高一數學(ax^2+bx+2,判斷各式與0的關係)

2013-10-04 6:14 am

圖片參考:http://imgcld.yimg.com/8/n/AB04922685/o/20131003221314.jpg


求各式與0的判別方法

回答 (3)

2013-10-04 7:26 am
✔ 最佳答案
(1) 開口向下, a < 0

(2) 對稱軸為x = -b/2a﹐因為a < 0 而對稱軸為1 => b > 0

(3) 代x = 0 => c > 0

(4) 因為有兩個不同實根 => b^2 - 4ac > 0

從圖看y值後﹐可知

(5) 當代x = 1 => a + b + c > 0

(6) 當代 x = -1 => a - b + c = 0

(7) 當代x = 2 => 4a + 2b + c > 0
2013-10-04 6:48 am
(1)開口向下=> a<0
(2)對稱軸在右半部=> a*b<0 ==>a,b異號
(3)c 看與y軸交點 f(0)=c>0
(4)與x軸交二點=>判別式b^2-4ac >0
2013-10-04 6:21 am
看圖就好了= =
3.f(0)=c>0
5.f(1)=a+b+c>0
6.f(-1)=a-b+c=0
7.f(2)=4a+2b+c>0


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