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冬天的颜色是朴素的。万物收藏,土地裸露,一场雪后天地苍茫。然而,冬色却也自成体系,元素虽简单,表达却更丰富细腻。人亦是在看似如此“单调而无趣”的色系中,被浓浓的冬日气氛所感染,感受四季中最后一个时节的给予。在这个美好的季节里,我们爱研究的所有数学人们,再一次相聚国昌实验学校,共同领略,淄博中考试题之美~
","type":1},{"img_height":1706,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/d0108c2b56b242908dcd0ab788acbdd3__jpeg.heic","img_width":1280,"source":0,"source_platform":"local","splicing_template_id":0,"text":"首先是国昌实验学校的王宗俊老师从为我们打开了2021淄博的压轴大题,王老师针对中考中的压轴大题如数家珍,她从第二问,因动点产生的三角形面积入手,为我们提供了多种思路,在研究这类问题中,关键一步就是建立模型,王老师为我们总结了这个模型特征,就是一端在直线上,另一端在抛物线的抛物线上的基本模基本图形为,并且在中考中此模型的四种变式考法提供了基本模型。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1L2QwMTA4YzJiNTZiMjQyOTA4ZGNkMGFiNzg4YWNiZGQzX19qcGVnLmhlaWM=/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"img_height":1080,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/23d59df365d64f7686e06473d3148d48__jpeg.heic","img_width":1920,"source":0,"source_platform":"local","splicing_template_id":0,"type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1LzIzZDU5ZGYzNjVkNjRmNzY4NmUwNjQ3M2QzMTQ4ZDQ4X19qcGVnLmhlaWM=/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"img_height":800,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/1abb1928e32d46ebb24b599d09738341__jpeg.heic","img_width":600,"source":0,"source_platform":"local","splicing_template_id":0,"text":"赵利环老师以23题为抓手,延伸开来,介绍了正方形+十字架模型,构建识模能力,培养学生数学思维,使得学生能够准确识变、科学应变、主动求变,顺利应考!
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1LzFhYmIxOTI4ZTMyZDQ2ZWJiMjRiNTk5ZDA5NzM4MzQxX19qcGVnLmhlaWM=/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"img_height":2000,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/d79542129bd74c689b49aba50f243b68__jpeg.heic","img_width":2666,"source":0,"source_platform":"local","splicing_template_id":0,"text":"六中的杜瑞红老师针对17题做了讲解,针对三条线段之和最小问题,从旋转到两点之间线段最短的这个思路,联系拓展到了永州的中考试题,最后用托米斯定理在圆中的应用让我们在座的老师耳目一新,学习了许多。真的,每次杜老师都会给我们带来不一样的做题思路和研究方向,让我们认识到原来数学还可以这样思考。树立超常规理念,研究超常规举措,拿出超常规力度。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1L2Q3OTU0MjEyOWJkNzRjNjg5YjQ5YWJhNTBmMjQzYjY4X19qcGVnLmhlaWM=/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"img_height":2000,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/29d39629dfde447cab4938fd082ed5bc__jpeg.heic","img_width":2666,"source":0,"source_platform":"local","splicing_template_id":0,"text":"授田的李娜老师针对20题,针对中考中的反比例函数与一次函数结合的面积问题,提供求面积的方法,已知点求面积已知面积求点的问题,在此题目中充分考虑了数形结合的思想里,李娜老师从设计知识点到一题多解,提供了多种解答思路,数形结合在此类题目中的应用.其实反比例函数在近几年滨州卷中也慢慢凸显出规律,显而易见的模型,我们还需要及时给学生补充,可谓是学习无止境呢!
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1LzI5ZDM5NjI5ZGZkZTQ0N2NhYjQ5MzhmZDA4MmVkNWJjX19qcGVnLmhlaWM=/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"img_height":2000,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/e5f260144edc462fa076eb0973903af9__jpeg.heic","img_width":2666,"source":0,"source_platform":"local","splicing_template_id":0,"text":"三中的徐坤老师填空题的第16题入手,准备充分,抛物线与X轴交点问题转化为二次函数的极值问题,徐老师考虑到学生的思维误区,她把这个二次函数的题目,变式提供了两种思路,一种是方程组的求解问题,第二种思路就是数形结合的思想,然后接着徐老师又进行了一个题目的变式提升,从一次函数与线段的交点,进阶到二次函数与线段的交点问题,总结归纳到位。不拘泥于定势之格,不固守于传统之端,不呆板于经验之法。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1L2U1ZjI2MDE0NGVkYzQ2MmZhMDc2ZWIwOTczOTAzYWY5X19qcGVnLmhlaWM=/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"img_height":2000,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/e88b146e80b2462eace42a894d6c80a6__jpeg.heic","img_width":2666,"source":0,"source_platform":"local","splicing_template_id":0,"text":"三河湖的张国明老师针对选择题第12题,他从提供了三种思路,一个是设点的坐标特征,二从面积比入手,三看识模型的能力去讲解,打开了数学思路的大门,解答完此题,张老师又从题目的变式为切入点进行了一题多变,我们深深体会了数学转化思想在解题中的应用。他从一题多解,K的几何意义思路去讲解,与在座的老师产生了共鸣.如同学生一样,对于一个题目的看法,展开了讨论,使得氛围到达顶峰!
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1L2U4OGIxNDZlODBiMjQ2MmVhY2U0MmE4OTRkNmM4MGE2X19qcGVnLmhlaWM=/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"img_height":2000,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/5bc49c258dc64c62b63cb32c881eac19__jpeg.heic","img_width":2666,"source":0,"source_platform":"local","splicing_template_id":0,"text":"国昌实验的王胜男老师从选择题第11题入手,从学生的角度分析学生存在的问题,学生可能存在望而生畏,审题不明等可能存在的问题,从题目的研究价值,从几何形的角度分析,代数解答的方法去尝试,王胜男老师虽然年轻,数学业务素质过硬,能从学生的角度去研究题目,更接地气。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1LzViYzQ5YzI1OGRjNjRjNjJiNjNjYjMyYzg4MWVhYzE5X19qcGVnLmhlaWM=/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"img_height":1280,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/1304f95a773a4ef98732c75e6875f486__jpeg.heic","img_width":1706,"source":0,"source_platform":"local","splicing_template_id":0,"type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1LzEzMDRmOTVhNzczYTRlZjk4NzMyYzc1ZTY4NzVmNDg2X19qcGVnLmhlaWM=/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"source":0,"source_platform":"local","splicing_template_id":0,"text":"六中的吕霞老师针对选择题第10题进行了讲解,她先让学生做,体验题目的难易程度,知面积求点入手,运用逆向思维,已知符合条件的点,去研究面积问题,互逆思维的运用,在数学中训练,我们更应重视。
","type":1},{"source":0,"source_platform":"local","splicing_template_id":0,"text":"每位老师都收获满满,韩炳华老师也写下了自己的感悟,坚持写反思写感悟一直是韩老师的习惯,也切实教会我们:自省,反思,经验,可成名师~
","type":1},{"img_height":408,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/5862dee6690b4940aee4a8e15792f52b__png.heic","img_width":554,"source":0,"source_platform":"local","splicing_template_id":0,"type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1LzU4NjJkZWU2NjkwYjQ5NDBhZWU0YThlMTU3OTJmNTJiX19wbmcuaGVpYw==/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"source":0,"source_platform":"local","splicing_template_id":0,"text":"一下午的时间过得飞快,我们慢慢的都沉迷在其中,感觉不到时间的流逝,真理的波涛,喷涌而出就奔流不息;理想的火焰,一经点燃就不会熄灭。期待下次我们的相聚,我们滨城区的数学人,一直行走在路上…
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","type":1},{"img_height":1706,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/d0108c2b56b242908dcd0ab788acbdd3__jpeg.heic","img_width":1280,"source":0,"source_platform":"local","splicing_template_id":0,"text":"首先是国昌实验学校的王宗俊老师从为我们打开了2021淄博的压轴大题,王老师针对中考中的压轴大题如数家珍,她从第二问,因动点产生的三角形面积入手,为我们提供了多种思路,在研究这类问题中,关键一步就是建立模型,王老师为我们总结了这个模型特征,就是一端在直线上,另一端在抛物线的抛物线上的基本模基本图形为,并且在中考中此模型的四种变式考法提供了基本模型。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1L2QwMTA4YzJiNTZiMjQyOTA4ZGNkMGFiNzg4YWNiZGQzX19qcGVnLmhlaWM=/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"img_height":1080,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/23d59df365d64f7686e06473d3148d48__jpeg.heic","img_width":1920,"source":0,"source_platform":"local","splicing_template_id":0,"type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1LzIzZDU5ZGYzNjVkNjRmNzY4NmUwNjQ3M2QzMTQ4ZDQ4X19qcGVnLmhlaWM=/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"img_height":800,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/1abb1928e32d46ebb24b599d09738341__jpeg.heic","img_width":600,"source":0,"source_platform":"local","splicing_template_id":0,"text":"赵利环老师以23题为抓手,延伸开来,介绍了正方形+十字架模型,构建识模能力,培养学生数学思维,使得学生能够准确识变、科学应变、主动求变,顺利应考!
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1LzFhYmIxOTI4ZTMyZDQ2ZWJiMjRiNTk5ZDA5NzM4MzQxX19qcGVnLmhlaWM=/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"img_height":2000,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/d79542129bd74c689b49aba50f243b68__jpeg.heic","img_width":2666,"source":0,"source_platform":"local","splicing_template_id":0,"text":"六中的杜瑞红老师针对17题做了讲解,针对三条线段之和最小问题,从旋转到两点之间线段最短的这个思路,联系拓展到了永州的中考试题,最后用托米斯定理在圆中的应用让我们在座的老师耳目一新,学习了许多。真的,每次杜老师都会给我们带来不一样的做题思路和研究方向,让我们认识到原来数学还可以这样思考。树立超常规理念,研究超常规举措,拿出超常规力度。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1L2Q3OTU0MjEyOWJkNzRjNjg5YjQ5YWJhNTBmMjQzYjY4X19qcGVnLmhlaWM=/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"img_height":2000,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/29d39629dfde447cab4938fd082ed5bc__jpeg.heic","img_width":2666,"source":0,"source_platform":"local","splicing_template_id":0,"text":"授田的李娜老师针对20题,针对中考中的反比例函数与一次函数结合的面积问题,提供求面积的方法,已知点求面积已知面积求点的问题,在此题目中充分考虑了数形结合的思想里,李娜老师从设计知识点到一题多解,提供了多种解答思路,数形结合在此类题目中的应用.其实反比例函数在近几年滨州卷中也慢慢凸显出规律,显而易见的模型,我们还需要及时给学生补充,可谓是学习无止境呢!
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1LzI5ZDM5NjI5ZGZkZTQ0N2NhYjQ5MzhmZDA4MmVkNWJjX19qcGVnLmhlaWM=/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"img_height":2000,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/e5f260144edc462fa076eb0973903af9__jpeg.heic","img_width":2666,"source":0,"source_platform":"local","splicing_template_id":0,"text":"三中的徐坤老师填空题的第16题入手,准备充分,抛物线与X轴交点问题转化为二次函数的极值问题,徐老师考虑到学生的思维误区,她把这个二次函数的题目,变式提供了两种思路,一种是方程组的求解问题,第二种思路就是数形结合的思想,然后接着徐老师又进行了一个题目的变式提升,从一次函数与线段的交点,进阶到二次函数与线段的交点问题,总结归纳到位。不拘泥于定势之格,不固守于传统之端,不呆板于经验之法。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1L2U1ZjI2MDE0NGVkYzQ2MmZhMDc2ZWIwOTczOTAzYWY5X19qcGVnLmhlaWM=/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"img_height":2000,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/e88b146e80b2462eace42a894d6c80a6__jpeg.heic","img_width":2666,"source":0,"source_platform":"local","splicing_template_id":0,"text":"三河湖的张国明老师针对选择题第12题,他从提供了三种思路,一个是设点的坐标特征,二从面积比入手,三看识模型的能力去讲解,打开了数学思路的大门,解答完此题,张老师又从题目的变式为切入点进行了一题多变,我们深深体会了数学转化思想在解题中的应用。他从一题多解,K的几何意义思路去讲解,与在座的老师产生了共鸣.如同学生一样,对于一个题目的看法,展开了讨论,使得氛围到达顶峰!
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1L2U4OGIxNDZlODBiMjQ2MmVhY2U0MmE4OTRkNmM4MGE2X19qcGVnLmhlaWM=/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"img_height":2000,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/5bc49c258dc64c62b63cb32c881eac19__jpeg.heic","img_width":2666,"source":0,"source_platform":"local","splicing_template_id":0,"text":"国昌实验的王胜男老师从选择题第11题入手,从学生的角度分析学生存在的问题,学生可能存在望而生畏,审题不明等可能存在的问题,从题目的研究价值,从几何形的角度分析,代数解答的方法去尝试,王胜男老师虽然年轻,数学业务素质过硬,能从学生的角度去研究题目,更接地气。
","type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1LzViYzQ5YzI1OGRjNjRjNjJiNjNjYjMyYzg4MWVhYzE5X19qcGVnLmhlaWM=/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"img_height":1280,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/1304f95a773a4ef98732c75e6875f486__jpeg.heic","img_width":1706,"source":0,"source_platform":"local","splicing_template_id":0,"type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1LzEzMDRmOTVhNzczYTRlZjk4NzMyYzc1ZTY4NzVmNDg2X19qcGVnLmhlaWM=/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"source":0,"source_platform":"local","splicing_template_id":0,"text":"六中的吕霞老师针对选择题第10题进行了讲解,她先让学生做,体验题目的难易程度,知面积求点入手,运用逆向思维,已知符合条件的点,去研究面积问题,互逆思维的运用,在数学中训练,我们更应重视。
","type":1},{"source":0,"source_platform":"local","splicing_template_id":0,"text":"每位老师都收获满满,韩炳华老师也写下了自己的感悟,坚持写反思写感悟一直是韩老师的习惯,也切实教会我们:自省,反思,经验,可成名师~
","type":1},{"img_height":408,"img_url":"https://ss-mpvolc.meipian.me/users/100373315/5862dee6690b4940aee4a8e15792f52b__png.heic","img_width":554,"source":0,"source_platform":"local","splicing_template_id":0,"type":1,"watermark":"?meipian-watermark/bucket/ivwen/key/dXNlcnMvMTAwMzczMzE1LzU4NjJkZWU2NjkwYjQ5NDBhZWU0YThlMTU3OTJmNTJiX19wbmcuaGVpYw==/nickname/6IOc55S35ZCW/userid/MTAwMzczMzE1/sign/63cd4c70b76a26192623abe00cf6c147"},{"source":0,"source_platform":"local","splicing_template_id":0,"text":"一下午的时间过得飞快,我们慢慢的都沉迷在其中,感觉不到时间的流逝,真理的波涛,喷涌而出就奔流不息;理想的火焰,一经点燃就不会熄灭。期待下次我们的相聚,我们滨城区的数学人,一直行走在路上…
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