1、高考复习测试题(附参考答案)一、选择题(每小题5分,共60分)1设全集UR,Ax|x0,Bx|x1,则AUB( )Ax|0x1Bx|0x1 Cx|x0Dx|x12下列四个图形中,不是以x为自变量的函数的图象是( ) A B C D 3已知函数 f(x)x21,那么f(a1)的值为( )Aa2a2Ba21Ca22a2Da22a14下列等式成立的是( )Alog2(84)log2 8log2 4 B Clog2 233log2 2Dlog2(84)log2 8log2 45下列四组函数中,表示同一函数的是( )Af(x)|x|,g(x) Bf(x)lg x2,g(x)2lg xCf(x),g(x)
2、x1 Df(x),g(x) 6幂函数yx(是常数)的图象( ).A一定经过点(0,0)B一定经过点(1,1) C一定经过点(1,1) D一定经过点(1,1)7国内快递重量在1 000克以内的包裹邮资标准如下表:运送距离x(km)Ox500500x1 0001 000x1 5001 500x2 000邮资y(元)5.006.007.008.00如果某人从北京快递900克的包裹到距北京1 300 km的某地,他应付的邮资是( ).A5.00元 B6.00元 C7.00元 D8.00元8方程2x2x的根所在区间是( ).A(1,0)B(2,3)C(1,2)D(0,1)9若log2 a0,1,则( )
3、.Aa1,b0 Ba1,b0 C0a1,b0D0a1,b010函数y的值域是( ).A0,) B0,4 C0,4)D(0,4)11下列函数f(x)中,满足“对任意x1,x2(0,),当x1x2时,都有f(x1)f(x2)的是( ).Af(x)Bf(x)(x1)2 C f(x)ex Df(x)ln(x1)12已知函数f(x),则f(10)的值是( ). A2B1C0D1二、填空题(每小题4分 , 共16分)13Ax|2x5,Bx|xa,若AB,则a取值范围是 14若f(x)(a2)x2(a1)x3是偶函数,则函数f(x)的增区间是 15函数y的定义域是 16求满足的x的取值集合是 三、解答题(本
4、大题共6小题,共74分解答应写出文字说明、证明过程或演算步骤)17(12分)已知全集, =,集合是函数的定义域(1)求集合;(2)求(8分)18(12分) 已知函数f(x)lg(3x)lg(3x)(1)求函数f(x)的定义域;(2)判断函数f(x)的奇偶性,并说明理由19(12分)已知函数且()若,求函数在区间上的最大值和最小值;()要使函数在区间上单调递增,求的取值范围.(12分)20(12分)探究函数的图像时,.列表如下:x0.511.51.71.922.12.22.33457y8.554.174.054.00544.0054.024.044.355.87.57观察表中y值随x值的变化情况
5、,完成以下的问题: 函数的递减区间是,递增区间是; 若对任意的恒成立,试求实数m的取值范围21. (12分)求函数的单调增区间.22(14分) 已知, ()判断的奇偶性并加以证明;()判断的单调性并用定义加以证明;()当的定义域为时,解关于m的不等式参考答案一、选择题1B解析:UBx|x1,因此AUBx|0x12C 3C 4C 5A 6B 7C 8D 9D解析:由log2 a0,得0a1,由1,得b0,所以选D项 10C 解析: 4x0,016 4x16,0,4) 11A解析:依题意可得函数应在(0,)上单调递减,故由选项可得A正确12A 13D 14B解析:当xx1从1的右侧足够接近1时,是
6、一个绝对值很大的负数,从而保证f(x1)0;当xx2足够大时,可以是一个接近0的负数,从而保证f(x2)0故正确选项是B二、填空题15参考答案:(,2) 16参考答案:(,0) 17参考答案:4,)18参考答案:(8,) 三、解答题19参考答案:(1)由,得3x3, 函数f(x)的定义域为(3,3) (2)函数f(x)是偶函数,理由如下:由(1)知,函数f(x)的定义域关于原点对称, 且f(x)lg(3x)lg(3x)f(x), 函数f(x)为偶函数20参考答案:(1)证明:化简f(x)因为a2,所以,y1(a2)x2 (x1)是增函数,且y1f(1)a;另外,y2(a2)x2 (x1)也是增
7、函数,且y2f(1)a所以,当a2时,函数f(x)在R上是增函数(2)若函数f(x)存在两个零点,则函数f(x)在R上不单调,且点(1,a)在x轴下方,所以a的取值应满足 解得a的取值范围是(0,2)21参考答案:(1)当每辆车的月租金定为3 600元时,未租出的车辆数为12,所以这时租出了1001288辆车(2)设每辆车的月租金定为x元,则租赁公司的月收益为f(x)(x150)50(x4 050)2307 050所以,当x4 050 时,f(x)最大,其最大值为f(4 050)307 050当每辆车的月租金定为4 050元时,月收益最大,其值为307 050元 Most English pe
8、ople have three names : a first name. a middle name and a family name. But people dont use their middle names very much. So John Henry Brown is usually called(称作)John Brown. People never(从不)use Mr, Mrs. or Miss before their first name. So, you can say John Brown, but you should never say Mr. John. T
9、hey use Mr, Mrs. or Miss with the family names but never with the first names.Sometimes people ask me about my name. “Why do you parents call you Jim? Why do they choose(选择)the name for you?”The answer is they dont call me Jim. They can me James. People usually call me Jim for short 在一次作文课中老师让同学们以“名
10、字的故事”为题做口头作文。结果一个最拙(ch zhu)于表达的女生摘走了“最美的名字”的桂冠。我本来叫秦玲玲,两岁那年发烧住进唐山市儿童医院,不幸遇上了大地震。陪床的妈妈被坍下来的一块楼板夺去了性命。我和两个阿姨被埋在了废墟下面。一开始,我不停地哭闹,喊着要妈妈,但很快就哭不动了我渴呀!两个阿姨轮流抱着我,她们看我渴得快死了,就试着往我的嘴里滴了些尿液,可我说什么也不肯咽(yn y),全都吐了出来。“这孩子的命怕是保不住了。”一个阿姨伤心地说。.just only know fur, text level, writing ability is still in a low level int
11、erface. The knowledge is not complete, especially it is very little about professional some departments know knowledge, to write Chinese but not false, sometimes rely on online writing or presentation of ready-made one-sided materials, unwilling to make a deep thinking, put all sorts of things toget
12、her, the presentation quality is not high, due to the overall quality of their own quality is not high, the leadership of departments can not understand, it is difficult to stand in the perspective of leadership to think of thinking, lack of overall To grasp, not very good understanding of theand ef
13、ficient, , discipline, strict with oneself and honor and disgrace and other aspects of the problem, more solid and effective to carry out self-examination analysis on the activities of the check analysis of the problems such as the following:One, the existing problems and the performance of the tabl
14、e1, the lack of systematic education and learning initiative.There are still learning to cope with the presence of thought. Mainly do not take the initiative to learn in school, lack of consciousness. Only limited to the provisions of the study subjects did not当前,随着时代的进步,物质条件的富足,我们的生活条件也得到了改善。在当今社会一些不良因素的影响下,我们很多学生也形成了贪图享受、铺张浪费的不良消费观。很多同学不顾家里的经济实力盲目互相攀比:穿名牌服装,手机、电脑、MP3等已成为学生必备品。校园里浪费资源的现象也非常严重:人走灯不灭,人离水不停,食堂里到处可见剩饭剩菜。看到很多人在买东西时,因为好“面子”而拒绝店家找给的零钱