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1、名师精编优秀教案22.4 圆周角一、指导思想与理论依据学生的数学学习内容应当是现实的、有意义的、富有挑战性的，这些内容要有利于学生主动地进行观察、实验、猜测、验证、推理与交流等数学活动。内容的呈现应采用不同的表达方式，以满足多样化的学习需求。有效的数学学习活动不能单纯地依赖模仿与记忆，动手实践、资助探索与合作交流是学生学习数学的重要方式。由于学生所处的文化环境、家庭背景和自身思维方式的不同，学生的数学学习活动应当是一个生动活泼的、主动的和富有个性的过程二、教材分析1.学情分析在前几节课中学生已经学习了圆心角和圆周角，并且能够结合图形区分什么样的角是圆心角，什么样的角是圆周角。了解了圆心角与弧，
2、弦之间的关系，对于圆的知识已有所了解，同时了解圆心和圆周角的位置关系有三种，为本节课的学习打下了很好的基础圆周角主要介绍了圆周角定理，其中定理证明三种情况要分别证明。因此教学活动中应注意分析和引导，使学生明确，第一种是特殊情况，是证明的基础，其他两种情况都可以转化为第一种情况来解决，转化的工具是添加“以角的顶点为端点的直径”的辅助线。2.教学方式启发引导、自主探究、合作交流3.教学手段多媒体课件辅助教学三、教学目标1了解圆周角与圆心角的关系，能够应用圆周角与圆心角进行简单的计算。2经历圆周角与圆心角数量关系的探究过程，通过测量、猜想、验证与证明等活动，进一步积累数学活动经验，继续培养学生观察、
3、分析、想象、归纳和逻辑推理的能力3.渗透由“特殊到一般”及转化的数学思想方法。教学重点：圆周角与圆心角的关系教学难点：探究圆周角定理的形成过程四、教学过程名师精编优秀教案复习旧知，导入新课活动一：复习旧知，展示猜想问题 1：圆心角与圆周角的区别学生思考后回答，师生共同纠正评价.圆心角：角的顶点在圆心上。圆周角：顶点在圆上；两边都和圆相交.问题 2：在同一圆中，圆心与圆周角的位置关系有几种？学生思考后回答，师生共同评价。问题 3：课前我留给大家一个思考题：同一圆中同一条弧所对的圆周角与圆心角之间在数量上有什么样的关系？请大家在小组活动中完成，下面请小组来汇报一下活动情况.小组代表汇报度量结果，并
4、提出本组的猜想.猜想：一条弧所对的圆周角等于它所对圆心角的一半。（板书）导入课题：同学们的猜想是否成立呢？今天我们就一起来学习、研究一条弧所对的圆周角与圆心角的数量关系.板书课题：圆周角以 问 题 唤 醒学生的回忆，复习圆 周 角 与 圆 心角的 位 置 关 系 与区别，为探索圆心角与 圆 周 角 数 量关系提供依据。动手操作，探究定理活动二：几何画板，验证猜想通 过 几 何 画 板的度量和动态演示，增 强 学 生 对 定理的进一步认识.文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9
5、T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文
6、档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ
7、1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J
8、3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG
9、5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R
10、5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 Z
11、J3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8文档编码:CJ1F1Q8J3T7 HG5N4P2R5N10 ZJ3H5I9T10N8名师精编优秀教案教师利用几何画板进行验证.圆心角与圆周角的位置关系变化时，圆心角与圆周角的数量关系，并引导学生观察位置虽然发生改变，但是，一条弧所对的圆心角的度数是圆周角的2 倍，从而验证了猜想的正确性.问题1：你能把这个命题写成已知求证的形式并试着证明吗？已知：在 O 中，弧 AB所对的圆心角为BOC，圆周角为 BAC求证
12、：BAC=21BOC OABCOABCOABC（a）圆心在圆周角上证明:OA=OC A=C BOC=A+C=2 A A=21BOC（b）圆心在 BAC的内部.证明:作直径 AD.BAD=21BOD，DAC=21DOC 引 导 学 生 说 出这个 命 题 的 已 知条件和结论。由 学 生 自 己 分析已知求证，并根据图形，选择证明方法。当圆心在圆周角外部时（或在圆周角内部时），引导学生作辅助线将问题转化成圆心在圆周角一边上的情况，从而运用前面的结论，得出圆周角定理.这个定理的证明我们文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6
13、 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2
14、ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文
15、档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1
16、I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L
17、2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T
18、8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9
19、K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8名师精编优秀教案且BAD+DAC=21（BOD+DOC）即:BAC=21BOC（c）圆心在 BAC的外部.证明:作直径 AD.DAB=21DOB DAC=21DOC DAC-DAB=21（DOC-DOB）即:BAC=21BOC 问题 2：根据图形你能说出圆周角定理的符号语言吗？学生自己根据图形，分析公理的条件和结论，并说出文字，符号语言.圆周角定理:一条弧所对的圆周角等于它所
20、对圆心角的一半.（板书）剖析定理：揭示：一条弧所对的圆周角与所对的圆心角之间的大小关系作用：一条弧所对的圆周角所对的圆心角这条弧.这三个量，知一求二。分成三种情况，这体现了数学中的分类方法；在证明中，后两种都化成了第一种情况，这体现数学中的化归思想.文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z
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25、R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10
26、N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8名师精编优秀教
27、案CBAoOABCOCBA应用练习，巩固新知例 1：如图，填空：1.已知:在O 中，AOC100，则 B=50小结：由圆心角的度数求圆周角的度数找到一条弧，才有一半的关系。2.已知:在O 中，ACB40，则AOB=80 小结：由圆周角求圆心角的度数，根据弧找到圆周角与圆心角的 2 倍关系。3.已知:在O 中,劣弧 BC 的度数为 100，则 A=50小结：根据劣弧的长度，先求出圆心角的度数，再利用圆周角与圆心角的关系，求出圆周角度数。4.如图所示，在 O 中，O=50，OC/AB。则BDA=_ 105 _。小结：用到的知识平行线性质以及一条弧多对的圆周角与圆心角的关系。例题 1 由学生独立思考
28、，并请4 同学回答，此时教师关注基础薄弱的同学，让他们在课的一开始就感受到成功的喜悦，增强数学学习的兴趣，教师及时给予激励性的评价.小结：强调条件和结论。这 组 练 习 是 直接应用定理的习题，以 达 到 熟 悉 定理的目的.文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R
29、6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N
30、1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6
31、F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A
32、7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I1
33、0N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:C
34、S6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8名师精编优秀教案归纳总结，提升认识四、
35、本节课所学知识？圆周角定理：一条弧所对的圆周角等于它所对的圆心角的一半。定理的内容：揭示了一条弧所对圆周角与圆心角之间的关系。五、还学过哪些证明倍角关系？角平分线定义，等腰三角形三线合一，3.今天你用到的数学思想方法？1.转化的思想方法，转化工具是添加“以角的顶点为端点的直径”的辅助线，作直径是我们圆中常用的添加辅助线的方法。2.由特殊到一般到特殊的思想方法。3.分类讨论的思想方法。通过小结，进一步加 深 对 定 理 的理解，同时对比角的关系证明方法，并加 强 学 生 反 思能力。布置作业，巩固提高基础题：练习册 110页 1-9 提高题：练习册 111 页中考连接布 置 不 同 层 次的作业
36、，使不同的学生 都 得 到 不 同的发展与提高.板书设计21.4圆周角PPT 定理：定理证明：图形符号语言文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文
37、档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1
38、I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L
39、2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T
40、8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9
41、K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M
42、5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8名师精编优秀教案五、教学效果评价设计评价方式评价内容师评评价项目评价等级A B C 课堂发言反映出的思维深度课堂发现问题的角度、能力课堂练习的正确性课堂学习的
43、积极性小组互评课前参与准备资料的积极性与数量设计解决问题的推理合情程度使用信息技术的技能帮助同学的次数、质量自评本节课学习的兴趣独立思考的习惯倾听、理解他人见解及合作交流的意识本节课在知识、方法等方面获得收获的程度文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2
44、ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文
45、档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1
46、I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L
47、2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T
48、8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8文档编码:CS6F8Z9K1I6 HA5A7R6M5L2 ZL9I10N1B3T8