2017年9月22日 星期五

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

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