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Quadratic inequalities 二次不等式2

Total questions: 25

Worksheet time: 14mins

Name
Class
Date
1.

開口方向?

direction of opening?

a)

開口向上 open upwards

b)

開口向下 open downwards

2.

開口方向?

direction of opening?

a)

開口向上 open upwards

b)

開口向下 open downwards

3.

開口方向?

direction of opening?

a)

開口向上 open upwards

b)

開口向下 open downwards

4.

開口方向?

direction of opening?

a)

開口向上 open upwards

b)

開口向下 open downwards

5.

二次函數 Quadratic function : y=x2 -5x+6

求開口方向。

Find the direction of opening.

a)

開口向上 open upwards

b)

開口向下 open downwards

6.

二次函數 Quadratic function : y=-2x2 -5x+6

求開口方向。

Find the direction of opening.

a)

開口向上 open upwards

b)

開口向下 open downwards

7.

圖中有多少個實根?

In the figure, how many real roots are there?

a)

0

b)

1

c)

2

8.

圖中有多少個實根?

In the figure, how many real roots are there?

a)

0

b)

1

c)

2

9.

圖中有多少個實根?

In the figure, how many real roots are there?

a)

0

b)

1

c)

2

10.

圖中有多少個實根?

In the figure, how many real roots are there?

a)

0

b)

1

c)

2

11.

x2+5x+4=0 有多少個實根?

How many real roots for x2+5x+4=0?

a)

0

b)

1

c)

2

12.

2x2+5x+4=0 有多少個實根?

How many real roots for x2+5x+4=0?

a)

0

b)

1

c)

2

13.

x2+12x+36=0 有多少個實根?

How many real roots for x2+12x+36=0 ?

a)

0

b)

1

c)

2

14.

解 x2-7x+10 < 0

Solve x2-7x+10 < 0

a)

2<x<5

b)

x<2 or x<5

c)

x>5 or x>2

d)

x<2 or x>5

15.

解 x2-6x+8 > 0

Solve x2-6x+8 > 0

a)

2<x<4

b)

x>4 or x<2

c)

x>4 or x>2

16.

解 x2+3x-4<0

Solve x2+3x-4<0

a)

x<-4 or x<1

b)

x<1

c)

-4<x<1

d)

x<-4 or x>1

17.

解  x2+3x40x^2+3x-4\le0  
Solve  x^2+3x-4\le0  

a)

 x4 or x1x\le-4\ or\ x\le1  

b)

 x4 or x 1x\le-4\ or\ x\ \ge1  

c)

 x4x\le-4  

d)

 4x1-4\le x\le1  

18.

解  2x26x02x^2-6x\ge0  
Solve  2x26x02x^2-6x\ge0  

a)

 x0 or x3x\ge0\ or\ x\ge3  

b)

 x0 or x 3x\le0\ or\ x\ \ge3  

c)

 x0x\ge0  

d)

 0x30\le x\le3  

19.

解  2x2x+202x^2-x+2\ge0  
Solve  2x2x+202x^2-x+2\ge0  

a)

沒有解 
no solution

b)

所有實數x
all real values of x

20.

解  2x2x+2<02x^2-x+2<0  
Solve  2x2x+2<02x^2-x+2<0  

a)

沒有解 
no solution

b)

所有實數x
all real values of x

21.

解  x2+10x+25>0x^2+10x+25>0  
Solve  x2+10x+25>0x^2+10x+25>0  

a)

沒有解 
no solution

b)

所有實數x
all real values of x

c)

除 -5以外的所有實數x
all real values of x except -5

22.

解  x2+4x4>0-x^2+4x-4>0  
Solve  x2+4x4>0-x^2+4x-4>0  

a)

沒有解 
no solution

b)

所有實數x
all real values of x

c)

除 2以外的所有實數x
all real values of x except 2

d)

x=2

23.

解  x2+4x40-x^2+4x-4\le0  
Solve  x2+4x40-x^2+4x-4\le0  

a)

沒有解 
no solution

b)

所有實數x
all real values of x

c)

除 2以外的所有實數x
all real values of x except 2

d)

x=2

24.

解  x2+4x40-x^2+4x-4\ge0  
Solve  x2+4x40-x^2+4x-4\ge0  

a)

沒有解 
no solution

b)

所有實數x
all real values of x

c)

除 2以外的所有實數x
all real values of x except 2

d)

x=2

25.

解  x2+4x4<0-x^2+4x-4<0  
Solve  x2+4x4<0-x^2+4x-4<0  

a)

沒有解 
no solution

b)

所有實數x
all real values of x

c)

除 2以外的所有實數x
all real values of x except 2

d)

x=2