94學年度第二學期二ñ=
80;級課程2-1 2006/3/13
=
&nb=
sp;
◆平方根的Ļ=
26;號與特性
1數學家為了表示=
這個新成員,發明了=
2300;根號」,
來表示,寫法:<=
/sub>
請記得,<=
/sub>代表=
「二=
7425;方根」,舉例而=
8;,
求<=
/sub>的意=
思就是要問你,『誰=
0340;二=
7425;方會等於16呢?=
』
2 因此,如果題目=
改成『誰的三=
7425;方會等於27呢?=
』,符號又該如何表=
1034;?
答案:<=
/sub>=?=
3 聰明的你,依此=
類推,
四次方=
根=3D
五次方=
根=3D
:
:
N次方根=
=3D
4 此外,要特別注意的是=
,
只有「正數或0」才會有平Ą=
41;根,「負數」是沒有=
實數平方根的。
(=
) 16的平方根=
28858;4
(&=
nbsp;
) 121的平=
方根是<=
/sub>
(=
) -6是=
36的平方根
(=
) 8是 -64的平方根
(=
) 0是=
0的平方根
(=
) <=
/sub>
&nb=
sp;
◆根號內的秘密
<=
/sub>內只=
能寫「正數或0」,=
這一點你已經可以
瞭解,但是若是=
寫成「平方」或是「ߎ=
1;容易」判斷時,又該&=
#22914;何?
=
【範例】:
<=
/sub>
=
<=
/sub>
=
<=
/sub>
你有=
沒有發現,這個結果=
1644;我們學過的那一個=
6;號的性質一樣?
答=
案:
因此=
<=
/sub> 當=
a><=
span
lang=3DEN-US>0 ←→
<=
/sub> 當=
a><=
span
lang=3DEN-US>0
<=
/sub> 當a=3D0 ←→ =
<=
/sub> 當=
a=<=
span
lang=3DEN-US>0
<=
/sub> 當a<0 ←→ =
<=
/sub> 當=
a<<=
span
lang=3DEN-US>0
【練=
習】
<=
span
lang=3DEN-US>1. <=
/sub>
2. <=
/sub>
3. <=
/sub>
4. 若<=
span
lang=3DEN-US>x><=
span
lang=3DEN-US>3 ,則=
<=
/sub>
5. 若<=
span
lang=3DEN-US>x<<=
span
lang=3DEN-US>5 ,則=
<=
/sub>
&n=
bsp;
6. 若=
x>-3 ,則<=
/sub>
7. 若<=
span
lang=3DEN-US>x><=
span
lang=3DEN-US>-2 ,則=
<=
/sub>
8. 若<=
span
lang=3DEN-US>2x-10<4,則=
<=
/sub>
<=
span
style=3D'font-family:PMingLiU;mso-ascii-font-family:"Times New Roman";mso-h=
ansi-font-family:
"Times New Roman"'>◆雙=
重根號:
作兩次根=
34399;的意思
計算<=
/sub>
作法:因為<=
/sub>,所=
以<=
/sub>
練習:<=
/sub>
<=
/sub>
<=
/sub>
------=_NextPart_01C64458.B84B6F00
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