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#1                   ԲԲ׶Ƕͷ˵

    1ΪԲԲ׶ǶͷͬԽʽչͼ㡣
    2ʾͼd1ΪԲֱhΪ߸߶ȣd2ΪԲ׶СֱLΪ߳ȣaΪƫתǶȣbΪĺȣҪd1>d2>00<a=90h>0.6*d1*tan(a/2)L>0.6*(d1^2-d2^2)^0.5b>0׶ܵ׶ȽϴʱʱȻd2ԶСd1׶ܵıԲཻܲᵼ޷ϣʱʾСd2Ӵd3ߴ磬ҲԼӴL2Ӵd1ߴ磬ʹ׶ཻܱԲܼɡ
    3ڹܽ߼ַʽһԲĵΪ뾶бڸߵϳȣоʽһڰ뾶߶бڸ߳ȣ뾶Ͷбڸ߳ȣ뾶ʽĽϱ߰԰Ϊ׼¿ڣðоʽϣĽϺҲ¿ڵĹ뾶ʽϣƴʱϿҽǶȻƫ
    4Բܼ׶չܳnȷߵʵnֵ4ɲ߸׶ֱҪȷ롣nֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    5չͼԲݸϷʽͬͬѡϣ԰ĵΪֱչȺͽ߳ȣ߿ɸչͼֱڰϻϣѡƷϣԲ⾶ϺΪֱ㣬ϣȻڳƷ⻭ϡɲչʾͼ·
    (һ)ԲϷ
    (1)һ߶ΣȵS1߶ηֳnȷݣÿݳȵm1
    (2)ȷֵ㻭߶εĴֱߣڸֱȡha(1)~ha(n/2+1)
    (3)ù⻬ȡĸ㣬ΪԲܵչͼ
    ()Բ׶Ϸ
    (1)ⶨһԭoԭΪԲģRs2Ϊ뾶ڻȡ㣬һػȡS2ȡҳLxҲչǶasȷԲнǡȷ󣬽ֱߵԭo죻
    (2)S2ֳnȷ֣ÿȷֻΪm2ߵԭoӳ
    (3)Rs2ϸΪ㣬ڸߵӳϷֱȡLa(1)~La(n/2+1)ȣù⻬ȡ㣬ɵõ׶ܵչͼ


#2                   ԲԲ׶ཻ˵

    1ΪԲԲ׶ཻཻǶȡ׶ܼԲܸߴ硢һΧȡֵĹཻʽвʽʽѡԲаϺͳƷϷʽ⻹ԲܸڴӲǿĹܡ
    2ͼd1d2Ϊ׶ܵĴСֱd3ΪԲֱܵh1Ϊ׶ܵĸ߶ȣLΪԲܵĳȣh2ΪԲ߽׶ܱ߸߶ȣaΪԲˮƽнǣb1Ϊ׶ܰĺȣb2ΪԲܰĺȣɲȷ롣Ҫd1>d2>0d3>00o<=a<=90oh2>d3/(2*cos(a)),h1>d3/cos(a)L>d3*tan(a)+(d1-d2)/2b1b2>0
    3Բܳnȷߵʵnֵ4ɲ߸ԲֱҪȷ롣nֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4ཻܵʽвʽʽ֣ʽ֧ܲ뵽ܵڱڼ㣬ʽ֧ܽӴڼ㣬ʱʽܿڴһЩ֧ܵĳҲһЩ
    5ӲǿĹܣӲǿ塯ťӲǿ棬ýв⣬˲ǿĺȺͿbzwzɸҪ롣     6չͼԲݸϷʽͬͬѡϣ԰ĵΪֱչȺͽ߳ȣ߿ɸչͼֱڰϻϣѡƷϣԲ⾶ϺbtΪֱ㣬ϣȻڳƷ⻭ϡɲչʾͼ·
    (һ)Բ׶Ϸ
    (1)ⶨһԭoԭΪԲģRs1Rs2Ϊ뾶ֱ𻭻Rs1Ļȡ㣬һػȡS1ȡҳLxҲչǶasȷԲнǡȷ󣬽ֱߵԭoRs1RS2ֱΧΪ׶չͼ
    (2)չͼмԭ㻭һߣԭΪԲģRc(1)~Rc(n/2+1)ֱΪ뾶ңҳms(1)~ms(n/2+1)ֱӦԳ߽ȡ߸㣻
    (3)ͼù⻬ӸΪߣΪԲܵĸڡ
    ()ԲϷ
    (1)һ߶ΣȵS3߶ηֳnȷݣÿݳȵm3
    (2)ͼȷֵ㻭߶εĴֱߣڸֱȡLa(1)~La(n/2+1)
    (3)ù⻬ȡĸ㣬ΪԲܵչͼ
    ()ǿϷ
    (1)⻭һֱߣ߶ȴlb(n/2)ȡһΪ߻׼㣻
    (2)ͼߴӻ׼Lb(1)Lb(n/2)㳤ȣ߶ԳƻһƽߴֱߣȻڸƽ϶Ӧȡma(1)ma(n/2)ȣ
    (3)÷յĹ⻬Ӹ㣬Ϊ֧ܵĸڡ
    (4)ԸڸΪ׼ȡǿwzõӦĸ㣬÷յĹ⻬Ӹ㣬Ϊǿͼ



#3                   ԲǶཻбԲ׶ܷ˵

    1ΪԲбԲ׶ܵбཻ,ཻǶȿһΧ仯ཻʽвʽʽѡ
    2ͼd1d2ΪбԲ׶ܴСֱh1ΪбԲ׶ܸ߶ȡh2ΪԲ׶ܱ߽߶ȡSΪ׶¿ƫd3LΪԲֱȣaΪԲˮƽнǣb1b2ֱΪ׶ܡԲܰĺȡҪd1>d2>=d3>0L>=0.7*d3h1>=1.2d3h2>=0.6d30o<=a<=90oSb1b2>0
    3׶ֳܵܳn1ȷ֡Բֳܵܳn2ȷߵʵn1n2ֵ4ɲ߸ֱСҪȷnֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4ཻܵʽвʽʽ֣ʽ֧ܲ뵽ܵڱڼ㣬ʽ֧ܽӴڼ㣬ʱʽܿڴһЩ֧ܵĳҲһЩ
    5չͼԲݸϷʽͬͬѡϣ԰ĵΪֱչȺͽ߳ȣ߿ɸչͼֱڰϻϣѡƷϣԲ⾶ϺΪֱ㣬ϣȻڳƷ⻭ϡɲչʾͼ·
    (һ)ԲϷ
    (1)һ߶ΣȵS1߶ηֳnȷݣÿݳȵm1
    (2)ȷֵ㻭߶εĴֱߣڸֱȡLa(1)~La(n/2+1)
    (3)ù⻬ȡĸ㣬ΪԲܵչͼ
    ()бԲ׶Ϸ
    (1)ⶨһԭoo㻭һ߶ΣȵRa(n1/2+1)
    (2)Ra(n1/2)Ϊ뾶ԭ㣬m1Ϊ뾶Ra(n1/2+1)߶ζ˵ֱ߶໭ཻԭ㼰ΪԲģRa(n1/2-1)m1Ϊ뾶һ㣬˳λ㣻
    (3)Ӹԭ㻭ֱߣٴԭڸ߶϶ӦȡRb1~Rb(n/2+1)ȣ
    (4)ͼԹ⻬ཻ㣬ΪбԲ׶չͼΡ
    (5)ԭΪԲģRc(1)~Rc(n/2+1)ֱΪ뾶Ra(n1/2+1)߶ңҳms(1)~ms(n/2+1)ֱӦԳ߶νȡ߸㣻
    (6)ͼù⻬ӸΪߣΪԲܵĸڡ


#4                   Բ׶ཻܴԲܷ˵

    1ΪԲ׶Բཻչͼ㣬ཻǶȿһΧ仯ཻʽвʽʽѡ񣬶׶ܱעֱСֱ׶бֱʾ
    2ʾͼd1ΪԲھd2d3ֱΪ׶ܴСھL1L2ΪԲ׶ܳȣaΪ߼нǣL3ΪԲܱߵ߳ȣb1b2ΪԲ׶ܰѡǶȱעû׶ֱܴd2׶ܱбak棬ɲ롣Ҫd1>=d2>d30<a<=90L2L3>0.6*d1/Tan(a/2)L1>L3+0.6*d20<ak<60
    3׶ܳnȷʵnֵ4ɲ߸ֱҪȷ룬nֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4ཻܵʽвʽʽ֣ʽ֧ܲ뵽ܵڱڼ㣬ʽ֧ܽӴڼ㣬ʱʽܿڴһЩ֧ܵĳҲһЩ
    5չͼֱӸڰϣɲչʾͼ·
    (һ)ԲչϷ
    (1)һΣȵL1ȵS1ΪԲܵչͼ
    (2)չͼS1м仭һֱƽL1ΪߣͼԱΪ׼ȡLa(1)~La(n/2+1)ȷֱƽߣ
    (3)Ϊ׼La(1)~La(n/2+1)ƽ϶ԳƶӦȡms(1)~ms(n/4+1)ȡ
    (4)÷յĹ⻬Ӹ㣬ΪԲ׶ܵĸڡ
    ()׶Ϸ
    (1)ⶨһԭoԭΪԲģRs2Ϊ뾶ڻȡ㣬һػȡS3ȡҳLxҲչǶakȷԲнǡȷ󣬽ֱߵԭo죻
    (2)S3ֳnȷ֣ÿȷֻΪmߵԭoӳ
    (3)Rs2ϸΪ㣬ڸߵӳϷֱȡLc(1)~Lc(n/2+1)ȣù⻬ȡ㣬ɵõ׶ܵչͼ


#5                   Բ׶СཻԲܷ˵

    1ΪԲ׶СཻԲܹԲܺ׶ܿȡͬİཻǶȿһΧ仯ཻʽвʽʽѡ
    2ʾͼd1ΪԲֱd2d3ֱΪ׶ܴСֱL1ΪԲܳȣL2Ϊ׶ܳȣL3ΪԲܱߵ׶߽Բܱ߳ȣaΪ߼нǣb1b2ΪԲܡ׶ܰɲ룬Ҫd1>=d2>d3Atn((d2-d3)/(2*L2))<a<=90L2L3>0.6*d1/Tan(a/2)L1>L3+d2/2
    3׶ܳnȷʵnֵ4ɲ߸׶ֱҪȷ룬nֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4ཻܵʽвʽʽ֣ʽ֧ܲ뵽ܵڱڼ㣬ʽ֧ܽӴڼ㣬ʱʽܿڴһЩ֧ܵĳҲһЩ
    5չͼֱӸڰϣɲչʾͼ·
    (һ)ԲչϷ
    (1)һΣȵL1ȵS1ΪԲܵչͼ
    (2)չͼS1м仭һֱƽL1ΪߣͼԱΪ׼ȡLa(1)~La(n/2+1)ȷֱƽߣ
    (3)Ϊ׼La(1)~La(n/2+1)ƽ϶ԳƶӦȡms(1)~ms(n/2+1)ȡ
    (4)÷յĹ⻬Ӹ㣬ΪԲ׶ܵĸڡ
    ()׶Ϸ
    (1)ⶨһԭoԭΪԲģRsΪ뾶ڻȡ㣬һػȡS2ȡҳLxҲչǶakȷԲнǡȷ󣬽ֱߵԭo
    (2)S2ֳnȷ֣ÿȷֻΪmߵԭo
    (3)RsϸΪ㣬ڸϷֱȡLc(1)~Lc(n/2+1)ȣù⻬ȡ㣬ɵõ׶ܵչͼ


#6                   бԲ׶ܹܿƽཻԲܷ˵

    1ΪбԲ׶Բܿڷཻͬ׶ܵĸ߶ȣƫĿһΧ仯ཻʽвʽʽѡ
    2ʾͼd1ΪԲֱd2d3ΪбԲ׶ܴСֱh1b1ΪԲܵĸ߶ȡĺȣh2b2ΪбԲ׶ܵĸ߶ȡĺȣh3ΪбԲ׶ཻԲܱ߸߶ȣpΪ׶¿ƫľ롣Ҫd1>d2>d3>0,  p>d3/2+b2, h3>h2*d2/(2*p-d2+d3)h1>h3+d2*h2/(2*p+d2-d3)h2b1b2>0
    3бԲ׶ܳnȷʵnֵ4ɲ߸׶ֱҪȷ룬nֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4ཻܵʽвʽʽ֣ʽ֧ܲ뵽ܵڱڼ㣬ʽ֧ܽӴڼ㣬ʱʽܿڴһЩ֧ܵĳҲһЩ
    5չͼֱӸڰϣɲչʾͼ·
    (һ)ԲչϷ
    (1)һΣȵS1ȵh1ΪԲܵչͼ
    (2)չͼS1м仭һֱƽh1ΪߣͼԱΪ׼ȡha(1)~ha(n/2+1)ȷֱƽߣ
    (3)Ϊ׼ha(1)~ha(n/2+1)ƽ϶ԳƶӦȡms(1)~ms(n/2+1)ȡ
    (4)÷յĹ⻬Ӹ㣬ΪԲ׶ܵĸڡ
    ()бԲ׶Ϸ
    (1)ⶨһԭoԭ㻭һ߶ΣȵRb(n/2+1)
    (2)Rb(n/2)Ϊ뾶ԭ㣬m3Ϊ뾶Rb(n/2+1) һ˷ֱ𻭻߶ཻԭ㼰ΪԲģRb(n/2-1)m3Ϊ뾶һ㡣˳λ㣻
    (3)Ӹԭ㻭ֱߣ߶ӳڸӳ߶϶ӦȡLb(1)~Lb(n/2+1)ȣ
    (4)ͼԹ⻬ཻ㣬Ϊչͼ


#7                   бԲ׶ܹܿڴֱཻԲܷ˵

    1Ϊб׶Բܿڷֱཻ׶ܵĸ߶ȣƫĿһΧ仯ཻʽвʽʽѡ
    2ʾͼd1Lb1ֱΪԲֱܵȡĺȣd2d3hSb2ֱΪбԲ׶ܵĴСֱ߶ȡƫľ롢ĺȣL1ΪԲܱߵ׶߽Բܱ߾롣Ҫd1>d2>d3>0L1>0.5*d2L>L1+d2/2hSb1b2>0
    3бԲ׶ܳnȷʵnֵ4ɲ߸׶ֱ;Ҫȷ룬nֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4ཻܵʽвʽʽ֣ʽ֧ܲ뵽ܵڱڼ㣬ʽ֧ܽӴڼ㣬ʱʽܿڴһЩ֧ܵĳҲһЩ
    5չͼֱӸڰϣϷ£
    (һ)ԲչϷ
    (1)һΣȵLȵS1ΪԲܵչͼ
    (2)չͼS1м仭һֱƽLΪߣͼԱΪ׼ȡLa(1)~La(n/2+1)ȷֱƽߣ
    (3)Ϊ׼La(1)~La(n/2+1)ƽ϶ԳƶӦȡms(1)~ms(n/2+1)ȡ
    (4)÷յĹ⻬Ӹ㣬ΪԲ׶ܵĸڡ
    ()бԲ׶Ϸ
    (1)ⶨһԭoԭ㻭һ߶ΣȵRb(n/2+1)
    (2)Rb(n/2)Ϊ뾶ԭ㣬m3Ϊ뾶Rb(n/2+1) һ˷ֱ𻭻߶ཻԭ㼰ΪԲģRb(n/2-1)m3Ϊ뾶һ㡣˳λ㣻
    (3)Ӹԭ㻭ֱߣ߶ӳڸӳ߶϶ӦȡLb(1)~Lb(n/2+1)ȣ
    (4)ͼԹ⻬ཻ㣬Ϊչͼ


#8                   ԲԲ׶ܿͨ˵

    1ΪԲܣ֧ΪԲ׶ܵĿͨ׶תǡȡСֱڹ涨ΧڿȡֵͬͬԽʽչͼ㡣
    2ʾͼеd1hΪԲֱ߸߶ȣd2L1a1Ϊ׶1ֱȡƫתǶȣd3L2a2Ϊ׶2ֱȡƫתǶȣbΪĺȡҪd1>d2d3>00<=a1a2<=90L1>0.6*d2/Tan(a1)L2>0.6*d3/Tan(a2)h>0.6*d1b>0ɲ߸ͼֽйȷ롣
    3ֳܳnȷʵnֵ4ɲ߸ݹܾҪȷ롣nֵԽչͼľԽߣչͼĹӦӣ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4չͼԲݸϷʽͬͬѡϣ԰ĵΪֱչȺͽ߳ȣ߿ɸչͼֱڰϻϣѡƷϣԲ⾶ϺΪֱ㣬ϣȻڳƷ⻭ϡɲչʾͼ·
    (һ)ԲϷ
    (1)һ߶ΣȵS1߶ηֳnȷݣÿݳȵm1߶ͷȡst1ȡ
    (2)߶ϸ㻭߶εĴֱߣڸȷֵ㴹ֱȡha(1)~ha(n/2+1)㴹ֱȡhg
    (3)ͼù⻬ȡĸ㣬ΪԲܵչͼ
    (4)׶гߴͬΪԳͨԲչͼst1hgߴ硣
    ()׶1Ϸ
    (1)ⶨһԭoԭΪԲģRs2Ϊ뾶ڻȡ㣬һػȡS2ȡҳLx2ҲչǶak2ȷԲнǡȷ󣬽ֱߵԭo죻
    (2)S2ֳnȷ֣ÿȷֻΪm2߶ͷȡst2ȡߵԭoӳ
    (3)Rs2ϸΪ㣬ڸȷֵߵӳϷֱȡLa(1)~La(n/2+1)ȣӳȡLs2ȡͼù⻬ȡ㣬ɵõ׶1չͼ
    (4)Ls2La(n/4+1)غϻƫСȡSt2Ls2߶Ρ
    ()׶2Ϸ
    (1)ⶨһԭoԭΪԲģRs3Ϊ뾶ڻȡ㣬һػȡS3ȡҳLx3ҲչǶak3ȷԲнǡȷ󣬽ֱߵԭo죻
    (2)S3ֳnȷ֣ÿȷֻΪm3߶ͷȡst3ȡߵԭoӳ
    (3)Rs3ϸΪ㣬ڸȷֵߵӳϷֱȡLb(1)~Lb(n/2+1)ȣӳȡLs3ȡͼù⻬ȡ㣬ɵõ׶2չͼ
    (4)Ls3Lb(n/4+1)غϻƫСȡSt3Ls3߶Ρ


#9                   Բ׶ԲǶͷ˵

    1ΪԲ׶ԲǶͷͬԽʽչͼ㡣
    2ʾͼd1ΪԲ׶ֱܴhΪ߸߶ȣd2ΪԲֱLΪ߳ȣaΪƫתǶȣbΪĺȣҪd1>d2>00<a<=90h>0.6*(d1^2-d2^2)^0.5L>0.6*d2*tan(a)b>0
    3׶ܼԲչܳnȷߵʵnֵ4ɲ߸׶ֱҪȷ롣nֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4չͼԲݸϷʽͬͬѡϣ԰ĵΪֱչȺͽ߳ȣ߿ɸչͼֱڰϻϣѡƷϣԲ⾶ϺΪֱ㣬ϣȻڳƷ⻭ϡɲչʾͼ·
    (һ)Բ׶Ϸ
    (1)ⶨһԭoԭΪԲģRsΪ뾶ڻȡ㣬һػȡS2ȡҳLxҲչǶas1ȷԲнǡȷ󣬽ֱߵԭo
    (2)S1ֳnȷ֣ÿȷֻΪm1ߵԭo
    (3)RsϸΪ㣬ڸϷֱȡLa(1)~La(n/2+1)ȣù⻬ȡ㣬ɵõ׶ܵչͼ
    ()ԲϷ
    (1)һ߶ΣȵS2߶ηֳnȷݣÿݳȵm2
    (2)ȷֵ㻭߶εĴֱߣͼڸֱȡLb(1)~Lb(n/2+1)
    (3)ù⻬ȡĸ㣬ΪԲܵչͼ


#10                   ԲԲ׶ͷ˵

    1ΪֱͬԲܣмԲ׶ӵͷ׶¿ڵĸ߶ȡȡԲܵתǡֱڹ涨ΧڿȡֵͬͬԽʽչͼ㡣
    2ʾͼеd1d2ΪСԲֱhΪԲ߸߶ȣLΪСԲ߳ȣhpΪ׶ܸ߶ȳߴ磬LpΪ׶ˮƽߴ磬aΪԲ߼нǣbΪĺȡҪd1>d2>0a>=0(hp^2+Lp^2)^0.5>=(d1+d2)*Tan(a/2) hp>0.5*d1*tan(a/2)Lp>0.5*d2*Tan(a2)b>0ɲ߸ͼֽйȷ롣
    3ڹܽ߼ַʽһԲĵΪ뾶бڸߵϳȣоʽһڰ뾶߶бڸ߳ȣ뾶Ͷбڸ߳ȣ뾶ʽĽϱ߰԰Ϊ׼¿ڣðоʽϣĽϺҲ¿ڵĹ뾶ʽϣƴʱϿҽǶȻƫ
    4ֳܳnȷʵnֵ4ɲ߸ݹܾҪȷ롣nֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    5չͼԲݸϷʽͬͬѡϣ԰ĵΪֱչȺͽ߳ȣ߿ɸչͼֱڰϻϣѡƷϣԲ⾶ϺΪֱ㣬ϣȻڳƷ⻭ϡɲչʾͼ·
    (һ)СԲϷ
    (1)һ߶ΣȵS1(S2)߶ηֳnȷݣÿݳȵm1(m2)
    (2)߶ϸ㻭߶εĴֱߣڸȷֵ㴹ֱȡha(1)~ha(n/2+1)La(1)~La(n/2+1)
    (3)ͼù⻬ȡĸ㣬ΪԲܵչͼ
    ()׶Ϸ
    (1)ⶨһԭoԭΪԲģRa(n/2+1)Ϊ뾶ڻȡ㣬һػȡS3ȡҳLxҲչǶas1ȷԲнǣ
    (2)S3ƽֳnȷ֣ÿȷֻΪm3ߵԭo
    (3)ԭΪ㣬ڸȷϷֱͼȡRa(1)~Ra(n/2+1)ȣԸȡڵȷԭȡLb(1)Lb(n/2+1)ȡͼù⻬ȡ㣬ɵõ׶ܵչͼ


#11                   ԲԲ׶ڿͨ˵

    1ΪֱԲܣΪСֱԲܣмԲ׶ӵĿͨͨĸ߶ȡҾ롢Сֱڹ涨ΧڿȡֵͬͬԽʽչͼ㡣
    2ʾͼеd1d2ΪСԲֱhΪԲܵ߸߶ȣhpΪ׶߸߶ȣLpΪ׶Ҿ룬LΪСԲ߳ȣaΪСԲƫתǶȣbΪĺȡҪd1>d2>0h>0.3*d1*Lp/hp Lp>d1/2Lhp>0.3*d2*hp/Lp tan(a)>= Lp/hpa<=90㣬b>0ɲ߸ͼֽйȷ,ݲҪʾ롣
    3ڹܽ߼ַʽһԲĵΪ뾶бڸߵϳȣоʽһڰ뾶߶бڸ߳ȣ뾶Ͷбڸ߳ȣ뾶ʽĽϱ߰԰Ϊ׼¿ڣðоʽϣĽϺҲ¿ڵĹ뾶ʽϣƴʱϿҽǶȻƫ
    4ֳܳnȷʵnֵ4ɲ߸ݹܾҪȷ롣nֵԽչͼľԽߣչͼĹӦӣ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    5չͼԲݸϷʽͬͬѡϣ԰ĵΪֱչȺͽ߳ȣ߿ɸչͼֱڰϻϣѡƷϣԲ⾶ϺΪֱ㣬ϣȻڳƷ⻭ϡɲչʾͼ·
    (һ)СԲϷ
    (1)һ߶ΣȵS1(S2)߶ηֳnȷݣÿݳȵm1(m2)
    (2)߶ϸ㻭߶εĴֱߣڸȷֵ㴹ֱȡha(1)~ha(n/2+1)La(1)~La(n/2+1)
    (3)ͼù⻬ȡĸ㣬ΪԲܵչͼ
    ()׶Ϸ
    (1)ⶨһԭoԭΪԲģRsΪ뾶ڻȡ㣬һػȡS3ȡҳLxҲչǶas1ȷԲнǣ
    (2)S3ƽֳnȷ֣ÿȷֻΪm3ߵԭo
    (3)ԭΪ㣬ڸȷϷֱͼȡRa(1)~Ra(n/2+1)ȣRa(n/4+1)ߵȷֵRsȡLtΪߵĹյ㣬ԸȡڵȷԭȡLb(1)Lb(n/2+1)ȡͼù⻬ȡ㣬ɵõ׶ܵչͼ


#12                   ԲԲ׶ƽڿͨ˵

    1ΪֱԲܣΪСֱԲƽУмԲ׶ӵĿͨͨĸ߶ȡҾ롢Сֱڹ涨ΧڿȡֵͬͬԽʽչͼ㡣
    2ʾͼеd1d2ΪСԲֱh1ΪԲܵ߸߶ȣh2Ϊ׶߸߶ȣLΪ׶Ҿ룬h3ΪСԲ߸߶ȣbΪĺȡҪd1>d2>0h1>0.3*d1*L/h2L>d2/2h3>0.3*d2*h2/L1h2b>0ɲ߸ͼֽйȷ롣
    3ڹܽ߼ַʽһԲĵΪ뾶бڸߵϳȣоʽһڰ뾶߶бڸ߳ȣ뾶Ͷбڸ߳ȣ뾶ʽĽϱ߰԰Ϊ׼¿ڣðоʽϣĽϺҲ¿ڵĹ뾶ʽϣƴʱϿҽǶȻƫ
    4ֳܳnȷʵnֵ4ɲ߸ݹܾҪȷ롣nֵԽչͼľԽߣչͼĹӦӣ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    5չͼԲݸϷʽͬͬѡϣ԰ĵΪֱչȺͽ߳ȣ߿ɸչͼֱڰϻϣѡƷϣԲ⾶ϺΪֱ㣬ϣȻڳƷ⻭ϡɲչʾͼ·
    (һ)СԲϷ
    (1)һ߶ΣȵS1(S2)߶ηֳnȷݣÿݳȵm1(m2)
    (2)߶ϸ㻭߶εĴֱߣڸȷֵ㴹ֱȡha(1)~ha(n/2+1)La(1)~La(n/2+1)
    (3)ͼù⻬ȡĸ㣬ΪԲܵչͼ
    ()׶Ϸ
    (1)ⶨһԭoԭΪԲģRsΪ뾶ڻȡ㣬һػȡS3ȡҳLxҲչǶas1ȷԲнǣ
    (2)S3ƽֳnȷ֣ÿȷֻΪm3ߵԭo
    (3)ԭΪ㣬ڸȷϷֱͼȡRa(1)~Ra(n/2+1)ȣRa(n/4+1)ߵȷֵRsȡLtΪߵĹյ㣬ԸȡڵȷԭȡLb(1)Lb(n/2+1)ȡͼù⻬ȡ㣬ɵõ׶ܵչͼ


#13                   б׶Բͨ˵

    1ΪбԲ׶ԲཻͨԲܿΪб׶ཻмǰ岹ϡùصб׶ܿһΧڿƫģ²ڴС仯
    2ͼd1ΪԲֱd2Ϊб׶ֱܳL1ΪԲܳȣL2ΪԲܱߵ߽㳤ȣhΪԲܱߵ׶ܿڸ߶ȣL3Ϊ׶ܵĳȾ룬wΪ׶²ĿȣLpΪ׶¿Բƫľ룬pyΪ׶¿y᷽ƫľ룬 b1ΪԲܰĺȣb2Ϊ׶ܰĺȣɲ߸ͼֽ֪ȷ롣Ҫd2hb1b2>0d1>W>=d2Lp >=0L3>=wL2>L3/2+bL1-L2> L3/2+bL3/2>= d2/2+b+LppyΪʵֵҪ밴ʾݡ
    3׶Ͽܳnȷʵnֵ4ɲ߸ֱҪȷnֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4׶չͼ߷ϣԲܲƽ߷ϡݰ¿ʽ߿ɸչͼֱڰϻϣҪڳƷϣԹ⾶Ϊھ룬Ϻȣ, ɲչʾͼ·ϣ
    (һ)׶Ϸ
    (1)һԭ㣬ԭΪ㻭һֱ߶ΣȵRa(1)[Rb(1)]
    (2)ԭΪԲRa(2)[Rb(2)]Ϊ뾶߶εߣ߶һ˵ΪԲm2Ϊ뾶ཻõ㡣ΪԲģm2Ϊ뾶ԭΪԲRa(3)Rb(3)Ϊ뾶ཻٵ㣬λRa(n/2+1)[Rb(n/2+1)]㣬õn/2+1㡣
    (3)ͼԭ㵽㻭ֱ߲죬ȻڸֱϴӽӦȡLc(1)~Lc(n/2+1)[Ld(1)~Ld(n/2+1)]ȡ
    (4)ͼֱù⻬ȡĸ㣬Ϊ׶ֵ߲չͼLc(n/2+1)Ld(n/2+1)Lt߶λǰ帽ߣɵõ׶չͼ
    ()ԲϷ
    (1)һΣȵL1ȵS1е㻭ƽڱߣΪ׼ȡms(n/2)/2Ȼƽߣٰͼ²Ϊ׼ms(1)~ms(n/2)ƽn/2
    (2)ͼ԰Ϊ׼Ϊڸȷ߷ֱȡLa(1)~La(n/2+1)Lb(1)~Lb(n/2+1)ȣ
    (3)ͼ4ǵΪת۵ֱù⻬ȡĸ㣬ֱӽǵ㣬ΪԲܵչͼ
    ()w=d2׶Ϸ
    (1)໥ֱ߶ΣԴֱ߶Ϊ׼ta(1)~ta(n/2)ƽn/2+1
    (2)ͼˮƽΪ׼ֱڸֱȡpb(1)~pb(n/2+1)ȣȡpd(1)~pd(n/2+1)ȡ
    (3)ͼֱù⻬ȡĸ㣬ǵֱ֮ӣΪ׶ֵ߲չͼ
    (4)Ltpa(n/2+1)+pc(n/2+1)pb(n/4+1)+pd(n/4+1)߶λΣpa(n/2+1)+pc(n/2+1)Ϊ׼ͬҰ벿壬ȻLtpa(1)+pc(1)pb(1)+pd(1)߶λΣȫɵõ׶չͼ


#14                    Բ׶ͨ˵

    1ΪԲܣ֧ΪԲ׶ܣ֧Բ߲ͬһƽĿͨ׶תǡȡСֱֵͬ׶ܿͼϴֱߣ׶ԲΪƽӣԽʽչͼ㡣
    2ʾͼеd1ΪԲֱhΪԲܸ߶ȣd2Ϊ׶СֱLΪ׶ͼĳȡaΪ׶ܿƫתǶȣbΪĺȡҪd1>d2 >00<a<=90L>0.6*d2/Tan(a)hb>0ɲ߸ͼֽйȷ롣
    3ֳܳnȷʵnֵ4ɲ߸ݹܾҪȷ롣nֵԽչͼľԽߣչͼĹӦӣ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4չͼֱӸڰϣԲܼ׶ܾɲչʾͼ·
    (һ)ԲϷ
һΣȵS1ȵhΪԲܵչͼ
    ()׶Ϸ
    (1)һֱ߶ΣȵLa(1)ͬʱҲLb(1)ĳȣ
    (2)La(1)߶Ϊԭ㣬La(2)m2Ϊ뾶һ㣬Lb(2)m2Ϊ뾶Ҳһ㣬Խ㼰La(1)һΪԭ㣬La(3)Lb(3)m1Ϊ뾶һ㡣˳߶ε˻㣻
    (3)ͼԹ⻬ߺֱཻ㣬Ϊչͼ



#15                    ƫ׶ԲYͨ˵

    1ΪԲܣ֧ΪԲƫ׶ܣ֧Բ߲ͬһƽYͨ׶תǡȡСֱƫֵͬ׶ܿͼϴֱߣ׶Բཻתǵһбǣ׶׶ཻݲͬԽȲС׶ֱȷӿڰԽʽչͼ㡣
    2ʾͼеd1ΪԲֱhΪԲܸ߶ȣd2Ϊ׶СֱLΪ׶ͼĳȡaΪ׶ܿƫתǶȣbΪĺȡҪd1>d2 >00<a<=90L>0.6*d2/Tan(a)h>d1*tan(a/2)/2b>0ɲ߸ͼֽйȷ롣
    3ֳܳnȷʵnֵ4ɲ߸ݹܾҪȷ롣nֵԽչͼľԽߣչͼĹӦӣ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4չͼֱӸڰϣԲܼ׶ܾɲչʾͼ·
    (һ)ԲϷ
    (1)һ߶ΣȵS1߶ηֳnȷݣÿݳȵm1
    (2)߶ϸ㻭߶εĴֱߣڸȷֵ㴹ֱȡha(1)~ha(n/2+1)
    (3)ͼù⻬ȡĸ㣬ΪԲܵչͼ
    ()׶Ϸ
    (1)һֱ߶ΣȵLa(1)
    (2)La(1)߶Ϊԭ㣬Lb(1)mΪ뾶Ҳһ㣬Խ㼰La(1)һΪԭ㣬La(2)m2Ϊ뾶һ㡣˳߶εұ߻㣬La(n/4+1)La(3n/4+1)֮䣬m3m2
    (3)ͼԹ⻬ߺֱཻ㣬Ϊչͼ



#16                   ԲˮƽƫཻԲ׶ܷ˵

    1ΪԲˮƽԲ׶ཻƫ׶ܼԲܸߴ硢һΧȡֵĹཻʽвʽʽѡԲаϺͳƷϷʽ⻹ԲܸڴӲǿĹܡ
    2ͼd1d2Ϊ׶ܵĴСֱd3ΪԲֱܵh1Ϊ׶ܵĸ߶ȣLΪԲܵĳȣh2ΪԲ߽׶ܱ߸߶ȣpΪԲ׶ƫb1Ϊ׶ܰĺȣb2ΪԲܰĺȣɲȷ롣Ҫd1>d2>0d3>0p>=0h2>d3/2h1>d3L>(d1-d2)/2b1b2>0
    3Բܳnȷߵʵnֵ4ɲ߸ԲֱҪȷ롣nֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4ཻܵʽвʽʽ֣ʽ֧ܲ뵽ܵڱڼ㣬ʽ֧ܽӴڼ㣬ʱʽܿڴһЩ֧ܵĳҲһЩ
    5ӲǿĹܣӲǿ塯ťӲǿ棬ýв⣬˲ǿĺȺͿbzwzɸҪ롣     6չͼԲݸϷʽͬͬѡϣ԰ĵΪֱչȺͽ߳ȣ߿ɸչͼֱڰϻϣѡƷϣԲ⾶ϺbtΪֱ㣬ϣȻڳƷ⻭ϡɲչʾͼ·
    (һ)Բ׶Ϸ
    (1)ⶨһԭoԭΪԲģRs1Rs2Ϊ뾶ֱ𻭻Rs1Ļȡ㣬һػȡS1ȡҳLxҲչǶasȷԲнǡȷ󣬽ֱߵԭoRs1RS2ֱΧΪ׶չͼ
    (2)չͼмԭ㻭һߣԭΪԲģRa(1)~Ra(n/2+1)ֱΪ뾶ңҳms(1)~ms(n/2+1)ֱӦҽȡ߸㣬ҳms(n/2+2)~ms(n+1)ֱӦȡ߸㣻
    (3)ͼù⻬ӸΪߣΪԲܵĸڡ
    ()ԲϷ
    (1)һ߶ΣȵS3߶ηֳnȷݣÿݳȵm3
    (2)ͼȷֵ㻭߶εĴֱߣڸֱȡLa(1)~La(n+1)
    (3)ù⻬ȡĸ㣬ΪԲܵչͼ
    ()ǿϷ
    (1)⻭һֱߣ߶ȴlb(n/2)ȡһΪ߻׼㣻
    (2)ͼߴӻ׼Lb(1)Lb(n)㳤ȣұ߻Lb(1)Lb(n/2)һƽߴֱߣ߻Lb(n/2+1)Lb(n)һƽߴֱߣȻڸƽ϶Ӧȡma(1)ma(n)ȣ
    (3)÷յĹ⻬Ӹ㣬Ϊ֧ܵĸڡ
    (4)ԸڸΪ׼ȡǿwzõӦĸ㣬÷յĹ⻬Ӹ㣬Ϊǿͼ





#17                   Բ׶Բܷ˵

    1ΪԲ׶ֱཻܴԲͨԲΪԲмΰ岹ϡԲ׶ܿһΧڿС²СڵϲԲ׶ܵչ㣬Բܿڼӹʱֳи
    2ͼL1ΪԲ׶¿ڳȣW1ΪԲ׶¿ڿȣÿھעʾʱL2ΪԲ׶ϿڳȣW2ΪԲ׶ϿڿȣhΪԲ׶߶ȣýǶȱעʾʱa1ΪԲ׶ܳȷߵбǶȣa2ΪȷߵбǶȣhΪԲ׶С߶ȣRΪԲܵİ뾶bΪ׶ܰĺȣɲ߸ͼֽ֪ȷ롣ҪW1hb>0L1>W1W2>=W1L2>=L1R>=L22a1a2>=0ֵҪ밴ʾݡ
    3׶¿ܳnȷʵnֵ4ɲ߸ֱҪȷnֵԽչͼľԽߣչͼĹӦӡ˹һȡn=1636ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4׶Բչͼһ߷ϣW1=W2ƽ߷ϣмΰԲཻǷϡݰ¿ʽ߿ɸչͼֱڰϻϣɲչʾͼ·ϣ
    (һ)W2>W1ʱϷ
    (1)ⶨһԭ㣬ԭΪ㻭һֱ߶ΣȵRa(n/4+1)
    (2)ԭΪԲRa(n/4)Ϊ뾶߶εߣ߶һ˵ΪԲm1Ϊ뾶ཻõ㡣ΪԲģm1Ϊ뾶ԭΪԲRa(n/4-1)Ra(1)Ϊ뾶ཻõn/2+1㡣
    (3)ͼԭ㵽㻭ֱ߲죬ȻڸֱϴӽӦȡLc(1)Lc(n/4+1)ȣɵõչͼ
    (4)Ra(1)ΪԲģLa(n/4)Ϊ뾶Lc(1)ΪԲģm1Ϊ뾶ཻԽΪԲģm1Ϊ뾶Ra(1)ΪԲLa(n/4-1)La(1)Ϊ뾶ཻóƽһĽ㣻
    (5)La(1)Ra(1)ֱΪԲģLa(1)Lp1Ϊ뾶õµĽ㣬µĽΪԲģLa(1)La(n/4+1)Ϊ뾶ֱ𻭻õƽһĽ㣻
    (6)ͬɵõĻƽĸ㣻
    (7)ͼֱù⻬߻ֱȡĸ㣬Ϊ׶ܵչͼ
    ()W2=W1ʱϷ
    (1)һn/2+1ֱߣȴڵLb(n/4+1)ɣȵms(1)ms(n/4)ֱе㻭ˮƽߡ
    (2)ͼˮƽΪ׼ֱڸֱȡLd(1)Ld(n/4+1)ȣȡLb(1)Lb(n/4+1)ȣɵõ㣻
    (3)ͬõƽĸ㣻
    (4)ͬɵõĻƽĸ㣻
    (5)ͼֱù⻬߻ֱȡĸ㣬Ϊ׶ܵչͼ
 

