高考数学选择题例题与训练(数形结合法专题)

高考数学选择题例题与训练(数形结合法专题) 高考数学选择题例题与训练(数形结合专题) 画出图形或者图象能够使问题提供的信息更直观地呈现～从而大大降低思维难度～是解决数学问题的有力策略～这种方法使用得非常之多。 x,1【例题】、设函数定义在实数集上，它的图象关于直线对fx() xx,1称，且当时，，则有( )。 fx()31,, 132231A、 B、 fff()()(),,fff()()(),,323323 213321 C、 D( fff()()(),,fff()()(),,332233 xx,1【解析】、当时，，的 fx()fx()31,, x,1图象关于直线对称，则图象如图所示。 这个图象是个示意图，事实上，就算画出 的图象代替它也可以。由图知， fxx()|1|,, 符合要求的选项是B， 22【练习1】、若P(2，-1)为圆的弦AB的中点，则(1)25xy,，, 直线AB的方程是( ) A、 B、 C、 D、 xy,,,30230xy，,,xy，,,10250xy,,, (提示:画出圆和过点P的直线，再看四条直线的斜率，即可知选A) xy,，,20, y,x,1yx【练习2】、已知变量、满足约束条件，则的取,x,xy，,,70, 值范围是( ) 99，，,，,,，,,36,:3,6A、 B、 C、 D、 ,6,,，,,6,:，，,,,,，,,,,,55，，,， reading professional language literature, assist clinical teaching (theory class and internship class) participation clinical research activities. (Six) emergency ICU 1. Rotary purpose master: shock, and acute organ function failure, and more organ function obstacles integrated levy, and heart sudden stopped, and breathing sudden stopped, and serious humoral within environment disorder, critical illness of causes, and pathology physiological, and clinical performance, and diagnosis, and identification diagnosis and treatment common life support technology (as cycle breathing support, and nutrition support,) and emergency technology of application; Various monitoring equipment and rescue equipment (such as defibrillators, ventilators) operation and applications; Common monitoring techniques (such as body temperature, SpO2, end-expiratory carbon dioxide partial pressure, ECG, blood pressure, blood gas analysis, and so on) operation and application. Familiar: blood purification techniques, such as blood flow, CRRT, Swan-Ganz catheter indications, how and cardiac output monitoring; Artificial low temperature indication and implementation. About: Intra-Aortic Balloon counterpulsation (IABP) indications and methods of operation. 2. basic requirements: (1) learning disease species and the cases number requirements: disease on contract number (?) various organ function not full 10 acute breathing distress integrated levy (ARDS) more than 2 more organ function obstacles integrated levy (MODS) 5 shock 5 heart sudden stopped, and breathing sudden stopped 2 (2) clinical operation technology requirements: clinical operation technology name contract times (?) guardianship instrument using 30 by skin Center vein reset tube operation 5 by skin outside week artery puncture reset tube operation 2 artery blood 10 breathing machine using 10 electricweek artery puncture reset tube operation 2 artery blood 10 breathing machine using 10 electric except fibrillation and complex law 2 3. high requirements ( 1) disease and number of contracts number of disease syndrome after cardiopulmonary resuscitation in multiple organ dysfunction syndrome more than 2 2 (2) clinical knowledge, skills required: clinical operations technical contract blood purification technique 2 people ... ... (1) the number of species and number of cases (?) gallstone 2 peptic ulcer .... 2. basic requirements (1) learning disease species and the cases number requirements: anesthesia implementation and management contract number (?) local infiltration anesthesia of management 2 vertebral tube anesthesia of management 10 body anesthesia of management 10 (2) clinical operation technology requirements: clinical operation technology name contract times (?) around neural block operation 2 supporting jaw method (open gas road) 10 technique artificial ventilation (using anesthesia machine) 5 ball SAC-mask breathing device 5 fast tracheal within intubation operation 10 artery puncture reset tube operation 5 heart electric monitoring 10 pulse oxygen monitoring 10 has create blood pressure monitoring 10 3. high requirements (1) learning disease species and the cases number requirements: anesthesia implementation and management contract number vertebral tube anesthesia of implementation 2 body anesthesia of implementation 2 arm bundle neural block 2 (2) clinical knowledge, and skills requirements: clinical operation technology name contract times mechanical ventilation (anesthesia breathing machine) 10 control sex low blood pressure 2 by skin Center vein puncture reset tube 2 (3) language, and teaching, and research, capacity of requirements: y(提示:把看作可行域内的点与原点所在直线的斜率，不难求得答x 案 ，选A。) 2yxx,，,,,14(2,2)【练习3】、曲线 ,, 与直线有两个公共点时， ykx,,，(2)4 k的取值范围是( ) 511A、(,)(0,) B、 4312 553(,)，, C、 D、 (,)12124 2yxx,，,,,14(2,2)(提示:事实上不难看出，曲线方程的图,, 22象为， 表 关于同志近三年现实表现材料材料类招标技术评分表图表与交易pdf视力表打印pdf用图表说话 pdf 示以(1，0)为圆心，2为半xyxy，,,,,,,,(1)4(22,13) 径的上半圆，如图。直线过定点(2，4)，那么斜率的范ykx,,，(2)4围就清楚了，选D)] 【练习4】、函数在区间 y,|x|(1,x) A上是增函数，则区间A是( ) 1，，A、 B、 ，,,,,00,,,2，， 1,, C、,， D、 0,，,,，,,,2,, (提示:作出该函数的图象如右，知应该选B) |x||y|,,1【练习5】、曲线与直线y,2x，m 23 m有两个交点，则的取值范围是( ) m,4m,,4,4,m,4A、或 B、 reading professional language literature, assist clinical teaching (theory class and internship class) participation clinical research activities. (Six) emergency ICU 1. Rotary purpose master: shock, and acute organ function failure, and more organ function obstacles integrated levy, and heart sudden stopped, and breathing sudden stopped, and serious humoral within environment disorder, critical illness of causes, and pathology physiological, and clinical performance, and diagnosis, and identification diagnosis and treatment common life support technology (as cycle breathing support, and nutrition support,) and emergency technology of application; Various monitoring equipment and rescue equipment (such as defibrillators, ventilators) operation and applications; Common monitoring techniques (such as body temperature, SpO2, end-expiratory carbon dioxide partial pressure, ECG, blood pressure, blood gas analysis, and so on) operation and application. Familiar: blood purification techniques, such as blood flow, CRRT, Swan-Ganz catheter indications, how and cardiac output monitoring; Artificial low temperature indication and implementation. About: Intra-Aortic Balloon counterpulsation (IABP) indications and methods of operation. 2. basic requirements: (1) learning disease species and the cases number requirements: disease on contract number (?) various organ function not full 10 acute breathing distress integrated levy (ARDS) more than 2 more organ function obstacles integrated levy (MODS) 5 shock 5 heart sudden stopped, and breathing sudden stopped 2 (2) clinical operation technology requirements: clinical operation technology name contract times (?) guardianship instrument using 30 by skin Center vein reset tube operation 5 by skin outside week artery puncture reset tube operation 2 artery blood 10 breathing machine using 10 electricweek artery puncture reset tube operation 2 artery blood 10 breathing machine using 10 electric except fibrillation and complex law 2 3. high requirements ( 1) disease and number of contracts number of disease syndrome after cardiopulmonary resuscitation in multiple organ dysfunction syndrome more than 2 2 (2) clinical knowledge, skills required: clinical operations technical contract blood purification technique 2 people ... ... (1) the number of species and number of cases (?) gallstone 2 peptic ulcer .... 2. basic requirements (1) learning disease species and the cases number requirements: anesthesia implementation and management contract number (?) local infiltration anesthesia of management 2 vertebral tube anesthesia of management 10 body anesthesia of management 10 (2) clinical operation technology requirements: clinical operation technology name contract times (?) around neural block operation 2 supporting jaw method (open gas road) 10 technique artificial ventilation (using anesthesia machine) 5 ball SAC-mask breathing device 5 fast tracheal within intubation operation 10 artery puncture reset tube operation 5 heart electric monitoring 10 pulse oxygen monitoring 10 has create blood pressure monitoring 10 3. high requirements (1) learning disease species and the cases number requirements: anesthesia implementation and management contract number vertebral tube anesthesia of implementation 2 body anesthesia of implementation 2 arm bundle neural block 2 (2) clinical knowledge, and skills requirements: clinical operation technology name contract times mechanical ventilation (anesthesia breathing machine) 10 control sex low blood pressure 2 by skin Center vein puncture reset tube 2 (3) language, and teaching, and research, capacity of requirements: m,3m,,3,3,m,3C、或 D、 (提示:作出曲线的图象如右，因为直线 m,4m,,4与其有两个交点，则或，选A) y,2x，m xa,'【练习6】、设函数，集合，，fx(),Mxfx,|()0,Pxfx,|()0,,,,,x,1 MP,若，则实数的取值范围是( ) a A、 B、 C、 D、 (,1),,(0,1)(1,)，,[1,)，,(提示:数形结合，先画出的图象。fx() xaxaa,,，,,111a,1a,1。当时，图象如左;当时图象fx()1,,,，xxx,,,111 如右。 'a,1由图象知，当时函数在上递增，，同时fx()(1,)，,fx()0, 的解集为的真子集，选C) fx()0,(1,)，, 22【练习7】、若圆上至少有三个不同的点到直线xyxy，,,,,44100 l,22laxby:0，,的距离为，则直线的倾斜角的取值范围是( ) ,,,,5,,,，，，，，，，，A、 B、 C、 D、 ,,0,,,,,,,,,,2124631212，，，，，，，， (提示:数形结合，先画出圆的图形。圆方程化为 reading professional language literature, assist clinical teaching (theory class and internship class) participation clinical research activities. (Six) emergency ICU 1. Rotary purpose master: shock, and acute organ function failure, and more organ function obstacles integrated levy, and heart sudden stopped, and breathing sudden stopped, and serious humoral within environment disorder, critical illness of causes, and pathology physiological, and clinical performance, and diagnosis, and identification diagnosis and treatment common life support technology (as cycle breathing support, and nutrition support,) and emergency technology of application; Various monitoring equipment and rescue equipment (such as defibrillators, ventilators) operation and applications; Common monitoring techniques (such as body temperature, SpO2, end-expiratory carbon dioxide partial pressure, ECG, blood pressure, blood gas analysis, and so on) operation and application. Familiar: blood purification techniques, such as blood flow, CRRT, Swan-Ganz catheter indications, how and cardiac output monitoring; Artificial low temperature indication and implementation. About: Intra-Aortic Balloon counterpulsation (IABP) indications and methods of operation. 2. basic requirements: (1) learning disease species and the cases number requirements: disease on contract number (?) various organ function not full 10 acute breathing distress integrated levy (ARDS) more than 2 more organ function obstacles integrated levy (MODS) 5 shock 5 heart sudden stopped, and breathing sudden stopped 2 (2) clinical operation technology requirements: clinical operation technology name contract times (?) guardianship instrument using 30 by skin Center vein reset tube operation 5 by skin outside week artery puncture reset tube operation 2 artery blood 10 breathing machine using 10 electricweek artery puncture reset tube operation 2 artery blood 10 breathing machine using 10 electric except fibrillation and complex law 2 3. high requirements ( 1) disease and number of contracts number of disease syndrome after cardiopulmonary resuscitation in multiple organ dysfunction syndrome more than 2 2 (2) clinical knowledge, skills required: clinical operations technical contract blood purification technique 2 people ... ... (1) the number of species and number of cases (?) gallstone 2 peptic ulcer .... 2. basic requirements (1) learning disease species and the cases number requirements: anesthesia implementation and management contract number (?) local infiltration anesthesia of management 2 vertebral tube anesthesia of management 10 body anesthesia of management 10 (2) clinical operation technology requirements: clinical operation technology name contract times (?) around neural block operation 2 supporting jaw method (open gas road) 10 technique artificial ventilation (using anesthesia machine) 5 ball SAC-mask breathing device 5 fast tracheal within intubation operation 10 artery puncture reset tube operation 5 heart electric monitoring 10 pulse oxygen monitoring 10 has create blood pressure monitoring 10 3. high requirements (1) learning disease species and the cases number requirements: anesthesia implementation and management contract number vertebral tube anesthesia of implementation 2 body anesthesia of implementation 2 arm bundle neural block 2 (2) clinical knowledge, and skills requirements: clinical operation technology name contract times mechanical ventilation (anesthesia breathing machine) 10 control sex low blood pressure 2 by skin Center vein puncture reset tube 2 (3) language, and teaching, and research, capacity of requirements: 222，由题意知，圆心到直线 (2)(2)(32)xy,，,, d的距离应该满足，在已知圆中画一个半 02,,d 径为的同心圆，则过原点的直线与小圆有公共点，?选2laxby:0，, B。) 【练习8】、若非零向量a，b满足|a-b|=| b |，则( ) A、|2b| , | a-2b | B、|2b| , | a-2b | C、|2a| , | 2a-b | D、|2a| , | 2a-b | (提示:关键是要画出向量a，b的关系图，为此 2,先把条件进行等价转换。|a-b|=| b ||a-b|= 2222,,,| b | a+b-2a?b= b a?(a-2b)=0 a?(a-2b)，又a-(a-2b)=2b，所以|a|，| a-2b |， |2b|为边长构成直角三角形，|2b|为斜边，如上图， ?|2b| , | a-2b |，选A。 另外也可以这样解:先构造等腰?OAB，使OB=AB， 再构造R?OAC，如下图，因为OC,AC，所以选A。) 【练习9】、方程cosx=lgx的实根的个数是( ) A、1 B、2 C、3 D、4 (提示:在同一坐标系中分别画出函数cosx与lgx的图象，如reading professional language literature, assist clinical teaching (theory class and internship class) participation clinical research activities. (Six) emergency ICU 1. Rotary purpose master: shock, and acute organ function failure, and more organ function obstacles integrated levy, and heart sudden stopped, and breathing sudden stopped, and serious humoral within environment disorder, critical illness of causes, and pathology physiological, and clinical performance, and diagnosis, and identification diagnosis and treatment common life support technology (as cycle breathing support, and nutrition support,) and emergency technology of application; Various monitoring equipment and rescue equipment (such as defibrillators, ventilators) operation and applications; Common monitoring techniques (such as body temperature, SpO2, end-expiratory carbon dioxide partial pressure, ECG, blood pressure, blood gas analysis, and so on) operation and application. Familiar: blood purification techniques, such as blood flow, CRRT, Swan-Ganz catheter indications, how and cardiac output monitoring; Artificial low temperature indication and implementation. About: Intra-Aortic Balloon counterpulsation (IABP) indications and methods of operation. 2. basic requirements: (1) learning disease species and the cases number requirements: disease on contract number (?) various organ function not full 10 acute breathing distress integrated levy (ARDS) more than 2 more organ function obstacles integrated levy (MODS) 5 shock 5 heart sudden stopped, and breathing sudden stopped 2 (2) clinical operation technology requirements: clinical operation technology name contract times (?) guardianship instrument using 30 by skin Center vein reset tube operation 5 by skin outside week artery puncture reset tube operation 2 artery blood 10 breathing machine using 10 electricweek artery puncture reset tube operation 2 artery blood 10 breathing machine using 10 electric except fibrillation and complex law 2 3. high requirements ( 1) disease and number of contracts number of disease syndrome after cardiopulmonary resuscitation in multiple organ dysfunction syndrome more than 2 2 (2) clinical knowledge, skills required: clinical operations technical contract blood purification technique 2 people ... ... (1) the number of species and number of cases (?) gallstone 2 peptic ulcer .... 2. basic requirements (1) learning disease species and the cases number requirements: anesthesia implementation and management contract number (?) local infiltration anesthesia of management 2 vertebral tube anesthesia of management 10 body anesthesia of management 10 (2) clinical operation technology requirements: clinical operation technology name contract times (?) around neural block operation 2 supporting jaw method (open gas road) 10 technique artificial ventilation (using anesthesia machine) 5 ball SAC-mask breathing device 5 fast tracheal within intubation operation 10 artery puncture reset tube operation 5 heart electric monitoring 10 pulse oxygen monitoring 10 has create blood pressure monitoring 10 3. high requirements (1) learning disease species and the cases number requirements: anesthesia implementation and management contract number vertebral tube anesthesia of implementation 2 body anesthesia of implementation 2 arm bundle neural block 2 (2) clinical knowledge, and skills requirements: clinical operation technology name contract times mechanical ventilation (anesthesia breathing machine) 10 control sex low blood pressure 2 by skin Center vein puncture reset tube 2 (3) language, and teaching, and research, capacity of requirements: 图， 由两个函数图象的交点的个数为3，知应选C) ABBC::,【练习10】、若A、B、C为三个集合，，则一定有( ) AC,CA,AC,A,,A、 B、 C、 D、 ABC,,,,(提示:若，则 ABABCBA::,,,, 成立，排除C、D选项，作出Venn图，可知A成立) 【练习11】、在R上定义的函数是偶函数，且。fxfx()(2),,fx() 若在区间[1，2]上是减函数，则( ) fx()fx() A、在区间[-2，-1]上是增函数，在区间[3，4]上是增函数 B、在区间[-2，-1]上是增函数，在区间[3，4]上是减函数 C、在区间[-2，-1]上是减函数，在区间[3，4]上是增函数 D、在区间[-2，-1]上是减函数，在区间[3，4]上是减函数 (提示:数形结合法，是抽象函数，因此画出其简单图象即fx() 可得出结论，如下左图知选B) reading professional language literature, assist clinical teaching (theory class and internship class) participation clinical research activities. (Six) emergency ICU 1. Rotary purpose master: shock, and acute organ function failure, and more organ function obstacles integrated levy, and heart sudden stopped, and breathing sudden stopped, and serious humoral within environment disorder, critical illness of causes, and pathology physiological, and clinical performance, and diagnosis, and identification diagnosis and treatment common life support technology (as cycle breathing support, and nutrition support,) and emergency technology of application; Various monitoring equipment and rescue equipment (such as defibrillators, ventilators) operation and applications; Common monitoring techniques (such as body temperature, SpO2, end-expiratory carbon dioxide partial pressure, ECG, blood pressure, blood gas analysis, and so on) operation and application. Familiar: blood purification techniques, such as blood flow, CRRT, Swan-Ganz catheter indications, how and cardiac output monitoring; Artificial low temperature indication and implementation. About: Intra-Aortic Balloon counterpulsation (IABP) indications and methods of operation. 2. basic requirements: (1) learning disease species and the cases number requirements: disease on contract number (?) various organ function not full 10 acute breathing distress integrated levy (ARDS) more than 2 more organ function obstacles integrated levy (MODS) 5 shock 5 heart sudden stopped, and breathing sudden stopped 2 (2) clinical operation technology requirements: clinical operation technology name contract times (?) guardianship instrument using 30 by skin Center vein reset tube operation 5 by skin outside week artery puncture reset tube operation 2 artery blood 10 breathing machine using 10 electricweek artery puncture reset tube operation 2 artery blood 10 breathing machine using 10 electric except fibrillation and complex law 2 3. high requirements ( 1) disease and number of contracts number of disease syndrome after cardiopulmonary resuscitation in multiple organ dysfunction syndrome more than 2 2 (2) clinical knowledge, skills required: clinical operations technical contract blood purification technique 2 people ... ... (1) the number of species and number of cases (?) gallstone 2 peptic ulcer .... 2. basic requirements (1) learning disease species and the cases number requirements: anesthesia implementation and management contract number (?) local infiltration anesthesia of management 2 vertebral tube anesthesia of management 10 body anesthesia of management 10 (2) clinical operation technology requirements: clinical operation technology name contract times (?) around neural block operation 2 supporting jaw method (open gas road) 10 technique artificial ventilation (using anesthesia machine) 5 ball SAC-mask breathing device 5 fast tracheal within intubation operation 10 artery puncture reset tube operation 5 heart electric monitoring 10 pulse oxygen monitoring 10 has create blood pressure monitoring 10 3. high requirements (1) learning disease species and the cases number requirements: anesthesia implementation and management contract number vertebral tube anesthesia of implementation 2 body anesthesia of implementation 2 arm bundle neural block 2 (2) clinical knowledge, and skills requirements: clinical operation technology name contract times mechanical ventilation (anesthesia breathing machine) 10 control sex low blood pressure 2 by skin Center vein puncture reset tube 2 (3) language, and teaching, and research, capacity of requirements: 132x,【练习12】、方程x,的解的取值区间是( ) ()x02 A、(0，1) B、(1，2) C、(2，3) D、(3，4) 132x,(提示:数形结合，在同一坐标系中作出函数yxy,,的图,()2 象，则立刻知选B，如上右图) reading professional language literature, assist clinical teaching (theory class and internship class) participation clinical research activities. (Six) emergency ICU 1. Rotary purpose master: shock, and acute organ function failure, and more organ function obstacles integrated levy, and heart sudden stopped, and breathing sudden stopped, and serious humoral within environment disorder, critical illness of causes, and pathology physiological, and clinical performance, and diagnosis, and identification diagnosis and treatment common life support technology (as cycle breathing support, and nutrition support,) and emergency technology of application; Various monitoring equipment and rescue equipment (such as defibrillators, ventilators) operation and applications; Common monitoring techniques (such as body temperature, SpO2, end-expiratory carbon dioxide partial pressure, ECG, blood pressure, blood gas analysis, and so on) operation and application. Familiar: blood purification techniques, such as blood flow, CRRT, Swan-Ganz catheter indications, how and cardiac output monitoring; Artificial low temperature indication and implementation. About: Intra-Aortic Balloon counterpulsation (IABP) indications and methods of operation. 2. basic requirements: (1) learning disease species and the cases number requirements: disease on contract number (?) various organ function not full 10 acute breathing distress integrated levy (ARDS) more than 2 more organ function obstacles integrated levy (MODS) 5 shock 5 heart sudden stopped, and breathing sudden stopped 2 (2) clinical operation technology requirements: clinical operation technology name contract times (?) guardianship instrument using 30 by skin Center vein reset tube operation 5 by skin outside week artery puncture reset tube operation 2 artery blood 10 breathing machine using 10 electricweek artery puncture reset tube operation 2 artery blood 10 breathing machine using 10 electric except fibrillation and complex law 2 3. high requirements ( 1) disease and number of contracts number of disease syndrome after cardiopulmonary resuscitation in multiple organ dysfunction syndrome more than 2 2 (2) clinical knowledge, skills required: clinical operations technical contract blood purification technique 2 people ... ... (1) the number of species and number of cases (?) gallstone 2 peptic ulcer .... 2. basic requirements (1) learning disease species and the cases number requirements: anesthesia implementation and management contract number (?) local infiltration anesthesia of management 2 vertebral tube anesthesia of management 10 body anesthesia of management 10 (2) clinical operation technology requirements: clinical operation technology name contract times (?) around neural block operation 2 supporting jaw method (open gas road) 10 technique artificial ventilation (using anesthesia machine) 5 ball SAC-mask breathing device 5 fast tracheal within intubation operation 10 artery puncture reset tube operation 5 heart electric monitoring 10 pulse oxygen monitoring 10 has create blood pressure monitoring 10 3. high requirements (1) learning disease species and the cases number requirements: anesthesia implementation and management contract number vertebral tube anesthesia of implementation 2 body anesthesia of implementation 2 arm bundle neural block 2 (2) clinical knowledge, and skills requirements: clinical operation technology name contract times mechanical ventilation (anesthesia breathing machine) 10 control sex low blood pressure 2 by skin Center vein puncture reset tube 2 (3) language, and teaching, and research, capacity of requirements: