画出函数y=2x+1的图像,利用图像求

2025-02-25 23:48:42
推荐回答(3个)
回答1:

解(1):2x+1=0

             2x  = -1

                 x= -½

解(2):2x+1≥0

                2x  ≥-1

                   x ≥-½

解(2):当  -3≤y≤3  时,则  -3≤2x+1≤3 。

          { -3≤2x+1

                        2x+1≤3 

                                            解得:-2≤x≤1

解(4):当y=0时,                

           2x+1=0                      ∴三角形的面积为:

                        x =-½                       |- ½|×1÷2

                 当x=0时,             =½÷2

          2×0+1=y                       =¼   

                           y=1

回答2:

解:

(1)

从图像看出(-1/2,0)

(2)

与y轴的交点

从图像可看出

(0,1)

|AB|=√(1^2+(1/2)^2)=√5/2

(3)

S=1/2×1×1/2=1/4

回答3:

答:

y=2x+1的图像见下图:

1)方程2x+1=0的解为x=-0.5

2)AB=√(OA^2+OB^2)=√(0.25+1)=√5/2

3)S=OA*OB/2=0.5*1/2=0.25