遵義高中數(shù)學(xué)試卷及答案

遵義高中數(shù)學(xué)試卷及答案一、選擇題（每題4分，共40分）1.函數(shù)y=f(x)的圖象關(guān)于點(diǎn)（1，2）對(duì)稱，則下列函數(shù)中圖象也關(guān)于點(diǎn)（1，2）對(duì)稱的是（）A.y=f(2x-1)+2B.y=f(2x)+2C.y=f(2x-2)+2D.y=f(2x-1)-2答案：C2.已知函數(shù)f(x)=x^2-4x+3，下列說法正確的是（）A.函數(shù)f(x)的圖象開口向上，且有最小值B.函數(shù)f(x)的圖象開口向下，且有最大值C.函數(shù)f(x)的圖象開口向上，且有最大值D.函數(shù)f(x)的圖象開口向下，且有最小值答案：A3.已知函數(shù)f(x)=x^3-3x，下列說法正確的是（）A.函數(shù)f(x)是奇函數(shù)B.函數(shù)f(x)是偶函數(shù)C.函數(shù)f(x)是周期函數(shù)D.函數(shù)f(x)不是周期函數(shù)答案：A4.已知函數(shù)f(x)=x^2-4x+3，下列說法正確的是（）A.函數(shù)f(x)的圖象與x軸有兩個(gè)交點(diǎn)B.函數(shù)f(x)的圖象與x軸有一個(gè)交點(diǎn)C.函數(shù)f(x)的圖象與x軸沒有交點(diǎn)D.函數(shù)f(x)的圖象與x軸有三個(gè)交點(diǎn)答案：C5.已知函數(shù)f(x)=x^3-3x，下列說法正確的是（）A.函數(shù)f(x)在R上單調(diào)遞增B.函數(shù)f(x)在R上單調(diào)遞減C.函數(shù)f(x)在R上先增后減D.函數(shù)f(x)在R上先減后增答案：D6.已知函數(shù)f(x)=x^2-4x+3，下列說法正確的是（）A.函數(shù)f(x)的零點(diǎn)為1和3B.函數(shù)f(x)的零點(diǎn)為-1和3C.函數(shù)f(x)的零點(diǎn)為1和5D.函數(shù)f(x)的零點(diǎn)為-1和5答案：A7.已知函數(shù)f(x)=x^3-3x，下列說法正確的是（）A.函數(shù)f(x)的極小值點(diǎn)為x=-1B.函數(shù)f(x)的極大值點(diǎn)為x=-1C.函數(shù)f(x)的極小值點(diǎn)為x=1D.函數(shù)f(x)的極大值點(diǎn)為x=1答案：C8.已知函數(shù)f(x)=x^2-4x+3，下列說法正確的是（）A.函數(shù)f(x)的圖象關(guān)于直線x=2對(duì)稱B.函數(shù)f(x)的圖象關(guān)于直線x=-2對(duì)稱C.函數(shù)f(x)的圖象關(guān)于直線x=1對(duì)稱D.函數(shù)f(x)的圖象關(guān)于直線x=-1對(duì)稱答案：A9.已知函數(shù)f(x)=x^3-3x，下列說法正確的是（）A.函數(shù)f(x)的圖象關(guān)于直線x=-1對(duì)稱B.函數(shù)f(x)的圖象關(guān)于直線x=1對(duì)稱C.函數(shù)f(x)的圖象關(guān)于直線x=0對(duì)稱D.函數(shù)f(x)的圖象關(guān)于直線x=2對(duì)稱答案：B10.已知函數(shù)f(x)=x^2-4x+3，下列說法正確的是（）A.函數(shù)f(x)的圖象關(guān)于點(diǎn)（2，-1）對(duì)稱B.函數(shù)f(x)的圖象關(guān)于點(diǎn)（-2，-1）對(duì)稱C.函數(shù)f(x)的圖象關(guān)于點(diǎn)（1，-1）對(duì)稱D.函數(shù)f(x)的圖象關(guān)于點(diǎn)（-1，-1）對(duì)稱答案：A二、填空題（每題4分，共20分）11.已知函數(shù)f(x)=x^2-4x+3，求函數(shù)f(x)的最小值。______答案：-112.已知函數(shù)f(x)=x^3-3x，求函數(shù)f(x)的極小值點(diǎn)。______答案：x=113.已知函數(shù)f(x)=x^2-4x+3，求函數(shù)f(x)的零點(diǎn)。______答案：x=1和x=314.已知函數(shù)f(x)=x^3-3x，求函數(shù)f(x)的極大值點(diǎn)。______答案：x=-115.已知函數(shù)f(x)=x^2-4x+3，求函數(shù)f(x)的對(duì)稱軸。______答案：直線x=2三、解答題（每題10分，共40分）16.已知函數(shù)f(x)=x^2-4x+3，求函數(shù)f(x)的圖象與x軸的交點(diǎn)坐標(biāo)。解：令f(x)=0，即x^2-4x+3=0，解得x=1和x=3。所以函數(shù)f(x)的圖象與x軸的交點(diǎn)坐標(biāo)為（1，0）和（3，0）。17.已知函數(shù)f(x)=x^3-3x，求函數(shù)f(x)的單調(diào)區(qū)間。解：求導(dǎo)數(shù)f'(x)=3x^2-3，令f'(x)>0，解得x>1或x<-1；令f'(x)<0，解得-1<x<1。所以函數(shù)f(x)在（-∞，-1）和（1，+∞）上單調(diào)遞增，在（-1，1）上單調(diào)遞減。18.已知函數(shù)f(x)=x^2-4x+3，求函數(shù)f(x)的對(duì)稱中心。解：函數(shù)f(x)=x^2-4x+3可以寫成f(x)=(x-2)^2-1，所以函數(shù)f(x)的對(duì)稱中心為（2，-1）。19.已知函數(shù)f(x)=x^3-3x，求函數(shù)f(x)的極值點(diǎn)。解：求導(dǎo)數(shù)f'(x)=3x^2-3，令f