2022年高考数学专题指数函数对数函数幂函数试题及其答案详解 2.pdf

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1、2016 learning implement to tube main leaders topic seminar spirit counselling material 2016 learning implement to tube main leaders topi c seminar spirit counse lling material March 7, XI Ge neral Secretary to I province delegation participate in considered and published has important speech, on XXX

2、 province people for Chi na revolution vi ctory and Socialist construction made of contribution give has certai nly, on I province past five years implementation focus strategy, and grasp focus industry, economic social development made of results give has certainly, Clarified the demands for develo

3、pment of XXX, referring to bot h dire ctions, tasks and issue s, teaching methods, for the current and fut ure development in Heilongjiang province, is of great practical significance and far-reaching historical significance. March 22 to 24th, provincial held has province tube main leaders topi c se

4、minar, provincial S ecretary Wang Xiankui comrade in seminar opening provi nce do has important speech, Wang Xiankui stressed: in-depth learning acquisition General Secretary of speech, is on XXX a political account, we must put learning implement XI General Secretary important speech spirit as majo

5、r political task, adapted and led economic development new normal, insisted to economic construction for Ce nternot shake, implement implementation new development concept, weaknesses, and swagger grams short, and yangcha ngbuduan, Stimulate the endogenous dynami cs, formation effect of EMU, firm im

6、plementation of the five planni ng, the development of key industries, ope n Dragon River comprehensive revitalization new journey, struggling to get out of a high quality, efficient, better structure and developme nt road of revitalization of the advantages into full play. March 29 to 30th, the Com

7、mittee organized a pipe major thematic seminar of leading cadre s prefectural comrade Jia Yumei made an important speech at the ope ning ceremony. Jia Shuji stressed, full district upper and lower must to effective enha nce d learning publicity implement implementation XI General Secretary important

8、 speech spirit of political consciously, and thought consciously, and action consciously and mission consciously, put learning XI Ge neral Secretary and provinci al Secretary Wang Xiankui speech spirit as current primary political task, to more strongly of attitude, and more powerful of measures, an

9、d more full of drive promoted forest transformation development, struggled to out of forest transformation devel opment new , ensure as scheduled achieved full built forest society of target. Today theCounty for convening this Conference, i s to fully implement the arrangements of the provincial, pr

10、efectural, and i s a major political task. County-wide each of the party members and cadres must earnestly study, deeply understand, enter into the heart, done outside the heart, of the line armed wit h Jia, Secretary of spirit and mind, practice, work, below, I XX practical study Jia Shujis importa

11、nt spee ch spirit with you. Awareness, deepe n the County, General Secretaryfurther clarify the transformational development, XI Jinping stressed that XXX has its advantages, also have their own boards, key to focus on weaknesses, short swagger grams, yangcha ngbuduan, integrated effect of policy me

12、asures towards the target solid forward. This important statement for us to do a good job providi ng a dialectical thinking a nd the scientific method, fully embodies the dialectical unity of subjective and objective law. We must speak to the spirit for guidance, and further deepen understandi ng, t

13、argeted to long ng well, Hawk shelters make good short, released in full development potential. 一. Potential and the big five short Board, that is, ecol ogical environment, resources, water, economic developme nt advantage advantage, advantage as policy overlap, cult ural enrichme nt, and industrial

14、 boards, institutional weakness, short peopl e short, short of funds and talent. From the perspective of ecol ogical environment, our region as an im portant guarantee of national ecol ogical safety, high forest cover, water, air and soil environmental indi cators, such as the nature, is the devel o

15、pment of green food and preserving pe nsi on ideal place s, for est carbon sinks and other industries. From the perspective of the priority of characteristic resources, wild blueberry, Northern forest resources such as drugs, big snow, big wetlands, River and forest tourism resources, variety, large

16、 reserveof mineral resources such as molybdenum, lead a nd zinc, has translated into strong material conditions for economi c advantage. Economc development out of the water, total more than 16 billion cubic meters of surface water resources and hydro-junction project of development prospe cts; reco

17、verable reserves of high quality mineral water resources million tons, is the base of rare natural and poll ution-free mineral water. Seen from the advantages of cultural enrichment, with Northern culture, and Xianbei cultures, Or oqen culture and a number of cultural resources, r ock only found mor

18、e than 1000 paintings, cult ural industry development has great potential. From the perspective of policy overlap advantage, with the State Forestry Administration and the provincial government two channels of policy towards dire ct enjoyment of natural forest protection program, Western development

19、, resource-base d cities sustainable development and main function regi on construction national poli cy planni ng. As l ong as we put these resources to use a nd exploit the advantages of good, could give guanghui, snow, cold region and black Glebe into gold a nd silver, will provide strong support

20、 for forest developme nt. (In addition to Jia Shuji mentioned advantages, XX we have in agriculture, water conservancy and other uni que resources. Agricultural resources, 1.129 million mu of arable land throughout the County, da hinggan Ling was the only predominantly rural administrative districts

21、, green pla nting area of 850,000 acres. Water resources, in a river over more than 180, many river hydropower development project conditions, rich in three five Luo and指数函数、对数函数、幂函数专题1 （2007 北京文、理，5 分）函数( )3 (02)xf xx的反函数的定义域为（）A(0)，B(19，C(01)，D9)，B；解析 函数( )3 (02)xf xx的反函数的定义域为原函数的值域，原函数的值域为(19，。考点

22、透析 根据指数函数在对应区间的值域问题，结合原函数与反函数的定义域与值域之间的关系处理对应反函数的定义域问题。2 （ 2007山 东 文 、 理 ， 5 分 ） 给 出 下 列 三 个 等 式 ：()( )( )()( )( )fxyf xfyf xyf x fy，( )( )()1( )( )f xfyf xyfx f y下列函数中不满足其中任何一个等式的是（）A( )3xf xB( )sinfxxC2( )logf xxD( )tanfxxB；解析 依据指、对数函数的性质可以发现A 满足()( )( )f xyf x f y，C 满足()( )( )f xyf xfy，而 D满足( )(

23、)()1( )( )fxf yf xyf x fy，B 不满足其中任何一个等式。考点透析 根据指数函数、 对数函数， 结合三角函数等其他相关函数讨论分析对应的性质是高考中比较常见的考题之一，关键是掌握对应函数的基本性质及其应用。3 （2007 全国 2 理， 5 分）以下四个数中的最大者是（）A （ln2）2Bln（ln2）C ln2Dln2 D；解析 0ln 21， ln（ ln2）0， （ln2）2ln2，而 ln2=21ln20 恒成立，当k=0 时， 30 恒成立；当0121602kkk时，即430k时也符合题意。考点透析 把函数的定义域问题转化为有关不等式的恒成立问题，再结合参数的取

24、值情况加以分类解析。27 （2008 江苏无锡模拟，5 分）给出下列四个命题：函数xay（0a且1a）与函数xaaylog（0a且1a）的定义域相同；函数3xy和xy3的值域相同；函数12121xy与xxxy2)21 (2都是奇函数；函数2) 1(xy与12xy在区间),0上都是增函数。其中正确命题的序号是：_。 （把你认为正确的命题序号都填上）、； 解析 在中，函数xay（0a且1a）与函数xaaylog（0a且1a）的定义域都是R，则结论正确；在中，函数3xy的值域为R，xy3的值域为R，则结论错误；在中，函数12121xy与xxxy2)21(2都是奇函数，则结论正确；在中，函数2) 1(

25、xy在),1 上是增函数，12xy在 R 上是增函数，则结论错误。考点透析 综合考察指数函数、对数函数、幂函数的定义、定义域、值域、函数性质等相关内容。28 （2008 江苏连云港模拟，5 分）直线ax（0a）与函数xy31、xy21、xy2、xy10的图像依次交于A、 B、C、D 四点，则这四点从上到下的排列次序是_。D、C、B、A；解析 结合四个指数函数各自的图象特征可知这四点从上到下的排列次序是D、C、B、A。考点透析 结合指数函数的图象规律，充分考察不同的底数情况下的指数函数的图象特征问题，加以判断对应的交点的上下顺序问题。29（2008 宁夏银行模拟理， 5 分） 若关于x的方程mx

26、x| 1| 1|5425有实根，则实数m的取值范围是 _。m|4m；解析 令| 1|5xy，则有10y，则可转化mxx| 1|1|5425得042myy，根据题意，由于042myy有实根，则0)(4)4(2m，解得4m。考点透析 通过换元，把指数方程转化为一元二次方程来分析求解，关键要注意换元中对应的参数y 的取值范围，为求解其他参数问题作好铺垫。精选学习资料 - - - - - - - - - 名师归纳总结 - - - - - - -第 7 页，共 11 页2016 learning implement to tube main leaders topic seminar spirit co

27、unselling material 2016 learning implement to tube main leaders topi c seminar spirit counse lling material March 7, XI Ge neral Secretary to I province delegation participate in considered and published has important speech, on XXX province people for Chi na revolution vi ctory and Socialist constr

28、uction made of contribution give has certai nly, on I province past five years implementation focus strategy, and grasp focus industry, economic social development made of results give has certainly, Clarified the demands for development of XXX, referring to bot h directions, tasks and issue s, teac

29、hing methods, for the current and fut ure development in Heilongjiang province, is of great practical significance and far-reaching historical significance. March 22 to 24th, provincial held has province tube main leaders topi c seminar, provincial S ecretary Wang Xiankui comrade in seminar opening

30、provi nce do has important speech, Wang Xiankui stressed: in-depth learning acquisition General Secretary of speech, is on XXX a political account, we must put learning implement XI General Secretary important speech spirit as major political task, adapted and led economic development new normal, in

31、sisted to economic construction for Ce nternot shake, implement implementation new development concept, weaknesses, and swagger grams short, and yangcha ngbuduan, Stimulate the endogenous dynami cs, formation effect of EMU, firm implementation of the five planni ng, the development of key industries

32、, ope n Dragon River comprehensive revitalization new journey, struggling to get out of a high quality, efficient, better structure and developme nt road of revitalization of the advantages into full play. March 29 to 30th, the Committee organized a pipe major thematic seminar of leading cadre s pre

33、fectural comrade Jia Yumei made an important speech at the ope ning ceremony. Jia Shuji stressed, full district upper and lower must to effective enha nce d learning publicity implement implementation XI General Secretary important speech spirit of political consciously, and thought consciously, and

34、 action consciously and mission consciously, put learning XI Ge neral Secretary and provinci al Secretary Wang Xiankui speech spirit as current primary political task, to more strongly of attitude, and more powerful of measures, and more full of drive promoted forest transformation development, stru

35、ggled to out of forest transformation development new , ensure as scheduled achieved full built forest society of target. Today theCounty for convening this Conference, i s to fully implement the arrangements of the provincial, prefectural, and i s a major political task. County-wide each of the par

36、ty members and cadres must earnestly study, deeply understand, enter into the heart, done outside the heart, of the line armed wit h Jia, Secretary of spirit and mind, practice, work, below, I XX practical study Jia Shujis important spee ch spirit with you. Awareness, deepe n the County, General Sec

37、retaryfurther clarify the transformational development, XI Jinping stressed that XXX has its advantages, also have their own boards, key to focus on weaknesses, short swagger grams, yangcha ngbuduan, integrated effect of policy measures towards the target solid forward. This important statement for

38、us to do a good job providi ng a dialectical thinking a nd the scientific method, fully embodies the dialectical unity of subjective and objective law. We must speak to the spirit for guidance, and further deepen understandi ng, targeted to long ng well, Hawk shelters make good short, released in fu

39、ll development potential. 一. Potential and the big five short Board, that is, e col ogical environment, resources, water, economic developme nt advantage advantage, advantage as policy overlap, cult ural enrichme nt, and industrial boards, institutional weakness, short peopl e short, short of funds

40、and talent. From the perspective of ecol ogical environment, our region as an im portant guarantee of national ecol ogical safety, high forest cover, water, air and soil environmental indi cators, such as the nature, is the devel opment of green food and preserving pensi on ideal place s, for est ca

41、rbon sinks and other industries. From the perspective of the priority of characteristic resources, wild blueberry, Northern forest resources such as drugs, big snow, big wetlands, River and forest tourism resources, variety, large reserves of mineral resources such as molybdenum, lead a nd zinc, has

42、 translated into strong material conditions for economi c advantage. Economic development out of the water, total more than 16 billion cubic meters of surface water resources and hydro-junction project of development prospe cts; recoverable reserves of high quality mineral water resources million to

43、ns, is the base of rare natural and poll ution-free mineral water. Seen from the advantages of cultural enrichment, with Northern culture, and Xianbei cultures, Or oqen culture and a number of cultural resources, r ock only found more than 1000 paintings, cult ural industry development has great pot

44、ential. From the perspective of policy overlap advantage, with the State Forestry Administration and the provincial government two channels of policy towards dire ct enjoyment of natural forest protection program, Western development, resource-base d cities sustainable development and main function

45、regi on construction national poli cy planni ng. As l ong as we put these resources to use a nd exploit the advantages of good, could give guanghui, snow, cold region and black Glebe into gold a nd silver, will provide strong support for forest developme nt. (In addition to Jia Shuji mentioned advan

46、tages, XX we have in agriculture, water conservancy and other uni que resources. Agricultural resources, 1.129 million mu of arable land throughout the County, da hinggan Ling was the only predominantly rural administrative districts, green pla nting area of 850,000 acres. Water resources, in a rive

47、r over more than 180, many river hydropower development project conditions, rich i n three five Luo and30 （2008 海南大联考模拟文、理）已知lgx+lgy=2lg （x2y） ，求yx2log的值。分析 考虑到对数式去掉对数符号后，要保证 x0， y0， x 2y0 这些条件成立。 假如 x=y ， 则有 x 2y=x0，这与对数的定义不符，从而导致多解。解析 因为 lgx+lgy=2lg （x2y） ，所以 xy= （x2y）2，即 x25xy+4y2=0，所以（ xy） （x4y）

48、=0，解得 x=y 或 x=4y，又因为 x0，y0，x2y0，所以 x=y 不符合条件，应舍去，所以yx=4，即yx2log=4log2=4。考点透析 在对数式logaN 中，必须满足a0，a1 且 N0 这几个条件。在解决对数问题时，要重视这几个隐含条件，以免造成遗漏或多解。31 （2008 宁夏大联考模拟理）根据函数|12|xy的图象判断：当实数m为何值时，方程mx|12|无解？有一解？有两解？分析 可以充分结合指数函数的图象加以判断可以把这个问题加以转换，将求方程mx|12|的解的个数转化为两个函数|12|xy与my的图象交点个数去理解。解析 函数|12|xy的图象可由指数函数xy2的

49、图象先向下平移一个单位，然后再作x轴下方的部分关于x轴对称图形，如下图所示，xy2|12|xy-11Oxy1函数my的图象是与x轴平行的直线，观察两图象的关系可知：当0m时，两函数图象没有公共点，所以方程mx|12|无解；当0m或1m时，两函数图象只有一个公共点，所以方程mx|12|有一解；当10m时，两函数图象有两个公共点，所以方程mx|12|有两解考点透析 由于方程解的个数与它们对应的函数图象交点个数是相等的，所以对于含字母方程解的个数讨论，往往用数形结合方法加以求解，准确作出相应函数的图象是正确解题的前提和关键32 （2008 山东淄博模拟理）已知1x是方程 xlgx=2008 的根，2

50、x是方程 x10 x=2008 的根，求12x x的值分析 观察此题，易看到题中存在lg x和10 x，从而联想到函数1ygx与10 xy而1x可以看成1ygx和精选学习资料 - - - - - - - - - 名师归纳总结 - - - - - - -第 8 页，共 11 页xy2008交点的横坐标， 同样2x可看成10 xy和xy2008交点的横坐标， 若利用函数1ygx与10 xy的对称性，此题便迎刃而解了解析 令1aygx，xyb2008，设其交点坐标为11(,)x y，同样令10 xcy，它与xyb2008的交点的横坐标为22(,)xy，由于反比例函数关于直线yx对称，则有11(,)x