2025年中考數(shù)學函數(shù)圖像解題步驟詳解題庫單項選擇題（共30題，每題1分）1.函數(shù)y=2x+1的圖像是一條直線，其斜率為多少？A.1B.2C.3D.42.函數(shù)y=x2的圖像是？A.直線B.拋物線C.橢圓D.雙曲線3.函數(shù)y=1/x的圖像是？A.直線B.拋物線C.橢圓D.雙曲線4.函數(shù)y=sin(x)的圖像周期是多少？A.πB.2πC.π/2D.4π5.函數(shù)y=cos(x)的圖像對稱軸是？A.x=0B.x=π/2C.x=πD.x=2π6.函數(shù)y=√x的圖像定義域是？A.x≥0B.x≤0C.x∈RD.x∈R+7.函數(shù)y=x3的圖像是？A.直線B.拋物線C.橢圓D.雙曲線8.函數(shù)y=1/x2的圖像是？A.直線B.拋物線C.橢圓D.雙曲線9.函數(shù)y=ln(x)的圖像定義域是？A.x>0B.x<0C.x∈RD.x∈R+10.函數(shù)y=e^x的圖像過點？A.(0,1)B.(1,0)C.(0,0)D.(1,1)11.函數(shù)y=tan(x)的圖像不存在的點？A.x=π/2B.x=πC.x=3π/2D.x=2π12.函數(shù)y=arcsin(x)的值域是？A.[-π/2,π/2]B.[-1,1]C.[0,π]D.R13.函數(shù)y=arctan(x)的值域是？A.[-π/2,π/2]B.[-1,1]C.[0,π]D.R14.函數(shù)y=|x|的圖像是？A.直線B.拋物線C.橢圓D.V形15.函數(shù)y=x^2的頂點坐標是？A.(0,0)B.(1,1)C.(-1,1)D.(0,1)16.函數(shù)y=2x-3的圖像與y軸的交點？A.(0,2)B.(0,3)C.(3,0)D.(2,0)17.函數(shù)y=x^2+4x+4的頂點坐標是？A.(-2,0)B.(-2,4)C.(2,0)D.(2,4)18.函數(shù)y=1/(x-1)的垂直漸近線？A.x=0B.x=1C.y=0D.y=119.函數(shù)y=2^x的圖像經(jīng)過點？A.(0,1)B.(1,2)C.(2,4)D.(3,8)20.函數(shù)y=√(x-1)的定義域？A.x≥0B.x≤0C.x≥1D.x≤121.函數(shù)y=1/√(x+1)的定義域？A.x≥-1B.x≤-1C.x∈RD.x∈R+22.函數(shù)y=2sin(x)+1的振幅？A.1B.2C.3D.423.函數(shù)y=cos(2x)的周期？A.πB.π/2C.2πD.π/424.函數(shù)y=3^x的圖像經(jīng)過點？A.(0,1)B.(1,3)C.(2,9)D.(3,27)25.函數(shù)y=10^x的圖像經(jīng)過點？A.(0,1)B.(1,10)C.(2,100)D.(3,1000)26.函數(shù)y=1/2^x的圖像經(jīng)過點？A.(0,1)B.(1,1/2)C.(2,1/4)D.(3,1/8)27.函數(shù)y=2^(-x)的圖像與y=2^x的關(guān)系？A.關(guān)于x軸對稱B.關(guān)于y軸對稱C.關(guān)于原點對稱D.關(guān)于y=x對稱28.函數(shù)y=sin(2x)的周期？A.πB.π/2C.2πD.π/429.函數(shù)y=cos(x/2)的周期？A.πB.π/2C.2πD.π/430.函數(shù)y=tan(2x)的周期？A.π/2B.πC.2πD.π/4多項選擇題（共20題，每題2分）1.下列函數(shù)中，圖像是拋物線的是？A.y=x2B.y=2x+1C.y=1/xD.y=√x2.下列函數(shù)中，定義域為x>0的是？A.y=ln(x)B.y=e^xC.y=1/xD.y=10^x3.下列函數(shù)中，值域為[-1,1]的是？A.y=sin(x)B.y=cos(x)C.y=arcsin(x)D.y=arccos(x)4.下列函數(shù)中，圖像關(guān)于y=x對稱的是？A.y=xB.y=1/xC.y=ln(x)D.y=e^x5.下列函數(shù)中，圖像是V形的是？A.y=|x|B.y=x2C.y=2x-3D.y=x^36.下列函數(shù)中，圖像經(jīng)過點(1,1)的是？A.y=xB.y=2xC.y=x2D.y=2^x7.下列函數(shù)中，圖像有垂直漸近線的是？A.y=1/xB.y=1/(x-1)C.y=1/(x+1)D.y=1/x28.下列函數(shù)中，圖像有水平漸近線的是？A.y=1/xB.y=e^xC.y=ln(x)D.y=10^x9.下列函數(shù)中，圖像是周期函數(shù)的是？A.y=sin(x)B.y=cos(x)C.y=tan(x)D.y=1/x10.下列函數(shù)中，圖像是單調(diào)遞增的是？A.y=x2B.y=2^xC.y=ln(x)D.y=10^x11.下列函數(shù)中，圖像是單調(diào)遞減的是？A.y=-x2B.y=1/2^xC.y=e^(-x)D.y=ln(x)12.下列函數(shù)中，圖像經(jīng)過點(0,1)的是？A.y=2^xB.y=e^xC.y=10^xD.y=1/2^x13.下列函數(shù)中，圖像關(guān)于原點對稱的是？A.y=sin(x)B.y=cos(x)C.y=tan(x)D.y=1/x14.下列函數(shù)中，圖像是雙曲線的是？A.y=1/xB.y=1/x2C.y=x2D.y=2x15.下列函數(shù)中，圖像是橢圓的是？A.y=1/xB.y=1/x2C.y=x2D.y=2x16.下列函數(shù)中，圖像是直線的是？A.y=2x+1B.y=x2C.y=1/xD.y=√x17.下列函數(shù)中，圖像是V形的是？A.y=|x|B.y=x2C.y=2x-3D.y=x^318.下列函數(shù)中，圖像經(jīng)過點(2,4)的是？A.y=x2B.y=2xC.y=x^3D.y=2^x19.下列函數(shù)中，圖像有垂直漸近線的是？A.y=1/xB.y=1/(x-1)C.y=1/(x+1)D.y=1/x220.下列函數(shù)中，圖像有水平漸近線的是？A.y=1/xB.y=e^xC.y=ln(x)D.y=10^x判斷題（共20題，每題1分）1.函數(shù)y=x2的圖像是拋物線。（正確）2.函數(shù)y=1/x的圖像是雙曲線。（正確）3.函數(shù)y=sin(x)的圖像周期是2π。（正確）4.函數(shù)y=cos(x)的圖像對稱軸是x=π/2。（正確）5.函數(shù)y=√x的圖像定義域是x≥0。（正確）6.函數(shù)y=x3的圖像是直線。（錯誤）7.函數(shù)y=1/x2的圖像是拋物線。（錯誤）8.函數(shù)y=ln(x)的圖像定義域是x>0。（正確）9.函數(shù)y=e^x的圖像過點(0,1)。（正確）10.函數(shù)y=tan(x)的圖像不存在的點是x=π/2。（正確）11.函數(shù)y=arcsin(x)的值域是[-π/2,π/2]。（正確）12.函數(shù)y=arctan(x)的值域是[-π/2,π/2]。（正確）13.函數(shù)y=|x|的圖像是V形。（正確）14.函數(shù)y=x^2的頂點坐標是(0,0)。（正確）15.函數(shù)y=2x-3的圖像與y軸的交點是(0,3)。（正確）16.函數(shù)y=1/(x-1)的垂直漸近線是x=1。（正確）17.函數(shù)y=2^x的圖像經(jīng)過點(1,2)。（正確）18.函數(shù)y=√(x-1)的定義域是x≥1。（正確）19.函數(shù)y=1/√(x+1)的定義域是x∈R。（錯誤）20.函數(shù)y=2sin(x)+1的振幅是3