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F.4 Ch.2 一元二次方程(二)

Authored by 67 YI

Mathematics

10th Grade

F.4 Ch.2 一元二次方程(二)
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20 questions

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1.

MULTIPLE SELECT QUESTION

1 min • 5 pts

已知一元二次方程式: ax2+bx+c=0ax^2+bx+c=0  

欲運用公式求解前,可以先用判別式確認解的狀況,請問下列何者正確?(複選題)

若

Δ=b2−4ac>0\Delta=b^2-4ac>0  方程式有相異兩解

(相異兩根)

若

Δ=b2−4ac=0\Delta=b^2-4ac=0  方程式有相同兩解

(重根)

若

Δ=b2−4ac≥0\Delta=b^2-4ac\ge0  則此方程式必有解

若

Δ=b2−4ac<0\Delta=b^2-4ac<0  方程式無解

(無實根)

2.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

請問 x2+2x−5=0x^2+2x-5=0 ,解的狀態為何?

無解

重根

兩相異解

3.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

若 x2+bx+1=0x^2+bx+1=0 ,解的狀態為重根,請問b為何? 

2

-2

0

±2\pm2  

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

考慮
9x2+6x+1=09x^2+6x+1=0 。

有兩個相異實根

有一個二重實根

沒有實根

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

考慮
2x2−x+3=02x^2-x+3=0 。

有兩個相異實根

有一個二重實根

沒有實根

6.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

求 x2 + 7x + 2 = 0 的兩根之和及兩根之積。

兩根之和= -7, 兩根之積=2

兩根之和= -7, 兩根之積= -2

兩根之和= 7, 兩根之積=2

兩根之和= 7, 兩根之積=- 2

7.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

若 α 和 β 是方程x2 + 3x – 4 = 0的根,求α + β 的值。

3

– 3

4

– 4

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