀滅戰第三,悔不止念恨當初,
美中俄牽手團結,凡人引首盡盼之,
文明科技遍穹蒼,平等和樂皓瀚嚮,
眾志成城在乎已,點指分享必呼應,
一二四八等比傳,網路指傳撼於心,
領袖取捨易認同,人人皆愛地球國。
Create great earth
Everyone earth thunder and lightning, things must have been responded,
Universe consensus Earth country, far hard to walk,
Looking back from the tragic memories,
Mo to be destroyed in the third war, regret not read the original,
The United States and China hand in hand, mortals lead the best,
Civilized technology across the sky, equality and music Hao Han to,
Surmounted, the point of sharing will echo,
One hundred twenty-eight ratio Biography, the network refers to the shock in the heart,
Leaders are easy to agree, everyone loves the earth.
人人皆地球雷神,事必關忽已回應,
宇宙共識地球國,遙遠艱難步步行,
親離慘痛憶猶新,領袖之尊忌獨唯,
莫待毀滅戰第三,悔不止念恨當初,
美中俄牽手團結,凡人引首盡盼之,
文明科技遍穹蒼,平等和樂皓瀚嚮,
眾志成城在乎已,點指分享必呼應,
一二四八等比傳,網路指傳撼於心,
領袖取捨易認同,人人皆愛地球國。
Create great earth
Everyone earth thunder and lightning, things must have been responded,
Universe consensus Earth country, far hard to walk,
Looking back from the tragic memories,
Mo to be destroyed in the third war, regret not read the original,
The United States and China hand in hand, mortals lead the best,
Civilized technology across the sky, equality and music Hao Han to,
Surmounted, the point of sharing will echo,
One hundred twenty-eight ratio Biography, the network refers to the shock in the heart,
Leaders are easy to agree, everyone loves the earth.
敬致 國軍英雄
颶雨倒不歇,驚雷突爆響,
臨堐路險生,猶如水掃颱,
車擁馬攏洗,各地顫成災,
靜待稍緩際,觀巡耐了天,
幸有當役擔,除盡難污扛,
未聞曾怨言,感恩致國軍。
Hurricane did not break,
Lin Lu Road insurance,
like a water sweep,
Car horses horses washed away,
all tremble disaster,
Wait for a little slow,
patronize the days,
Fortunately,
the official bear,
in addition to difficult to carry pollution,
Did not smell Chen resistance,
thanks to the army.
生命無區別全都 向前走
收拾煩憂整包悲觀丟入垃圾筒
抬起頭來刻正樂觀自信向前走
面對錯失反醒己過改正繼續行
踏實勤勞惜福好施沒事難得倒
Clean up the whole package pessimistic into the trash
Looked up and confidently forward
In the face of the loss of anti-awakening has been reformed forward
Be diligent and diligent to make a fortune
人無悲觀的權利,刻正樂觀是義務。
禽獸才有悲觀的權利,被眷養的禽獸樂出來是受寵,隨時處在被宰是義務,猴群蟻眾,植物昆蟲,微生物細菌等,,,則是自成一家,因為它們少有食用價值,猴群獨特就因為太像人的緣故,蚊子是惱人無人受益的群族,蔬果則是受人喜愛的群族,鑽石人人愛的石頭竟被視同生命。
所有生命最公平的原本只是向前走,且光陰長短任誰也改變不了恆進,固守原本是必要的至少,排除悲觀刻正樂觀就贏在起跑點了。
People have no pessimistic right, positive optimism is obligation.
Beasts have pessimistic rights, was nurtured animals and animals come out is favored, at any time in the slaughter is the obligation, Monkey group ant, plant insects, microbial bacteria, etc,,,
It is self-contained, because they have little food value, monkey group because it is too much because of people's sake,
Mosquitoes are annoying people who benefit from the group, fruits and vegetables are loved by the group, diamond people love the stone was actually regarded as life.
All the life of the most fair is just to move forward, And the length of any person who can not change Hengjin, stick to the original is necessary at least, to exclude pessimism is optimistic about the win at the starting point.
事實
台灣榮耀的事實
很有趣的觀點：
中國大陸邦交國172個；
台灣邦交國20個。
大陸免簽證的國家20幾個；
台灣免簽證的國家164個。
邦交是官方，
免簽是人民。
結論：
大陸領導哪都能去，
老百姓哪都去不了。
台灣總統哪都去不了，
但老百姓哪都能去。
The glorious facts of Taiwan
Very interesting point of view:
172 countries in China,
Taiwan diplomatic relations 20.
Mainland visa-free country 20 several;
Taiwan visa-free countries 164.
Confessions are official,
free of charge is the people.
Conclusion:
mainland leaders which can go,
People who can not go.
Taiwanese president can not go,
But the people who can go.
心靈念知定
要事有嚮就
夢想刻成真
好時光蒞臨
Mind read
There is something to be
Dream engraved
很有趣的觀點：
中國大陸邦交國172個；
台灣邦交國20個。
大陸免簽證的國家20幾個；
台灣免簽證的國家164個。
邦交是官方，
免簽是人民。
結論：
大陸領導哪都能去，
老百姓哪都去不了。
台灣總統哪都去不了，
但老百姓哪都能去。
The glorious facts of Taiwan
Very interesting point of view:
172 countries in China,
Taiwan diplomatic relations 20.
Mainland visa-free country 20 several;
Taiwan visa-free countries 164.
Confessions are official,
free of charge is the people.
Conclusion:
mainland leaders which can go,
People who can not go.
Taiwanese president can not go,
But the people who can go.
心靈念知定
要事有嚮就
夢想刻成真
好時光蒞臨
Mind read
There is something to be
Dream engraved
Good time to come
為台灣發聲
正義典範定行改革
正念於心寫做定,
義言陳抗平和行,
典故因果省思改,
範為留芳匡成革。
點指呼應事關己,一二四八等比達,
現在不出聲抗議,各國不知該幫忙,
李明哲 被失蹤, W H A再被強壓,
樣樣要侵門踏戶,事事都嚴詞武嚇,
今日多一人相挺,明日多一國出聲,
二百多國陸續援,60億人早晚皆知。
Mind is written in the heart,
Righteousness,
Allusions causal province thinking,
Fan for the Fang Fang frame leather.
Point refers to the matter of concern, one hundred twenty-eight equal,
Now silent protest, countries do not know the help,
Li Mingzhe was missing, W H A was again forced,
Everything to invade the door step, everything is sternly frightened,
Today, more than one person quite, tomorrow, a country out loud,
More than 200 countries continued to aid, 6 billion people sooner or later known.
2017年9月25日 星期一
易算盤免費授權 各國教育部
易算盤免費授權各國教育部採用 :
一維吾思點入定,步出鉛垂線水平,
一人獨坐面窗台,腳尖雙五股前後,
印藏識顯軸成書,教育上進貴自發,
解決事情靠方法,正確處制在邏輯,
沙盤推演存數理,手腦並用真正懂,
手心手背樣樣行,盤算算盤點點通,
得心應手念知定,生命原本只來去,
歸零踏實向前走,珍寶傳家易算盤。
Earthabacus the discretion of the Ministry of Education adopted :
One dimension I think into the set,
Step out of the vertical line level,
One person sitting alone on the windowsill,
Toe double five shares before and after,
Indian record possession of a book,
Education into your spontaneous,
Solve things by means,
Correctly in the logic,
Sand table deduction count,
Hand and brain and really understand,
Hands hand back like,
Calculate the countdown,
Be determined to know,
Life was only coming and going,
Original go back and forth,
一維吾思點入定,步出鉛垂線水平,
一人獨坐面窗台,腳尖雙五股前後,
印藏識顯軸成書,教育上進貴自發,
解決事情靠方法,正確處制在邏輯,
沙盤推演存數理,手腦並用真正懂,
手心手背樣樣行,盤算算盤點點通,
得心應手念知定,生命原本只來去,
歸零踏實向前走,珍寶傳家易算盤。
Earthabacus the discretion of the Ministry of Education adopted :
One dimension I think into the set,
Step out of the vertical line level,
One person sitting alone on the windowsill,
Toe double five shares before and after,
Indian record possession of a book,
Education into your spontaneous,
Solve things by means,
Correctly in the logic,
Sand table deduction count,
Hand and brain and really understand,
Hands hand back like,
Calculate the countdown,
Be determined to know,
Life was only coming and going,
Original go back and forth,
Treasures are easy to calculate.
教育百年大計
數學即數的學問,
數有原本,開物成務,
控帶四時,經緯三才,
教育宗旨:
手腦並用終身受益,
令學子主動上進求知。
Mathematics is the number of knowledge,
the number of the original, open things into service,
control with four latitude and longitude three,
education is the purpose of the brain and life-long benefit,
so that students take the initiative go up to know.
反思原本是 腦海必然的 念
生命只來去 踏實向前走 定
Reflection is the mind is the inevitable read
Life only come and go to step forward
盤算研昇創意
新創來自原本
的工具易算盤
To create ideas
Creativity from the original
tool earthabacus
abacus292.WordPress.com
數有原本,開物成務,
控帶四時,經緯三才,
教育宗旨:
手腦並用終身受益,
令學子主動上進求知。
Mathematics is the number of knowledge,
the number of the original, open things into service,
control with four latitude and longitude three,
education is the purpose of the brain and life-long benefit,
so that students take the initiative go up to know.
反思原本是 腦海必然的 念
生命只來去 踏實向前走 定
Reflection is the mind is the inevitable read
Life only come and go to step forward
盤算研昇創意
新創來自原本
的工具易算盤
To create ideas
Creativity from the original
tool earthabacus
abacus292.WordPress.com
2017年9月24日 星期日
原本的巧妙
算盤是獨一無二最最棒的數學教具,
代數幾何數論延伸定理邏輯證巧妙,
眼看手動專注勤演手腦並用解原本,
控帶四時經緯三才自然推進物成務,
識者精熟致富世紀三十無盡寶家傳。
The abacus is the most unique and best mathematics teaching aids,
Algebraic geometry of numbers extends Theorem clever logic card,
Seeing the manual focus frequently played hands and brain original solution,
Control with natural seasons Jingwei Mio propellant into service,
Those who know the endless treasure mastery Century wealth of thirty well-known.
❶算盤的歸零是自然法則。
一段的算盤:
算珠往下,往上都歸零。
例如每檔十珠的十檔百珠俄羅斯算盤,歸零後就是11進位制算盤。
這時你我面對著面,我往前,你往前,
開始撥珠對打,所以任何算盤,
歸零後就是對打算盤。
算盤的代數式11=10 +1,
「+1」就是「加上0」這個數碼,
因此任何(一段盤)算盤的代數式,
進位值 = 珠數 +1 (一段盤),
E = A +1,
E是進位值,A是每檔珠數,
所以每檔珠數1個,則1 +1=2,
它是二進制算盤。
而每檔珠數4個,則4 +1=5,是五進制算盤,例如上一下四的日本算盤,
上段是二進制盤,下段是五進制盤。
∵A=0 即無珠盤, ∴A≧1 則 E≧2,
E = A +1 堪稱 代數基本式
❷基本代數式
一段算盤:
珠數 +1 = 進位值,
A +1 = E
二段算盤:
(珠數+1)×(珠數+1) = 進位值,
(A+1)× (B+1) = E
三段算盤:
(A+1)×(B+1)×(C+1) = E
四段算盤:
(A+1)×(B+1)×(C+1)×(D+1)=E
依此類推，沒有上限，，，
圖示 : 易算盤順反雙向歸零盤面。
由上而下四段,每段各有1,2,3,4珠數,
(1+1)×(2+1)×(3+1)×(4+1)=120
各段1,2,3,4珠數，各當1,2,6,24值,
1×1+2×2+6×3+24×4=119
”滿檔數119” 所以是 ”120進位”,
若此盤要對打則另一方是,
段4,3,2,1珠數，各當1,5,20,60值
1×4+5×3+20×2+60×1=119
❸ 圖示的進位分別是由上往下
一段盤的2、3、4、5進位制。
上二段盤6進位制,(1+1)×(2+1)=6,
中二段12進位制,(2+1)×(3+1)=12,
下二段4×5是20進數,
上三段2×3×4=24進數,
下三段3×4×5=60進數,
全盤2×3×4×5=120進數,
任何算盤歸零後都是對打盤,
正方、反方都是「向前走」,
它的哲理啟發了「生命意義」。
Calculate the return of the abacus is the law of nature.
An abacus:
Bead down, go up to zero.
For example, each file ten beads of ten pieces of 100 beads of Russian abacus,
after zero is 11 carry plate.
Then you and I face the face, I move forward, you forward,
Began to beat the bead, so any abacus,
After the zero is on the plan.
Abacus 11 = 10 +1,
"+1" is "plus 0" this number,
So any (a disk) abacus algebra,
Carry value = beads number +1 (a disk),
E = A +1,
E is the carry value, A is the number of stakes per stall,
So each stall number 1, then 1 + 1 = 2,
It is a binary abacus.
And each stall number 4, then 4 +1 = 5, is the pentad abacus, for example,
on the next four Japanese abacus,
The upper section is a binary disk and the lower section is a pentad disk.
∵ A = 0 that is no bead, ∴ A ≧ 1 E ≧ 2,
E = A +1 is called algebraic basic
❷ basic algebra
An abacus:
Beads number +1 = carry value,
A +1 = E
Two abacus:
(Bead number +1) × (bead number +1) = carry value,
(A + 1) × (B + 1) = E
Three abacus:
(A + 1) × (B + 1) × (C + 1) = E
Four abacus:
(A + 1) × (B + 1) × (C + 1) × (D + 1) = E
And so on, no upper limit ,,,
Illustration: easy to calculate the disk back and forth two-way zero disk.
From top to bottom four, each paragraph has 1,2,3,4 beads,
(1 + 1) × (2 + 1) × (3 + 1) × (4 + 1) = 120
Each paragraph 1,2,3,4 beads, each of the 1,2,6,24 value,
1 × 1 + 2 × 2 + 6 × 3 + 24 × 4 = 119
"Full number 119" so it is "120 carry"
If this dish is to fight the other side is,
Section 4,3,2,1 beads, each of the 1,5,20,60 value
1 × 4 + 5 × 3 + 20 × 2 + 60 × 1 = 119
❸ icon of the carry, respectively, from top to bottom
A disk of 2,3,4,5 carry system.
(1 + 1) × (2 + 1) = 6,
(2 + 1) × (3 + 1) = 12,
The next two paragraphs 4 × 5 is 20 into the number,
The upper three paragraphs 2 × 3 × 4 = 24 into the number,
The next three paragraphs 3 × 4 × 5 = 60 into the number,
The whole 2 × 3 × 4 × 5 = 120 into the number,
Any abacus is zero after the hit,
Square, anti-side are "forward"
Its philosophy inspired "life meaning".
The following are the same as the "
代數幾何數論延伸定理邏輯證巧妙,
眼看手動專注勤演手腦並用解原本,
控帶四時經緯三才自然推進物成務,
識者精熟致富世紀三十無盡寶家傳。
The abacus is the most unique and best mathematics teaching aids,
Algebraic geometry of numbers extends Theorem clever logic card,
Seeing the manual focus frequently played hands and brain original solution,
Control with natural seasons Jingwei Mio propellant into service,
Those who know the endless treasure mastery Century wealth of thirty well-known.
❶算盤的歸零是自然法則。
一段的算盤:
算珠往下,往上都歸零。
例如每檔十珠的十檔百珠俄羅斯算盤,歸零後就是11進位制算盤。
這時你我面對著面,我往前,你往前,
開始撥珠對打,所以任何算盤,
歸零後就是對打算盤。
算盤的代數式11=10 +1,
「+1」就是「加上0」這個數碼,
因此任何(一段盤)算盤的代數式,
進位值 = 珠數 +1 (一段盤),
E = A +1,
E是進位值,A是每檔珠數,
所以每檔珠數1個,則1 +1=2,
它是二進制算盤。
而每檔珠數4個,則4 +1=5,是五進制算盤,例如上一下四的日本算盤,
上段是二進制盤,下段是五進制盤。
∵A=0 即無珠盤, ∴A≧1 則 E≧2,
E = A +1 堪稱 代數基本式
❷基本代數式
一段算盤:
珠數 +1 = 進位值,
A +1 = E
二段算盤:
(珠數+1)×(珠數+1) = 進位值,
(A+1)× (B+1) = E
三段算盤:
(A+1)×(B+1)×(C+1) = E
四段算盤:
(A+1)×(B+1)×(C+1)×(D+1)=E
依此類推，沒有上限，，，
圖示 : 易算盤順反雙向歸零盤面。
由上而下四段,每段各有1,2,3,4珠數,
(1+1)×(2+1)×(3+1)×(4+1)=120
各段1,2,3,4珠數，各當1,2,6,24值,
1×1+2×2+6×3+24×4=119
”滿檔數119” 所以是 ”120進位”,
若此盤要對打則另一方是,
段4,3,2,1珠數，各當1,5,20,60值
1×4+5×3+20×2+60×1=119
❸ 圖示的進位分別是由上往下
一段盤的2、3、4、5進位制。
上二段盤6進位制,(1+1)×(2+1)=6,
中二段12進位制,(2+1)×(3+1)=12,
下二段4×5是20進數,
上三段2×3×4=24進數,
下三段3×4×5=60進數,
全盤2×3×4×5=120進數,
任何算盤歸零後都是對打盤,
正方、反方都是「向前走」,
它的哲理啟發了「生命意義」。
Calculate the return of the abacus is the law of nature.
An abacus:
Bead down, go up to zero.
For example, each file ten beads of ten pieces of 100 beads of Russian abacus,
after zero is 11 carry plate.
Then you and I face the face, I move forward, you forward,
Began to beat the bead, so any abacus,
After the zero is on the plan.
Abacus 11 = 10 +1,
"+1" is "plus 0" this number,
So any (a disk) abacus algebra,
Carry value = beads number +1 (a disk),
E = A +1,
E is the carry value, A is the number of stakes per stall,
So each stall number 1, then 1 + 1 = 2,
It is a binary abacus.
And each stall number 4, then 4 +1 = 5, is the pentad abacus, for example,
on the next four Japanese abacus,
The upper section is a binary disk and the lower section is a pentad disk.
∵ A = 0 that is no bead, ∴ A ≧ 1 E ≧ 2,
E = A +1 is called algebraic basic
❷ basic algebra
An abacus:
Beads number +1 = carry value,
A +1 = E
Two abacus:
(Bead number +1) × (bead number +1) = carry value,
(A + 1) × (B + 1) = E
Three abacus:
(A + 1) × (B + 1) × (C + 1) = E
Four abacus:
(A + 1) × (B + 1) × (C + 1) × (D + 1) = E
And so on, no upper limit ,,,
Illustration: easy to calculate the disk back and forth two-way zero disk.
From top to bottom four, each paragraph has 1,2,3,4 beads,
(1 + 1) × (2 + 1) × (3 + 1) × (4 + 1) = 120
Each paragraph 1,2,3,4 beads, each of the 1,2,6,24 value,
1 × 1 + 2 × 2 + 6 × 3 + 24 × 4 = 119
"Full number 119" so it is "120 carry"
If this dish is to fight the other side is,
Section 4,3,2,1 beads, each of the 1,5,20,60 value
1 × 4 + 5 × 3 + 20 × 2 + 60 × 1 = 119
❸ icon of the carry, respectively, from top to bottom
A disk of 2,3,4,5 carry system.
(1 + 1) × (2 + 1) = 6,
(2 + 1) × (3 + 1) = 12,
The next two paragraphs 4 × 5 is 20 into the number,
The upper three paragraphs 2 × 3 × 4 = 24 into the number,
The next three paragraphs 3 × 4 × 5 = 60 into the number,
The whole 2 × 3 × 4 × 5 = 120 into the number,
Any abacus is zero after the hit,
Square, anti-side are "forward"
Its philosophy inspired "life meaning".
The following are the same as the "
2017年9月23日 星期六
原本即自然
『原本相通究自然』
E = A +1 算式說故事
⑴數有原本
整數一個一數,連續數 +1 即加法
E : 後項 A : 前項
⑵代數原本
算盤代數基本式
E : 進位數 , A : 珠數 , A ≧ 1
⑶幾何原本
二點成一線段
E : 點數 , A : 線段數 , E ≧ 2
⑷標地數 = 間隔數 +1
E : 標地數 , A : 間隔數
直線非封閉排列代數式 E = A +1
如數線上等距點數與間隔數
⑸幾何圖形的終點必回到起點
頂點數等於邊數的封閉排列圖形
E = A 幾何圖形代數式
E : 頂點數 , A : 邊數 , E≧3
⑹∵ E =A +1 , E -1 =A , ∴ -1 =A -E
倒數是依續 -1 即減法
⑺E = A +1 , E後項 , A前項
0,1,2,3,4,5,6,7,8,9 ,,,
整數一個一數
連續整數的代數基本式
∵E = A +1連續數∴E - 1 = A 倒數
⑻一段算盤的代數式
E = A +1 , E進位數,A各檔珠數
二段算盤, E進位數,AB各檔珠數
E = (A+1)×(B+1)
三段 , E進位值 , ABC各檔珠數
E = (A+1)×(B+1)×(C+1)
四段 , E進位數,ABCD各檔珠數
E = (A+1)×(B+1)×(C+1)×(D+1)
算盤 段數≧1, 檔數≧1, 珠數≧1
⑼連續整數自首A數至末E有N個
A , A+1 , A+2 , A+3 , , , E
E > A , N = E - A +1
個數 = (大 - 小) ÷1 +1
2 個一數自 A 數至 E 有N個
A , A+2 , A+4 , A+6 , , , E
N = (E - A) ÷2 +1
3 個一數自 A 數至 E 有N個
A , A+3 , A+6 , A+9 , , , E
N = (E - A) ÷3 +1
d 個一數自 A 數至 E 有N個
A , A+d , A+2d , A+3d , , , E
N = (E - A) ÷d +1
等差數列的差數d,即 d 個一數
個數 = (末數 - 首數) ÷差數 + 1
末數 = (個數 - 1 ) ×差數 +首數
∵ N = (E - A) ÷d +1
∴ (N - 1) ×d +A = E
移項原理如同 : 一步一腳印
歸零 : 手撥珠,眼看,腦推證演
⑽三角形底邊異於兩端點,補上 N
個點後,形成幾個不同的三角形？
形成 1+2+3+…+(N+1) 個三角形
總和=(N+1+1)×(N+1)÷2
=(N+1)×(N+2)÷2
=(N²+3N+2)÷2
☆『原本相通究自然』
原本的數有,代數,幾何皆相通
"The original nature of nature"
E = A + 1 formula
⑴ number of original
Integer a number, continuous number +1 or addition
E: Item A: The preceding paragraph
⑵ algebra original
Abacus Algebra Basic
E: carry, A: beads, A ≧ 1
⑶ geometric original
Two points into a line
E: number of points, A: number of lines, E ≧ 2
⑷ Landmark number = number of intervals +1
E: Number of places, A: number of intervals
Linear non - closed algebraic E = A +1
Such as the number of equidistant points on the line and the number of intervals
⑸ the end of the geometry will return to the starting point
A closed array of vertices equal to the number of edges
E = A Geometric Algebra
E: vertex number, A: edge number, E ≧ 3
⑹ ∵ E = A +1, E -1 = A, ∴ -1 = A -E
The reciprocal is continued by -1 or subtraction
⑺E = A +1, E after the item, A before the item
0,1,2,3,4,5,6,7,8,9 ,,,
The integer is one by one
The Algebraic Basic of Continuous Integer
∵E = A +1 continuous number ∴E - 1 = A reciprocal
⑻ an almanac of arithmetic
E = A +1, E carry digits, A number of stalls
Two abacus, E carry the number of, AB the number of stalls
E = (A + 1) × (B + 1)
Three paragraphs, E carry value, ABC file number of beads
E = (A + 1) × (B + 1) × (C + 1)
Four, E carry the number of ABCD file number
E = (A + 1) × (B + 1) × (C + 1) × (D + 1)
Abacus number ≧ 1, the number of stalls ≧ 1, beads ≧ 1
⑼ continuous integer surrendered A number to the end of E have N
A, A + 1, A + 2, A + 3,,, E
E> A, N = E - A +1
Number = (large - small) ÷ 1 +1
2 number from A number to E have N number
A, A + 2, A + 4, A + 6,,, E
N = (E - A) ÷ 2 +1
3 number from A number to E have N number
A, A + 3, A + 6, A + 9,
N = (E - A) ÷ 3 + 1
D number from A number to E have N number
A, A + d, A + 2d, A + 3d,
N = (E - A) ÷ d +1
The difference d of the difference series is the number of d
Number = (the last number - the first number) ÷ difference + 1
The last number = (number - 1) × difference number + first number
∵ N = (E - A) ÷ d +1
∴ (N - 1) × d + A = E
Shift the principle as follows: step by step
Return to zero: hand dial beads, seeing, brain push show
⑽ triangular bottom edge is different from the two ends, make up N
After a few points, form a few different triangles
Form 1 + 2 + 3 + ... + (N + 1) triangles
Sum = (N + 1 + 1) × (N + 1) ÷ 2
= (N + 1) × (N + 2) ÷ 2
= (N² + 3N + 2) ÷ 2
☆ "the original nature of nature"
The original number of algebra, geometry are interlinked
E = A +1 算式說故事
⑴數有原本
整數一個一數,連續數 +1 即加法
E : 後項 A : 前項
⑵代數原本
算盤代數基本式
E : 進位數 , A : 珠數 , A ≧ 1
⑶幾何原本
二點成一線段
E : 點數 , A : 線段數 , E ≧ 2
⑷標地數 = 間隔數 +1
E : 標地數 , A : 間隔數
直線非封閉排列代數式 E = A +1
如數線上等距點數與間隔數
⑸幾何圖形的終點必回到起點
頂點數等於邊數的封閉排列圖形
E = A 幾何圖形代數式
E : 頂點數 , A : 邊數 , E≧3
⑹∵ E =A +1 , E -1 =A , ∴ -1 =A -E
倒數是依續 -1 即減法
⑺E = A +1 , E後項 , A前項
0,1,2,3,4,5,6,7,8,9 ,,,
整數一個一數
連續整數的代數基本式
∵E = A +1連續數∴E - 1 = A 倒數
⑻一段算盤的代數式
E = A +1 , E進位數,A各檔珠數
二段算盤, E進位數,AB各檔珠數
E = (A+1)×(B+1)
三段 , E進位值 , ABC各檔珠數
E = (A+1)×(B+1)×(C+1)
四段 , E進位數,ABCD各檔珠數
E = (A+1)×(B+1)×(C+1)×(D+1)
算盤 段數≧1, 檔數≧1, 珠數≧1
⑼連續整數自首A數至末E有N個
A , A+1 , A+2 , A+3 , , , E
E > A , N = E - A +1
個數 = (大 - 小) ÷1 +1
2 個一數自 A 數至 E 有N個
A , A+2 , A+4 , A+6 , , , E
N = (E - A) ÷2 +1
3 個一數自 A 數至 E 有N個
A , A+3 , A+6 , A+9 , , , E
N = (E - A) ÷3 +1
d 個一數自 A 數至 E 有N個
A , A+d , A+2d , A+3d , , , E
N = (E - A) ÷d +1
等差數列的差數d,即 d 個一數
個數 = (末數 - 首數) ÷差數 + 1
末數 = (個數 - 1 ) ×差數 +首數
∵ N = (E - A) ÷d +1
∴ (N - 1) ×d +A = E
移項原理如同 : 一步一腳印
歸零 : 手撥珠,眼看,腦推證演
⑽三角形底邊異於兩端點,補上 N
個點後,形成幾個不同的三角形？
形成 1+2+3+…+(N+1) 個三角形
總和=(N+1+1)×(N+1)÷2
=(N+1)×(N+2)÷2
=(N²+3N+2)÷2
☆『原本相通究自然』
原本的數有,代數,幾何皆相通
"The original nature of nature"
E = A + 1 formula
⑴ number of original
Integer a number, continuous number +1 or addition
E: Item A: The preceding paragraph
⑵ algebra original
Abacus Algebra Basic
E: carry, A: beads, A ≧ 1
⑶ geometric original
Two points into a line
E: number of points, A: number of lines, E ≧ 2
⑷ Landmark number = number of intervals +1
E: Number of places, A: number of intervals
Linear non - closed algebraic E = A +1
Such as the number of equidistant points on the line and the number of intervals
⑸ the end of the geometry will return to the starting point
A closed array of vertices equal to the number of edges
E = A Geometric Algebra
E: vertex number, A: edge number, E ≧ 3
⑹ ∵ E = A +1, E -1 = A, ∴ -1 = A -E
The reciprocal is continued by -1 or subtraction
⑺E = A +1, E after the item, A before the item
0,1,2,3,4,5,6,7,8,9 ,,,
The integer is one by one
The Algebraic Basic of Continuous Integer
∵E = A +1 continuous number ∴E - 1 = A reciprocal
⑻ an almanac of arithmetic
E = A +1, E carry digits, A number of stalls
Two abacus, E carry the number of, AB the number of stalls
E = (A + 1) × (B + 1)
Three paragraphs, E carry value, ABC file number of beads
E = (A + 1) × (B + 1) × (C + 1)
Four, E carry the number of ABCD file number
E = (A + 1) × (B + 1) × (C + 1) × (D + 1)
Abacus number ≧ 1, the number of stalls ≧ 1, beads ≧ 1
⑼ continuous integer surrendered A number to the end of E have N
A, A + 1, A + 2, A + 3,,, E
E> A, N = E - A +1
Number = (large - small) ÷ 1 +1
2 number from A number to E have N number
A, A + 2, A + 4, A + 6,,, E
N = (E - A) ÷ 2 +1
3 number from A number to E have N number
A, A + 3, A + 6, A + 9,
N = (E - A) ÷ 3 + 1
D number from A number to E have N number
A, A + d, A + 2d, A + 3d,
N = (E - A) ÷ d +1
The difference d of the difference series is the number of d
Number = (the last number - the first number) ÷ difference + 1
The last number = (number - 1) × difference number + first number
∵ N = (E - A) ÷ d +1
∴ (N - 1) × d + A = E
Shift the principle as follows: step by step
Return to zero: hand dial beads, seeing, brain push show
⑽ triangular bottom edge is different from the two ends, make up N
After a few points, form a few different triangles
Form 1 + 2 + 3 + ... + (N + 1) triangles
Sum = (N + 1 + 1) × (N + 1) ÷ 2
= (N + 1) × (N + 2) ÷ 2
= (N² + 3N + 2) ÷ 2
☆ "the original nature of nature"
The original number of algebra, geometry are interlinked
2017年9月22日 星期五
教學指標(1)
易算盤教數學 教學指標
(1)自然法則即原本
算盤歸零如同水往低處流的原本,
重力使上翻往下,下翻往上皆歸零,
0 1 2 3 4 5 6 7 8 9 連續數是加法,
9 8 7 6 5 4 3 2 1 0 倒數就是減法,
加減相反,即 + - 互逆,
加往上則減往下,加往下則減往上,
充分且必要,展現原本即自然。
如圖:九珠十進算盤的二種歸零法,
面對面的對打教學盤。
Computing math
Mathematics Teaching Index
(1) the natural law that the original
Abacus as water to the low flow of the original,
Gravity to turn down,
the next turn up to zero,
0 1 2 3 4 5 6 7 8 9
Continuous number is added,
9 8 7 6 5 4 3 2 1 0
The countdown is subtraction,
Addition and subtraction is the opposite, that is,
+ - Plus the next is reduced down,
plus the next is reduced to the last,
Full and necessary,
to show the original natural.
Figure: nine beads decathlon two zero method,
Face-to-face teaching.
(1)自然法則即原本
算盤歸零如同水往低處流的原本,
重力使上翻往下,下翻往上皆歸零,
0 1 2 3 4 5 6 7 8 9 連續數是加法,
9 8 7 6 5 4 3 2 1 0 倒數就是減法,
加減相反,即 + - 互逆,
加往上則減往下,加往下則減往上,
充分且必要,展現原本即自然。
如圖:九珠十進算盤的二種歸零法,
面對面的對打教學盤。
Computing math
Mathematics Teaching Index
(1) the natural law that the original
Abacus as water to the low flow of the original,
Gravity to turn down,
the next turn up to zero,
0 1 2 3 4 5 6 7 8 9
Continuous number is added,
9 8 7 6 5 4 3 2 1 0
The countdown is subtraction,
Addition and subtraction is the opposite, that is,
+ - Plus the next is reduced down,
plus the next is reduced to the last,
Full and necessary,
to show the original natural.
Figure: nine beads decathlon two zero method,
Face-to-face teaching.
教學指標(2)
(2)象形示數
寓教於樂親子對打,
數學就是這麼簡單,
生命哲理原本啟發,
悟理解盤算易算盤。
■ 1 , ■■ 2 , ■■■ 3 , 4 , 5 ,...
☆1 , ☆☆2 , ☆☆☆3 , 4 , 5 ,...
算盤構造
取長方形或正方形的幾何對稱性,
圓柱串珠可上可下歸零就是開始,
橫樑分段完成整數特性原理延伸,
任何進位制原理與四則運算相通,
含概所有整數分數小數自然展現,
位數位名位值手腦互動一目了然,
啟蒙教學小中高大案前必備工具。
(2) pictographs
Entertaining play with others,
Mathematics is so simple,
The philosophy of life was originally inspired,
Understand the calculation of easy to calculate disk.
■ 1, ■ ■ 2, ■■■ 3, 4, 5, ...
☆ 1, ☆ ☆ 2, ☆ ☆ ☆ 3, 4, 5, ...
Abacus construction
Take the geometric symmetry of the rectangle or square,
Cylindrical bead can be on the next zero is the beginning,
The crossbar segment completes the integer characteristic principle extension,
Any carry system principle and four operations connected,
Contains all the integer fraction fractional natural show,
Bit position bit value mind brain interaction at a glance,
Enlightenment teaching small and medium high before the necessary tools.
寓教於樂親子對打,
數學就是這麼簡單,
生命哲理原本啟發,
悟理解盤算易算盤。
■ 1 , ■■ 2 , ■■■ 3 , 4 , 5 ,...
☆1 , ☆☆2 , ☆☆☆3 , 4 , 5 ,...
算盤構造
取長方形或正方形的幾何對稱性,
圓柱串珠可上可下歸零就是開始,
橫樑分段完成整數特性原理延伸,
任何進位制原理與四則運算相通,
含概所有整數分數小數自然展現,
位數位名位值手腦互動一目了然,
啟蒙教學小中高大案前必備工具。
(2) pictographs
Entertaining play with others,
Mathematics is so simple,
The philosophy of life was originally inspired,
Understand the calculation of easy to calculate disk.
■ 1, ■ ■ 2, ■■■ 3, 4, 5, ...
☆ 1, ☆ ☆ 2, ☆ ☆ ☆ 3, 4, 5, ...
Abacus construction
Take the geometric symmetry of the rectangle or square,
Cylindrical bead can be on the next zero is the beginning,
The crossbar segment completes the integer characteristic principle extension,
Any carry system principle and four operations connected,
Contains all the integer fraction fractional natural show,
Bit position bit value mind brain interaction at a glance,
Enlightenment teaching small and medium high before the necessary tools.
教學指標(3)
(3)四則運算
手撥眼及腦運算,專注盤算演邏輯,
一個一數曉自然,連加速得推乘法,
續減分完配成商,四則特性知原本,
算式呈現定律通,易位對打樂相長。
+ 1連續數 , -1倒數； + - 互逆
1+1+1 = 3 = 1 ×3 , 一有三個
2+2+2+2 = 8 = 2 ×4 , 二有四個
☆乘法是加法的速算法
4 ÷2 = 2 四顆糖平分,每人得二顆
4 -2 -2 =0 四顆平分減二減二分完
☆除法是減法的速算法
∵4+3=7=3+4 ∴4×3=12=3×4
☆∵ 加減互逆 , ∴ 乘除互逆
☆加法適合交換律,乘法也是
∵7 -5=2 ≠ 5 -7 ∴7÷5 ≠ 5÷7
☆減法不適合交換律,除法也相同
☆盤算算盤演證數理邏輯通原本。
(3) four operations
Hand-dial and brain computing, focusing on computing logic,
A number of small nature, and even speed to push the law,
Continued to sub-sub-set into the business, the four characteristics of the original,
The formula is presented with the law.
+ 1 consecutive number, -1 reciprocal; + - reciprocal
1 + 1 + 1 = 3 = 1 × 3 , a three
2 + 2 + 2 + 2 = 8 = 2 × 4 , two have four
☆ multiplication is the addition of the speed algorithm
4 ÷ 2 = 2 four sugar equal, each person had two
4 -2 -2 = 0 four cents minus two minus two points finished
☆ division is the speed of the subtraction algorithm
∵ 4 + 3 = 7 = 3 + 4 ∴ 4 × 3 = 12 = 3 × 4
☆ ∵ addition and subtraction of each other, ∴ multiplied by the inverse
☆ Addition is suitable for exchange law, multiplication is also
∵7 -5 = 2 ≠ 5 -7 ∴ 7 ÷ 5 ≠ 5 ÷ 7
☆ subtraction is not suitable for exchange law, division is also the same
☆ calculate the operator count the logic of the original logic of the original.
手撥眼及腦運算,專注盤算演邏輯,
一個一數曉自然,連加速得推乘法,
續減分完配成商,四則特性知原本,
算式呈現定律通,易位對打樂相長。
+ 1連續數 , -1倒數； + - 互逆
1+1+1 = 3 = 1 ×3 , 一有三個
2+2+2+2 = 8 = 2 ×4 , 二有四個
☆乘法是加法的速算法
4 ÷2 = 2 四顆糖平分,每人得二顆
4 -2 -2 =0 四顆平分減二減二分完
☆除法是減法的速算法
∵4+3=7=3+4 ∴4×3=12=3×4
☆∵ 加減互逆 , ∴ 乘除互逆
☆加法適合交換律,乘法也是
∵7 -5=2 ≠ 5 -7 ∴7÷5 ≠ 5÷7
☆減法不適合交換律,除法也相同
☆盤算算盤演證數理邏輯通原本。
(3) four operations
Hand-dial and brain computing, focusing on computing logic,
A number of small nature, and even speed to push the law,
Continued to sub-sub-set into the business, the four characteristics of the original,
The formula is presented with the law.
+ 1 consecutive number, -1 reciprocal; + - reciprocal
1 + 1 + 1 = 3 = 1 × 3 , a three
2 + 2 + 2 + 2 = 8 = 2 × 4 , two have four
☆ multiplication is the addition of the speed algorithm
4 ÷ 2 = 2 four sugar equal, each person had two
4 -2 -2 = 0 four cents minus two minus two points finished
☆ division is the speed of the subtraction algorithm
∵ 4 + 3 = 7 = 3 + 4 ∴ 4 × 3 = 12 = 3 × 4
☆ ∵ addition and subtraction of each other, ∴ multiplied by the inverse
☆ Addition is suitable for exchange law, multiplication is also
∵7 -5 = 2 ≠ 5 -7 ∴ 7 ÷ 5 ≠ 5 ÷ 7
☆ subtraction is not suitable for exchange law, division is also the same
☆ calculate the operator count the logic of the original logic of the original.
(4)地球算盤通行無阻
⑷算盤無國界
易算盤數位分明計算簡單通行地球,
1500年前印度人發明阿拉伯數字,
0123456789,"十"進制 統一了地球,
每個位數都有 0~9 共 "十" 個數碼,,,
10=1+9, +9=+10-1, +1=+10-9
10=2+8, +8=+10-2, +2=+10-8
10=3+7, +7=+10-3, +3=+10-7
10=4+6, +6=+10-4, +4=+10-6
10=5+5, +5=+10-5,
-5=-10+5, -6=-10+4, -7=-10+3
-8=-10+2, -9=-10+1, -1=-10+9
-2=-10+8, -3=-10+7, -4=-10+6
口訣:各檔滿十, 進位加1及借位減1,
23+88=23+80 +10-2 =111
聚化速算 20+90 +3-2 =111
74-36=74 -30 -10+4=38
聚化速算 74 -40+4=38
51-19=51 -10 -10+1=32
聚化速算 51 -20+1=32
201- 112 = 101 - 12
速算 = 101 - 20 +8 = 89
每個位數方法相同,依此類推,,,
因為十進數各個位名都有十個數碼,
按九珠十進盤面 : 口訣就是"補十",
( 1,9 ),( 2,8 ),( 3,7 ),( 4,6 ),( 5,5 )。
⑷ abacus without borders
Easyabacus the number of clear calculation of the passage of the Earth,
1500 years ago the Indian invented the Arabic numerals,
0123456789, "ten" into the system unified the earth,
Each bit has 0 to 9 a total of "ten" digital ,,,
10 = 1 + 9, + 9 = + 10-1, + 1 = + 10-9
10 = 2 + 8, +8 = +10-2, +2 = +10-8
10 = 3 + 7, + 7 = + 10-3, +3 = +10-7
10 = 4 + 6, +6 = +10-4, +4 = +10-6
10 = 5 + 5, +5 = +10-5,
-5 = -10 + 5, -6 = -10 + 4, -7 = -10 + 3
-8 = -10 + 2, -9 = -10 + 1, -1 = -10 + 9
-2 = -10 +8, -3 = -10 +7, -4 = -10 + 6
formulas: the file full of ten, carry plus 1 and borrow by 1,
23 + 88 = 23 + 80 + 10-2 = 111
Aggregation speed calculation
20 +90 +3-2 = 111
74-36 = 74 -30 -10 + 4 = 38
Aggregation speed count
74 -40 + 4 = 38
51-19 = 51 -10 -10 + 1 = 32
Aggregation speed count
51-20 + 1 = 32
201 - 112 = 101 - 12
Express = 101 - 20 +8 = 89
Each bit of the same method, and so on, and so on ,,,
Because the decimal number of each bit name has ten digital,
According to nine beads into the disk: formula is "make up ten"
(1, 9), (2, 8), (3,7), (4,6), (5,5).
易算盤數位分明計算簡單通行地球,
1500年前印度人發明阿拉伯數字,
0123456789,"十"進制 統一了地球,
每個位數都有 0~9 共 "十" 個數碼,,,
10=1+9, +9=+10-1, +1=+10-9
10=2+8, +8=+10-2, +2=+10-8
10=3+7, +7=+10-3, +3=+10-7
10=4+6, +6=+10-4, +4=+10-6
10=5+5, +5=+10-5,
-5=-10+5, -6=-10+4, -7=-10+3
-8=-10+2, -9=-10+1, -1=-10+9
-2=-10+8, -3=-10+7, -4=-10+6
口訣:各檔滿十, 進位加1及借位減1,
23+88=23+80 +10-2 =111
聚化速算 20+90 +3-2 =111
74-36=74 -30 -10+4=38
聚化速算 74 -40+4=38
51-19=51 -10 -10+1=32
聚化速算 51 -20+1=32
201- 112 = 101 - 12
速算 = 101 - 20 +8 = 89
每個位數方法相同,依此類推,,,
因為十進數各個位名都有十個數碼,
按九珠十進盤面 : 口訣就是"補十",
( 1,9 ),( 2,8 ),( 3,7 ),( 4,6 ),( 5,5 )。
⑷ abacus without borders
Easyabacus the number of clear calculation of the passage of the Earth,
1500 years ago the Indian invented the Arabic numerals,
0123456789, "ten" into the system unified the earth,
Each bit has 0 to 9 a total of "ten" digital ,,,
10 = 1 + 9, + 9 = + 10-1, + 1 = + 10-9
10 = 2 + 8, +8 = +10-2, +2 = +10-8
10 = 3 + 7, + 7 = + 10-3, +3 = +10-7
10 = 4 + 6, +6 = +10-4, +4 = +10-6
10 = 5 + 5, +5 = +10-5,
-5 = -10 + 5, -6 = -10 + 4, -7 = -10 + 3
-8 = -10 + 2, -9 = -10 + 1, -1 = -10 + 9
-2 = -10 +8, -3 = -10 +7, -4 = -10 + 6
formulas: the file full of ten, carry plus 1 and borrow by 1,
23 + 88 = 23 + 80 + 10-2 = 111
Aggregation speed calculation
20 +90 +3-2 = 111
74-36 = 74 -30 -10 + 4 = 38
Aggregation speed count
74 -40 + 4 = 38
51-19 = 51 -10 -10 + 1 = 32
Aggregation speed count
51-20 + 1 = 32
201 - 112 = 101 - 12
Express = 101 - 20 +8 = 89
Each bit of the same method, and so on, and so on ,,,
Because the decimal number of each bit name has ten digital,
According to nine beads into the disk: formula is "make up ten"
(1, 9), (2, 8), (3,7), (4,6), (5,5).
(5)乘是加的速算
乘法 智慧的加法
Multiplication is the addition of wisdom
⑸乘法聚化速算
看算式手撥珠,盤面演證邏輯,
推論乘法九九,理解乘即累加,
連加倍乘相通,順暢快速運算。
1=1×1=1 一個1 , 1有一個
1+1=1×2=2 二個1 , 1有二個
2+2+2=2×3=6 三個2 , 2有三個
2+2+2+2=2×4=8 2有四個
按圖示方法練習九九乘法,
盤算推演二位數及 乘10 補 0 法,
依此類推 乘百 補 二個 0 ,,,,,
8 連加九次得 8× 9 = 72
5 連加六次得 5× 6 = 30
7 連加十次得 7×10 = 70
16連加20次得 16×20 = 320
29連加百次得 29×100= 2900
利用"算式"加減化聚作乘法運算
24×15 = (20+4)×15
= 20×15 + 4 ×15
= 300 + 60 = 360
= 24×(10+5)
= 24×10 + 5×24
= 240 + 120 = 360
38×29 = (40-2)×29
= 40×29 - 2×29
= 1160 - 58 = 1102
= 38×(30-1)
= 38×30 - 38×1
= 1140 - 38 =1102
⑸ multiplication polymerization speed calculation
See the dial hand dial,
disk show logic,
Inferred multiplication ninety-nine, to understand the cumulative,
Even doubled multiplication, smooth and fast operation.
1 = 1 × 1 = 1 a 1, 1 has one
1 + 1 = 1 × 2 = 2 two 1, 1 there are two
2 + 2 + 2 = 2 × 3 = 6 three 2, 2 have three
2 + 2 + 2 + 2 = 2 × 4 = 8 2 There are four
According to the illustrated method of practice ninety multiplication,
Calculate the deduction of two digits and multiplied by 10 to fill 0 method,
And so on by one hundred plus two 0 ,,,,,
8 plus nine times 8 × 9 = 72
5 plus six times 5 × 6 = 30
7 plus 10 times 7 × 10 = 70
16 plus 20 times 16 × 20 = 320
29 plus 100 times were 29 × 100 = 2900
Using the "formula" plus and minus multiplication multiplication
24 × 15 = (20 + 4) x 15
= 20 × 15 + 4 × 15
= 300 + 60 = 360
= 24 × (10 + 5)
= 24 × 10 + 5 × 24
= 240 + 120 = 360
38 × 29 = (40-2) × 29
= 40 × 29 - 2 × 29
= 1160 - 58 = 1102
= 38 × (30-1)
= 38 × 30 - 38 × 1
= 1140 - 38 = 1102
Multiplication is the addition of wisdom
⑸乘法聚化速算
看算式手撥珠,盤面演證邏輯,
推論乘法九九,理解乘即累加,
連加倍乘相通,順暢快速運算。
1=1×1=1 一個1 , 1有一個
1+1=1×2=2 二個1 , 1有二個
2+2+2=2×3=6 三個2 , 2有三個
2+2+2+2=2×4=8 2有四個
按圖示方法練習九九乘法,
盤算推演二位數及 乘10 補 0 法,
依此類推 乘百 補 二個 0 ,,,,,
8 連加九次得 8× 9 = 72
5 連加六次得 5× 6 = 30
7 連加十次得 7×10 = 70
16連加20次得 16×20 = 320
29連加百次得 29×100= 2900
利用"算式"加減化聚作乘法運算
24×15 = (20+4)×15
= 20×15 + 4 ×15
= 300 + 60 = 360
= 24×(10+5)
= 24×10 + 5×24
= 240 + 120 = 360
38×29 = (40-2)×29
= 40×29 - 2×29
= 1160 - 58 = 1102
= 38×(30-1)
= 38×30 - 38×1
= 1140 - 38 =1102
⑸ multiplication polymerization speed calculation
See the dial hand dial,
disk show logic,
Inferred multiplication ninety-nine, to understand the cumulative,
Even doubled multiplication, smooth and fast operation.
1 = 1 × 1 = 1 a 1, 1 has one
1 + 1 = 1 × 2 = 2 two 1, 1 there are two
2 + 2 + 2 = 2 × 3 = 6 three 2, 2 have three
2 + 2 + 2 + 2 = 2 × 4 = 8 2 There are four
According to the illustrated method of practice ninety multiplication,
Calculate the deduction of two digits and multiplied by 10 to fill 0 method,
And so on by one hundred plus two 0 ,,,,,
8 plus nine times 8 × 9 = 72
5 plus six times 5 × 6 = 30
7 plus 10 times 7 × 10 = 70
16 plus 20 times 16 × 20 = 320
29 plus 100 times were 29 × 100 = 2900
Using the "formula" plus and minus multiplication multiplication
24 × 15 = (20 + 4) x 15
= 20 × 15 + 4 × 15
= 300 + 60 = 360
= 24 × (10 + 5)
= 24 × 10 + 5 × 24
= 240 + 120 = 360
38 × 29 = (40-2) × 29
= 40 × 29 - 2 × 29
= 1160 - 58 = 1102
= 38 × (30-1)
= 38 × 30 - 38 × 1
= 1140 - 38 = 1102
教學指標(6)原本無礙
⑹ + - × ÷ 四則的原本
÷ 是 - 的速算法，與 × 相反,互逆
÷ × 互為逆運算，因 + - 是逆運算
+ ⇆ -
↯ ↯
× ⇆ ÷
四則原本通用於數學領域
數論代數幾何延伸全靠它
三大領域推演無限超智慧
16 + □ = 33 , □ = 33 - 16 = 17
○ - 28 = 45 , ○ = 45 + 28 = 73
19 × ♢= 57 , ♢ = 57 ÷ 19 = 3
◇ ÷ 15 = 8 , ◇ = 8 × 15 = 120
除法是減法延伸,減法不適合交換
除法也不適合交換；加,乘則皆可
6+6+6=6×3 乘是加的速算
5+9=9+5 ∵加適合交換律
9×5=5×9 ∴乘也適合
☆10顆糖分二盤,每盤幾顆糖？
10 - ( ) - ( ) = 0
∵10 ÷ 2 = ( )
∴減法的速算是除法
☆65人分座五台車,每車幾人？
65 -□ -□ -□ -□ -□ = 0
65 = □ × 5 , □ = 65 ÷ 5 =13
⑹ + - × ÷ four of the original
÷ is - the speed algorithm,
and × the opposite, the inverse
÷ × mutually inverse operation, because + - is the inverse operation
+ ⇆ -
↯ ↯
× ⇆ ÷
four were originally used in the field of mathematics
The geometric extension of algebra depends on it
three areas to deduce infinite super wisdom
16 + □ = 33, □ = 33 - 16 = 17
○ - 28 = 45, ○ = 45 + 28 = 73
19 × ♢ = 57, ♢ = 57 ÷ 19 = 3
◇ ÷ 15 = 8, ◇ = 8 × 15 = 120
Division is subtraction extension, subtraction is not suitable for exchange
Division is not suitable for exchange; plus, by the can be
6 + 6 + 6 = 6 × 3
multiplied by the speed of the operator
5 + 9 = 9 + 5
∵ add the appropriate exchange law
9 × 5 = 5 × 9
∴ is also suitable
☆ 10 sugar two sets, each few sugar a few?
10 - () - () = 0
∵ 10 ÷ 2 = ()
∴ subtraction is the speed of the division
☆ 65 seats five cars, several people per car?
65 - □ - □ - □ - □ - □ = 0
65 = □ x 5, □ = 65 ÷ 5 = 13
÷ 是 - 的速算法，與 × 相反,互逆
÷ × 互為逆運算，因 + - 是逆運算
+ ⇆ -
↯ ↯
× ⇆ ÷
四則原本通用於數學領域
數論代數幾何延伸全靠它
三大領域推演無限超智慧
16 + □ = 33 , □ = 33 - 16 = 17
○ - 28 = 45 , ○ = 45 + 28 = 73
19 × ♢= 57 , ♢ = 57 ÷ 19 = 3
◇ ÷ 15 = 8 , ◇ = 8 × 15 = 120
除法是減法延伸,減法不適合交換
除法也不適合交換；加,乘則皆可
6+6+6=6×3 乘是加的速算
5+9=9+5 ∵加適合交換律
9×5=5×9 ∴乘也適合
☆10顆糖分二盤,每盤幾顆糖？
10 - ( ) - ( ) = 0
∵10 ÷ 2 = ( )
∴減法的速算是除法
☆65人分座五台車,每車幾人？
65 -□ -□ -□ -□ -□ = 0
65 = □ × 5 , □ = 65 ÷ 5 =13
⑹ + - × ÷ four of the original
÷ is - the speed algorithm,
and × the opposite, the inverse
÷ × mutually inverse operation, because + - is the inverse operation
+ ⇆ -
↯ ↯
× ⇆ ÷
four were originally used in the field of mathematics
The geometric extension of algebra depends on it
three areas to deduce infinite super wisdom
16 + □ = 33, □ = 33 - 16 = 17
○ - 28 = 45, ○ = 45 + 28 = 73
19 × ♢ = 57, ♢ = 57 ÷ 19 = 3
◇ ÷ 15 = 8, ◇ = 8 × 15 = 120
Division is subtraction extension, subtraction is not suitable for exchange
Division is not suitable for exchange; plus, by the can be
6 + 6 + 6 = 6 × 3
multiplied by the speed of the operator
5 + 9 = 9 + 5
∵ add the appropriate exchange law
9 × 5 = 5 × 9
∴ is also suitable
☆ 10 sugar two sets, each few sugar a few?
10 - () - () = 0
∵ 10 ÷ 2 = ()
∴ subtraction is the speed of the division
☆ 65 seats five cars, several people per car?
65 - □ - □ - □ - □ - □ = 0
65 = □ x 5, □ = 65 ÷ 5 = 13
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