最新高中数学必修5,必修2公式大全优秀名师资料.doc
《最新高中数学必修5,必修2公式大全优秀名师资料.doc》由会员分享,可在线阅读,更多相关《最新高中数学必修5,必修2公式大全优秀名师资料.doc(25页珍藏版)》请在三一文库上搜索。
1、高中数学必修5,必修2公式大全71.常用不等式: 22(1)(当且仅当a,b时取“=”号)( abab,,2abR,ab,(2)(当且仅当a,b时取“=”号)( ,ababR,2333(3) abcabcabc,,3(0,0,0).(4)柯西不等式 22222 ()()(),.abcdacbdabcdR,,,,(5). a,b,a,b,a,b72.极值定理 已知都是正数,则有 x,y(1)若积是定值,则当时和有最小值; x,yxypx,y2p12s(2)若和x,y是定值,则当时积有最大值. x,yxys422推广 已知,则有 x,y,R(x,y),(x,y),2xy(1)若积是定值,则当最大时
2、,最大; xy|x,y|x,y|当最小时,最小. |x,y|x,y|(2)若和是定值,则当最大时, 最小; |x,y|x,y|xy|当最小时, 最大. |x,y|xy|2273.一元二次不等式,如果与aaxbxc,,0(0)或(0,40)abac,22axbxc,axbxc,同号,则其解集在两根之外;如果与异号,则其解集在两根之a间.简言之:同号两根之外,异号两根之间. ; xxxxxxxxx,()()0()121212. xxxxxxxxxx,()()0()或12121274.含有绝对值的不等式 当a 0时,有 22xaxaaxa,. 22xaxaxa,或. xa,75.无理不等式 fx()
3、0,(1) . fxgx()(),gx()0,fxgx()(),fx()0,fx()0,(2). fxgx()(),或gx()0,gx()0,2,fxgx()(),fx()0,(3). fxgx()(),gx()0,2,fxgx()(),76.指数不等式与对数不等式 a,1(1)当时, fxgx()(); aafxgx,()()of 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction
4、and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG . Pressure gauges, using an installed spark arrestor for acetylene cy
5、linders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined 200 Yuan, construct
6、ion person in charge a fine of 50 Yuan. (8) no permit to work and the job in accordance with the provisions, on the job unit fined 300 yuan, the unit will charge a fine of 100 Yuan. 7.5.3 accident penalties (1) injuries fatalities directly punished 12 million. Direct responsibility for the accident
7、and have the corresponding responsibility of leadership, such as concerning administrative sanctions, should be brought to the company or the relevant Department. (2) personal injury accident occurred, the direct punishment 0.5-10,000 yuan, responsible for the direct responsibility for the accident
8、and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticis
9、m and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious fx()0,log()log()()0fxgxgx,. ,aa,fxgx()(),01,a(2)当时, fxgx()(); aafxgx,()()fx()0,log()log()()0fxgxgx, ,aa,fxg
10、x()(),77.斜率公式 yy,21(、). Pxy(,)Pxy(,)k,111222xx,2178.直线的五种方程 lk(1)点斜式 (直线过点,且斜率为)( yykxx,()Pxy(,)11111l(2)斜截式 (b为直线在y轴上的截距). ykxb,,yyxx,11(3)两点式 ()(、 (). yy,Pxy(,)Pxy(,)xx,1211122212yyxx,2121xyab、ab、,0,,1(4)截距式 (分别为直线的横、纵截距,) ab(5)一般式 (其中A、B不同时为0). AxByC,,079.两条直线的平行和垂直 (1)若, lykxb:,,lykxb:,,111222?;
11、 llkkbb|,121212?. llkk,11212(2)若,且A、A、B、B都不为零, lAxByC:0,,lAxByC:0,,121211112222ABC111?; ll|,12ABC222?; llAABB,,,012121280.夹角公式 kk,21(1)tan|,. ,1kk,21lykxb:,,lykxb:,,(,,) kk,111122212ABAB,1221(2)tan|,. ,AABB,1212lAxByC:0,,lAxByC:0,,(,). AABB,,0111122221212,ll,直线时,直线l与l的夹角是. 12122ll81. 到的角公式 12kk,21ta
12、n,(1),. 1kk,21lykxb:,,lykxb:,,(,,) kk,111122212of 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and accep
13、tance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG . Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure m
14、easures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined 200 Yuan, construction person in charge a fine of 50 Yuan. (8) no permit to work and the job in accordance with the provisions, on the jo
15、b unit fined 300 yuan, the unit will charge a fine of 100 Yuan. 7.5.3 accident penalties (1) injuries fatalities directly punished 12 million. Direct responsibility for the accident and have the corresponding responsibility of leadership, such as concerning administrative sanctions, should be brough
16、t to the company or the relevant Department. (2) personal injury accident occurred, the direct punishment 0.5-10,000 yuan, responsible for the direct responsibility for the accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personne
17、l Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to i
18、nform the administrative leadership of the criticism, resulting in serious ABAB,1221(2). tan,AABB,1212(,). lAxByC:0,,lAxByC:0,,AABB,,0111122221212,直线时,直线l到l的角是. ll,1212282(四种常用直线系方程 (1)定点直线系方程:经过定点的直线系方程为(除直线Pxy(,)yykxx,()00000k),其中是待定的系数; 经过定点的直线系方程为xx,Pxy(,)0000,其中是待定的系数( AxxByy()()0,,,AB,00(2)共点直
19、线系方程:经过两直线,的交点lAxByC:0,,lAxByC:0,,11112222的直线系方程为(除),其中是待定的系数( ()()0AxByCAxByC,,l1112222(3)平行直线系方程:直线中当斜率k一定而b变动时,表示平行直线ykxb,,,0系方程(与直线平行的直线系方程是(),是AxByC,,0AxBy,,0参变量( (4)垂直直线系方程:与直线 (A?0,B?0)垂直的直线系方程是AxByC,,0,是参变量( BxAy,,,083.点到直线的距离 |AxByC,00l(点,直线:). Pxy(,)AxByC,,0d,0022AB,,084. 或所表示的平面区域 AxByC,,
20、0,0设直线,则或所表示的平面区域是: lAxByC:0,,AxByC,,0B,0lBB若,当与同号时,表示直线的上方的区域;当与AxByC,AxByC,l异号时,表示直线的下方的区域.简言之,同号在上,异号在下. B,0lAA若,当与同号时,表示直线的右方的区域;当与AxByC,AxByC,l异号时,表示直线的左方的区域. 简言之,同号在右,异号在左. ,085. 或所表示的平面区域 ()()0AxByCAxByC,,111222设曲线CAxByCAxByC:()()0,,(AABB,0),则 1112221212,0()()0AxByCAxByC,,或所表示的平面区域是: 111222()
21、()0AxByCAxByC,,所表示的平面区域上下两部分; 111222()()0AxByCAxByC,,所表示的平面区域上下两部分. 11122286. 圆的四种方程 222(1)圆的标准方程 . ()()xaybr,,,2222DEF,,4(2)圆的一般方程 (,0). xyDxEyF,,0xar,,cos,(3)圆的参数方程 . ,ybr,,sin,()()()()0xxxxyyyy,,,(4)圆的直径式方程 (圆的直径的端点是1212Axy(,)Bxy(,)、). 112287. 圆系方程 Axy(,)Bxy(,)(1)过点,的圆系方程是 1122()()()()()()()()0xx
22、xxyyyyxxyyyyxx,,,,, 1212112112,,,,,()()()()()0xxxxyyyyaxbyc,axbyc,,0,其中是直线1212AB的方程,是待定的系数( of 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump in
23、stallation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG . Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yu
- 配套讲稿:
如PPT文件的首页显示word图标,表示该PPT已包含配套word讲稿。双击word图标可打开word文档。
- 特殊限制:
部分文档作品中含有的国旗、国徽等图片,仅作为作品整体效果示例展示,禁止商用。设计者仅对作品中独创性部分享有著作权。
- 关 键 词:
- 最新 高中数学 必修 公式 大全 优秀 名师 资料
链接地址:https://www.31doc.com/p-1441642.html