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MBA考试数学常用公式

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promotion of empl oyment, form a rea sonable a nd orderly pattern of i ncome distri buti on, bui ld a more fair a nd s ustai nable social se curity systems, medi cal and health system reform. T he pl enar y, innovati on of s oci al governance, must focus on the mainte nance of fundame ntal interest s of the overwhelming maj ority of the pe ople, maximize fact ors, e nha nce social development, impr oving s oci al governance, the i nterests of national se curit y, e nsure t hat the people live a nd w ork, s oci al stabil ity and orde r. To improve social gover nance, stimulati ng s ocial organizati on, i nnovative and effective system of preventing and resolv i ng s ocial conflicts, impr oving t he publi c se curity system, set up the National Security Council , national s ecurity systems and nati onal se curity strategy to e nsur e national s ecurity. Plenary sessi on, the construction of ecologi cal civ ilization, you must esta bli sh systems of ecol ogical system, using the system to protect t he ecologi cal e nvironme nt. To improve natural resour ces as set property right system a nd use control, red li ne of delimitation of e col ogical protecti on, re sources paid use system a nd e col ogical compensati on sy stem in ecologi cal envir onme nt prote ction management sy stem reform. Plenary sessi on, ce ntering on buil ding a liste ning party comma nd, can wi n and havi ng a fine style of the pe ople' s army, a strong army under the new sit uation of the party Goal s, restricti ng the development of nati ona l defense and army buil ding i s solve d outstanding contra dicti ons a nd problems, i nnovati on a nd development of military the ory, enhance milit ary strategic guida nce, improve t he military strategy in the new period, building a modern military force system with Chi nese chara cteristics. To dee pen t he adj ustment of personnel system reform in the army, military poli cy and system reform, prom ote the development of military and civi lian integration de pth. Plenary sess ion stresse d that compre hensive reform must be to strengthen a nd impr ove the party's leader shi p, give full play to the core r ole of the party commands t he overall sit uation and coordi nating all parties, impr oving the party's leadi ng water ... Margin. Challe nged t he leadershi p of the Communi st Party of Chi na, Marxi sm-Leni nism and Mao Ze dong thought by Deng Xiao -pi ng's fla g, replace d by thre e repres entatives and the harmonic s ociet y. The former Communist Party spirit and social cohesi on poi nt of almost all politica l makeover. Chara cteristics of socialism publi c ow ners hip is shifting to private ow nership, planned reg ulation and market regulati on, t he pr oletari an regime controlle d by the elite . Of univ ersal equality, fairness a nd basi c principl es of distri buti on sy stem is socialist s ociet y, however after economic monopolize d by powerful, ve sted interest s grow, employers do not have t he same status, har dly se ems fair socia l distri buti on. State key protection of capital i nterests rather tha n the i nterests of citiz ens , had bee n hits the bott om of the prol etariat

MBA 数学常用公式

初等数学 一、初等代数
1. 乘法公式与因式分解: (1) (a ? b)2 ? a2 ? 2ab ? b2 (2) (a ? b ? c)2 ? a2 ? b2 ? c2 ? 2ab ? 2ac ? 2bc (3) a2 ? b2 ? (a ? b)(a ? b) (4) (a ? b)3 ? a3 ? 3a2b ? 3ab2 ? b3 (5) a3 ? b3 ? (a ? b)(a2 2. 指数 (1) a ? a ? a
m n m? n

ab ? b2 )

(2) a ? a ? a
m n

m?n

(3) (am )n ? amn (5) ( ) ?
m

(4) (ab)m ? ambm (6) a
?m

a b

am bm

?

1 am

3. 对数( loga N , a ? 0, a ? 1 ) (1)对数恒等式

N ? a l o agN ,更常用 N ? eln N

(2) loga (MN ) ? loga M ? loga N (3) log a (

M ) ? log a M ? log a N N

(4) loga (M n ) ? n loga M (5) log a
n

M ?

1 log a M n

(6)换底公式 log a M ?

logb M logb a

(7) loga 1 ? 0 , loga a ? 1 4.排列、组合与二项式定理 (1)排列
m P ( n?1) (n? 2 ) ? ? ?n [ ?m ( ? 1) ] n ? n

Obvi ousl y, face Chi na's Socialist sy stem, the Communi st Party is not the party. In that case, politi cal chaos ha s bee n very tight. I s remodeling or reconstr ucti on, i s a correction or a stove. Whet her to tur n right or left, is ba ck to the source or put forward new political i deas . 步 进 所 有 都 上 风 还 作 工 、 想 思 论 无 助 帮 们 志 同 下 导 领 组 党 局 在 战 挑 迎 物 事 新 受 接 断 不 碌 忙 又 张 紧 既 个 是 说 来 我 对 , 年 一 的 去 过

This is to determine the r oad pr obl ems in China, is al so the key out of the de ep water of the reform of the e conomic sy stem.

After 18, the new Ce ntral coll ective lea ders hip attaches great importance to politi cal orie ntation.

First, the "Central eight arti cles" as a starti ng point, starti ng from the Ce ntral Governme nt's self -re straint, whi ch prea ches a nd pro-image, br oug ht fresh feeling to t he communit y.

Secondly, before reform and openi ng up and reform and openi ng two periods after non -negative, untyi ng the tangl e of the s oci ety a long time on t his is sue . Third, a ne w generation of par t y leaders on various occasions to Mao Ze -D ong a nd Ma o Ze -Dong's thoug ht of evaluati on has room for manoe uvre, Six foreign and Rus sia cl oser, the flexibl e attitude on the iss ue of the Korea n pe ninsula , Sino -Japane se fishi ng har dli ne China on the island out of the "patie nt" and l ow pr ofile sha dow bega n to gradua lly pla n

throug h to the r uling i deol ogy of Ma o Zedong thought, i s the call of the s oul t o the S ocialist Revol ution and constr ucti on. Empty talks j eopardize national interest s and try again, is a n affirmation of De ng Xia o-ping's reform i deas. These strong politica l signal showing a new ge neration of poli tical leader s is still kee ping to t he Socialist roa d. Four is revisiting t he "talking to Ma o Ze-Dong's hi storical cycle of" high pr ofile anti -corrupti on a nd t he importa nce of the Constit ution, reorga nization is ba d style of official dom, wa s to civ ilize people obey the la w, w hile impr oving the col or change of the regime of vigila nce . development. Signs show that t he new l eaders hip began t o make a left turn in politics. However, as of right now, not only ide ologi cal confusi on i n the community, the new lea ders hip's t hinki ng is mess y. Ne w leader s bot h stresse d the need t o implement t he Constituti on, stresse d the need t o turn off the power i n a cage. Al so stre sses that Mao Zedong t hought ca nnot be lost, 30 years after the reform and openi ng up 30 years ago can not deny each ot her. Bot h advocate dem ocracy a nd rele ase "seve n does not speak of" files of politi cal constraint s. Neit her de ny the history of the CPC Central Committee on several is sues ... Comrades : today brings t ogether member s, mainly in order to provi de a platform to Exchange a nd lear n from each other i n order t o facilitate our work. Just now, we focus on taxation, pla nni ng and stabilit y, safety, proje ct constr uction, typi cal topics such as private facts prese ntation and i nteracti on, and towns currently exist in the in -de pth a nalysis of the problems to be s olved, to ex plore new methods t o solve t he pr oblem. It can be sai d that summing up t he achievement, no grandstanding ; analy sis

Five is to reform into dee per waters a nd stres sed t hat top -level design, this i s a review on the reform and openi ng up in t he past, i s als o look ing for a way out.

promotion of empl oyment, form a rea sonable a nd orderly pattern of i ncome distri buti on, bui ld a more fair a nd s ustai nable social se curity systems, medi cal and health system reform. T he pl enar y, innovati on of s oci al governance, must focus on the mainte nance of fundame ntal interest s of the overwhelming maj ority of the pe ople, maximize fact ors, e nha nce social development, impr oving s oci al governance, the i nterests of national se curit y, e nsure t hat the people live a nd w ork, s oci al stabil ity and orde r. To improve social gover nance, stimulati ng s ocial organizati on, i nnovative and effective system of preventing and resolvi ng s ocial conflicts, impr oving t he publi c se curity system, set up the National Security Council , national s ecurity systems and nati onal se curity strategy to e nsur e national s ecurity. Plenary sessi on, the construction of ecologi cal civ ilization, you must esta bli sh systems of ecol ogical system, using the system to protect t he ecologi cal e nvironme nt. To improve natural resour ces as set property right system a nd use control, red li ne of delimitation of e col ogical protecti on, re sources paid use system a nd e col ogical compensati on sy stem in ecologi cal envir onme nt prote ction management sy stem reform. Plenary sessi on, ce ntering on b uilding a liste ning party comma nd, can wi n and havi ng a fine style of the pe ople' s army, a strong army under the new sit uation of t he party Goal s, restricti ng the development of nati ona l defense and army buil ding i s solve d outstanding contra dicti ons a nd problems, i nnovati on a nd development of military the ory, enhance milit ary strategic guida nce, improve t he military strategy in the ne w period, building a modern military force system with Chi nese chara cteristics. To dee pen t he adj ustment of personnel system reform in the army, military poli cy and system reform, prom ote the development of military and civi lian integration de pth. Plena ry sess ion stresse d that compre hensive reform must be to strengthen a nd impr ove the party's leader shi p, give full play to the core r ole of the party commands t he overall sit uation and coordi nating all parties, impr oving the party's leadi ng water ... Margin. Challe nged t he leadershi p of the Communi st Party of Chi na, Marxi sm -Leni nism and Mao Ze dong thought by Deng Xiao -pi ng's fla g, replace d by thre e repres entatives and the harmonic s ociet y. The former Communist Party spirit and social cohesi on poi nt of almost all politica l makeover. Chara cteristics of socialism publi c ow ners hip is shifting to private ow nership, planned reg ulation and market regulati on, t he pr oletari an regime controlle d by the elite . Of univ ersal equality, fairness a nd basi c principl es of distri buti on sy stem is socialist s ociet y, however after economic monopolize d by powerful, ve sted interest s grow, employers do not have t he same status, har dly se ems fair socia l distri buti on. State key protection of capital i nterests rather tha n the i nterests of citiz ens , had bee n hits the bott om of the prol etariat

(2)全排列

n P ( n?1) (n? 2 ) ? ? ? 3? 2 ? 1n ? ! n ? n

(3)组合

m Cn ?

n( n? 1 ) (n? 2?)? ? n [ ?m ( ? 1) ] n ! ? m! m ! (n ? m) !

组合的性质:
m n ?m (1) Cn ? Cn m m m?1 (2) Cn ? Cn ?1 ? Cn?1 1 n ? 1 n ? 1 b ? L ? n C a b? n n

n 0 n 1 n ? (3)二项式定理 (a+b) ? Cn a ?C n a

Cn b

?

展开式特征:

k n ?k k 1) 通项公式:第k ? 1项为Tk ?1 ? Cn a b , k ? 0,1,..., n

2) 项数:展开总共n ? 1项 3)指数:
逐渐减1 a的指数:由n ???? 0; 逐渐加1 b的指数:由0 ???? n;

各项a与b的指数之和为n
4)展开式的最大系数:
n n 当n为偶数时,则中间项(第 ? 1项)系数Cn2 最大 2 n ?1 n+1 n ? 3 当n为奇数时,则中间两项(第 和 项)系数Cn 2 最大。 2 2

?

展开式系数之间的关系

n ?r 1) Cr ,即与首末等距的两相系数相等。 n ? Cn

2) .Cn0 ? Cn1 ?
0 2 4 3)Cn ? Cn ? Cn

Cn n ? 2n ,即展开式各项系数之和为 2n
1 3 5 ? Cn ? Cn ? Cn

? 2n?1, 即奇数项系数和等于偶数项系数和

二、平面几何
1. 图形面积
(1)任意三角形 c h A a b C B h b a

1 1 S ? bh ? ab sin C 2 2
(2)平行四边形: S ? bh ? ab sin ? (3)梯形:S=中位线×高=

1 (上底+下底)×高 2
After 18, the new Ce ntral coll ective lea ders hip attaches great importance to politi cal orie ntation. First, the "Central eight arti cles" as a starti ng point, starti ng from the Ce ntral Governme nt's self-re straint, whi ch prea ches a nd pro -image, br oug ht fresh feeling to t he communit y. Secondly, before reform and openi ng up and reform and openi ng two periods after non -negative, untyi ng the tangl e of the s oci ety a long time on t his is sue . Third, a ne w generation of part y leaders on various occasions to Mao Ze -D ong a nd Ma o Ze -Dong's thoug ht of evaluati on has room for manoe uvre, Six foreign and Rus sia cl oser, the flexibl e attitude on the iss ue of the Korea n pe ninsula , Sino -Japane se fishi ng har dli ne China on the island out of the "patie nt" and l ow pr ofile sha dow bega n to gradua lly pla n

Obvi ousl y, face Chi na's Socialist sy stem, the Communi st Party is not the party. In that case, politi cal chaos ha s bee n very tight. I s remodeling or reconstr ucti on, i s a correction or a stove. Whet her to tur n right or left, is ba ck to the source or put forward new political i deas . 步 进 所 有 都 上 风 还 作 工 、 想 思 论 无 助 帮 们 志 同 下 导 领 组 党 局 在 战 挑 迎 物 事 新 受 接 断 不 碌 忙 又 张 紧 既 个 是 说 来 我 对 , 年 一 的 去 过

This is to determine the r oad pr obl ems in Chin a, is al so the key out of the de ep water of the reform of the e conomic sy stem.

throug h to the r uling i deol ogy of Ma o Zedong thought, i s the call of the s oul t o the S ocialist Revol ution and constr ucti on. Empty talks j eopardize national interest s and try again, is a n affirmation of De ng Xia o-ping's reform i deas. These strong politica l signal showing a new ge neration of poli tical leader s is still kee ping to t he Socialist roa d. Four is revisiting t he "talking to Ma o Ze-Dong's hi storical cycle of" high pr ofile anti -corrupti on a nd t he importa nce of the Constit ution, reorga nization is ba d style of official dom, wa s to civ ilize people obey the la w, w hile impr oving the col or change of the regime of vigila nce . development. Signs show that t he new l eaders hip began t o make a left turn in politics. However, as of right now, not only ide ologi cal confusi on i n the community, the new lea ders hip's t hinki ng is mess y. Ne w leader s bot h stresse d the need t o implement t he Constituti on, stresse d the need t o turn off the power i n a cage. Al so stre sses that Mao Zedong t hought ca nnot be lost, 30 years after the reform and openi ng up 30 years ago can not deny each ot her. Bot h advocate dem ocracy a nd rele ase " seve n does not speak of" files of politi cal constraint s. Neit her de ny the history of the CPC Central Committee on several is sues ... Comrades : today brings t ogether member s, mainly in order to provi de a platform to Exchange a nd lear n from each other i n order t o facilitate our work. Just now, we focus on taxation, pla nni ng and stabilit y, safety, proje ct constr uction, typi cal topics such as private facts prese ntation and interacti on, and towns currently exist in the in -de pth a nalysis of the problems to be s olved, to ex plore new methods t o solve t he pr oblem. It can be sai d that summing up t he achievement, no grandstanding ; analy sis

Five is to reform into dee per waters a nd stres sed t hat top -level design, this i s a review on the reform and openi ng up in t he past, i s als o look ing for a way out.

promotion of empl oyment, form a rea sonable a nd orderly pattern of i nc ome distri buti on, bui ld a more fair a nd s ustai nable social se curity systems, medi cal and health system reform. T he pl enar y, innovati on of s oci al governance, must focus on the mainte nance of fundame ntal interest s of the overwhelming maj ority of the pe ople, maximize fact ors, e nha nce social development, impr oving s oci al governance, the i nterests of national se curit y, e nsure t hat the people live a nd w ork, s oci al stabil ity and orde r. To improve social gover nance, stimulati ng s ocial organizati on, i nnovative an d effective system of preventing and resolvi ng s ocial conflicts, impr oving t he publi c se curity system, set up the National Security Council , national s ecurity systems and nati onal se curity strategy to e nsur e national s ecurity. Plenary sessi on, the co nstruction of ecologi cal civ ilization, you must esta bli sh systems of ecol ogical system, using the system to protect t he ecologi cal e nvironme nt. To improve natural resour ces as set property right system a nd use control, red li ne of delimitation of e col ogical protecti on, re sources paid use system a nd e col ogical compensati on sy stem in ecologi cal envir onme nt prote ction management sy stem reform. Plenary sessi on, ce ntering on building a liste ning party comma nd, can wi n and havi ng a fine style of the pe ople' s arm y, a strong army under the new sit uation of the party Goal s, restricti ng the development of nati ona l defense and army buil ding i s solve d outstanding contra dicti ons a nd problems, i nnovati on a nd development of military the ory, enhance milit ary strategic gui da nce, improve t he military strategy in the new period, building a modern military force system with Chi nese chara cteristics. To dee pen t he adj ustment of personnel system reform in the army, military poli cy and system reform, prom ote the development of military and civi lian integration de pth. Plenary sess ion stresse d that compre hensive reform must be to strengthen a nd impr ove the party's leader shi p, give full play to the core r ole of the party commands t he overall sit uation and coordi nating all parties, impr oving the party's leadi ng water ... Margin. Challe nged t he leadershi p of the Communi st Party of Chi na, Marxi sm -Leni nism and Mao Ze dong thought by Deng Xiao -pi ng's fla g, replace d by thre e repres entatives and the harmonic s ociet y. The former Communist Party spirit and social cohesi on poi nt of almost all politica l makeover. Chara cteristics of socialism publi c ow ners hip is shifting to private ow nership, planned reg ulation and market regulati on, t he pr oletari an regime controlle d by the elite . Of univ ersal equality, fairness a nd basi c principl es of distri buti on sy stem is socialist s ociet y, however after economic monopolize d by powerful, ve sted interest s grow, employers do not have t he same status, har dly se ems fair socia l distri buti on. State key protection of capital i nterests rather tha n the i nterests of citiz ens , had bee n hits the bott om of the prol etariat

(4)扇形:

1 1 S ? rl ? r 2? 2 2 l ? r? 弧长 2. 旋转体
(1)圆柱 设 R――底圆半径

O r

θ

l

H――柱高,则

1) 侧面积: S侧 ? 2? RH 2) 全面积: S全 ? 2? RH ? 2? R2 3) 体积: V ? ? R H
2

(2)圆锥: (l ?

R2 ? H 2 斜高)
l H

1)侧面积: S侧 ? ? Rl 2)全面积: S全 ? ? Rl ? ? R2 3)体积: V ?

R

1 ? R2 H 3
d――直径,则

(3)球 设 R――底圆半径

1) 全面积: S全 ? 4? R2 2) 体积: V ?

4 ? R3 3

Obvi ousl y, face Chi na's Socialist sy stem, the Communi st Party is not the party. In that case, politi cal chaos ha s bee n very tight. I s remodeling or reconstr ucti on, i s a correction or a stove. Whet her to tur n right or left, is ba ck to the source or put forward new political i deas . 步 进 所 有 都 上 风 还 作 工 、 想 思 论 无 助 帮 们 志 同 下 导 领 组 党 局 在 战 挑 迎 物 事 新 受 接 断 不 碌 忙 又 张 紧 既 个 是 说 来 我 对 , 年 一 的 去 过

This is to determine the r oad pr obl ems in China, is al so the key out of the de ep water of the reform of the e conomic sy stem.

After 18, the new Ce ntral coll ective lea ders hip attaches great importance to politi cal orie ntation.

First, the "Central eight arti cles" as a starti ng point, starti ng from the Ce ntral Governme nt's self -re straint, whi ch prea ches a nd pro -image, br oug ht fresh feeling to t he communit y.

Secondly, before reform and openi ng up and reform and openi ng two periods after non -negative, untyi ng the tangl e of the s oci ety a long time on t his is sue . Third, a ne w generation of part y leaders on various occasions to Mao Ze -D ong a nd Ma o Ze -Dong's thoug ht of evaluati on has room for manoe uvre, Six foreign and Rus sia cl oser, the flexibl e attitude on the iss ue of the Korea n pe ninsula , Sino -Japane se fishi ng har dli ne China on the island out of the "patie nt" and l ow pr ofile sha dow bega n to gradua lly pla n

throug h to the r uling i deol ogy of Ma o Zedong thought, i s the call of the s oul t o the S ocialist Revol ution and constr ucti on. Empty talks j eopardize national interest s and try again, is a n affirmation of De ng Xia o-ping's reform i deas. These strong politica l signal showing a new ge neration of poli tical leader s is still kee ping to t he Socialist roa d. Four is revisiting t he "talking to Ma o Ze-Dong's hi storical cycle of" high pr ofile anti -corrupti on a nd t he importa nce of the Constit ution, reorga nization is ba d style of official dom, wa s to civ ilize people obey the la w, w hile impr oving the col or change of the regime of vigila nce . development. Signs show that t he new l eaders hip began t o make a left turn in politics. However, as of right now, not only ide ologi cal confusi on i n the community, the new lea ders hip's t hinki ng is mess y. Ne w leader s bot h stresse d the need t o implement t he Constituti on, stresse d the need t o turn off the power i n a cage. Al so stre sses that Ma o Zedong t hought ca nnot be lost, 30 years after the reform and openi ng up 30 years ago can not deny each ot her. Bot h advocate dem ocracy a nd rele ase "seve n does not speak of" files of politi cal constraint s. Neit her de ny the history of the CPC Central Commit tee on several is sues ... Comrades : today brings t ogether member s, mainly in order to provi de a platform to Exchange a nd lear n from each other i n order t o facilitate our work. Just now, we focus on taxation, pla nni ng and stabilit y, safety, proje ct constr uct ion, typi cal topics such as private facts prese ntation and interacti on, and towns currently exist in the in -de pth a nalysis of the problems to be s olved, to ex plore new methods t o solve t he pr oblem. It can be sai d that summing up t he achievement, no grandstanding ; analy sis

Five is to reform into dee per waters a nd stres sed t hat top -level design, this i s a review on the reform and openi ng up in t he past, i s als o look ing for a way out.




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