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单击此处编辑母版标题样式,单击此处编辑母版文本样式,二级,三级,四级,五级,*,*,单击此处编辑母版标题样式,单击此处编辑母版文本样式,二级,三级,四级,五级,*,*,单击此处编辑母版标题样式,单击此处编辑母版文本样式,二级,三级,四级,五级,*,*,单击此处编辑母版标题样式,单击此处编辑母版文本样式,二级,三级,四级,五级,*,*,单击此处编辑母版标题样式,单击此处编辑母版文本样式,二级,三级,四级,五级,*,*,单击此处编辑母版标题样式,单击此处编辑母版文本样式,二级,三级,四级,五级,*,*,单击此处编辑母版标题样式,单击此处编辑母版文本样式,二级,三级,四级,五级,*,*,单击此处编辑母版标题样式,单击此处编辑母版文本样式,二级,三级,四级,五级,*,*,单击此处编辑母版标题样式,单击此处编辑母版文本样式,二级,三级,四级,五级,*,*,单击此处编辑母版标题样式,单击此处编辑母版文本样式,二级,三级,四级,五级,*,*,单击此处编辑母版标题样式,单击此处编辑母版文本样式,二级,三级,四级,五级,*,*,单击此处编辑母版标题样式,单击此处编辑母版文本样式,二级,三级,四级,五级,*,*,单击此处编辑母版标题样式,单击此处编辑母版文本样式,二级,三级,四级,五级,*,*,单击此处编辑母版标题样式,单击此处编辑母版文本样式,二级,三级,四级,五级,*,*,单击此处编辑母版标题样式,单击此处编辑母版文本样式,二级,三级,四级,五级,*,*,单击此处编辑母版标题样式,单击此处编辑母版文本样式,二级,三级,四级,五级,*,*,单击此处编辑母版标题样式,单击此处编辑母版文本样式,二级,三级,四级,五级,*,*,单击此处编辑母版标题样式,单击此处编辑母版文本样式,二级,三级,四级,五级,*,*,单击此处编辑母版标题样式,单击此处编辑母版文本样式,二级,三级,四级,五级,*,*,解方程（一）,（建议一课时完成）,第五单元 认识方程,四年级下册,解方程（一） （建议一课时完成）第五,课后作业,探索新知,(1),等式的性质（一）,(2),运用等式的性质（一）解方程,1,课堂探究点,2,课时流程,课堂小结,当堂检测,北师大版四年级数学下册,课后作业探索新知(1)等式的性质（一）1课堂探究点2课时流程,2g,5g,10g,5g,2g,5,5,5,2,5,2,2g,10g,2g,12,12,12,2,12,2,10g,g,10,5g,5g,5,10,5,5,15,5,5,15,5,北师大版四年级数学下册,2g5g10g5g2g5552522g10g2g12,探究点,1,等式的性质（一）,观察下图，你发现了什么规律？,等式两边都加上（或减去）同一个数，等式仍然成立。,北师大版四年级数学下册,探究点1 等式的性质（一）观察下图，你发现了什么规律？等式,你能运用发现的规律解出我们前面列出的方程吗？,x,2,10,解：,x,2,2,10,2,x,8,探究点,2,运用等式的性质（一）解方程,北师大版四年级数学下册,你能运用发现的规律解出我们前面列出的方程吗？x210解：,解方程。,y,7,12,解：,y,7,7,12,7,23,x,45,y,19,解：,23,x,23,45,23,x,22,19,7,12,，,y,19,对了。,23,22,45,，,x,22,对了。,北师大版四年级数学下册,解方程。 y712解： y7712723x4,小试牛刀,（源于,典中点,）,1,看图填一填。,(1)(,),个梨和,(,),个菠萝一样重。两边同时各放上,1,个梨，天平,(,),。,(2),两边同时拿掉,(,),个柿子，天平还平衡。,1,个梨和,(,),个柿子同样重。,3,1,仍然平衡,1,2,北师大版四年级数学下册,小试牛刀（源于典中点）1看图填一填。31仍然平衡12北,2,填空。,(1),因为,20,40,60,，所以,20,40,20,60,(,),(2),因为,60,20,40,，所以,60,20,20,40,(,),(3),因为,x,2.4,10,，所以,x,2.4,2.4,10,(,),(4),等式两边都加上,(,或减去,)(,),，等式仍然成立。,20,20,2.4,同一个数,北师大版四年级数学下册,2填空。20202.4同一个数北师大版四年级数学下册,3,利用等式的性质解方程，填一填。,15,16,0.6,0.6,3,北师大版四年级数学下册,3利用等式的性质解方程，填一填。15160.60.6,4,解方程。,4.5,x,17.25,9,x,3.6(,检验,),x,12.75,x,5.4(,检验略,),北师大版四年级数学下册,4解方程。x12.75x5.4(检验略)北师大版四年级,归纳总结：,（讲解源于,典中点,）,等式两边都加上,(,或减去,),同一个数，等式仍然成立，这就是等式的性质,(,一,),。,北师大版四年级数学下册,归纳总结：（讲解源于典中点）等式两边都加上(或减去)同一,小试牛刀,（教材,P69,练一练）,请你画图或举例说说下面这句话的意思：,等式两边都加上（或减去）同一个数，等式仍然成立。,略,北师大版四年级数学下册,小试牛刀（教材P69练一练）请你画图或举例说说下面这句话的意,看图列方程，并解方程。,y,20,50,20,10,解：,y,20,20,50,20,10,20,y,60,北师大版四年级数学下册,看图列方程，并解方程。,解方程。,x,19,2,x,12.3,3.8,解：,x,19,19,2,19,x,21,解：,x,12.3,12.3,3.8,12.3,x,16.1,北师大版四年级数学下册,解方程。 x192 x12.33.8解：x19,看图列方程，并解方程。,x,4,19,解：,x,4,4,19,4,x,15,x,62,486,解：,x,62,62,486,62,x,548,y,50,60,180,解：,y,50,60,50,60,180,50,60,y,70,北师大版四年级数学下册,看图列方程，并解方程。 x,看图回答问题。,（,1,）图中哪一段长度是（,200,x,）米？,（,2,）图中哪一段长度是（,200,y,）米？,（,3,）根据上图，你能列出两个不同的方程吗？,150,米长的线段。,500,米长的线段。,(,答案不唯一,)200,x,150,200,y,500,北师大版四年级数学下册,看图回答问题。 （1）图中哪一段长度是（200 x）米？,在家或学校栽种一盘蒜苗，每,2,天测量一次蒜苗的高度，并做好数据记录。,略,在家或学校栽种一盘蒜苗，每2天测量一次蒜苗的高度，并做好数据,易错辨析,5,下面的解法对吗？若不对，请改正。,x,10.5,30,解：,x,10.5,10.5,30,10.5,x,19.5,(,),改正：,x,10.5,30,解：,x,10.5,10.5,30,10.5,x,40.5,辨析：没有掌握等式的性质,(,一,),。,易错辨析5下面的解法对吗？若不对，请改正。,版权申明,本文部分内容，包括文字、图片、以及设计等在网上搜集整理.版权为个人所有,This article includes some parts, including text, pictures, and design. Copyright is personal ownership.,用户可将本文地内容或服务用于个人学习、研究或欣赏，以及其他非商业性或非盈利性用途，但同时应遵守著作权法及其他相关法律地规定，不得侵犯本网站及相关权利人地合法权利.除此以外，将本文任何内容或服务用于其他用途时，须征得本人及相关权利人地书面许可，并支付报酬.,Users may use the contents or services of this article for personal study, research or appreciation, and other non-commercial or non-profit purposes, but at the same time, they shall abide by the provisions of copyright law and other relevant laws, and shall not infringe upon the legitimate rights of this website and its relevant obligees. In addition, when any content or service of this article is used for other purposes, written permission and remuneration shall be obtained from the person concerned and the relevant obligee.,转载或引用本文内容必须是以新闻性或资料性公共免费信息为使用目地地合理、善意引用，不得对本文内容原意进行曲解、修改，并自负版权等法律责任,.Reproduction or quotation of the content of this article must be reasonable and good-faith citation for the use of news or informative public free information. It shall not misinterpret or modify the original intention of the content of this article, and shall bear legal liability such as copyright.,版权申明,本文部分内容，包括文字、图片、以及设计等在网上搜集整理.版权为个人所有,This article includes some parts, including text, pictures, and design. Copyright is personal ownership.,用户可将本文地内容或服务用于个人学习、研究或欣赏，以及其他非商业性或非盈利性用途，但同时应遵守著作权法及其他相关法律地规定，不得侵犯本网站及相关权利人地合法权利.除此以外，将本文任何内容或服务用于其他用途时，须征得本人及相关权利人地书面许可，并支付报酬.,Users may use the contents or services of this article for personal study, research or appreciation, and other non-commercial or non-profit purposes, but at the same time, they shall abide by the provisions of copyright law and other relevant laws, and shall not infringe upon the legitimate rights of this website and its relevant obligees. In addition, when any content or service of this article is used for other purposes, written permission and remuneration shall be obtained from the person concerned and the relevant obligee.,转载或引用本文内容必须是以新闻性或资料性公共免费信息为使用目地地合理、善意引用，不得对本文内容原意进行曲解、修改，并自负版权等法律责任,.Reproduction or quotation of the content of this article must be reasonable and good-faith citation for the use of news or informative public free information. It shall not misinterpret or modify the original intention of the content of this article, and shall bear legal liability such as copyright.,版权申明,本文部分内容，包括文字、图片、以及设计等在网上搜集整理.版权为个人所有,This article includes some parts, including text, pictures, and design. Copyright is personal ownership.,用户可将本文地内容或服务用于个人学习、研究或欣赏，以及其他非商业性或非盈利性用途，但同时应遵守著作权法及其他相关法律地规定，不得侵犯本网站及相关权利人地合法权利.除此以外，将本文任何内容或服务用于其他用途时，须征得本人及相关权利人地书面许可，并支付报酬.,Users may use the contents or services of this article for personal study, research or appreciation, and other non-commercial or non-profit purposes, but at the same time, they shall abide by the provisions of copyright law and other relevant laws, and shall not infringe upon the legitimate rights of this website and its relevant obligees. In addition, when any content or service of this article is used for other purposes, written permission and remuneration shall be obtained from the person concerned and the relevant obligee.,转载或引用本文内容必须是以新闻性或资料性公共免费信息为使用目地地合理、善意引用，不得对本文内容原意进行曲解、修改，并自负版权等法律责任,.Reproduction or quotation of the content of this article must be reasonable and good-faith citation for the use of news or informative public free information. It shall not misinterpret or modify the original intention of the content of this article, and shall bear legal liability such as copyright.,版权申明,本文部分内容，包括文字、图片、以及设计等在网上搜集整理.版权为个人所有,This article includes some parts, including text, pictures, and design. Copyright is personal ownership.,用户可将本文地内容或服务用于个人学习、研究或欣赏，以及其他非商业性或非盈利性用途，但同时应遵守著作权法及其他相关法律地规定，不得侵犯本网站及相关权利人地合法权利.除此以外，将本文任何内容或服务用于其他用途时，须征得本人及相关权利人地书面许可，并支付报酬.,Users may use the contents or services of this article for personal study, research or appreciation, and other non-commercial or non-profit purposes, but at the same time, they shall abide by the provisions of copyright law and other relevant laws, and shall not infringe upon the legitimate rights of this website and its relevant obligees. In addition, when any content or service of this article is used for other purposes, written permission and remuneration shall be obtained from the person concerned and the relevant obligee.,转载或引用本文内容必须是以新闻性或资料性公共免费信息为使用目地地合理、善意引用，不得对本文内容原意进行曲解、修改，并自负版权等法律责任,.Reproduction or quotation of the content of this article must be reasonable and good-faith citation for the use of news or informative public free information. It shall not misinterpret or modify the original intention of the content of this article, and shall bear legal liability such as copyright.,版权申明,本文部分内容，包括文字、图片、以及设计等在网上搜集整理.版权为个人所有,This article includes some parts, including text, pictures, and design. Copyright is personal ownership.,用户可将本文地内容或服务用于个人学习、研究或欣赏，以及其他非商业性或非盈利性用途，但同时应遵守著作权法及其他相关法律地规定，不得侵犯本网站及相关权利人地合法权利.除此以外，将本文任何内容或服务用于其他用途时，须征得本人及相关权利人地书面许可，并支付报酬.,Users may use the contents or services of this article for personal study, research or appreciation, and other non-commercial or non-profit purposes, but at the same time, they shall abide by the provisions of copyright law and other relevant laws, and shall not infringe upon the legitimate rights of this website and its relevant obligees. In addition, when any content or service of this article is used for other purposes, written permission and remuneration shall be obtained from the person concerned and the relevant obligee.,转载或引用本文内容必须是以新闻性或资料性公共免费信息为使用目地地合理、善意引用，不得对本文内容原意进行曲解、修改，并自负版权等法律责任,.Reproduction or quotation of the content of this article must be reasonable and good-faith citation for the use of news or informative public free information. It shall not misinterpret or modify the original intention of the content of this article, and shall bear legal liability such as copyright.,版权申明,本文部分内容，包括文字、图片、以及设计等在网上搜集整理.版权为个人所有,This article includes some parts, including text, pictures, and design. Copyright is personal ownership.,用户可将本文地内容或服务用于个人学习、研究或欣赏，以及其他非商业性或非盈利性用途，但同时应遵守著作权法及其他相关法律地规定，不得侵犯本网站及相关权利人地合法权利.除此以外，将本文任何内容或服务用于其他用途时，须征得本人及相关权利人地书面许可，并支付报酬.,Users may use the contents or services of this article for personal study, research or appreciation, and other non-commercial or non-profit purposes, but at the same time, they shall abide by the provisions of copyright law and other relevant laws, and shall not infringe upon the legitimate rights of this website and its relevant obligees. In addition, when any content or service of this article is used for other purposes, written permission and remuneration shall be obtained from the person concerned and the relevant obligee.,转载或引用本文内容必须是以新闻性或资料性公共免费信息为使用目地地合理、善意引用，不得对本文内容原意进行曲解、修改，并自负版权等法律责任,.Reproduction or quotation of the content of this article must be reasonable and good-faith citation for the use of news or informative public free information. It shall not misinterpret or modify the original intention of the content of this article, and shall bear legal liability such as copyright.,版权申明,本文部分内容，包括文字、图片、以及设计等在网上搜集整理.版权为个人所有,This article includes some parts, including text, pictures, and design. Copyright is personal ownership.,用户可将本文地内容或服务用于个人学习、研究或欣赏，以及其他非商业性或非盈利性用途，但同时应遵守著作权法及其他相关法律地规定，不得侵犯本网站及相关权利人地合法权利.除此以外，将本文任何内容或服务用于其他用途时，须征得本人及相关权利人地书面许可，并支付报酬.,Users may use the contents or services of this article for personal study, research or appreciation, and other non-commercial or non-profit purposes, but at the same time, they shall abide by the provisions of copyright law and other relevant laws, and shall not infringe upon the legitimate rights of this website and its relevant obligees. In addition, when any content or service of this article is used for other purposes, written permission and remuneration shall be obtained from the person concerned and the relevant obligee.,转载或引用本文内容必须是以新闻性或资料性公共免费信息为使用目地地合理、善意引用，不得对本文内容原意进行曲解、修改，并自负版权等法律责任,.Reproduction or quotation of the content of this article must be reasonable and good-faith citation for the use of news or informative public free information. It shall not misinterpret or modify the original intention of the content of this article, and shall bear legal liability such as copyright.,谢谢,版权申明版权申明版权申明版权申明版权申明版权申明版权申明谢谢,
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