Maths problem:為何我計多次(a)也是(-1,-1)?

2020-05-02 9:44 pm
How to do (a)only, thanks

回答 (1)

2020-05-02 11:19 pm
✔ 最佳答案
Let centre=(h,k)
As centre lies on x-axis, k=0
∴ centre=(h,0)So, eqt. of circle: (x-h)²+y²=r² - - - - - (#)

From A(-1,1)&B(0,-2) :
{ (-1-h)² + 1² = r²
{ (0-h)² + (-2)²= r²
{ (1+h)² + 1 = r² . . . . . . .. . . ①
{ h² + 4 = r². . . . . . . . . . . . . ②
①-②: (1+2h)-3 = 0
   2h-2=0
   ∴ h=1

So, centre=(1,0)

~~~~~~~~~~~~ END ~~~~~~~~~~~~
(#): Initially, eqt. of circle should be: 
(x-h)²+(y-k)²=r²
Now, centre lies on x-axis, k=0
∴ eqt. of circle: (x-h)²+y²=r²


收錄日期: 2021-04-24 07:52:26
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20200502134424AAziopM

檢視 Wayback Machine 備份