最小采购量
YASKAWA/安川
电机/驱动器
驱动元件类型
电机/驱动器
电机/驱动器
速度响应频率
供应YASKAWA/安川SGDV-550A原装正品现货
SGDV-550A现货安川伺服最新到货型号规格说明我们承接安川伺服，变频器，PLC等自动化设备品种的技术维修及产品保养。拥有尖锐成熟的后勤团队深受广大客户的好评与信赖。我们将尽心尽力服务新老客户。您的满意是我们的追求，期待与贵公司合作。我们只做正品安川伺服，原装进口大量库存现货供应安川全国顶级代理上海总代理现货供应诚信为本，优质服务，客户好评甚高。好产品找枭雷！我们在众多新老产品都储备有大量现货，及强大的商业同盟团队。品种齐全，交期及时。对于稀缺产品我司同样有储存现货或者可加急短期订货优势。上海枭雷自动化设备有限公司郑弈凛电话：021-传真：021-手机：QQ:
Pn508 伺服关时，电机在转动情况下，刹车延时时间 根据具体要求设定
注：电机在转动情况下，伺服关断时，延时此参数设定的时间后半部，电机刹车才开始动作。设定单位以“10ms”为单位。出厂时设为“50”（即500 ms） 。（当电机带刹车时需设置）（Pn507 和 Pn508 满足一个条件，刹车就开始动作）
安川伺服驱动器的伺服增益调整
根据上表设置好安川伺服驱动器参数后, 开始调整伺服性能，步骤如下 1.确认或修改Pn110 参数值为n.XXX0（X 表示不需改变）。 2.开关一次驱动器电源。
3.控制器手动方式用中低速运行机床工作台。
4.调整机械刚性值（修改F001 中的数值）（方法同密码设定方法）
注：F001 机械刚性值的数值范围为“1—10”，数值越大刚性越大。（驱动器初始值为“4”）安川Σ-V系列在这样的期待下应运而生。 “伺服不经过调整就不能顺利运行······” Σ-V系列配备的新型免调整功能，打破了这一常识，使伺服接通即可运行。 “相要进一步发挥机械性能······” 运用Σ-V的新型高级自动调谐功能，短时间内即可实现。 而且，Σ-V系列采用了先进的技术，可以满足各种需求，包括符合日本业内首创的安全标准、符合海外标准、拥有丰富的电机产品系列、实现小型化、高速化、简单维护等。我们只做正品安川，大量现货供应欢迎采购。诚信为本，客户好评甚高。好产品找枭雷！安川Σ-Ⅱ系列产品，为了适应上述要求，进一步强化了高性能及其丰富的功能。并且，充实了产品的系列，提高了使用的简便性，通过其全球适用的规格，在广泛的应用领域中发挥其实力。 过动态制动器电阻容量
安川伺服全国总经销安川伺服指定代理商安川伺服电机∑-Ⅴ系列全系列SGMJV-01AAA61+SGDV-R90A01A，SGMJV-02AAA61+SGDV-1R6A01A，SGMJV-04AAA61+SGDV-2R8A01A，SGMJV-08AAA61+SGDV-5R5A01A，SGMGH-09ACA61+SGDM-10ADA，SGMGH-13ACA61+SGDM-15ADA 安川伺服电机SGMAH型SGMAH-01AAA41+SGDM-01ADA，SGMAH-02AAA41+SGDM-02ADA，SGMAH-04AAA41+SGDM-04ADA，SGMAH-08AAA41+SGDM-08ADA 安川伺服电机SGMGH型SGMGH-05ACA61+SGDM-05ADA,SGMGH-09ACA61+SGDM-10ADA,SGMGH-13ACA61+SGDM-15ADA,SGMGH-20ACA61+SGDM-20ADA,SGMGH-30ACA61+SGDM-30ADA,SGMGH-44ACA61+SGDM-50ADA,SGMGH-55ACA61+SGDM-60ADA,SGMGH-75ACA61+SGDM-75ADA,SGMGH-1AACA61+SGDM-1AADA,SGMGH-1EACA61+SGDM-1EADA 安川电机（YASKAWA
ELECTRIC)是目前工业变频器，交流伺服全球连续5年销量第一，工业机器人连续三年全球第一的专业控制驱动产品生产商，安川电机的运动控制器，在日本占有率达60%以上. 上海枭雷自动化有限公司安川库存部分现货型号：SGMPH-081A21SGMPH-08AAA41SGMPH-15A1A41SGM-08AWFJ73SGM-04AWYH61SGM-01U314MSGMG-90A2W-TW11USAGED-09A22KSGM-04AWFJ32SGMP-04AWYR32SGMP-01AWYR22SGMP-04AWYR31SGMP-04AWYR62SGM-04AWYR13SGMP-02W3026SGM-08AWFJ41SGMGH-03ACB21SGMPH-15AAA21SGMPH-15A1A-YR11USAPEM-07YR23SGM-01U3B4LSGM-08A314SSGMAH-A3A1A4SSGMAS-01A2A41SGMAH-A6AAA21SGM-02VGNK13SGMAS-A5ACA2CSGMAS-01ACA2CSGMAS-02ACA21SGME-01AF14SGMAS-06ACA2CSGMAS-07ARB-AB11SGMAH-08A1A21SGMG-05A2ASGMG-20A2ABSGMP-02B314CSGMPH-04AAA21GMAS-04A2A-FJ13SGM-02U3B4LSGMSH-20ACA21SGMPH-15AAA-TE21SGMPH-01AAE4CDSGM-01AGSU11SGM-02AGSU11SGMP-04U314MSGMAH-04AAA-FJ12USAREM-02CF2USAREM-08FJ11SGMGH-05ACA21SGM-02U3B2LUSASEM-18YR24SGMAH-04AAAH761SGMMJ-A3BABA1SGMP-01U314CMSGM-01BXSGM-A3AFJ71USAREM-02CE2KXSGMS-55ASASGMPH-01AAE-YA11SGM-08AWFJ83SGM-08AWFJ83XSGMG-09AWAABSGMS-15AWA-HG13SGMG-05AWAABSGMP-15AW16DPUSAREM-03DE2USAQEM-03-SU21USAQEM-A6-SU31USAQEM-05AA2KXUSADEM-13-NT25SGMP-04AS14SGML-04AF12CSGMP-04A314ESGMPH-04A1E-TM21SGME-04AF12UGTMEM-03LSK21SGM-02A612BSGMAH-A5A1A41SGMPH-08AAA21SGMSH-20ACA-FJ12SGM-A3A321SGMSH-15A2A21USAREM-02CE2SGM-02A5FJ12SGMSH-08A1A4DSGM-01B312SGMAS-01A2A-AD11SGMp-04AAA21SGMAH-02A1F-AP11SGMAH-A5AAA41USAREM-03BE2KXSGMG-1AA2ABCSGMGH-55DCA6C
yibanSGMG-30ASASGMG-20VSAA3SGMG-05AWADSGMG-09ASASGMG-20VSRSGMG-09V2RC3SGMG-20AWAA3SGMG-30V2AABSGMKS-20A3A21X2SGMKH-20A2A2SXUSAIKM-60-ES33USAIKM-60-ES13SGMAH-A8A1A-YB11SGMAH-A5B1A-YB11SGMAH-A5A1A-YB11USAFED-05C32KEUSAFED-20FB2USAFED-09FS13USAIFM-10-ES11USAFED-30C22OER-04USAFED-09FA1SUSAREM-02CE2KUSAIKM-60-3U11USAIKM-60-ES15SGM-02AW12BSGMPH-08A1A6BSGM-A5A8YR12SGMG-12A2BBBSGMP-02AW14BSGM-02AW14BSGMP-04AW14USASEM-03AS2SUSAMED-20MS2SSGMGH-09ACB01SGMAS-08A2A6ESGMPH-02A1A-YR11SGMAS-01A2A61SGMAS-A5A2A61SGMAS-04A2A6CSGMM-A1313SGMM-A3313SGMAH-01AAF41USAFED-05FA1SGM-04A3NT12SGMAH-01AAA2HUSAFED-20C220ESGMAH-01BAA21SGMAH-04AAA-SL11USAFED-03FA1SGML-04AFSL11USAFED-05FD1SGMAS-A5A2A6SUSAFED-02FB2SGMM-A2C3YK11SGMPS-02ACA4CSGMAS-08ACA21SGMAS-12ACA21SGMG-75A2AUSAFED-05FD1CUSAFED-03FD1USAHEM-03-SL15SGM-A2C3J26SGM-04A3FJ52SGM-A5CWYB11USAFED-44C22KGM-01AF12SGMAH-A5B1A-YB21SGMAH-A3A1A2CSGMS-20A6AUSASEM-08TV12USAREM-05CFJ11SGMSH-40ACA61SGMGH-13DCA61USASEM-02ARO1SAK0EUSAFED-09-KN52SGMP-01AWSU12SGMAH型SGMAH-01AAA41SGDM-01ADASGDM-02ADASGDM-04ADASGDM-08ADASGMAH-01AAA4CSGMAH-02AAA4CSGMAH-04AAA4CSGMAH-08AAA4CSGMGH型(1500RPM)SGMGH-05ACA61SGDM-05ADASGMGH-13ACA61SGDM-15ADASGDM-20ADA￥￥马可波罗SGMGH-30ACA61SGDM-30ADASGDM-50ADASGMGH-55ACA61SGDM-60ADASGDM-75ADASGMGH-1AACA61SGDM-1AADASGMGH-1EACA61SGDM-1EADASGMGH-05ACA6CSGMGH-09ACA6CSGMGH-13ACA6CSGMGH-20ACA6CSGMGH-30ACA6CSGMGH-44ACA6CSGMGH-55ACA6CSGMGH-75ACA6CSGMGH-1AACA6CSGMGH-1EACA6CSGMGH型(1000RPM)SGMGH-03ACB61SGMGH-06ACB61SGMGH-09ACB61SGMGH-12ACB61SGMGH-20ACB61SGMGH-30ACB61SGMGH-40ACB61SGMGH-55ACB61SGMPH系列SGMPH-02AAA41SGMPH-04AAA41SGMPH-15AAA41SGMPH-01AAA4CSGMPH-02AAA4CSGMPH-04AAA4CSGMPH-08AAA4CSGMPH-15AAA4CSGMPH-01ABA41SGMPH-02ABA41SGMPH-04ABA41SGMPH-08ABA41SGMPH-15ABA41SGMPH-01A1A41SGMPH-02A1A41SGMPH-04A1A41SGMPH-08A1A41SGMPH-01A1A4CSGMPH-02A1A4CSGMPH-04A1A4CSGMPH-08A1A4CSGMPH-15A1A4CSGMSH型SGMSH-10ACA61SGMSH-15ACA61SGMSH-20ACA61SGMSH-30ACA61SGMSH-50ACA61SGMSH-10ACA6CSGMSH-15ACA6CSGMSH-20ACA6CSGMSH-30ACA6CSGMSH-40ACA6CSGMSH-50ACA6C型号β?616P1XCIMR-PCU42P2P1W2018SGDA-01AP1KWSGDB-15ADMSGDB-15ADM-PSGDB-15ADSSGDB-15ANSGDB-20ADGSGDB-20ANSGDB-44ADSGDB-44ADGSGDB-60ADGSGDB-60ADSSGDB-60ADSY446KWSGDB-60VDSGDB-60VDY44SGDB-75ADSGDC-10AJA-FSGDC-15AJASGDC-20AJASGDC-20DSASGDC-30AJASGDC-55AJAVS-626MR5VS-656MR5SGDM驱动器SGDH系列伺服驱动器SGDH-A3AESGDH-A5AESGDH-01AESGDH-02AESGDH-04AESGDH-05AESGDH-08AESGDH-08AE-SSGDH-10AESGDH-15AESGDH-20AESGDH-30AESGDH-50AESGDH-60AESGDH-75AESGDH-1AAESGDH-1EAESGDM-A3ADSGDM-A3ADASGDM-A5ADSGDM-A5ADASGDM-01ADSGDM-02ADSGDM-04ADSGDM-05ADSGDM-08ADSGDM-10ADSGDM-15ADSGDM-20ADSGDM-30ADSGDM-A3BDSGDM-A3BDASGDM-A5BDSGDM-A5BDASGDM-01BDSGDM-02BDSGDM-02BDASGDA-01ASSGDA-A5ASSGDA-02ASSGDA-04ASSGDA-08ASSGDA-A3APSGDA-A5APSGDA-02APSGDA-04APSGDB-05ADGSGDB-10AGDGSGDB-15ADPSGDB-30ADSSGDB-75ADGSGDB-44ADSSGDB-10ADSGDM-30ADSGDM-50ADSGDM-60ADSGDM-02AE安川伺服电机∑-Ⅴ系列全系列SGMJV-01AAA61SGDV-R90A01ASGMJV-02AAA61SGDV-1R6A01ASGMJV-04AAA61SGDV-2R8A01ASGMJV-08AAA61SGDV-5R5A01A安川伺服电机SGMAH型安川伺服电机SGMGH型SGDM-20ADA安川电机（YASKAWAELECTRIC)SGMJV-A5ASGDV-R70ASGMJV-01ASGDV-R90ASGMJV-02ASGDV-1R6ASGMJV-04ASGDV-2R8ASGMJV-06ASGDV-5R5ASGMJV-08ASGMJV-C2ASGMAV-A5A(50W)SGDV-R70F(或SGDV-R70A)SGMAV-01A(100W)SGDV-R90F(或SGDV-R90A)SGMAV-C2A(150W)SGDV-2R1F(或SGDV-1R6A)SGMAV-02A(200W)SGMAV-04A(400W)SGDV-2R8F(或SGDV-2R8A)SGMAV-06A(550W)SGMAV-08A(750W)SGMAV-10A(1kW)SGDV-120ASGMPS-01A(100W)SGMPS-02A(200W)SGDV-2R1F(或SGDV-2R8A)SGMPS-04A(400W)SGDV-2R8FSGMPS-08A(750W)SGMPS-15A(1.5kW)SGMSV-10A(1.0kW)SGDV-7R6ASGMSV-15A(1.5kW)SGMSV-20A(2.0kW)SGDV-180ASGMSV-25A(2.5kW)SGDV-200ASGMSV-30A(3.0kW)SGMSV-40A(4.0kW)SGDV-330ASGMSV-50A(5.0kW)SGMSV-70A(7.0kW)SGDV-550ASGMSV-10D(1.0kW)SGDV-3R5DSGMSV-20D(2.0kW)SGDV-8R4DSGMSV-25D(2.5kW)SGDV-120DSGMSV-30D(3.0kW)SGMSV-40D(4.0kW)SGDV-170DSGMSV-50D(5.0kW)SGMGV-03A(300W)SGDV-3R8ASGMGV-05A(450W)SGMGV-09A(850W)SGMGV-13A(1.3kW)SGMGV-20A(1.8kW)SGMGV-30A(2.9kW)SGDV-330A/SGDV-200ASGMGV-44A(4.4kW)SGMGV-55A(5.5kW)SGDV-470ASGMGV-75A(7.5kW)SGMGV-1AA(11kW)SGDV-590ASGMGV-1EA(15kW)SGDV-780ASGMGV-03D(300W)SGDV-1R9DSGMGV-05D(450W)SGMGV-09D(850W)SGMGV-13D(1.3kW)SGDV-5R4DSGMGV-20D(1.8kW)SGMGV-30D(2.9kW)SGMGV-44D(4.4kW)日本安川YASKAWA交流伺服Σ2系列日本安川YASKAWA交流伺服ΣV系列SGMJV-01AAA6CSGMJV-02AAA6CSGMJV-04AAA6CSGMJV-08AAA6CSGMGV-09ADA61SGDV-7R6A01ASGMGV-09ADA6CSGMGV-13ADA61SGDV-120A01ASGMGV-13ADA6CSGMGV-20ADA61SGDV-180A01ASGMGV-20ADA6CSGMGV-30ADA61SGDV-200A01ASGMGV-30ADA6CSGMGV-44ADA61SGDV-330A01ASGMGV-44ADA6CSGMGV-55ADA61SGDV-470A01ASGMGV-55ADA6CSGMGV-75ADA61SGDV-550A01ASGMGV-75ADA6CSGMGV-1AADA61SGDV-590A01ASGMGV-1AADA6CSGMGV-1EADA61SGDV-780A01ASGMGV-1EADA6CSGMAH-04AAA21SGMAH-04AAA2CSGMAH-08AAA2CSGMGH-05ACB61SJME-08AMA41(电机)SJDE-08APA（驱动器）SGDV-2R8A01A002000SGDV-5R5A01A002000SGMGV-09ADC61SGMGV-13ADC61SGMGV-20ADC61SGMGV-44ADC61SGMGV-30ADC61SGMGV-75ADC61SGMGV-55ADC61SGMGV-1EADC61SGMGV-1AADC61SGMGV-09ADC6CSGMGV-13ADC6CSGMJV-A5AAA61SGDV-R70A01ASGMJV-A5AAA6CSGDV-5R5A01A(750W)SGMJV-02ASGDV-1R6ASGDV-R70F(SGDV-R70A)SGDV-2R1F(SGDV-1R6A)SGDV-R90Fsgmbh-2bdca61sgdm-2bdeSGDM-40ADASGMGH-75AC61SGMGH-75AC6cSGDM-1EADA（15KW)SGMGH-1EACA61（15KW)SGDM-75ASGMAH-02BAA21USASEM-02AE2SGMAH-04AAA4ACSGMGH-08ACA61SGDM1AADASGMGH-1A1A61SGMGH-06ACA4CTOTAL/1setSGMGH-2BDCA61SGDM-2BDESGMPH081A21SGMAHA3A1A4SSGMASA5ACA2CSGMSH-50ACA6SGDH-2BDESGDH-3ZDESGDH-3GDESGDH-4EDESGDH-5EDESGDH-9ZDEBSGMBH-2BDCA61SGDM-1ADASGMGH-44ADA61SERVOPACKSGDE-01APY20SGDS-01F01AJEPMC-MC410SGDA-A3CPY14SGDE-01ASSGDA-01BPY79SGDS-A5F12ASGDS-02A01ASGDS-10A31AY500SGD-A3ANSGD-A5CNY102SGD-A5ANSGD-08ANSGD-08ASSGDL-08ASSGDL-08APUSAREM-03BYA11SGMAH-A5A1A4CSGML-01BF12SGMAS-04ACA2B操作面板JUSP-OP02A操作面板JUSP-OP03A日本安川YASKAWA交流伺服Σ2系列 SGMAH型容量(W) 型号100W
SGMAH-01AAA41+SGDM-01ADA100W带制动 SGMAH-01AAA4C+SGDM-01ADA200w
SGMAH-02AAA41+SGDM-02ADA200W带制动 SGMAH-02AAA4C+SGDM-02ADA400W
SGMAH-04AAA41+SGDM-04ADA400W带制动 SGMAH-04AAA4C+SGDM-04ADA750w
SGMAH-08AAA41+SGDM-08ADA750W带制动 SGMAH-08AAA4C+SGDM-08ADASGMGH型 (1500RPM)容量(W)
SGMGH-05ACA61+SGDM-05ADA450W带制动
SGMGH-05ACA6C+SGDM-05ADA850W
SGMGH-09ACA61+SGDM-10ADA850W带制动 SGMGH-09ACA6C+SGDM-10ADA1.3KW
SGMGH-13ACA61+SGDM-15ADA1.3KW带制动 SGMGH-13ACA6C+SGDM-15ADA2KW
SGMGH-20ACA61+SGDM-20ADA2KW带制动
SGMGH-20ACA6C+SGDM-20ADA3KW
SGMGH-30ACA61+SGDM-30ADA3KW带制动 SGMGH-30ACA6C+SGDM-30ADA4.4K
SGMGH-44ACA61+SGDM-50ADA4.4KW带制动 SGMGH-44ACA6C+SGDM-50ADA5.5K
SGMGH-55ACA61+SGDM-60ADA5.5KW带制动 SGMGH-55ACA6C+SGDM-60ADA7.5K
SGMGH-75ACA61+SGDM-75ADA7.5KW带制动 SGMGH-75ACA6C+SGDM-75ADA11KW
SGMGH-1AACA61+SGDM-1AADA11KW
SGMGH-1AACA6C+SGDM-1AADA15KW
SGMGH-1EACA61+SGDM-1EADA15KW
SGMGH-1EACA6C+SGDM-1EADA日本安川YASKAWA交流伺服ΣV系列
简称 具 体 型 号100W
SGMJV-01AAA61+SGDV-R90A01A100W带制动
SGMJV-01AAA6C+SGDV-R90A01A200W
SGMJV-02AAA61+SGDV-1R6A01A200W带制动
SGMJV-02AAA6C+SGDV-1R6A01A400W
SGMJV-04AAA61+SGDV-2R8A01A400W带制动
SGMJV-04AAA6C+SGDV-2R8A01A750W
SGMJV-08AAA61+SGDV-5R5A01A750W带制动
SGMJV-08AAA6C+SGDV-5R5A01A850W
SGMGV-09ADA61+SGDV-7R6A01A850W带制动
SGMGV-09ADA6C+SGDV-7R6A01A1.3KW
SGMGV-13ADA61+SGDV-120A01A1.3KW带制动 SGMGV-13ADA6C+SGDV-120A01A2KW
SGMGV-20ADA61+SGDV-180A01A2KW带制动
SGMGV-20ADA6C+SGDV-180A01A3KW
SGMGV-30ADA61+SGDV-200A01A3KW带制动
SGMGV-30ADA6C+SGDV-200A01A4.4KW
SGMGV-44ADA61+SGDV-330A01A4.4KW带制动 SGMGV-44ADA6C+SGDV-330A01A5.5KW
SGMGV-55ADA61+SGDV-470A01A5.5KW带制动 SGMGV-55ADA6C+SGDV-470A01A7.5KW
SGMGV-75ADA61+SGDV-550A01A7.5KW带制动 SGMGV-75ADA6C+SGDV-550A01A11KW
SGMGV-1AADA61+SGDV-590A01A11KW带制动
SGMGV-1AADA6C+SGDV-590A01A15KW
SGMGV-1EADA61+SGDV-780A01A15KW带制动
SGMGV-1EADA6C+SGDV-780A01A灵活运用爆发力,充分发挥机械性能 迅速准确的传递,在准确性、速度等方面，拥有更高的技术水平 对于机械性能，在高速相应性，高精度控制方面，具有更高的水准 灵活适应用户系统，产品有单相100V(30-200W)，单相200V(30-400W)，三相200V(0.45-15kW)，并有适用于绝对值码盘，带制动、带减速机的各种电机。安川伺服驱动器和凯恩帝数控系统相配时，只需设定以下参数 (见参数表);其余参数,一般情况下,不用修改。
Pn000 功能选择 n.0010(设定值) 第0位：设定电机旋转方向;设“1”改变电机旋转反向。第1位：设定控制方式为:“1”位置控制方式。
Pn200 指令脉冲输入方式功能选择 n.0101(设定值)
“1”正反双路脉冲指令(正逻辑电平)(设定从控制器送给驱动器的指令脉冲的类型)
Pn202 电子齿轮比(分子) Pn203 电子齿轮比(分母)
根据不同螺距的丝杆与带轮比计算确定，计算方法如下：
Pn202/Pn203=编码器条纹数(32768)X4 / 丝杠螺距×带轮比×1000 参数设置范围: 1/100≤分子/分母≤100
安川伺服总代理特价现货销售一、业内最高的放大器响应性，速度频率响应1.6khz。
二、极大增强了的制振功能。
三、最高转速提高到6000转/分。
四、减小了温升，效率提高，峰值转矩提高到350%。
五、首创的日本国内安全标准、满足其他海外标准。
六、免调谐功能，上电即可运行。
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对不起，您对此产品的咨询信息发送失败，请稍后重新发起咨询。已知曲线C1:x^2/36+y^2/11=1和曲线C2:x^2/a^2-y^2/9=1有公共焦点A.B,两曲线C1,C2在第一象限内的交点为P,求（1）a^2 （2）LAPB的大小 （P.S 我第一问算出来a^2=24,问题是第二问怎么算啊?我用cosLAPB(AP^2+BP^2-AB^_百度作业帮
已知曲线C1:x^2/36+y^2/11=1和曲线C2:x^2/a^2-y^2/9=1有公共焦点A.B,两曲线C1,C2在第一象限内的交点为P,求（1）a^2 （2）LAPB的大小 （P.S 我第一问算出来a^2=24,问题是第二问怎么算啊?我用cosLAPB(AP^2+BP^2-AB^
已知曲线C1:x^2/36+y^2/11=1和曲线C2:x^2/a^2-y^2/9=1有公共焦点A.B,两曲线C1,C2在第一象限内的交点为P,求（1）a^2 （2）LAPB的大小 （P.S 我第一问算出来a^2=24,问题是第二问怎么算啊?我用cosLAPB(AP^2+BP^2-AB^2)/2APBP=（AP+BP)^2-2APBP/2APBP算,但APBP算不出来……请大家帮忙啊>
（1）由曲线C1得：c^2=36-11=25
c^2=a^2+9=25
a^2=25-9=16
∴a^2=16（2）一种把P算出来
一种AP*BP=[(AP+BP)^2-(AP-BP)^2]/4
P在双曲线&椭圆上AP+BP和AP-BP都好求I'm looking for a way to calculate the zoom level for a given bounds using the Google Maps V3 API, similar to getBoundsZoomLevel() in the V2 API.
Here is what I want to do:
// These are exact bounds previously captured from the map object
var sw = new google.maps.LatLng(42.763479, -84.338918);
var ne = new google.maps.LatLng(42.679488, -84.524313);
var bounds = new google.maps.LatLngBounds(sw, ne);
var zoom = // do some magic to calculate the zoom level
// Set the map to these exact bounds
map.setCenter(bounds.getCenter());
map.setZoom(zoom);
// NOTE: fitBounds() will not work
Unfortunately, I can't use the fitBounds() method for my particular use case. It works well for fitting markers on the map, but it does not work well for setting exact bounds. Here is an example of why I can't use the fitBounds() method.
map.fitBounds(map.getBounds()); // not what you expect
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2,48621220
A similar question has been asked on the Google group:
The zoom levels are discrete, with the scale doubling in each step. So in general you cannot fit the bounds you want exactly (unless you are very lucky with the particular map size).
Another issue is the ratio between side lengths e.g. you cannot fit the bounds exactly to a thin rectangle inside a square map.
There's no easy answer for how to fit exact bounds, because even if you are willing to change the size of the map div, you have to choose which size and corresponding zoom level you change to (roughly speaking, do you make it larger or smaller than it currently is?).
If you really need to calculate the zoom, rather than store it, this should do the trick:
The Mercator projection warps latitude, but any difference in longitude always represents the same fraction of the width of the map (the angle difference in degrees / 360). At zoom zero, the whole world map is 256x256 pixels, and zooming each level doubles both width and height. So after a little algebra we can calculate the zoom as follows, provided we know the map's width in pixels. Note that because longitude wraps around, we have to make sure the angle is positive.
var GLOBE_WIDTH = 256; // a constant in Google's map projection
var west = sw.lng();
var east = ne.lng();
var angle = east -
if (angle & 0) {
angle += 360;
var zoom = Math.round(Math.log(pixelWidth * 360 / angle / GLOBE_WIDTH) / Math.LN2);
Thanks to Giles Gardam for his answer, but it addresses only longitude and not latitude. A complete solution should calculate the zoom level needed for latitude and the zoom level needed for longitude, and then take the smaller (further out) of the two.
Here is a function that uses both latitude and longitude:
function getBoundsZoomLevel(bounds, mapDim) {
var WORLD_DIM = { height: 256, width: 256 };
var ZOOM_MAX = 21;
function latRad(lat) {
var sin = Math.sin(lat * Math.PI / 180);
var radX2 = Math.log((1 + sin) / (1 - sin)) / 2;
return Math.max(Math.min(radX2, Math.PI), -Math.PI) / 2;
function zoom(mapPx, worldPx, fraction) {
return Math.floor(Math.log(mapPx / worldPx / fraction) / Math.LN2);
var ne = bounds.getNorthEast();
var sw = bounds.getSouthWest();
var latFraction = (latRad(ne.lat()) - latRad(sw.lat())) / Math.PI;
var lngDiff = ne.lng() - sw.lng();
var lngFraction = ((lngDiff & 0) ? (lngDiff + 360) : lngDiff) / 360;
var latZoom = zoom(mapDim.height, WORLD_DIM.height, latFraction);
var lngZoom = zoom(mapDim.width, WORLD_DIM.width, lngFraction);
return Math.min(latZoom, lngZoom, ZOOM_MAX);
Parameters:
The "bounds" parameter value should be a google.maps.LatLngBounds object.
The "mapDim" parameter value should be an object with "height" and "width" properties that represent the height and width of the DOM element that displays the map. You may want to decrease these values if you want to ensure padding. That is, you may not want map markers within the bounds to be too close to the edge of the map.
If you are using the jQuery library, the mapDim value can be obtained as follows:
var $mapDiv = $('#mapElementId');
var mapDim = { height: $mapDiv.height(), width: $mapDiv.width() };
If you are using the Prototype library, the mapDim value can be obtained as follows:
var mapDim = $('mapElementId').getDimensions();
Return Value:
The return value is the maximum zoom level that will still display the entire bounds. This value will be between 0 and the maximum zoom level, inclusive.
The maximum zoom level is 21. (I believe it was only 19 for Google Maps API v2.)
Explanation:
Google Maps uses a Mercator projection. In a Mercator projection the lines of longitude are equally spaced, but the lines of latitude are not. The distance between lines of latitude increase as they go from the equator to the poles. In fact the distance tends towards infinity as it reaches the poles. A Google Maps map, however, does not show latitudes above approximately 85 degrees North or below approximately
-85 degrees South. () (I calculate the actual cutoff at +/-85.58 degrees.)
This makes the calculation of the fractions for the bounds more complicated for latitude than for longitude. I used a
to calculate the latitude fraction. I am assuming this matches the projection used by Google Maps. After all, the Google Maps documentation page I link to above contains a link to the same Wikipedia page.
Other Notes:
Zoom levels range from 0 to the maximum zoom level. Zoom level 0 is the map fully zoomed out. Higher levels zoom the map in further. ()
At zoom level 0 the entire world can be displayed in an area that is 256 x 256 pixels. ()
For each higher zoom level the number of pixels needed to display the same area doubles in both width and height. ()
Maps wrap in the longitudinal direction, but not in the latitudinal direction.
10.5k31327
For version 3 of the API, this is simple and working:
var latlngList = [];
latlngList.push(new google.maps.LatLng (lat,lng));
var bounds = new google.maps.LatLngBounds();
latlngList.each(function(n){
bounds.extend(n);
map.setCenter(bounds.getCenter()); //or use custom center
map.fitBounds(bounds);
and some optional tricks:
//remove one zoom level to ensure no marker is on the edge.
map.setZoom(map.getZoom()-1);
// set a minimum zoom
// if you got only 1 marker or all markers are on the same address map will be zoomed too much.
if(map.getZoom()& 15){
map.setZoom(15);
Thanks, that helped me a lot in finding the most suitable zoom factor to correctly display a polyline.
I find the maximum and minimum coordinates among the points I have to track and, in case the path is very "vertical", I just added few lines of code:
var GLOBE_WIDTH = 256; // a constant in Google's map projection
var west = &?php echo $minL ?&;
var east = &?php echo $maxL ?&;
*var north = &?php echo $maxL ?&;*
*var south = &?php echo $minL ?&;*
var angle = east -
if (angle & 0) {
angle += 360;
*var angle2 = north -*
*if (angle2 & angle) angle = angle2;*
var zoomfactor = Math.round(Math.log(960 * 360 / angle / GLOBE_WIDTH) / Math.LN2);
Actually, the ideal zoom factor is zoomfactor-1.
Valerio is almost right with his solution, but there is some logical mistake.
you must firstly check wether angle2 is bigger than angle, before adding 360 at a negative.
otherwise you always have a bigger value than angle
So the correct solution is:
var west = calculateMin(data.longitudes);
var east = calculateMax(data.longitudes);
var angle = east -
var north = calculateMax(data.latitudes);
var south = calculateMin(data.latitudes);
var angle2 = north -
var delta = 0;
var horizontal =
if(angle2 & angle) {
angle = angle2;
delta = 3;
if (angle & 0) {
angle += 360;
zoomfactor = Math.floor(Math.log(960 * 360 / angle / GLOBE_WIDTH) / Math.LN2) - 2 -
Delta is there, because i have a bigger width than height.
1,69021022
map.getBounds() is not momentary operation, so I use in similar case event handler. Here is my example in Coffeescript
@map.fitBounds(@bounds)
google.maps.event.addListenerOnce @map, 'bounds_changed', =&
@map.setZoom(12) if @map.getZoom() & 12
4,56562144
Since all of the other answers seem to have issues for me with one or another set of circumstances (map width/height, bounds width/height, etc.) I figured I'd put my answer here...
There was a very useful javascript file here:
I used that as a base for this:
var com = com || {};
com.local = com.local || {};
com.local.gmaps3 = com.local.gmaps3 || {};
com.local.gmaps3.CoordinateUtils = new function() {
var OFFSET = ;
var RADIUS = OFFSET / Math.PI;
* Gets the minimum zoom level that entirely contains the Lat/Lon bounding rectangle given.
* @param {google.maps.LatLngBounds} boundary the Lat/Lon bounding rectangle to be contained
* @param {number} mapWidth the width of the map in pixels
* @param {number} mapHeight the height of the map in pixels
* @return {number} the minimum zoom level that entirely contains the given Lat/Lon rectangle boundary
this.getMinimumZoomLevelContainingBounds = function ( boundary, mapWidth, mapHeight ) {
var zoomIndependentSouthWestPoint = latLonToZoomLevelIndependentPoint( boundary.getSouthWest() );
var zoomIndependentNorthEastPoint = latLonToZoomLevelIndependentPoint( boundary.getNorthEast() );
var zoomIndependentNorthWestPoint = { x: zoomIndependentSouthWestPoint.x, y: zoomIndependentNorthEastPoint.y };
var zoomIndependentSouthEastPoint = { x: zoomIndependentNorthEastPoint.x, y: zoomIndependentSouthWestPoint.y };
var zoomLevelDependentSouthEast, zoomLevelDependentNorthWest, zoomLevelWidth, zoomLevelH
for( var zoom = 21; zoom &= 0; --zoom ) {
zoomLevelDependentSouthEast = zoomLevelIndependentPointToMapCanvasPoint( zoomIndependentSouthEastPoint, zoom );
zoomLevelDependentNorthWest = zoomLevelIndependentPointToMapCanvasPoint( zoomIndependentNorthWestPoint, zoom );
zoomLevelWidth = zoomLevelDependentSouthEast.x - zoomLevelDependentNorthWest.x;
zoomLevelHeight = zoomLevelDependentSouthEast.y - zoomLevelDependentNorthWest.y;
if( zoomLevelWidth &= mapWidth && zoomLevelHeight &= mapHeight )
function latLonToZoomLevelIndependentPoint ( latLon ) {
return { x: lonToX( latLon.lng() ), y: latToY( latLon.lat() ) };
function zoomLevelIndependentPointToMapCanvasPoint ( point, zoomLevel ) {
x: zoomLevelIndependentCoordinateToMapCanvasCoordinate( point.x, zoomLevel ),
y: zoomLevelIndependentCoordinateToMapCanvasCoordinate( point.y, zoomLevel )
function zoomLevelIndependentCoordinateToMapCanvasCoordinate ( coordinate, zoomLevel ) {
return coordinate && ( 21 - zoomLevel );
function latToY ( lat ) {
return OFFSET - RADIUS * Math.log( ( 1 + Math.sin( lat * Math.PI / 180 ) ) / ( 1 - Math.sin( lat * Math.PI / 180 ) ) ) / 2;
function lonToX ( lon ) {
return OFFSET + RADIUS * lon * Math.PI / 180;
You can certainly clean this up or minify it if needed, but I kept the variable names long in an attempt to make it easier to understand.
If you are wondering where OFFSET came from, apparently
is half of earth's circumference in pixels at zoom level 21 (according to ).
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