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二元一次不等式(System of Linear Inequalities)

Total questions: 20

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

Which point below is not part of the solution set ?

下列何者不是不等式的解? 

a)

(0, 0)

b)

(1, 2)

c)

(1, -1)

d)

(2, 1)

2.

Select the graph for x+2y6x+2y\ge6 . 不等式 x+2y6x+2y\ge6  的圖解為

a)
b)
c)
d)
3.

Which quadrant the graph of the inequality x-y>4 does not pass through ?

不等式 x-y>4 的圖形不通過第幾象限

a)

1

b)

2

c)

3

d)

4

4.

If the point P(a,5) is a solution of the inequality x-2y < 0, what is the range of a ?

若點P為不等式 x-2y < 0 的解,則 a 的範圍為

a)

a > 5

b)

a < 10

c)

a >10

d)

a<6

5.

Determine whether the two points A(1,0) and B(0,1) are on the same side or the opposite side of the line L : x - y = 0.

判斷 A(1,0)、 B(0,1) 兩點在直線L : x - y = 0 的同側或異側

a)

同側

b)

異側

6.

Which of the following linear inequalities system of equations match the given graph?

如圖所示,鋪色區域的聯立不等式為

a)
b)
c)
d)
7.

Which of the following section match the given graph for the given linear inequalities system of equations ?

下列哪一塊區域為聯立不等式所圍區域

a)

A

b)

B

c)

C

d)

D

8.

What is the area of the region bounded by the given linear inequalities system of equations?

滿足聯立不等式的區域面積為

a)

12

b)

24

c)

10

d)

20

9.

Find the minimum of f(x,y)=xyf\left(x,y\right)=x-y  satisfies the given linear inequalities system of equations.         若點滿足聯立不等式,則 f(x,y)=xyf\left(x,y\right)=x-y  的最小值為

a)

-7

b)

-4

c)

-3

d)

-8

10.

Find the minimum of f(x,y)=xyf\left(x,y\right)=xy     satisfies the given linear inequalities system of equations.    若點滿足聯立不等式,則 f(x,y)=xyf\left(x,y\right)=xy     的最小值為

(a)  

11.

Find the area of the region determined by the system.

不等式方程組所圍的區域面積為

(a)  

12.

       Find the maximum (M )and minimum (m ) of the function f (x) = 2x+3y+1, constrained by the system. (M, m)=?

在不等式方程組的限制條件下: f(x,y)=2x+3y+1f\left(x,y\right)=2x+3y+1  的最大值為M,最小值為 m,則 M+n =?

(a)  

13.

What is the impossible value of k ? If the points A(1, 3) and B(4,-5) are on opposite sides of the line kx+2y+3=0.

若A(1, 3)、B(4,-5) 兩點在直線 kx+2y+3=0 之異側,則k值不可能為何? 

a)

-4

b)

-5

c)

-1

d)

5

14.

What is the range of k? If (4, k) satisfies the given linear inequalities system of equations.    

若(4, k)為聯立不等式的解,則k的範圍為何?

a)

4k<23-4\le k<23  

b)

4<k23-4<k\le23  

c)

2k<23-2\le k<23  

d)

2<k23-2<k\le23  

15.

Which of the following section match the given graph for the given linear inequalities system of equations ?

聯立不等式的可行解區域是圖形的哪一個部份?

a)

A

b)

B

c)

C

d)

D

16.

Match the system of linear inequalities with its graph.

下列二元一次聯立不等式中,何者代表圖形所示之三角區域?

a)
b)
c)
d)
17.

Match the system of linear inequalities with its graph.

下列聯立不等式中,何者之圖解如圖陰影的部分?

a)
b)
c)
d)
18.

The maximum value of P = 2x – y such that x ≥ 0,y ≥ 1,x + y ≤ 2, is.

在x ≥ 0,y ≥ 1,x + y ≤ 2的條件下,P = 2x – y 的最大值為何?

a)

-2

b)

-1

c)

1

d)

2

19.

Which ordered pair is not in the solution set of y > − 2 x + 8 and y ≤ 3x − 2?

下列哪個點不在 y > − 2 x + 8 和 y ≤ 3x − 2 的解集合中

a)

(5,3)

b)

(3,1)

c)

(4,3)

d)

(4,4)

20.

Which point is a solution to the system below? 2y < −12x + 4 , y < −6x + 4

下面哪一點滿足二元一次聯立不等式2y < -12x + 4 , y < -6x + 4 ?

a)

(1, 12\frac{1}{2}   )

b)

(- 12\frac{1}{2}  ,5)

c)

(0,6)

d)

(-3,2)