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һγ̵ʡ

 
ִᣬѧӦ÷dz㷺ѧϰıҪ͹ߡӦѧǸߵְҵ
רҵһҪĻΣҲҪĹ߿ΡΪѧѧϰ̿γ̺ͽʵṩҪѧ֪ʶѧѧ

γ̵ĻҪ

ͨγ̵ѧϰʹѧڳѧĻѧϰޡ΢ѧĻѧ΢ֵӦá
ͳƻȻ֪ʶͼܡѧᡢֵĻע֪ʶṹ֪ʶϵϺõӦѧĻ֪ʶͻ㷽Ϊһѧϰ̿γִ̺ѧѧѧʡΪʺҵչҪҪнǿҸ¡ߵһġ
ѧݵѡ᳹ٶԭ򣬼֡ӦΪĿģԱ롢ΪȡѶȣҲ׷ָ
ӵͱ任ǿʵӦý϶Ļ֪ʶͻעػѵ
ͨγ̵ѧϰһѧĻʹѧȷĻһ߼˼ά
˼άϽĿѧ̬ȡӶѧͽʵеʵṩзжϣӦѧģ⡣ͨͨѧѧѧõĸƷʡ֤Ψ۵Ͱ˼롣

γ̸ģݼҪ

һģ飺ޡ

һѧ

ֱϵ淽̣ռߣһԪԪĸȺͼΣϺȺ޵ĸ
޵㣬ҪޣС󣬺ԡѧʵܣѧļޡ

ѧҪ

ȷһԪĸȺϺͳȺĸֶκĸϤȺ
ͼʡ
С޵˼Զ壬Ԫļ޸ռ޵㷨Ҫļй
ļޡܽļޡ
 
Сĸʣ˽СıȽϷõȼСޡ
 
⺯ĸ˽ʣ˽ڱϵʣ˽ϵķࡣ
 
˽ѧʵ飬ѧļޡ

ѧصѵ

ص㣺Ϻ޵ĸ޵㣬ҪޣС

ѵ㣺޵ĸҪޣԡ

ڶģ£΢ѧ

һѧ

΢ֵĸȺ󵼹ʽ΢Ļʽ΢ֵ㷨򣬸Ϻ
򣬵ļ壬ƫĸ㣬Ԫȫ΢֣΢ַ΢ַ߽׵ѧĵƫ

ѧҪ

⵼΢ֵĸ⵼΢ֵĹϵ壬˽⺯ĿɵԵĹϵ
յ΢ֵķͻȺĵʽԼ΢ֹʽյ΢ֵ㷨΢ַ
ȷĺ΢ַ
 
ƫĸԪƫ˽߽ƫĸ򵥺ĸ߽׵
 
ѧ͵ĺԺȷĺԪȵĵƫ

ѧصѵ

ص㣺ĸ΢ֵĸ΢ֵ㷨򣬸Ϻ΢ַļ塣

ѵ㣺ĸ΢ֵĸϺ΢ַ΢ַ

ģ飺һԪĻѧ

һѧ

ԭ벻ֵĸʣһ໻Ԫַڶ໻Ԫֲֵַ֣Ķʣ΢ֻ
ֹʽֻԪַͷֲַ֡ѧIJ֡֡

ѧҪ

ԭͲֵĸ˽ⲻֵļ壬ղֵĻʺ㷨󲻶ֵĻ
ֱӷԪֲַַIJ֡
ⶨֵĸʡ˽޵ĻΪ޵ĺ󵼶ţ١ȣ Newton Leib
niz ʽնֵĻԪͷֲַ˽ֵĸ򵥹֡
 
ѧIJ֡֡

ѧصѵ

ص㣺ֵ֡ĸֵ֡Ļʺ㷨򣬲ֵĻֱӷԪֲֵַַļ壬ʣţ١ȣ Newton Leibniz ʽֵ֡㡣

ѵ㣺ֵĻԪֲֵַַĸ޵ĻΪ޵ĺʣ֡

ģ飺΢ѧӦ

һѧ

΢ֵޱش﷨򡣺Եжϣֵֵѧģ飬ֵӦ
ߵİ͹Լյ㣬ߵ档
ֵ΢Ԫƽͼεתƽ߻еӦãҺѹ
һϵƽֵ
ѧļֵֵƺͼΡ

ѧҪ

֪΢ֵͽۡޱش﷨δʽ ļޣ˽δʽ޵󷨡պ
ĵԵб𷽷ĵ䡣⺯ļֵռֵıҪͳļֵڱϵֵ˽ѧģ塢ģĹ뷽衣򵥵ֵСֵӦ⡣˽⺯ߵİ͹ԣߵĹյ㡣֪΢ַͼIJ裨ˮƽǦֱߣʵĸʵؼ㡣
ն΢Ԫ΢Ԫƽͼεת֪΢ԪƽߵĻ΢Ԫ
Һڵѹķһϵƽֵ
ѧļֵֵƺͼΡ

ѧصѵ

ص㣺ĵ뼫ֵֵߵʡֵ΢Ԫƽͼε

ѵ㣺ֵĸ󷨡ѧģֵӦ⡣ֵ΢ԪӦãתƽߵĻ

ģ飺΢ַ

һѧ

΢̵ַĻɷ΢ַ̣һ΢ַ̣΢̵ַĽĽṹ׳ϵ΢ַ
̣΢̵ַӦá
ѧ̡΢ַ̡

ѧҪ

΢̵ַĸ˽΢̵ַĽסͨ⡢ʼؽĸ÷΢ַ̣һ
΢ַ̣΢̵ַĽĽṹնԳϵΡ΢̵ַ⣬ͨ΢ַһЩӦ⡣
ѧ̡΢ַ̡

ѧصѵ

ص㣺΢̵ַйظ΢ַ̣һ΢̵ַ⣬Գϵ΢̵ַ⣬΢ַڵӦá

ѵ㣺΢̵ַĽĽṹ΢ַ̣Գϵ΢̵ַ⣬΢ַʵʵӦ⡣

ģ飺

һѧ

ĸʣݼݼչҶ
ѧбԡĺͣչΪݼ

ѧҪ

ɢԼ͵ĸ˽ʼıҪյȱȼ p-
ıȽͱֵսĸ
˽⺯򼰺ͺĸݼ뾶估󷨣ݼ
ڵһЩʡ˽⺯չΪ̩ռijֱҪչʽһЩ򵥵ĺչݼݼ͡
⺯չΪҶĵὫ ( ) ( T T) ϵĺչΪ
ҶķὫ (0 ) ͣ 0 T ϵĺչΪһҼ
ѧбԡĺͣչΪݼ͸Ҷ

ѧصѵ

ص㣺 ԸıȽϡֵľݼ뾶䣬ݼչҶ

ѵ㣺ݼ򣬺ݼչҶ

ģ ػ߻ģ

һѧ

ػֵĸʣػֵļ㷽һ߻֣ԻĻ֣ ڶ߻֣Ļ
ֹʽ߻·޹صػ߻ֵӦá

ѧҪ

ػֵĸ˽ػֵʣ֪ػֵֵնػֱ֣ϵ¡ϵ£
ļ㷽һࡢڶ߻ֵĸ˽߻ֵʣյһࡢڶ߻ֵļ㡣ոֹʽ߻·޹ص߻ֵļ㡣öػּƽͼεԼһЩ߻͹Ĺ

ѧصѵ

ص㣺ػֵĸػֵļ㷽һࡢڶ߻ֵĸ㣬ֹʽ߻·޹ص

ѵ㣺ػֵĸ͵߻ֵĸػֵļ㣬߻ֵļ㡣ػ֡߻ֵӦá

ġʱ

ģ

ѧʱ

ѡѧʱ

С

1

һģ

ޡ

20

0

20

2

ڶģ

΢ѧ

20

0

20

3

ģ

һԪĻѧ

20

4

20

4

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΢ѧӦ

28

6

34

5
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΢ַ
16
0
14

6

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16

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16

7

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ػ߻

20

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140

128 140

塢γ̿

Ӧѧγ̷ѧڿ裬һѧΪԿΣڶѧڴרҵΪΡһѧڵĿԿΣƽʱɼ
ռ 30% ĩԳɼռ 70% ƽʱҵó״״̬ûش⡢ѧʵȷĩȫԺͳʵн̿룬ǵΡӦѧγ̵ʦڿǰܽӴ⣬Ժˮҵͳһľ
ڶѧΪΣƽʱɼռ 30% ƽʱķΧһѧڻһ¡ռ 70% һ֪ʶ
ݲ飬⻹ڼѧѧ㡢ͼݷIJɽʦõСĵɼ

˵

1 ڹƵרҵ

2 ɸʵԽ̲ݽʵѡȡһݿΪѡѧݡ

3 ڽѧУӦͳ۵Ѷȣӻͻ㣬Ӹ֪ʶĻĽѧעӦѧϵʵʣdzһҪθѶԼѶȡ


 

 

 

 


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