
#1                   Բ׶ܷ˵

    1ʾͼdΪ׶ھhΪ׶ܸ߶ȣbΪĺȣҪdhb>0
    2չͼֱӸڰϣɲչʾͼ·
 ⶨһԭoԭΪԲģRsΪ뾶ڻȡ㣬һػȡSȡҳLxҲչǶaȷԲнǡȷ󣬽ֱߵԭoRsֱΧΪ׶չͼ
    3Բ׶չͼȡҳLxȷʱעaֵСa<=180a>180ͬչʾͼ


#2                   ƽԲ׶ܷ˵

    1㹫ʽʺڸְԲ׶̨չͼ㣻
    2ͼd1d2ΪԲ׶̨ˡСھhΪ׶̨߶ȣbΪĺ, tΪչϷָȷtҪd1>d2>0h>0b>01t36
    3չͼֱӸڰϣɲչʾͼ·
 ⶨһԭoԭΪԲģRs1Rs2Ϊ뾶ֱ𻭻Rs1Ļȡ㣬һػȡS1ȡҳLx1ҲչǶasȷԲнǡȷ󣬽ֱߵԭoRs1RS2ֱΧΪ׶չͼ
    4Բ׶̨չͼȡҳLxȷʱעaֵСa<=180a>180ͬչʾͼ
    5һչt


#3                   бԲ׶ܷ˵

    1ΪһƽбԲ׶γɵĹͼd1Ϊ׶ܴھd2ΪߴСھhΪ߸߶ȣbΪĺȣaΪбļнǡҪd1>d2>00<a<90h>d2*Tan(a)/2b>0
    2׶ܴܳnȷʵnֵ4ɲ߸׶ֱ;Ҫȷ룬nֵԽչͼľԽߡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    3չͼֱӸڰϣɲչʾͼ·
    (1)ⶨһԭoԭΪԲģRsΪ뾶RsĻȡ㣬һػȡSȡҳLxҲչǶasȷԲнǡȷ󣬽ֱߵԭo
    (2)Sֳnȷ֣ÿȷֻΪmߵԭo
    (3)RsϸΪ㣬ڸԭϷֱȡLa(1)~La(n/2+1)ȣù⻬ȡ㣬ɵõ׶ܵչͼ


#4                   бԲ׶ܷ˵

    1Ϊ¿ԲϲƫĵбԲ׶ܣdΪԲֱhΪ׶ܸ߶ȣbΪĺȣsΪƫҪdhsb>0
    2չͼΪչ׶Բܳnȷʵn4ɲ߸ֱҪȷ롣nֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    3չͼֱӸڰϣɲչʾͼ·
    (1)һֱߣLa(1)ȣ
    (2)La(1)߶Ϊԭ㣬La(2)mΪ뾶һ㣬Խ㼰La(1)һΪԭ㣬La(3)mΪ뾶һ㡣˳λ㣻
    (3)ͼԹ⻬ཻ㣬Ϊչͼ


#5                   бԲ׶̨˵

    1ΪְƫĵбԲ׶̨ҲΪµȾбԲܹ
    2ͼd1d2ΪԲ׶̨СھhΪ׶̨߶ȣbΪĺȣpΪԲƫͼֽɼ߸йسߴȷҪd1>=d2>0,  hpb>0
    3չͼΪչ׶Բܳnȷÿһߵʵn4ɲ߸ֱҪȷ룬nֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4չͼͼѡһǷ߷һηڲиѡѡ񡮷߷չͼһԭΪ׼ģѡηչͼɲͬ߶ɵιɵģɲչͼѡԼϰߵչd1=d2ʱ޷÷߷ͼ˲ѡչηչͼ
    5չͼֱӸڰϣɲչʾͼ·(ܷ߷)
    (1)ⶨһԭ㣬ԭ㻭һ߶ΣȵRa(n1/2+1)
    (2)Ra(n1/2)Ϊ뾶ԭ㣬m1Ϊ뾶Ra(n1/2+1)һ˷ֱ߶໭ཻԭ㼰ΪԲģRa(n1/2-1)m1Ϊ뾶һ㣬˳λ㣻
    (3)Ӹԭ㻭ֱߣٴԭڸ߶϶ӦȡRb1~Rb(n/2+1)ȣ
    (4)ͼԹ⻬ཻ㣬Ϊչͼ


#6                   쾶Բбƽӹܷ˵

    1ΪһΧڿȡǶȡƫͰ쾶Բбƽӹܣ
    2ͼd1Ϊ¿ֱd2ΪϿֱhΪĸߣaΪϿбǣpΪԲˮƽƫbΪĺȣɲ߸ͼֽ֪롣ʱ¿ֱֱϵȷapֵšpֵOΪֵұΪֵaͼʱΪֵ ෴ʱΪֵҪ-90<=a<=90㣬bd1d2>0h>d2*Tan(a)/2
    3ϡԲܳnȷʵnֵɲ߸ֱСҪȷȡ4nֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4չͼֱӸڰϣɲչʾͼ·
    (1)һֱߣLa1ȣ
    (2)La1߶Ϊԭ㣬Lb1m1Ϊ뾶һ㣬Խ㼰La1һΪԭ㣬La2m2Ϊ뾶һ㡣˳߶ε˻㣻
    (3)ͼԹ⻬ཻ㣬Ϊչͼ


#7                   쾶Բƽбӹܷ˵

    1ھǶȡƫͰھΪԲϿƽ¿бƫ쾶ܽͷչͼ㡣
    2ͼd1d2ֱΪ¡ԲֱhΪ߸߶ȣpΪԲˮƽƫaΪ¿бǣbΪĺȡʱ¿ԲΪԭ㣬ˮƽΪxyƽֱȷapֵpֵ0ΪֵұΪֵaͼΪֵ,෴ʱΪֵҪ-90<=a<=90,d1d2b>0h>d1*Tan(a)/2
    3ϡ¿ܳnȷʵnֵȡ4ɲ߸ݿھҪȷ룬nֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4ֱӸչʾͼڰ, ɲչʾͼ·
    (1)һֱߣLa(n/2+1)ȣ
    (2)La(n/2+1)߶Ϊԭ㣬Lb(n/2)m2Ϊ뾶һ㣬Խ㼰La(n/2+1)һΪԭ㣬La(n/2)m1Ϊ뾶һ㡣˳߶ε˻㣻
    (3)ͼԹ⻬ཻ㣬Ϊչͼ


#8                   ׶Ƕͷ˵

    1ΪԲ׶ͷֱǶȺͰȡֵչͼ㡣
    2ʾͼd1d2ֱΪͷĴСֱhΪ׶1߸߶ȣLΪ׶2߳ȣaΪͷתǣbΪܲĺȡҪd1>d2>0hL>d1*Sin(a/2)0<a<=90b>0Ϊ˼СܵaС45
    3ϡԲܳnȷʵnֵɲ߸ֱҪȷȡ4nֵԽչͼԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4չͼֱӸڰϣɲչʾͼ·
    (1)ⶨһԭoԭΪԲģRs1Rs2Ϊ뾶ֱ𻭻Rs1Ļȡ㣬һػȡS1ȡҳLxҲչǶasȷԲнǡȷ󣬽ֱߵԭoRs1RS2ֱΧΪͷչ
    (2)S1ֳnȷ֣ÿȷֻΪm1ߵԭo
    (3)Rs1ϸΪ㣬ڸԭϷֱȡha(1)~ha(n/2+1)ȣù⻬ȡ㣬ɵõ׶1׶2չͼ


#9                   ׶Ƕȶͷ˵

    1ΪͷǶȺͷĶ쾶ԲͷҲ׻˵ţͷչͼ㡣
    2ͼd1d2ΪͷСھaΪͷתǣRΪͷתǰ뾶bΪĺȡҪd1>d2>00<a<=360㣬b>0R>=d1ܵطխd1<R>0.6*d1ܵӡɲȷ롣
    3ͷΪttΪ˸ΪڣҪt>=2tֵɲȷ룬tԽͷԽ˳ӣһȡ15<=a/t<=25
    4չͼΪչ׶Բܳnȷʵnֵɲ߸ֱҪȷ룬n4nֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    5չͼֱӸڰϣɲչʾͼ·
    (1)ⶨһԭoԭΪԲģRs1Rs2Ϊ뾶ֱ𻭻Rs1Ļȡ㣬һػȡS1ȡҳLxҲչǶasȷԲнǣȷ󣬽ֱߵԭoRs1RS2ֱΧΪͷչ
    (2)S1ֳnȷ֣ÿȷֻΪm1ߵԭo
    (3)ԭΪ㣬ڸԭϷֱȡRd(1,1)~Rd(t,n/2+1)ȣù⻬ȡ㣬ɵõͷڵչͼ


#10                   Բ׶ǶཻԲ׶ܷ˵

    1Ϊֱ׶ȡԲ׶ǶཻĹչͼ㡣ཻʽвʽʽѡ
    2ͼd1d2ΪԲ׶ܴСֱd3d4ΪСԲ׶ܴСֱh1Ϊ׶ܸ߶ȣLΪС׶ܳȣh2ΪС׶߽׶ܱ߸߶ȣ׶ܽ߶ȣaΪ׶ཻǶȣb1b2ΪС׶ܰĺȡҪd1>d2>0d1>d3>d4>0h2>d3/(2*Cos(a))h1>d3/cos(a)L>d3*Sin(a)/2b1b2>0
    3չͼΪչ㣬С׶ֳܷnȷʵ׶ܸڵĳߴ磬nֵ4ɲ߸׶ֱҪȷnֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4ཻܵʽвʽʽ֣ʽ֧ܲ뵽ܵڱڼ㣬ʽ֧ܽӴڼ㣬ʱʽܿڴһЩ֧ܵĳҲһЩ
    5չͼֱӸڰϣ׶ܾɲչʾͼ·
    (һ)׶1Ϸ
    (1)ⶨһԭoԭΪԲģRs1Rs2Ϊ뾶ֱ𻭻Rs1Ļȡ㣬һػȡS1ȡҳLx1ҲչǶas1ȷԲнǡȷ󣬽ֱߵԭoRs1RS2ֱΧΪ׶չͼ
    (2)չͼмԭ㻭һߣԭΪԲģRc(1)~Rc(n/2+1)ֱΪ뾶ңҳms(1)~ms(n/2+1)ֱӦԳ߽ȡ߸㣻
    (3)ͼù⻬ӸΪߣΪ׶2ĸڡ
    ()׶2Ϸ
    (1)ⶨһԭoԭΪԲģRs4Ϊ뾶ڻȡ㣬һػȡS4ȡҳLx4ҲչǶas2ȷԲнǡȷ󣬽ֱߵԭo죻
    (2)S4ֳnȷ֣ÿȷֻΪm4ߵԭoӳ
    (3)Rs4ϸΪ㣬ڸߵӳϷֱȡLa(1)~La(n/2+1)ȣù⻬ȡ㣬ɵõ׶2չͼ


#11                   бԲ׶ǶཻԲ׶ܷ˵

    1ΪбԲ׶ཻԲ׶ཻܹǶȿһΧ仯ཻʽвʽʽѡ
    2ʾͼd1d2ΪԲ׶ܴСֱd3d4ΪбԲ׶ܴСֱh1b1ΪԲ׶ܵĸ߶ȼh2b2Ϊб׶ܵĸ߶ȼpΪ׶߾룬SΪбԲ׶¿ƫľ롣Ҫd1>d2>0, d1>d3+2*p, d3>d4>0, p>=0, S>(d1+d2)/2-ph1h2b1b2>0
    3չͼΪչ㣬б׶ֳܷnȷʵ׶ܸڵĳߴ磬nֵ4ɲ߸׶ֱҪȷnֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4ཻܵʽвʽʽ֣ʽ֧ܲ뵽ܵڱڼ㣬ʽ֧ܽӴڼ㣬ʱʽܿڴһЩ֧ܵĳҲһЩ
    5չͼֱӸڰϣ׶ܾɲչʾͼ·
    (һ)Բ׶Ϸ
    (1)ⶨһԭoԭΪԲģRs1Rs2Ϊ뾶ֱ𻭻Rs1Ļȡ㣬һػȡS1ȡҳLx1ҲչǶas1ȷԲнǡȷ󣬽ֱߵԭoRs1RS2ֱΧΪ׶չͼ
    (2)չͼмԭ㻭һߣԭΪԲģRa(1)~Ra(n/2+1)ֱΪ뾶ңҳms(1)~ms(n/2+1)Գ߷ֱӦȡ߸㣻
    (3)ͼù⻬ӸΪߣΪ׶2ĸڡ
    ()бԲ׶Ϸ
    (1)ⶨһԭoԭ㻭һֱߣRb(1)ȣ
    (2)Rb(2)Ϊ뾶ԭ㣬m4Ϊ뾶Rb(1) һ˷ֱ𻭻һ㡣ԭ㼰ΪԲģRb(3)m4Ϊ뾶һ㡣˳λ㣻
    (3)Ӹԭ㻭ֱߣ߶ӳڸӳ߶϶ӦȡLb(1)~Lb(n/2+1)ȣ
    (4)ͼԹ⻬ཻ㣬Ϊչͼ


#12                   бԲ׶ܿͨ˵

    1ΪбԲ׶ֱܴͬСֱ߶ȡƫľɲཻͬɵбԲ׶ͨչͼ㡣
    2 ʾͼd1Ϊֱͨd2d3ֱΪ׶12ֱh1h2ֱΪ׶12ĸ߶ȣp1p2ֱΪ׶12ƫľ룬bΪĺȡҪd1>d2d3>0p1>d2/2+bp2>d3/2+bh1h2b>0Ϊ˼ͨܵh1>=p1h2>=p2
    3չͼΪչ㣬׶ܳnȷʵnֵ4ɲ߸׶ֱ;Ҫȷ룬nֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4չͼ,ֱӸڰϣɲչʾͼ·(׶ϷͬΪ׶1ݣΪ׶2)
    (1)ⶨһԭ㣬ԭ㻭һ߶ΣȵRa(n/2+1) [Rb(1)]
    (2)ͼ߶ԭΪԲģRa(n/2)  [Rb(2)]Ϊ뾶ֱ𻭻߶࣬߶һ˵ΪԲģm2 [m3]Ϊ뾶Բֱཻԭ㼰ΪԲģRa(n/2-1)m2 [Rb(3)m3]Ϊ뾶㡣˳λ㣻
    (3)Ӹԭ㻭ֱߣ߶ӳڸӳ߶϶ӦȡLa(n/2+1)~La(1) [Lb(1)~Lb(n/2+1)]ȣ
    (4)ͼԹ⻬Сཻ㣬ػȡSp1[Sp2]ȡ㣬ֱԭ㻭ֱߣӳӳȡLs1[Ls2]ȣ
    (5)ͼԹ⻬㣬Ϊչͼ


#13                   бԲ׶Բ׶ܿͨ˵

    1ΪбԲ׶Բ׶ƫģϿֱĿͨ
    2ʾͼd1Ϊͨ˵ھd2h1ΪԲ׶ܵСھ͸߶ȣd3h2SֱΪбԲ׶ܵ϶ֱ߶Ⱥƫľ;bΪͨİĺȡҪd1>d2d3>o, S>(d2+d3)/2, h1h2b>oΪ˼ͨܵh1h2>=S
    3Բ׶ܾnȷߵʵnֵ4ɲ߸׶ֱ;Ҫȷ롣nֵԽչͼԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4չͼֱӸڰϣ׶ܾɲչʾͼ·
    (һ)Բ׶Ϸ
    (1)ⶨһԭoԭΪԲģRs1Rs2Ϊ뾶ֱ𻭻Rs1Ļȡ㣬һػȡS1ȡҳLxҲչǶasȷԲнǡȷ󣬽ֱߵԭo
    (2)Rs1мԭ㻭һߣnȷֻm1ߵĻϸn/4ȷ,ߵԭoԭΪԲģڸ߶ȡRa(1)~Ra(n/4)ȣڻе㴦ȡmp1
    (3)ͼù⻬Ӹ㣬ΪԲ׶ܵչͼ
    ()бԲ׶Ϸ
    (1)ⶨһԭ㣬ԭ㻭һֱߣRb(1)ȣ
    (2)Rb(2)Ϊ뾶ԭ㣬m4Ϊ뾶Rb(1) һ˷ֱ𻭻һ㡣ԭ㼰ΪԲģRb(3)m4Ϊ뾶һ㡣˳λ㡣mp2Ϊ뾶Rb(n/4+1)ΪԲĻRpཻ
    (3)Ӹԭ㻭ֱߣ߶ӳڸӳ߶϶ӦȡLb(1)~Lb(n/2+1)ԼLpȣ
    (4)ͼԹ⻬ཻ㣬Ϊչͼ


#14                   Բ׶ܷ˵

    1ΪײԲΣˮƽҲΪԲΣΪһԲ׶ܹչͼ㡣
    2ʾͼLwֱΪԲĳͶᣬhΪ׶ܸ߶ȣbΪĺȡҪL>w>0hb>0
    3Բֳܳnȷߵʵnֵ4ɲ߸ֱҪȷnֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4չͼиɸֱڰϣɲչʾͼ·
    (1)ⶨһԭ㣬ԭ⻭һ߶Σȵha(n/4+1)
    (2)ha(n/4)Ϊ뾶ԭΪԲ߶ε໭mΪ뾶߶һ˵ΪԲĻཻ㣻
    (3)ha(n/4+1)~ha(1)Ϊ뾶ԭΪԲģmΪ뾶ΪԲķֱ𻭻ཻn+1㣻
    (4)㻭ֱߵԭ㣬ù⻬Ӹ㣬Ϊչͼٸ컡ǷΪSϡ


#15                   Բӹܷ˵

    1ΪھΪԲΣ¿ˮƽϿڿбƫĵӹܡ
    2ʾͼL1w1Ϊ¿Բ泤ᣬL2w2ΪϿԲ泤ᣬhΪԲߴֱ߶ȣaΪϿбǶȣbΪĺȣpxpyΪxᡢyƫҪL1L2w1w2b>00<=a<=90h>L2*sin(a)/2aܴױߵļнǣpxpyֵҪ¿ԲγɵƽֱϵȷpxoҷΪ,ΪpyoϷΪ·ΪoغΪ㡣ִʾ롣
    3ӹܵԲֳܳnȷʵnֵ4ɲ߸ֱҪȷnֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4չͼиɸֱڰϣɲչʾͼ·
    (1)һֱ߶ΣΪha(1)
    (2)hb(1)Ϊ뾶߶һ˵ΪԲģm2Ϊ뾶߶һ˵ΪԲķֱ𻭻һ㡣߶ζ˵ΪԲģm1Ϊ뾶ΪԲģha(2)Ϊ뾶ֱ𻭻ٽһ㣻
    (3)ha(1)~ha(n+1)hb(1)~hb(n)m1m2ֱΪ뾶˳λ㣻
    (4)Ѹù⻬ͼΪչͼٸ˻ǷΪS1S2ϡ


#16                   ԲԲƫӹܷ˵

    1ΪϿԲΣ¿ԲΣƽпƫĵӹܹ
    2ʾͼLwΪԲ泤ᣬdΪԲֱhΪӹܵĸ߶ȣbΪĺȣpxpyΪ˿xᡢyƫҪL>w>0dhb>0pxpyֵҪ¿ԲֱγɵƽֱϵȷpxoҷΪΪpyoϷΪ·ΪoغΪ㡣
    3ӹܵԲڼԲֳܳnȷʵnֵ4ɲ߸ֱҪȷnֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4չͼиɸֱڰϣɲչʾͼ·
    (1)һֱ߶ΣΪha(1)
    (2)߶һ˵ΪԲģhb(1)Ϊ뾶߶һ˵ΪԲģm2Ϊ뾶һ㡣߶ζ˵ΪԲģm1Ϊ뾶뽻ΪԲģha(2)Ϊ뾶һ㣻
    (3)ha(1)~ha(n+1)hb(1)~hb(n)m1m2ֱΪ뾶˳λ㣻
    (4)Ѹù⻬ͼΪչͼٸ˻ǷΪS1S2ϡ


#17                   Բƽбƫӹܷ˵

    1ϿΪԲˮƽƽУ¿ΪԲˮƽǣҿƫĵӹܹ
    2ʾͼLwΪԲĳᣬdΪԲֱhΪ߸߶ȣaΪԲбǣbΪĺȣpxpyΪ˿xᡢyƫҪL>w>00o<a<=90oh>L*Sin(a)/2db>0pxpyֵҪ¿ԲеΪo㣬ˮƽΪƽֱϵȷpxoҷΪΪpyoϷΪ·ΪoغΪ㡣
    3ӹܵԲڼԲֳɵȷߵʵnֵ4ɲ߸ֱҪȷnֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4չͼиɸֱڰϣɲչʾͼ·
    (1)һֱ߶ΣΪha(1)
    (2)hb(1)Ϊ뾶߶һ˵ΪԲģm2Ϊ뾶߶һ˵ΪԲķֱ𻭻һ㡣߶ζ˵ΪԲģm1Ϊ뾶ΪԲģha(2)Ϊ뾶ֱ𻭻ٽһ㣻
    (3)ha(1)~ha(n+1)hb(1)~hb(n)m1m2ֱΪ뾶˳λ㣻
    (4)Ѹù⻬ͼΪչͼٸ˻ǷΪS1S2ϡ


#18                   Բбƽƫӹܷ˵

    1ΪϿԲˮƽǣ¿ΪԲˮƽƽУҿƫĵӹܹ
    2ʾͼLwΪԲĳᣬdΪԲֱhΪ߸߶ȣaΪԲбǣbΪĺȣpxpyΪ˿xᡢyƫҪL>w>0-90<=a<=90h>R*Sin(a)db>0pxpyֵҪ¿ԲֱγɵƽֱϵȷpxoҷΪΪpyoϷΪ·ΪoغΪ㡣aֵƽֱϵķȷʾͼķΪ֮Ϊ
    3ӹܵԲڼԲֳɵȷߵʵnֵ4ɲ߸ֱҪȷnֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4չͼиɸֱڰϣɲչʾͼ·
    (1)һֱ߶ΣΪha(1)
    (2)hb(1)Ϊ뾶߶һ˵ΪԲģm2Ϊ뾶߶һ˵ΪԲķֱ𻭻һ㡣߶ζ˵ΪԲģm1Ϊ뾶ΪԲģha(2)Ϊ뾶ֱ𻭻ٽһ㣻
    (3)ha(1)~ha(n+1)hb(1)~hb(n)m1m2ֱΪ뾶˳λ㣻
    (4)Ѹù⻬ͼΪչͼٸ˻ǷΪS1S2ϡ


#19                   бԲ׶90ͨ˵

    1ΪбԲ׶ֱܴͬСֱ߶ȡƫľҲͬСԲԲڴֱཻɵбԲ׶ͨչͼ㡣
    2 ʾͼd1Ϊֱͨd2Ϊ׶С˵ֱhΪ׶ܵĸ߶ȣLΪ׶ܵƫľ룬bΪĺȡҪd1>d2>0h>d2/2+bL>d1/2+bb>0Ϊ˼ͨܵh>=L
    3չͼΪչ㣬׶ܳnȷʵnֵ4ɲ߸׶ֱ;Ҫȷ룬nֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4չͼ,ֱӸڰϣɲչʾͼ·(׶Ϸͬ)
    (1)ⶨһԭ㣬ԭ㻭һ߶ΣȵLa(1)
    (2)ͼ߶ԭΪԲģLb(1)Ϊ뾶߶࣬߶һ˵ΪԲģm1Ϊ뾶Բֱཻԭ㼰ΪԲģLa(2)m2Ϊ뾶㡣˳λ㣻
    (3)ͼԹ⻬ӴСཻ㣬ֱLa(n/2+1)ˣΪչͼߣӦ㣬ΪչͼʱĻ׼ߣ


#20                      һбԲ׶ͨ˵

    1ΪбԲ׶ܴˡСֱ߶ȡƫľͬȷ־ཻɵбԲ׶ͨϲֵĶϣҲͨܵĶڷֹܡ
    2 ʾͼd1Ϊͨ׶ֱܴd2Ϊ׶Сֱd3ΪС˹ܿڵĵȷֱhΪͨ׶ܵĸ߶ȣbΪĺȡҪd1>d2>0d3>d21.155b>0Ϊ˼ͨ׶ܵʹ˳h>=d10.8d3<=1.1d1
    3չͼΪչ㣬׶ܳnȷʵnֵ4ɲ߸׶ֱ;Ҫȷ룬nֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4չͼ,ֱӸڰϣɲչʾͼ·(׶ܹ3ÿߴͬ)
    (1)ⶨһԭ㣬ԭ㻭һ߶ΣȵRa(n/2+1)
    (2)ͼ߶ԭΪԲģRa(n/2)Ϊ뾶ֱ𻭻߶࣬߶һ˵ΪԲģm2Ϊ뾶Բֱཻԭ㼰ΪԲģRa(n/2-1)m2Ϊ뾶㡣˳λ㣻
    (3)Ӹԭ㻭ֱߣ߶ӳڸӳ߶϶ӦȡLa(n/2+1)La(1)ȣ
    (4)ͼԹ⻬Сཻ㣬ػȡSpȡ㣬ֱԭ㻭ֱߣӳӳȡLpȣn12122436ȣȷغϣȡ
    (5)ͼԹ⻬㣬Ϊչͼ


#21                     һбԲ׶ͨ˵

    1ΪĸбԲ׶ܴˡСֱ߶ȡƫľͬȷ־ཻɵбԲ׶ͨϲֵĶϣҲͨܵĶڷֹܡ
    2 ʾͼd1Ϊͨ׶ֱܴd2Ϊ׶Сֱd3ΪС˹ܿڵĵȷֱhΪͨ׶ܵĸ߶ȣbΪĺȡҪd1>d2>0d3>d21.155b>0Ϊ˼ͨ׶ܵʹ˳h>=d10.8d3<=1.1d1
    3չͼΪչ㣬׶ܳnȷʵnֵ4ɲ߸׶ֱ;Ҫȷ룬nֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4չͼ,ֱӸڰϣɲչʾͼ·(׶ܹ4ÿߴͬ)
    (1)ⶨһԭ㣬ԭ㻭һ߶ΣȵRa(n/2+1)
    (2)ͼ߶ԭΪԲģRa(n/2)Ϊ뾶ֱ𻭻߶࣬߶һ˵ΪԲģm2Ϊ뾶Բֱཻԭ㼰ΪԲģRa(n/2-1)m2Ϊ뾶㡣˳λ㣻
    (3)Ӹԭ㻭ֱߣ߶ӳڸӳ߶϶ӦȡLa(n/2+1)La(1)ȣ
    (4)ͼԹ⻬Сཻ㣬ػȡSpȡ㣬ֱԭ㻭ֱߣӳӳȡLpȣn8162432ȣȷغϣȡ
    (5)ͼԹ⻬㣬Ϊչͼ


#22                      Բƽƫӹܷ˵

    1Ϊ¾ΪԲΣԲĳȡȿȡֵƫĵӹܹpxpyΪ0ʱΪ˫ƫĵĳԲƽӹܡpxpyһΪ0ʱΪƫĳԲƽӹܡpxpyΪ0ʱΪĳԲƽӹܡ
    2ʾͼL1Ϊ³Բڱ߳ȣw1Ϊ³Բڱ߿ȣL2ΪϳԲڱ߳ȣw2ΪϳԲڱ߿ȣhΪӹܸ߶ȣ pxpyΪ³Բxyƫľ, bΪĺȡҪL1>w1>0L2>w2>0hb>0pxpyȡʵ
    3pxpyֵҪ³ԲɵֱϵȷԲΪo㡣ϳԲoҷʱpxΪֵʱpxΪֵϳԲoϷʱpyΪֵo·ʱpyΪֵoغΪ0pxpyرעֵ󣬿ܻᵼ²ȷչͼ
    4³ԲԲnȷߵʵnֵ4ɲ߸ݳԲ뾶ߴ缰Ҫȷ룬nֵԽչͼľԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    5չͼηϣչͼֳɸνмֱӸڰϣɲչʾͼ·
    (1)ͼһֱ߶ΣȵLp1
    (2)߶˵ֱΪԲģLa(1)LeΪ뾶һ㣬ȻԽΪԲģLp2Ϊ뾶߶Ҷ˵ΪԲģLb(1)Ϊ뾶Բཻ߶˵ֱΪԲģLa(2)Lb(2)ֱΪ뾶ΪԲģm2뾶µĽ㡣
    (3)˳λLa(2)~La(n+1)Lb(2)~Lb(n+1)߶m1m2Ľ㡣
    (4)ͼLa(n+1)߶˵ֱΪԲģLxLp2ֱΪ뾶һ㣻ԽΪԲģLb(n+1)Ϊ뾶La(n+1)߶µΪԲģLp1Ϊ뾶һ㡣
    (5)ͼֱߺ͹⻬Ӹ㣬Ϊչͼ
    6չͼھӹ㣬ͼλģʱΪ˽ԼϣҲLa (1)߲ÿֳϣٴ⴦ÿֳɿϡ



#23                   Բ׶Yͨ˵

    1ܡ֧ܾΪԲ׶ܣͬƫӵYͨ׶תǡȡСֱڹ涨ΧڿȡֵͬԹĸԲӣͬԽʽչͼ㡣
    2ʾͼеd1d2d3ΪֱΪ׶С˵ֱd4ΪиԲֱhΪ׶߸߶ȣL1a1Ϊ֧׶1߳ȡƫתǶȣL2a2Ϊ֧׶2߳ȡƫתǶȣbΪĺȡҪ0<d1d2d3<d40<=a1a2<=90L1>0.6*d2/Tan(a1)L2>0.6*d3/Tan(a2)h>0.6*d1b>0ɲ߸ͼֽйȷ,밴ʾ
    3ֳܳnȷʵnֵ4ɲ߸ݹܾҪȷ롣nֵԽչͼľԽߣչͼĹӦӣ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4չͼ԰ĵΪֱչȺͽ߳ȣ߿ɸչͼֱڰϻϡɲչʾͼ·
    (һ)׶Ϸ
    (1)ⶨһԭoԭΪԲģRs1Ϊ뾶ڻȡ㣬һػȡS1ȡҳLx1ҲչǶak1ȷԲнǡȷ󣬽ֱߵԭo죻
    (2)S1ֳnȷ֣ÿȷֻΪm1߶ͷȡst1ȡߵԭoӳ
    (3)Rs1ϸΪ㣬ڸȷֵߵӳϷֱȡha(1)~ha(n/2+1)ȣӳȡLs1ȡͼù⻬ȡ㣬ɵõ׶1չͼ
    (4)Ls1La(n/4+1)غϻƫСȡSt1Ls1߶Ρ
    ()׶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



#24                   Բ׶б׶ͨ˵

    1ΪԲ׶б׶ཻɵĿͨͨڵֱ׶ܵĸ߶ȡбڵĽǶһΧڿ롣
    2ʾͼd1Ϊͨ˵ھd2h1ΪԲ׶ܵСھ͸߶ȣd3h2LpaֱΪбԲ׶ܵ϶ֱ߶ȡƫľб;bΪͨİĺȡҪd1>d2d3>o, Lp>(d2+d3)/2, h1h2b>oΪ˼ͨܵh1h2>=Lp
    3Բ׶ܾnȷߵʵnֵ4ɲ߸׶ֱ;Ҫȷ롣nֵԽչͼԽߣչͼĹӦӡ˹һȡn=16~36ѿɱȽ׼ȷϣиϻǿ̻1:1壬nֵȡһЩ
    4չͼֱӸڰϣ׶ܾɲչʾͼ·
    (һ)Բ׶Ϸ
    (1)ⶨһԭoԭΪԲģRs1Rs2Ϊ뾶ֱ𻭻Rs1Ļȡ㣬һػȡS1ȡҳLxҲչǶaeȷԲнǡȷ󣬽ֱߵԭo
    (2)Rs1⴦ȡS1/2Եȷֻm1S1/2ֳn/2ȷ֣ȷֵߵԭoԭΪԲģмȷڸ߶ȡRa(1)~Ra(n/4)ȣ
    (3)ͼù⻬Ӹ㣬ΪԲ׶ܵչͼ
    ()б׶Ϸ
    (1)⻭һֱ߶ΣȵLa(n/2+1)
    (2)ͼLb(n/2)Ϊ뾶߶϶˵ΪԲĻm1Ϊ뾶߶¶˵ΪԲĻһ㡣϶˵㼰ΪԲģm3La(n/2)Ϊ뾶һ㡣˳λ㡣la(n/4+1)ߺ²m1Ϊmֱ㣻
    (4)ͼԹ⻬ߺֱཻ㣬˸λǷϳߴҪϼΪб׶ܵչͼ

