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2015届高三数学北师大版(通用,理)总复习讲义:第一章 易错题目辨析练——集合与常用逻辑用语


difficult, not hating ; bluepri nts, not rhetori c; w ords a nd sim ple, but full of love, tr uth, pa ssi on, e ntrepre neuria l pass ion.

Take this opport unit y, my inspirati onal quotes Li Da zha o's cl assi c "iron s pe cialise i n uplifting ble nd wit h the article" gave everyone, w ith a view on how to do well under t he new situation of tow ns hip and village lea ders i nspire and hel p, and als o share w ith you. A good play to create iron shoul ders strong arms, to as sume t he burde n be pa sse d; only specific qualitie s, will it be possi ble i n spe cific area s to create a w orld.

In my view, village chiefs i n the ne w situation, we must first have five basic qualit y. One ambiti on i s to pi onee r. "Who is handsome ." People only high -minded can stim ulate the flow of momentum to become brave and persi stent, become qui et and pow erful. Townshi p and village party "leaders", withi n their res pective j uris dicti ons , polit ical stability a nd e conomi c and social devel opme nt iss ues, deci sions and ori entation de pends to a large extent beca use of

your. Everybody i n village chiefs and the positions, both the trust of the mas ses, the Organi zation' s trust, more a bility to you, fully affirmed the moral a nd ot her qualities .

Therefore, we must always maintai n the histori cal missi on a nd s ocial re spons ibilit y, and our ideal tree rooted i n the hard work of the soil, with indomitable spirit, indomitable courag e to open up a new situati on of villages and tow ns. To have a feeli ng of closeness to t he se cond. "The pe ople a nd country." Our busi ness foundation in the pe ople' s blood i n the people power people. Adva nce d de cisi ons of the party ca dres to the feeli ngs of the people is a n eternal t heme. Fan Zhong -yan, calle d "first, and enj oy comfort about other s", Zheng Ba nqia o's als o wrote a "Ya Chai lay liste ning t o the rustling of bam boo, the s us pect is suffering. Cao County officials, little my, a total t urn off.

"Old of feudal official ev en has so feeling s, alone we i s to" serving "for purposes of people serva nt doe s? we more s hould alway s hol d with on people of

deep feeli ngs, heart Departme nt masses of leading visite d tea, care mas ses of emotions thoughts compl aine d, always i nsisted put mas ses of interest s put i n first, consciously from itself do up, from small do up, from masses most care, a nd most directl y, and most reality of interest s problem grabbe d, real do love for pe opl e by De partment, and right for pe opl e by with, a nd Lee for people by conspira cy to. Thre e with the fame of mind. "Non-indifferent not insist your dream, without s erenity not go far." Asce nsi on to fame is moralit y, is the sublimation of the soul. As Tow ns hip a nd village , be s ure to maintain a normal state of mind, establi sh a corre ct viewpoint on power, position and values a nd Outl ook, as fame is light l ike water, depe ndi ng ... 5 0 km, also red a nd l ike hundre ds of thousands of the KMT military combat, but he w ent on to colle ct a variety of news paper s and magazi nes, and the n race agai nst time to pore over. As long as the study of mind, it is not ne ces sary to come to the li brary, w orks hops,

into the village s, pe opl e learne d farming techniques, problem-s olving met hods, parti cipati on in

易错题目辨析练——集合与常用逻辑用语

A 组 专项基础训练

(时间:40 分钟)

一、选择题

1. 已知集合 P={y=x2+1},Q={y|y=x2+1},R={x|y=x2+1},M={(x,y)|y=x2+1},N

={x|x≥1},则

()

A.P=M

B.Q=R

C.R=M

D.Q=N

答案 D

解析 集合 P 是用列举法表示的,只含有一个元素,即函数 y=x2+1.集合 Q,R,N 中

的元素全是数,即这三个集合都是数集,集合 Q={y|y=x2+1}={y|y≥1},集合 R 是一

切实数.集合 M 的元素是函数 y=x2+1 图像上所有的点.故选 D.

2. 命题“对任意的 x∈R,x3-x2+1≤0”的否定是 A.不存在 x∈R,x3-x2+1≤0 B.存在 x∈R,x3-x2+1≤0 C.存在 x∈R,x3-x2+1>0 D.对任意的 x∈R,x3-x2+1>0 答案 C

()

解析 由已知得,对任意的 x∈R,x3-x2+1≤0,是全称命题.它的否定是特称命题,

“任意的”的否定是“存在”,“≤0”的否定是“>0”,故选 C.
3.“2a>2b”是“log2a>log2b”的 A.充分不必要条件 B.必要不充分条件 C.充要条件 D.既不充分也不必要条件 答案 B 解析 若 2a>2b,只能得到 a>b,但不能确定 a,b 的正负性,

()

当 0>a>b 时,log2a,log2b 均无意义,更不能比较其大小,从而未必有“log2a>log2b”;

若 log2a>log2b,则可得 a>b>0,从而有 2a>2b 成立.

confere nces , learne d superi ors policie s; reports, you ca n learn t o deal wit h problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd the scope of the study. T he complexity and comprehensive nes s of our w ork, deci ded to not only do we want to be "profes sionals", or if "generalists", to dabble i n different area s of knowle dge. Mastery of knowle dge not only t o have knowle dge to rational analys is. T his on requirements w e, not only to le arning national of route , and approach, a nd policy, als o to lear ning national of legal, and regulati ons ; not only to wit h political t heory armed mind, al so to wit h economic the ory gui de work ; not only to rea d hist ory, al so to rea d hist ory; not only to a bs orpti on SM of mirror, also t o gets is of roa d; not only t o from local lear n, als o to to outsi de learn; not only to t o books lear n, als o to field st udy lear n.

Therefore, I would e ncourage you, and more to the out side w orld w hen I have time to take a look at, take a stroll, outside devel opme nts, learn other

people's development approa ch, a nd t hen come back to g uide our w ork. Second, we must t hink. "Le arni ng without thought to overshadow, thi nking without learni ng is perilous." We wa nt to foster the chara cter of advancing with the times , forge ahead, often reflect themselves i n ada pting to the new situati on on w hether t here are delays, have a nythi ng to fear in the reform and innovation, whether i n terms of accelerating the devel opment of a relaxation, kee p promisi ng State of mind. I n or der to do investigations, i nvestigations is the road to heaven, God di sposes of the bas e. To wants to r eal heard trut h, and justi ce to trut h, and get truth, re ceive d effectivenes s, on must in -de pth a ctual, a nd outrea ch, a nd i n-dept h masses , wors hip mas ses for Divisi on, and ma sses heart, with mas ses wit h dis cussi on everyone care of problem, liste ning they of calls, understand they of mood, feel the y of suffering, summary they of experience, concentrate d they of wis dom, es pe cially on masses m ost hope, a nd most urgent,

and most w orries, a nd most com plaine d of hot, and difficultie s and focus problem, more to a ctive resear ch, caug ht not put. Dare t o innovate, in our w ork, often remain "the old way doe sn't work , the new approa ch w oul d not" sit uation, the reas on, t he key is that many people know that copyi ng other pe ople' s ideas , mechanically, using some one el se's old ways. To cha nge this predi cament, re quires us to break the s hackl es of traditional concept s to overcome cons ervative, conformist, good at finding ne w problems a nd to a cce pt ne w thing s, summarize new experience, new idea s, devel opi ng new programmes a nd Maveri ck, a new approa ch to s olve pr oblem s, speed up development. Es pe cially in impl ement s uperi or policy s pirit of proces s in the , bot h implementati on, a nd cannot mechani call y, to to extraordi nary of courage a nd develop enter prising of spirit, put flexibil ity a nd pri nci pl e combi ned up, put s uperi or of s pirit and l ocal reality combi ned up, Yong conspiracy t o breakthr oug h of poli cy, and exer cise

innovati on of lift, devel ope d out devel opme nt works of, and grass -root s welcomes of

difficult, not hating ; bluepri nts, not rhetori c; w ords a nd sim ple, but full of love, tr uth, pa ssi on, e ntrepre neuria l pass ion.

Take this opport unit y, my inspirati onal quotes Li Da zha o's cl assi c "iron s pe cialise i n uplifting ble nd wit h the article" gave everyone, w ith a view on how to do well under t he new situation of tow ns hip and village lea ders i nspire and hel p, and als o share w ith you. A good play to create iron shoul ders strong arms, to as sume t he burde n be pa sse d; only specific qualitie s, will it be possi ble i n spe cific area s to create a w orld.

In my view, village chiefs i n the ne w situation, we must first have five basic qualit y. One ambiti on i s to pi onee r. "Who is handsome ." People only high -minded can stim ulate the flow of momentum to become brave and persi stent, become qui et and pow erful. Townshi p and village party "leaders", withi n their res pective j uris dicti ons , polit ical stability a nd e conomi c and social devel opme nt iss ues, deci sions and ori entation de pends to a large extent beca use of

your. Everybody i n village chiefs and the positions, both the trust of the mas ses, the Organi zation' s trust, more a bility to you, fully affirmed the moral a nd ot her qualities .

Therefore, we must always maintai n the histori cal missi on a nd s ocial re spons ibilit y, and our ideal tree rooted i n the hard work of the soil, with indomitable spirit, indomitable courage to open up a new situati on of villages and tow ns. To have a feeli ng of closeness to t he se cond. "The pe ople a nd country." Our busi ness foundation in the pe ople' s blood i n the people power people. Adva nce d de cisi ons of the party ca dres to the feeli ngs of the people is a n eternal t heme. Fan Zhong -yan, calle d "first, and enj oy comfort about other s", Zheng Ba nqia o's als o wrote a "Ya Chai lay liste ning t o the rustling of bam boo, the s us pect is suffering. Cao County officials, little my, a total t urn off.

"Old of feudal official ev en has so feeling s, alone we i s to" serving "for purposes of people serva nt doe s? we more s hould alway s hol d wit h on people of

deep feeli ngs, heart Departme nt masses of leading visite d tea, care mas ses of emotions thoughts compl aine d, always i nsisted put mas ses of interest s put i n first, consciously from itself do up, from small do up, from masses most care, a nd most directl y, and most reality of interest s problem grabbe d, real do love for pe opl e by De partment, and right for pe opl e by wit h, a nd Lee for people by conspira cy to. Thre e with the fame of mind. "Non-indifferent not insist your dream, without s erenity not go far." Asce nsi on to fame is moralit y, is the sublimation of the soul. As Tow ns hip a nd village , be s ure to maintain a normal state of mind, establi sh a corre ct viewpoint on power, position and values a nd Outl ook, as fame is light l ike water, depe ndi ng ... 5 0 km, also red a nd l ike hundre ds of thousands of the KMT military combat, but he w ent on to colle ct a variety of news paper s and magazi nes, and the n race agai nst time to pore over. As long as the study of mind, it is not ne ces sary to come to the li brary, w orks hops,

into the village s, pe opl e learne d farming techniques, problem-s olving met hods, parti cipati on in

综上,“2a>2b”是“log2a>log2b”的必要不充分条件.

4. 已知集合 A={x|x2- mx+1=0},若 A∩R=?,则实数 m 的取值范围为

A.m<4

B.m>4

C.0<m<4

D.0≤m<4

答案 A

()

解析 ∵A∩R=?,则 A=?,即等价于方程 x2- mx+1=0 无实数解,即 Δ=m-4<0,

即 m<4,选 A.

注意 m<0 时也表示 A=?.

5. 定义集合运算:A⊙B={z|z=xy(x+y),x∈A,y∈B},设集合 A={1,2},B={3,4},则

集合 A⊙B 所有元素之积为

()

A.4 500

B.342 000

C.345 600

D.135 600

答案 C

解析 依题意,x,y 的取值应为

x=1,y=3;x=1,y=4;x=2,y=3;x=2,y=4. 从而 A⊙B={12,20,30,48}. 故所有元素之积为 12×20×30×48=345 600. 二、填空题 6. 设集合 M={y|y=2-x,x<0},N={a|a= b-1},则 M∩N=________. 答案 {x|x>1} 解析 ∵y=2-x,x<0,∴M={y|y>1}, ∴集合 M 代表所有大于 1 的实数;

由于 N={a|a= b-1},

∴a= b-1≥0,∴N={a|a≥0}, ∴集合 N 代表所有大于或等于 0 的实数, ∴M∩N 代表所有大于 1 的实数,即 M∩N={x|x>1}. 7. 设集合 A、B 是全集 U 的两个子集,则“A∪B=B”是“?UA??UB”的________条件. 答案 充要 解析 由 Venn 图知?UA??UB?A?B,而 A∪B=B?A?B.

confere nces , learne d superi ors policie s; reports, you ca n learn t o deal wit h problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd the scope of the study. T he complexity and comprehensive nes s of our w ork, deci ded to not only do we want to be "profes sionals", or if "generalists", to dabble i n different areas of knowle dge. Mastery of knowle dge not only t o have knowle dge to rational analys is. T his on requirements w e, not only to le arning national of route , and approach, a nd policy, als o to lear ning national of legal, and regulati ons ; not only to wit h political t heory armed mind, al so to wit h economic the ory gui de work ; not only to rea d hist ory, al so to rea d hist ory; not only to a bs orpti on SM of mirror, also t o gets is of roa d; not only t o from local lear n, als o to to outsi de learn; not only to t o books lear n, als o to field st udy lear n.

Therefore, I would e ncourage you, and more to the out side w orld w hen I have time to take a look at, take a stroll, outside devel opme nts, learn other

people's development approa ch, a nd t hen come back to g uide our w ork. Second, we must t hink. "Le arni ng without thought to overshadow, thi nking without learni ng is perilous." We wa nt to foster the chara cter of advancing with the times , forge ahead, often refle ct themselves i n ada pting to the new situati on on w hether t here are delays, have a nythi ng to fear in the reform and innovatio n, whether i n terms of accelerating the devel opment of a relaxation, kee p promisi ng State of mind. I n or der to do investigations, i nvestigations is the road to heaven, God di sposes of the bas e. To wants to real heard trut h, and justi ce to trut h, and get t ruth, re ceive d effectivenes s, on must in -de pth a ctual, a nd outrea ch, a nd i n-dept h masses , wors hip mas ses for Divisi on, and ma sses heart, with mas ses wit h dis cussi on everyone care of problem, liste ning they of calls, understand they of mood, feel the y of suffering, summary they of experience, concentrate d they of wis dom, es pe cially on masses m ost hope, a nd most urgent,

and most w orries, a nd most com plaine d of hot, and difficultie s and focus problem, more to a ctive resear ch, caug ht not put. Dare t o innovate, in our w ork, often remain "the old way doe sn't work , the new approa ch w oul d not" sit uation, the reas on, t he key is that many people know that copyi ng other pe ople' s ideas , mechanically, using some one el se's old ways. To cha nge this predi cament, re quires us to break the s hackl es of traditional concept s to overcome cons ervative, conformist, good at finding ne w problems a nd to a cce pt ne w thing s, summarize new experience, new idea s, devel opi ng new programmes a nd Maveri ck, a new approa ch to s olve pr oblem s, speed up development. Es pe cially in impl ement s uperi or policy s pirit of proces s in the , bot h implementati on, a nd cannot mechani call y, to to extraordi nary of courage a nd develop enter prising of spirit, put flexibility a nd pri nci pl e combi ned up, put s uperi or of s pirit and l ocal reality combi ned up, Yong conspiracy t o breakthr oug h of poli cy, and exer cise

innovati on of lift, devel ope d out devel opme nt works of, and grass -root s welcomes of

difficult, not hating ; bluepri nts, not rhetori c; w ords a nd sim ple, but full of love, tr uth, pa ssi on, e ntrepre neuria l pass ion.

Take this opport unit y, my inspirati onal quotes Li Da zha o's cl assi c "iron s pe cialise i n uplifting ble nd wit h the article" gave everyone, w ith a view on how to do well under t he new situation of tow ns hip and village lea ders i nspire and hel p, and als o share w ith you. A good play to create iron shoul ders strong arms, to as sume t he burde n be pa sse d; only specific qualitie s, will it be possi ble i n spe cific area s to create a w orld.

In my view, village chiefs i n the ne w situation, we must first have five basic qualit y. One ambiti on i s to pi onee r. "Who is handsome ." People only high -minded can stim ulate the flow of momentum to become brave and persi stent, becom e qui et and pow erful. Townshi p and village party "leaders", withi n their res pective j uris dicti ons , polit ical stability a nd e conomi c and social devel opme nt iss ues, deci sions and ori entation de pends to a large extent beca use of

your. Everybody i n village chiefs and the positions, both the trust of the mas ses, the Organi zation' s trust, more a bility to you, fully affirmed the moral a nd ot her qualities .

Therefore, we must always maintai n the histori cal missi on a nd s ocial re spons ibilit y, and our ideal tree rooted i n the hard work of the soil, with indomitable spirit, indomitable courage to open up a new situati on of villages and tow ns. To have a feeli ng of closeness to t he se cond. "The pe ople a nd country." Our busi ness foundation in the pe ople' s blood i n the people power people. Adva nce d de cisi ons of the party ca dres to the feeli ngs of the people is a n eternal t heme. Fan Zhong -yan, calle d "first, and enj oy comfort about other s", Zheng Ba nqia o's als o wrote a "Ya Chai lay liste ning t o the rustling of bam boo, the s us pect is suffering. Cao County officials, little my, a total t urn off.

"Old of feudal official ev en has so feeling s, alone we i s to" serving "for purposes of people serva nt doe s? we more s hould alway s hol d with on people of

deep feeli ngs, heart Departme nt masses of leading visite d tea, care mas ses of emotions thoughts compl aine d, always i nsisted put mas ses of interest s put i n first, consciously from itself do up, from small do up, from masses most care, a nd most directl y, and most reality of inter est s problem grabbe d, real do love for pe opl e by De partment, and right for pe opl e by with, a nd Lee for people by conspira cy to. Thre e with the fame of mind. "Non-indifferent not insist your dream, without s erenity not go far." Asce nsi on to fame is moralit y, is the sublimation of the soul. As Tow ns hip a nd village , be s ure to maintain a normal state of mind, establi sh a corre ct viewpoint on power, position and values a nd Outl ook, as fame is light l ike water, depe ndi ng ... 5 0 km, also red a nd l ike hundre ds of thousands of the KMT military combat, but he w ent on to colle ct a variety of news paper s and magazi nes, and the n race agai nst time t o pore over. As long as the study of mind, it is not ne ces sary to come to the li brary, w orks hops,

into the village s, pe opl e learne d farming techniques, problem-s olving met hods, parti cipati on in

8. 设 A,B 为两个集合,给出下列三个命题: ①A B 是 A∩B≠A 的充要条件; ②A B 是 A?B 的必要条件; ③A B 是“存在 x∈A,使得 x?B”的充要条件. 其中真命题是________.(写出所有真命题的序号) 答案 ①③ 解析 因为 A?B?A∩B=A,A?B?A∪B=B, 又原命题与它的逆否命题是等价的,所以①是真命题; 对于②,由于 A?B 包含了 A=B 的情形,而此时 A?B 成立,故②是假命题; 对于③,它的正确性不言自明.
三、解答题 9. 已知集合 A={x,xy,lg(xy)},B={0,|x|,y},若 A=B,求 x,y 的值.
解 由 A=B 知需分多种情况进行讨论,
由 lg(xy)有意义,则 xy>0. 又 0∈B=A,则必有 lg(xy)=0,即 xy=1.
此时,A=B,即{0,1,x}={0,|x|,y}.

x=|x|, ∴ xy=1,
y=1,

x=y, 或 xy=1,
|x|=1,

解得 x=y=1 或 x=y=-1.

当 x=y=1 时, A=B={0,1,1}与集合元素的互异性矛盾,应舍去; 当 x=y=-1 时, A=B={0,-1,1}满足题意,故 x=y=-1. 10.已知 p:x2-8x-20≤0,q:x2-2x+1-m2≤0(m>0),且綈 p 是綈 q 的必要不充分条件, 求实数 m 的取值范围. 解 由 x2-8x-20≤0,得-2≤x≤10. 由 x2-2x+1-m2≤0(m>0),得 1-m≤x≤1+m. ∵綈 p 是綈 q 的必要不充分条件,

confere nces , learne d superi ors policie s; reports, you ca n learn t o deal wit h problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd the scope of the study. T he complexity and comprehensive nes s of our w ork, deci ded to not only do we want to be "prof es sionals", or if "generalists", to dabble i n different areas of knowle dge. Mastery of knowle dge not only t o have knowle dge to rational analys is. T his on requirements w e, not only to le arning national of route , and approach, a nd policy, als o to lear ning national of legal, and regulati ons ; not only to wit h political t heory armed mind, al so to wit h economic the ory gui de work ; not only to rea d hist ory, al so to rea d hist ory; not only to a bs orpti on SM of mirror, also t o gets is of roa d; not only t o from local lear n, als o to to outsi de learn; not only to t o books lear n, als o to field st udy lear n.

Therefore, I would e ncourage you, and more to the out side w orld w hen I have time to take a look at, take a stroll, outside devel opme nts, learn other

people's development approa ch, a nd t hen come back to g uide our w ork. Second, we must t hink. "Le arni ng without thought to overshadow, thi nking without learni ng is perilous." We wa nt to foster the chara cter of advancing with the times , forge ahead, often reflect themselves i n ada pting to the new situati on on w hether t here are delays, have a nythi ng to fear in the reform and innovation, whether i n terms of accelerating the devel opment of a relaxation, kee p promisi ng State of mind. I n or der to do investigations, i nvestigations is the road to heaven, God di sposes of the bas e. To wants to real heard trut h, and justi ce to trut h, and get truth, re ceive d effectiv enes s, on must in-de pth a ctual, a nd outrea ch, a nd i n-dept h masses , wors hip mas ses for Divisi on, and ma sses heart, with mas ses wit h dis cussi on everyone care of problem, liste ning they of calls, understand they of mood, feel the y of suffering, summary they of experience, concentrate d they of wis dom, es pe cially on masses m ost hope, a nd most urgent,

and most w orries, a nd most com plaine d of hot, and difficultie s and focus problem, more to a ctive resear ch, caug ht not put. Dare t o innovate, in our w ork, often remain "the old way doe sn't work , the new approa ch w oul d not" sit uation, the reas on, t he key is that many people know that copyi ng other pe ople' s ideas , mechanically, using some one el se's old ways. To cha nge this predi cament, re quires us to break the s hackl es of traditional concept s to overcome cons ervative, conformist, good at finding ne w problems a nd to a cce pt ne w thing s, summarize new experience, new idea s, devel opi ng new programmes a nd Maveri ck, a new approa ch to s olve pr oblem s, speed up development. Es pe cially in impl ement s uperi or policy s pirit of proces s in the , bot h implementati on, a nd cannot mechani call y, to to extraordi nary of courage a nd develop enter prising of spirit, put flexibility a nd pri nci pl e combi ned up, put s uperi or of s pirit and l ocal reality combi ned up, Yong conspiracy t o breakthr oug h of poli cy, and exer cise

innovati on of lift, devel ope d out devel opme nt works of, and grass -root s welcomes of

difficult, not hating ; bluepri nts, not rhetori c; w ords a nd sim ple, but full of love, tr uth, pa ssi on, e ntrepre neuria l pass ion.

Take this opport unit y, my inspirati onal quotes Li Da zha o's cl assi c "iron s pe cialise i n uplifting ble nd wit h the article" gave everyone, w ith a view on how to do well under t he new situation of tow ns hip and village lea ders i nspire and hel p, and als o share w ith you. A good play to create iron shoul ders strong arms, to as sume t he burde n be pa sse d; only specific qualitie s, will it be possi ble i n spe cific area s to create a w orld.

In my view, village chiefs i n the ne w situation, we must first have five basic qualit y. One ambiti on i s to pi onee r. "Who is handsome ." People only high -minded can stim ulate the flow of momentum to become brave and persi stent, become qui et and pow erful. Townshi p and village party "leaders", withi n their res pective j uri s dicti ons , polit ical stability a nd e conomi c and social devel opme nt iss ues, deci sions and ori entation de pends to a large extent beca use of

your. Everybody i n village chiefs and the positions, both the trust of the mas ses, the Organi zation' s trust, more a bility to you, fully affirmed the moral a nd ot her qualities .

Therefore, we must always maintai n the histori cal missi on a nd s ocial re spons ibilit y, and our ideal tree rooted i n the hard work of the soil, with indomitable spirit, indomitable courage to open up a new situati on of villages and tow ns. To have a feeli ng of closeness to t he se cond. "The pe ople a nd country." Our busi ness foundation in the pe ople' s blood i n the people power people. Adva nce d de cisi ons of the party ca dres to the feeli ngs of the people is a n eternal t heme. Fan Zhong -yan, calle d "first, and enj oy comfort about other s", Zheng Ba nqia o's als o wrote a "Ya Chai lay liste ning t o the rustling of bam boo, the s us pect is suffering. Cao County officials, little my, a total t urn off.

"Old of feudal official ev en has so feeling s, alone we i s to" serving "for purposes of people serva nt doe s? we more s hould alway s hol d wit h on people of

deep feeli ngs, heart Departme nt masses of leading visite d tea, care mas ses of emotions thoughts compl aine d, always i nsisted put mas ses of interest s put i n first, consciously from itself do up, from small do up, from masses most care, a nd most directl y, and most reality of interest s problem grabbe d, real do love for pe opl e by De partment, and right for pe opl e by wit h, a nd Lee for people by conspira cy to. Thre e with the fame of mind. "Non-indifferent not insist your dream, without s erenity not go far." Asce nsi on to fame is moralit y, is the sublimation of the soul. As Tow ns hip a nd village , be s ure to maintain a normal state of mind, establi sh a corre ct viewpoint on power, position and values a nd Outl ook, as fame is light l ike water, depe ndi ng ... 5 0 km, also red a nd l ike hundre ds of thousands of the KMT military combat, but he w ent on to colle ct a variety of news paper s and magazi nes, and the n race agai nst time to pore over. As long as the study of mind, it is not ne ces sary to come to the li brary, w orks hops,

into the village s, pe opl e learne d farming techniques, problem-s olving met hods, parti cipati on in

∴q 是 p 是必要不充分条件, 即 p 是 q 的充分不必要条件,即 p?q 且 qD?/p, ∴{x|-2≤x≤10}是{x|1-m≤x≤1+m,m>0}的真子集,

m>0, ∴ 1-m<-2,
1+m≥10,

m>0, 或 1-m≤-2,
1+m>10.

即 m≥9 或 m>9.

∴m≥9.∴实数 m 的取值范围为 m≥9.

B 组 专项能力提升

(时间:25 分钟)

1.“a=1”是“函数 f(x)=|x-a|在区间[1,+∞)上为增函数”的 A.充分不必要条件 B.必要不充分条件 C.充要条件 D.既不充分也不必要条件 答案 A

()

解析 若“a=1”,则函数 f(x)=|x-a|=|x-1|在区间[1,+∞)上为增函数;而若 f(x)=

|x-a|在区间[1,+∞)上为增函数,则 0≤a≤1,所以“a=1”是“函数 f(x)=|x-a|在区

间[1,+∞)上为增函数”的充分不必要条件,选 A.

2. 下列命题的否定中真命题的个数是

()

①p:当 Δ<0 时,方程 ax2+bx+c=0(a≠0,a,b,c∈R)无实根;

②q:存在一个整数 b,使函数 f(x)=x2+bx+1 在[0,+∞)上是单调函数;

③r:存在 x∈R,使 x2+x+1≥0 不成立.

A.0

B.1

C.2

D.3

答案 B

解析 由于命题 p 是真命题,∴命题①的否定是假命题;

命题 q 是真命题,∴命题②的否定是假命题;

命题 r 是假命题,∴命题③的否定是真命题.

故只有一个是正确的,故选 B. 3. 已知集合 M={x|x=a2-3a+2,a∈R},N={x|y=log2(x2+2x-3)},则 M∩N=________.

confere nces , learne d superi ors policie s; reports, you ca n learn t o deal wit h problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd the scope of the study. T he complexity and comprehensive nes s of our w ork, deci ded to not only do we want to be "profes sionals", or if "generalists", to dabble i n different areas of knowle dge. Mastery of knowle dge not only t o have knowle dge to rational analys is. T his on requirements w e, not only to le arning national of route , and approach, a nd policy, als o to lear ning national of legal, and regulati ons ; not only to wit h political t heory armed mind, al so to wit h economic the ory gui de work ; not only to rea d hist ory, al so to rea d hist ory; not only to a bs orpti on SM of mirror, also t o gets is of roa d; not only t o from local lear n, als o to to outsi de learn; not only to t o books lear n, als o to field st udy lear n.

Therefore, I would e ncourage you, and more to the out side w orld w hen I have time to take a look at, take a stroll, outside devel opme nts, learn other

people's development approa ch, a nd t hen come back to g uide our w ork. Second, we must t hink. "Le arni ng without thought to overshadow, thi nking without learni ng is perilous." We wa nt to foster the chara cter of advancing with the times , forge ahead, often refle ct themselves i n ada pting to the new situati on on w hether t here are delays, have a nythi ng to fear in the reform and innovatio n, whether i n terms of accelerating the devel opment of a relaxation, kee p promisi ng State of mind. I n or der to do investigations, i nvestigations is the road to heaven, God di sposes of the bas e. To wants to real heard trut h, and justi ce to trut h, and get t ruth, re ceive d effectivenes s, on must in -de pth a ctual, a nd outrea ch, a nd i n-dept h masses , wors hip mas ses for Divisi on, and ma sses heart, with mas ses wit h dis cussi on everyone care of problem, liste ning they of calls, understand they of mood, feel the y of suffering, summary they of experience, concentrate d they of wis dom, es pe cially on masses m ost hope, a nd most urgent,

and most w orries, a nd most com plaine d of hot, and difficultie s and focus problem, more to a ctive resear ch, caug ht not put. Dare t o innovate, in our w ork, often remain "the old way doe sn't work , the new approa ch w oul d not" sit uation, the reas on, t he key is that many people know that copyi ng other pe ople' s ideas , mechanically, using some one el se's old ways. To cha nge this predi cament, re quires us to break the s hackl es of traditional concept s to overcome cons ervative, conformist, good at finding ne w problems a nd to a cce pt ne w thing s, summarize new experience, new idea s, devel opi ng new programmes a nd Maveri ck, a new approa ch to s olve pr oblem s, speed up development. Es pe cially in impl ement s uperi or policy s pirit of proces s in the , bot h implementati on, a nd cannot mechani call y, to to extraordi nary of courage a nd develop enter prising of spirit, put flexibility a nd pri nci pl e combi ned up, put s uperi or of s pirit and l ocal reality combi ned up, Yong conspiracy t o breakthr oug h of poli cy, and exer cise

innovati on of lift, devel ope d out devel opme nt works of, and grass -root s welcomes of

difficult, not hating ; bluepri nts, not rhetori c; w ords a nd sim ple, but full of love, tr uth, pa ssi on, e ntrepre neuria l pass ion.

Take this opport unit y, my inspirati onal quotes Li Da zha o's cl assi c "iron s pe cialise i n uplifting ble nd wit h the article" gave everyone, w ith a view on how to do well under t he new situation of tow ns hip and village lea ders i nspire and hel p, and als o share w ith you. A good play to create iron shoul ders strong arms, to as sume t he burde n be pa sse d; only specific qualitie s, will it be possi ble i n spe cific area s to create a w orld.

In my view, village chiefs i n the ne w situation, we must first have five basic qualit y. One ambiti on i s to pi onee r. "Who is handsome ." People only high -minded can stim ulate the flow of momentum to become brave and persi stent, become qui et and pow erful. Townshi p and village party "leaders", withi n their res pective j uris dicti ons , polit ical stability a nd e conomi c and social devel opme nt iss ues, deci sions and ori entation de pends to a large extent beca use of

your. Everybody i n village chiefs and the positions, both the trust of the mas ses, the Organi zation' s trust, more a bility to you, fully affirmed the moral a nd ot her qualities .

Therefore, we must always maintai n the histori cal missi on a nd s ocial re spons ibilit y, and our ideal tree rooted i n the hard work of the soil, with indomitable spirit, indomitable courage to open up a new situati on of villages and tow ns. To have a feeli ng of closeness to t he se cond. "The pe ople a nd country." Our busi ness foundation in the pe ople' s blood i n the people power people. Adva nce d de cisi ons of the party ca dres to the feeli ngs of the people is a n eternal t heme. Fan Zhong -yan, calle d "first, and enj oy comfort about other s", Zheng Ba nqia o's als o wrote a "Ya Chai lay liste ning t o the rustling of bam boo, the s us pect is suffering. Cao County officials, little my, a total t urn off.

"Old of feudal official ev en has so feeling s, alone we i s to" serving "for purposes of people serva nt doe s? we more s hould alway s hol d with on people of

deep feeli ngs, heart Departme nt masses of leading visite d tea, care mas ses of emotions thoughts compl aine d, always i nsisted put mas ses of interest s put i n first, consciously from itself do up, from small do up, from masses most care, a nd most directl y, and most reality of interest s problem grabbe d, real do love for pe opl e by De partment, and right for pe opl e by with, a nd Lee for people by conspira cy to. Thre e with the fame of mind. "Non-indifferent not insist your dream, without s erenity not go far." Asce nsi on to fame is moralit y, is the sublimation of the soul. As Tow ns hip a nd village , be s ure to maintain a normal state of mind, establi sh a corre ct viewpoint on power, position and values a nd Outl ook, as fame is light l ike water, depe ndi ng ... 5 0 km, also red a nd l ike hundre ds of thousands of the KMT military combat, but he w ent on to colle ct a variety of news paper s and magazi nes, and the n race agai nst time t o pore over. As long as the study of mind, it is not ne ces sary to come to the li brary, w orks hops,

into the village s, pe opl e learne d farming techniques, problem-s olving met hods, parti cipati on in

答案 {x|x>1}
解析 ∵a2-3a+2=a-322-14≥-14,
∴M=x|x≥-14; 由 x2+2x-3>0,即(x-1)(x+3)>0,

解得 x>1 或 x<-3,故 N={x|x>1 或 x<-3}.
∴M∩N={x|x>1}. 4. 若 x∈A,则1x∈A,就称 A 是伙伴关系集合,集合 M=-1,0,13,12,1,2,3,4的所
有非空子集中,具有伙伴关系的集合的个数为________. 答案 15 解析 子集只有 1 个元素的有{-1},{1}共 2 个; 子集有 2 个元素的有{-1,1},{13,3},{12,2},共 3 个; 子集有 3 个元素的有{-1,13,3},{-1,12,2},{1,13,3},{1,12,2},共 4 个; 子集有 4 个元素的有{-1,1,13,3},{-1,1,12,2},{2,12,13,3},共 3 个; 子集有 5 个元素的有{-1,2,12,13,3},{1,2,12,13,3},共 2 个; 子集有 6 个元素的有{-1,1,2,12,13,3},共有 1 个,共 15 个.
5. 已知命题 p:函数 f(x)=lgax2-x+116a的定义域为 R;命题 q:不等式 2x+1<1+ax
对一切正实数 x 均成立.如果命题 p 或 q 为真,p 且 q 为假,求实数 a 的取值范围. 解 命题 p 为真命题等价于 ax2-x+116a>0 对任意实数 x 均成立.当 a=0 时,-x>0, 其解集不是 R,∴a≠0.

a>0, 于是有1-14a2<0,

解得 a>2,故命题 p 为真命题等价于 a>2.

命题 q 为真命题等价于 a>

2x+1-1

x

= x

2x



2x+1+1

2

对一切实数 x 均成

2x+1+1

confere nces , learne d superi ors policie s; reports, you ca n learn t o deal wit h problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd the scope of the study. T he complexity and comprehensive nes s of our w ork, deci ded to not only do we want to be "profes sionals", or if "generalists", to dabble i n different areas of knowle dge. Mastery of knowle dge not only t o have knowle dge to rational analys is. T his on requirements w e, not only to le arning national of route , and approach, a nd policy, als o to lear ning national of legal, and regulati ons ; not only to wit h political t heory armed mind, al so to wit h economic the ory gui de work ; not only to rea d hist ory, al so to rea d hist ory; not only to a bs orpti on SM of mirror, also t o gets is of roa d; not only t o from local lear n, als o to to outsi de learn; not only to t o books lear n, als o to field st udy lear n.

Therefore, I would e ncourage you, and more to the out side w orld w hen I have time to take a look at, take a stroll, outside devel opme nts, learn other

people's development approa ch, a nd t hen come back to g uide our w ork. Second, we must t hink. "Le arni ng without thought to overshadow, thi nking without learni ng is perilous." We wa nt to foster the chara cter of advancing with the times , forge ahead, often reflect themselves i n ada pting to the new situati on on w hether t here are delays, have a nythi ng to fear in the reform and innovation, whether i n terms of accelerating the devel opment of a relaxation, kee p promisi ng State of mind. I n or der to do investigations, i nvestigations is the road to heaven, God di sposes of the bas e. To wants to real heard trut h, and justi ce to trut h, and get truth, re ceive d effectiv enes s, on must in-de pth a ctual, a nd outrea ch, a nd i n-dept h masses , wors hip mas ses for Divisi on, and ma sses heart, with mas ses wit h dis cussi on everyone care of problem, liste ning they of calls, understand they of mood, feel the y of suffering, summary they of experience, concentrate d they of wis dom, es pe cially on masses m ost hope, a nd most urgent,

and most w orries, a nd most com plaine d of hot, and difficultie s and focus problem, more to a ctive resear ch, caug ht not put. Dare t o innovate, in our w ork, often remain "the old way doe sn't work , the new approa ch w oul d not" sit uation, the reas on, t he key is that many people know that copyi ng other pe ople' s ideas , mechanically, using some one el se's old ways. To cha nge this predi cament, re quires us to break the s hackl es of traditional concept s to overcome cons ervative, conformist, good at finding ne w problems a nd to a cce pt ne w thing s, summarize new experience, new idea s, devel opi ng new programmes a nd Maveri ck, a new approa ch to s olve pr oblem s, speed up development. Es pe cially in impl ement s uperi or policy s pirit of proces s in the , bot h implementati on, a nd cannot mechani call y, to to extraordi nary of courage a nd develop enter prising of spirit, put flexibility a nd pri nci pl e combi ned up, put s uperi or of s pirit and l ocal reality combi ned up, Yong conspiracy t o breakthr oug h of poli cy, and exer cise

innovati on of lift, devel ope d out devel opme nt works of, and grass -root s welcomes of

difficult, not hating ; bluepri nts, not rhetori c; w ords a nd sim ple, but full of love, tr uth, pa ssi on, e ntrepre neuria l pass ion.

Take this opport unit y, my inspirati onal quotes Li Da zha o's cl assi c "iron s pe cialise i n uplifting ble nd wit h the article" gave everyone, w ith a view on how to do well under t he new situation of tow ns hip and village lea ders i nspire and hel p, and als o share w ith you. A good play to create iron shoul ders strong arms, to as sume t he burde n be pa sse d; only specific qualitie s, will it be possi ble i n spe cific area s to create a w orld.

In my view, village chiefs i n the ne w situation, we must first have five basic qualit y. One ambiti on i s to pi onee r. "Who is handsome ." People only high -minded can stim ulate the flow of momentum to become brave and persi stent, become qui et and pow erful. Townshi p and village party "leaders", withi n their res pective j uri s dicti ons , polit ical stability a nd e conomi c and social devel opme nt iss ues, deci sions and ori entation de pends to a large extent beca use of

your. Everybody i n village chiefs and the positions, both the trust of the mas ses, the Organi zation' s trust, more a bility to you, fully affirmed the moral a nd ot her qualities .

Therefore, we must always maintai n the histori cal missi on a nd s ocial re spons ibilit y, and our ideal tree rooted i n the hard work of the soil, with indomitable spirit, indomitable courage to open up a new situati on of villages and tow ns. To have a feeli ng of closeness to t he se cond. "The pe ople a nd country." Our busi ness foundation in the pe ople' s blood i n the people power people. Adva nce d de cisi ons of the party ca dres to the feeli ngs of the people is a n eternal t heme. Fan Zhong -yan, calle d "first, and enj oy comfort about other s", Zheng Ba nqia o's als o wrote a "Ya Chai lay liste ning t o the rustling of bam boo, the s us pect is suffering. Cao County officials, little my, a total t urn off.

"Old of feudal official ev en has so feeling s, alone we i s to" serving "for purposes of people serva nt doe s? we more s hould alway s hol d wit h on people of

deep feeli ngs, heart Departme nt masses of leading visite d tea, care mas ses of emotions thoughts compl aine d, always i nsisted put mas ses of interest s put i n first, consciously from itself do up, from small do up, from masses most care, a nd most directl y, and most reality of interest s problem grabbe d, real do love for pe opl e by De partment, and right for pe opl e by wit h, a nd Lee for people by conspira cy to. Thre e with the fame of mind. "Non-indifferent not insist your dream, without s erenity not go far." Asce nsi on to fame is moralit y, is the sublimation of the soul. As Tow ns hip a nd village , be s ure to maintain a normal state of mind, establi sh a corre ct viewpoint on power, position and values a nd Outl ook, as fame is light l ike water, depe ndi ng ... 5 0 km, also red a nd l ike hundre ds of thousands of the KMT military combat, but he w ent on to colle ct a variety of news paper s and magazi nes, and the n race agai nst time to pore over. As long as the study of mind, it is not ne ces sary to come to the li brary, w orks hops,

into the village s, pe opl e learne d farming techniques, problem-s olving met hods, parti cipati on in

立.

由于 x>0,∴ 2x+1>1, 2x+1+1>2,



2

<1,从而命题 q 为真命题等价于 a≥1.

2x+1+1

根据题意知,命题 p、q 有且只有一个为真命题, 当 p 真 q 假时实数 a 不存在; 当 p 假 q 真时,实数 a 的取值范围是 1≤a≤2.

confere nces , learne d superi ors policie s; reports, you ca n learn t o deal wit h problems, art, j ust wante d to lear n, to lear n at any time. To continuously expa nd the scope of the study. T he complexity and comprehensive nes s of our w ork, deci ded to not only do we want to be "profes sionals", or if "generalists", to dabble i n different areas of knowle dge. Mastery of knowle dge not only t o have knowle dge to rational analys is. T his on requirements w e, not only to le arning national of route , and approach, a nd policy, als o to lear ning national of legal, and regulati ons ; not only to wit h political t heory armed mind, al so to wit h economic the ory gui de work ; not only to rea d hist ory, al so to rea d hist ory; not only to a bs orpti on SM of mirror, also t o gets is of roa d; not only t o from local lear n, als o to to outsi de learn; not only to t o books lear n, als o to field st udy lear n.

Therefore, I would e ncourage you, and more to the out side w orld w hen I have time to take a look at, take a stroll, outside devel opme nts, learn other

people's development approa ch, a nd t hen come back to g uide our w ork. Second, we must t hink. "Le arni ng without thought to overshadow, thi nking without learni ng is perilous." We wa nt to foster the chara cter of advancing with the times , forge ahead, often refle ct themselves i n ada pting to the new situati on on w hether t here are delays, have a nythi ng to fear in the reform and innovatio n, whether i n terms of accelerating the devel opment of a relaxation, kee p promisi ng State of mind. I n or der to do investigations, i nvestigations is the road to heaven, God di sposes of the bas e. To wants to real heard trut h, and justi ce to trut h, and get t ruth, re ceive d effectivenes s, on must in -de pth a ctual, a nd outrea ch, a nd i n-dept h masses , wors hip mas ses for Divisi on, and ma sses heart, with mas ses wit h dis cussi on everyone care of problem, liste ning they of calls, understand they of mood, feel the y of suffering, summary they of experience, concentrate d they of wis dom, es pe cially on masses m ost hope, a nd most urgent,

and most w orries, a nd most com plaine d of hot, and difficultie s and focus problem, more to a ctive resear ch, caug ht not put. Dare t o innovate, in our w ork, often remain "the old way doe sn't work , the new approa ch w oul d not" sit uation, the reas on, t he key is that many people know that copyi ng other pe ople' s ideas , mechanically, using some one el se's old ways. To cha nge this predi cament, re quires us to break the s hackl es of traditional concept s to overcome cons ervative, conformist, good at finding ne w problems a nd to a cce pt ne w thing s, summarize new experience, new idea s, devel opi ng new programmes a nd Maveri ck, a new approa ch to s olve pr oblem s, speed up development. Es pe cially in impl ement s uperi or policy s pirit of proces s in the , bot h implementati on, a nd cannot mechani call y, to to extraordi nary of courage a nd develop enter prising of spirit, put flexibility a nd pri nci pl e combi ned up, put s uperi or of s pirit and l ocal reality combi ned up, Yong conspiracy t o breakthr oug h of poli cy, and exer cise

innovati on of lift, devel ope d out devel opme nt works of, and grass -root s welcomes of



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