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2025版高考一轮数学总复习 (通用版)练习册
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这是一份2025版高考一轮数学总复习 (通用版)练习册,文件包含江苏卷doc、江苏卷doc、浙江卷doc、浙江卷doc、新高考Ⅰ卷docx、全国乙卷理科docx、全国卷Ⅰdoc、全国卷Ⅲdoc、北京卷doc、新高考Ⅱ卷docx、全国卷Ⅱdoc、全国甲卷理科docx、全国甲卷文科docx、天津卷doc、天津卷doc、全国乙卷文科docx、新高考Ⅰ卷docx、新课标全国卷Ⅲdoc、浙江卷docx、浙江卷docx、全国乙卷理科docx、新高考Ⅰ卷docx、全国乙卷理科docx、新高考Ⅱ卷docx、全国甲卷理科docx、全国Ⅰ卷理科docx、江苏卷docx、北京卷doc、新高考Ⅰ卷docx、新课标全国卷Ⅱdoc、北京卷docx、新课标全国卷Ⅰdoc、全国甲卷理科docx、全国乙卷文科docx、全国Ⅱ卷理科docx、北京卷docx、天津卷docx、天津卷docx、北京卷docx、全国甲卷文科docx、新高考Ⅱ卷docx、全国甲卷文科docx、全国乙卷文科docx、全国Ⅲ卷理科docx、必刷小题15平行垂直的判定及性质空间向量与空间角距离docx、浙江卷docx、上海卷docx、全国Ⅰ卷文科docx、全国Ⅱ卷文科docx、天津卷docx、必刷小题19直线与圆锥曲线的位置关系docx、必刷小题14空间点线面之间的位置关系docx、必刷大题16空间向量与立体几何docx、上海卷docx、必刷小题13空间几何体的表面积与体积docx、必刷小题20圆锥曲线的综合问题docx、必刷小题25离散型随机变量的分布列及数字特征docx、必刷小题7三角函数的概念图象及性质docx、必刷小题8三角恒等变换与解三角形docx、必刷小题18椭圆双曲线抛物线的定义及性质docx、必刷小题17直线与圆docx、必刷小题23统计初步与随机事件的概率docx、必刷小题24回归分析与独立性检验docx、必刷大题26概率与统计docx、必刷小题22排列组合与二项式定理docx、全国Ⅲ卷文科docx、必刷小题4基本初等函数函数与方程docx、必刷小题5导数及其应用docx、必刷小题10平面向量docx、必刷大题9三角函数与解三角形综合问题docx、必刷大题6导数的综合应用docx、必刷小题1集合与常用逻辑用语docx、必刷大题12数列的综合问题docx、必刷小题11数列docx、必刷小题2不等式docx、必刷小题3函数及其性质docx、必刷大题21解析几何docx等77份试卷配套教学资源,其中试卷共713页, 欢迎下载使用。
1.若函数y=f(x)的定义域为[0,2],则函数g(x)=f(2x)x-1的定义域是( )
A.[0,1) B.[0,1]
C.[0,1)∪(1,4] D.(0,1)
解析:A 函数y=f(x)的定义域是[0,2],要使函数g(x)有意义,可得0≤2x≤2,x-1≠0,解得0≤x<1,故选A.
2.若函数f(x)=x3ln(x2+2a-x)(a>0)为偶函数,则a=( )
A.14 B.12
C.1 D.2
解析:B 易得定义域为R,因为函数f(x)=x3ln(x2+2a-x)为偶函数,且y=x3为奇函数,故g(x)=ln(x2+2a-x)为奇函数.故g(0)=0,即ln2a=0,即2a=1,解得a=12.故选B.
3.函数f(x)在(-∞,+∞)上单调递减,且为奇函数.若f(1)=-1,则满足-1≤f(x-2)≤1的x的取值范围是( )
A.[-2,2] B.[-1,1]
C.[0,4] D.[1,3]
解析:D 根据题意,f(x)为奇函数,若f(1)=-1,则f(-1)=1,因为f(x)在(-∞,+∞)单调递减,且-1≤f(x-2)≤1,所以f(1)≤f(x-2)≤f(-1),即有-1≤x-2≤1,解得1≤x≤3.故选D.
4.函数f(x)=x22|x|-4的图象大致为( )
解析:D 因为函数f(x)=x22|x|-4的定义域为{x|x≠±2},f(-x)=(-x)22|-x|-4=x22|x|-4=f(x),所以f(x)是偶函数,函数图象关于y轴对称,排除A、B;当x∈(0,2)时1<2x<4,f(x)=x22x-4<0,排除C.故选D.
5.已知函数f(x)=x2-ax,x≤0,ax2+x,x>0为奇函数,则a=( )
A.-1B.1
C.0D.±1
解析:A ∵函数f(x)是奇函数,∴f(-x)=-f(x),则有f(-1)=-f(1),即1+a=-a-1,即2a=-2,得a=-1(符合题意),故选A.
6.函数f(x)=xx-1,x≤0,-x2-(a+1)x+2a,x>0在R上单调递减,则实数a的取值范围是( )
A.(-1,0)B.[-1,0]
C.(-1,+∞)D.[-1,+∞)
解析:B 因为xx-1=1+1x-1,故f(x)在(-∞,0]上单调递减,由题意得-(a+1)2≤0,00-1≥2a,解得-1≤a≤0,故选B.
7.已知定义在R上的偶函数f(x)满足在[0,+∞)上单调递增,f(3)=0,则关于x的不等式f(x+2)+f(-x-2)x>0的解集为( )
A.(-5,-2)∪(0,+∞) B.(-∞,-5)∪(0,1)
C.(-3,0)∪(3,+∞) D.(-5,0)∪(1,+∞)
解析:D 因为定义在R上的偶函数f(x)满足在[0,+∞)上单调递增,所以f(x)满足在(-∞,0)上单调递减,又f(3)=0,所以f(-3)=f(3)=0.作出函数f(x)的草图如图,由f(x+2)+f(-x-2)x>0,得
f(x+2)+f[-(x+2)]x>0,得2f(x+2)x>0,所以x>0,f(x+2)>0或x
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