冀教版七年级下册数学 7.7相交线与平行线 回顾与反思 教案
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| 名称 | 冀教版七年级下册数学 7.7相交线与平行线 回顾与反思 教案 |  | |
| 格式 | doc | ||
| 文件大小 | 133.8KB | ||
| 资源类型 | 教案 | ||
| 版本资源 | 冀教版 | ||
| 科目 | 数学 | ||
| 更新时间 | 2022-05-09 12:40:53 | ||
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第七&= #31456; 回顾与反思 教学设计
课堂教学= 5774;计说明 =
1 ．本教案的教学ą= 02;间为 1 课时
2 ．本节课也可以ă= 13;为讨论式．
教师于一= 3267;二天前先布置以下= 2;论题，让学生在课外&= #20934;备，分为两大组．
第一组题= 0446;： =
（ 1 ）本&= #31456;的主要内容：（哪= 123;知识，分为几大部分= ;）
（ 2 ）主&= #35201;概念和定理．
（ 3 ）典&= #22411;题目．
（ 4 ）能&= #21542;画出知识结构图．
（ 5 ）出&= #19968;份测试题．
第二组题= 0446;： =
每人写出= 3398;习第二章 “ 相交线，平行线” 后的总结．
提纲： = =
（ 1 ）这&= #19968;章你都学到了哪些 = 693;识？
（ 2 ）学&= #23436;第二章你对几何课= 377;什么新的认识和体会= ;．
（ 3 ）你&= #23545;几何课的教学有什= 040;意见和建议．
在课前教= 4072;看几类学生（上、ߑ= 3;、下）的准备情况，&= #36873;几份较好的，也选= 004;份写的不认真的或抓= ;不住重点的，在课堂&#= 19978;读给大家听．然后ʌ= 92;教师根据学生谈的情= 况，让其他学生评论= 4635;结中的优点和不足ᦁ= 4;比如：哪些重点内容&= #27809;提到，知识间的关 = 995;说的不清楚等．课堂= ;上发言会很积极和活&#= 36291;．
教师还可= 0197;让没有发言的同学= 9;一想，自己的总结是&= #21542;比他们总结得好．= 914;果是这样，请主动出= ;来念一念，也会有学&#= 29983;站出来讲．
最后，教= 4072;让学生将自己画的= 3;识结构图拿出来，大&= #23478;再评判，最后可找= 968;个最好的作为样本．= ;
布置的作= 9994;是：某个同学的测= 7;题．
这种形式= 0340;复习课，气氛活跃ᦁ= 2;人人参与，没有不注&= #24847;听讲的，也没有走 = 070;的．这种课型的课，= ;在课下一定要让学生&#= 23436;成老师= ;课前布置的任务，否&#= 21017;在课堂上大家乱说ʌ= 92;针对性就不会太强，= 效果也不会好．
教学目标
（&= #19968;）知识与技能：
1 ．能说出对顶角z= 89;邻补角、同位角、内= 错角、同旁内角的概= 4565;，能在图形中正确ࢸ= 0;辨认它们．
2 ．能说出垂线，Ġ= 57;到直线的距离的概念= ，会用三角板或量角= 2120;画直线的垂线，可ࡢ= 5;述出垂线段最短的性&= #36136;，会度量点到直线 = 340;距离．
3 ．能说出平行线į= 40;概念，可灵活应用平= 行公理及其推论，平= 4892;线的判定、性质，ߩ= 0;用三角板和直尺画各&= #31181;位置的直线的平行 = 447;
4 ．提高观察图形Ø= 44;利用图形、结合图形= 分析和解决问题的能= 1147;．
（二）过= 1243;与方法：
1 ．经历知识的总ń= 67;过程，回顾知识点，= 发展形成知识结构的= 3021;力（框图和知识要= 7;概括两种形式）
2 ．通过对推理证ą= 26;有进一步理解，进一= 步提高分析问题和解= 0915;问题的能力．
（三）情= 4863;态度价值观：
1 ．通过几何图形į= 40;辨识，提高对几何图= 形的美感的认识
2 ．通过几何图形į= 40;分解，认识到基本图= 形的简单美
3 ．通过图形分析ʌ= 92;渗透化繁为简、化难= 为易的划归思想和转= 1270;思想及方程思想
教学重点= 1644;难点 =
重点是使= 3398;生形成知识结构，ॲ= 2;运用所学的知识进行&= #31616;单的推理证明，难 = 857;是证题的思考过程．= ;
课时安排 =
1 课时
教学过程= 5774;计 =
一、回忆= 6412;章内容，得到知识ಮ= 7;构图 =
提出以下= 8382;题，学生思考后回ౕ= 2;．
（ 1 ）本&= #31456;主要研究两条直线 = 340;哪几种位置关系？ =
（ 2 ）相&= #20132;线部分分别是几条 = 447;相交，所成的各是哪= ;些角？它们的定义、&#= 24615;质分别是什么？
（ 3 ）垂&= #32447;部分都有哪些内容A= 311;
（ 4 ）平&= #34892;线部分的重点内容= 159;什么？
教师在学= 9983;回忆了本章主要内ब= 1;之后，与学生一起讨&= #35770;画出本章的知识结= 500;图．
二、本章= 0340;重要概念、性质、ਬ= 1;法 =
1 ．概念．
关于相关= 5282;的概念：对顶角、= 1;补角、同旁内角、内&= #38169;角、同位角．
关于两线= 0340;概念：平行线、垂ಬ= 7;、垂线段．
其它：点= 1644;点的距离．点到直ಬ= 7;的距离、垂直、命题&= #31561;．
2 ．性质．
（ l ）对&= #39030;角的性质；
（ 2 ）垂&= #32447;的性质；
（ 3 ）平&= #34892;公理；
（ 4 ）平&= #34892;线的判定定理；
（ 5 ）平&= #34892;线的性质定理．
3 ．画法．
（ l ）垂&= #32447;的画法；
（ 2 ）平&= #34892;线的画法．
4 ．证明几种类型ſ= 82;题的主要依据．
（ l ）证&= #26126;两条直线垂直的依= 454;；
（ 2 ）证&= #26126;两条直线平行的依= 454;；
（ 3 ）证&= #26126;两个角相等的依据A= 294;
以上由同= 3398;以小组为单位回忆ᦁ= 2;一个小组说一个问题&= #30340;答案，其他同学给= 104;补充．
三、辨认= 2270;形的训练 =
目的：概= 4565;不离图，图中识概ঘ= 5;．
“F” 字型中的同位角ʌ= 94;如图 2-92 ．
3D"http://202.97.254.113:8080/RESOURCE/CZ/CZSX/DGJC2/JH1/GS/MTDL/a22310=
“Z” 字型中的内错角ʌ= 92;如图 2-93 ．
3D"http://202.97.254.113:8080/RESOURCE/CZ/CZSX/DGJC2/JH1/GS/MTDL/a22310=
“U” 字型中的同旁内Š= 82;．如图 2-94 ．
3D"http://202.97.254.113:8080/RESOURCE/CZ/CZSX/DGJC2/JH1/GS/MTDL/a22310=
四、学好= 6412;章内容的要求 =
重要概念= 5201;做到 “ 五会 ”
（ 1 ）会&= #34920;达：能正确地叙述= 010;念的定义．
（ 2 ）会&= #35782;图：能在较复杂的= 270;形中识别出概念所反= ;映的部分．
（ 3 ）会&= #32763;译：能结合图形把= 010;念的定义翻译成符号= ;语言．
（ 4 ）会&= #30011;图：能画出概念所= 453;映的几何图形，以及= ;变式图形，会在图上&#= 26631;注字母或符号．
（ 5 ）会&= #24212;用：能应用概念进"= 892;简单的判断、推理和= ;计算．
五、典型= 9064;目练习 =
1 ．已知：如图 2-95 ．∠ 1+ ∠ 3=3D180° ． CD ⊥ AD ， CM 平分∠ DCE ，求∠ 4 的度数．
3D"http://202.97.254.113:8080/RESOURCE/CZ/CZSX/DGJC2/JH1/GS/MTDL/a22310=
解 ：∵∠ 3=3D ∠ 6 ，（对顶角相等ʌ= 89;
∠ 1+ ∠ 3=3D180° ，（已知）
∴∠ 1+ ∠ 6=3D180° ．（等量代换）
∴ AD ∥ BC ．（同旁内角互ŝ= 17;，两直线平行）
又∵ AD ⊥ AD ，（已知）
∴∠ 7=3D90° ．（&= #22402;直定义）
又∵ AD ∥ BC ，（已知）
∴∠ 7+ ∠ DCE=3D180° <= span style=3D'mso-ascii-font-family:"Times New Roman";mso-bidi-font-family:"Time= s New Roman"'>，（两直线平行ʌ= 92;同旁内角互补）
∴∠ DCE ＝ 90° ．
又∵ CM 平分&= #8736; DCE ，（已知）
2 ．如图 2-96 ，∠ 1=3D ∠ 2 ，∠ 3=3D ∠ 4 ，∠ 5=3D ∠ A ．
求证： BE ∥ CF ．
3D"http://202.97.254.113:8080/RESOURCE/CZ/CZSX/DGJC2/JH1/GS/MTDL/a22310=
证明 ：∵∠ 3=3D ∠ 4 ，（已知）
∴ AE ∥ BC ．（内错角相等ʌ= 92;两直线平行）
∴∠ EDC=3D ∠ 5 ，（两直线平行ʌ= 92;内错角相等）
又∠ 5=3D ∠ A ，（已知）
∴∠ EDC=3D ∠ A ，（等量代换）
∴ DC ∥ AB ．（同位角相等ʌ= 92;两直线平行）
∴∠ 5+ ∠ 2+ ∠ 3=3D180° ．（两直线平行ʌ= 92;同旁内角互补）
∠ 1=3D ∠ 2 ，（已知）
∴∠ 1+ ∠ 5+ ∠ 3=3D180° ，（等量代换）
∴ BE ∥ FC ．（同旁内角互ŝ= 17;．两直线平行）
3 ．如图 2-97 ，已知： DC ∥ AB ，∠ ABD+ ∠ A=3D90° ，
求证： AD ⊥ DB ．
3D"http://202.97.254.113:8080/RESOURCE/CZ/CZSX/DGJC2/JH1/GS/MTDL/a22310=
证明 ：∵ DC ∥ AB ，（已知）
∴∠ 1=3D ∠ 2 ，（两直线平行ʌ= 92;内错角相等）
∠ 1+ ∠ 3+ ∠ A=3D180° ，（两直线平行ʌ= 92;同旁内角互补）
∴∠ 2+ ∠ 3+ ∠ A=3D180° ．（等量代换）
∴∠ ABD+ ∠ A=3D90° ，（已知）
∴∠ 3+90°=3D180° ，（等量代换）
∴∠ 3=3D90° ，（&= #31561;式性质）
∴ AD ⊥ DB ．（垂直定义）
六、总结 =
学生回忆= 6412;节课内容．
1 ．本章的知识结ĉ= 00;．
2 ．本章的重要概õ= 65;、性质和方法．
3 ．变式图形的辨ť= 82;．
4 ．学好本章概念į= 40;五个要求．
七、板书= 5774;计 =
回顾与反思
知识结&= #26500;图 &nbs= p; 辨认图&= #24418; &nbs= p; 例题
&nbs= p; “ 五Ê= 50; ”
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第七&= #31456; 回顾与反思 教学设计
课堂教学= 5774;计说明 =
1 ．本教案的教学ą= 02;间为 1 课时
2 ．本节课也可以ă= 13;为讨论式．
教师于一= 3267;二天前先布置以下= 2;论题，让学生在课外&= #20934;备，分为两大组．
第一组题= 0446;： =
（ 1 ）本&= #31456;的主要内容：（哪= 123;知识，分为几大部分= ;）
（ 2 ）主&= #35201;概念和定理．
（ 3 ）典&= #22411;题目．
（ 4 ）能&= #21542;画出知识结构图．
（ 5 ）出&= #19968;份测试题．
第二组题= 0446;： =
每人写出= 3398;习第二章 “ 相交线，平行线” 后的总结．
提纲： = =
（ 1 ）这&= #19968;章你都学到了哪些 = 693;识？
（ 2 ）学&= #23436;第二章你对几何课= 377;什么新的认识和体会= ;．
（ 3 ）你&= #23545;几何课的教学有什= 040;意见和建议．
在课前教= 4072;看几类学生（上、ߑ= 3;、下）的准备情况，&= #36873;几份较好的，也选= 004;份写的不认真的或抓= ;不住重点的，在课堂&#= 19978;读给大家听．然后ʌ= 92;教师根据学生谈的情= 况，让其他学生评论= 4635;结中的优点和不足ᦁ= 4;比如：哪些重点内容&= #27809;提到，知识间的关 = 995;说的不清楚等．课堂= ;上发言会很积极和活&#= 36291;．
教师还可= 0197;让没有发言的同学= 9;一想，自己的总结是&= #21542;比他们总结得好．= 914;果是这样，请主动出= ;来念一念，也会有学&#= 29983;站出来讲．
最后，教= 4072;让学生将自己画的= 3;识结构图拿出来，大&= #23478;再评判，最后可找= 968;个最好的作为样本．= ;
布置的作= 9994;是：某个同学的测= 7;题．
这种形式= 0340;复习课，气氛活跃ᦁ= 2;人人参与，没有不注&= #24847;听讲的，也没有走 = 070;的．这种课型的课，= ;在课下一定要让学生&#= 23436;成老师= ;课前布置的任务，否&#= 21017;在课堂上大家乱说ʌ= 92;针对性就不会太强，= 效果也不会好．
教学目标
（&= #19968;）知识与技能：
1 ．能说出对顶角z= 89;邻补角、同位角、内= 错角、同旁内角的概= 4565;，能在图形中正确ࢸ= 0;辨认它们．
2 ．能说出垂线，Ġ= 57;到直线的距离的概念= ，会用三角板或量角= 2120;画直线的垂线，可ࡢ= 5;述出垂线段最短的性&= #36136;，会度量点到直线 = 340;距离．
3 ．能说出平行线į= 40;概念，可灵活应用平= 行公理及其推论，平= 4892;线的判定、性质，ߩ= 0;用三角板和直尺画各&= #31181;位置的直线的平行 = 447;
4 ．提高观察图形Ø= 44;利用图形、结合图形= 分析和解决问题的能= 1147;．
（二）过= 1243;与方法：
1 ．经历知识的总ń= 67;过程，回顾知识点，= 发展形成知识结构的= 3021;力（框图和知识要= 7;概括两种形式）
2 ．通过对推理证ą= 26;有进一步理解，进一= 步提高分析问题和解= 0915;问题的能力．
（三）情= 4863;态度价值观：
1 ．通过几何图形į= 40;辨识，提高对几何图= 形的美感的认识
2 ．通过几何图形į= 40;分解，认识到基本图= 形的简单美
3 ．通过图形分析ʌ= 92;渗透化繁为简、化难= 为易的划归思想和转= 1270;思想及方程思想
教学重点= 1644;难点 =
重点是使= 3398;生形成知识结构，ॲ= 2;运用所学的知识进行&= #31616;单的推理证明，难 = 857;是证题的思考过程．= ;
课时安排 =
1 课时
教学过程= 5774;计 =
一、回忆= 6412;章内容，得到知识ಮ= 7;构图 =
提出以下= 8382;题，学生思考后回ౕ= 2;．
（ 1 ）本&= #31456;主要研究两条直线 = 340;哪几种位置关系？ =
（ 2 ）相&= #20132;线部分分别是几条 = 447;相交，所成的各是哪= ;些角？它们的定义、&#= 24615;质分别是什么？
（ 3 ）垂&= #32447;部分都有哪些内容A= 311;
（ 4 ）平&= #34892;线部分的重点内容= 159;什么？
教师在学= 9983;回忆了本章主要内ब= 1;之后，与学生一起讨&= #35770;画出本章的知识结= 500;图．
二、本章= 0340;重要概念、性质、ਬ= 1;法 =
1 ．概念．
关于相关= 5282;的概念：对顶角、= 1;补角、同旁内角、内&= #38169;角、同位角．
关于两线= 0340;概念：平行线、垂ಬ= 7;、垂线段．
其它：点= 1644;点的距离．点到直ಬ= 7;的距离、垂直、命题&= #31561;．
2 ．性质．
（ l ）对&= #39030;角的性质；
（ 2 ）垂&= #32447;的性质；
（ 3 ）平&= #34892;公理；
（ 4 ）平&= #34892;线的判定定理；
（ 5 ）平&= #34892;线的性质定理．
3 ．画法．
（ l ）垂&= #32447;的画法；
（ 2 ）平&= #34892;线的画法．
4 ．证明几种类型ſ= 82;题的主要依据．
（ l ）证&= #26126;两条直线垂直的依= 454;；
（ 2 ）证&= #26126;两条直线平行的依= 454;；
（ 3 ）证&= #26126;两个角相等的依据A= 294;
以上由同= 3398;以小组为单位回忆ᦁ= 2;一个小组说一个问题&= #30340;答案，其他同学给= 104;补充．
三、辨认= 2270;形的训练 =
目的：概= 4565;不离图，图中识概ঘ= 5;．
“F” 字型中的同位角ʌ= 94;如图 2-92 ．
3D"http://202.97.254.113:8080/RESOURCE/CZ/CZSX/DGJC2/JH1/GS/MTDL/a22310=
“Z” 字型中的内错角ʌ= 92;如图 2-93 ．
3D"http://202.97.254.113:8080/RESOURCE/CZ/CZSX/DGJC2/JH1/GS/MTDL/a22310=
“U” 字型中的同旁内Š= 82;．如图 2-94 ．
3D"http://202.97.254.113:8080/RESOURCE/CZ/CZSX/DGJC2/JH1/GS/MTDL/a22310=
四、学好= 6412;章内容的要求 =
重要概念= 5201;做到 “ 五会 ”
（ 1 ）会&= #34920;达：能正确地叙述= 010;念的定义．
（ 2 ）会&= #35782;图：能在较复杂的= 270;形中识别出概念所反= ;映的部分．
（ 3 ）会&= #32763;译：能结合图形把= 010;念的定义翻译成符号= ;语言．
（ 4 ）会&= #30011;图：能画出概念所= 453;映的几何图形，以及= ;变式图形，会在图上&#= 26631;注字母或符号．
（ 5 ）会&= #24212;用：能应用概念进"= 892;简单的判断、推理和= ;计算．
五、典型= 9064;目练习 =
1 ．已知：如图 2-95 ．∠ 1+ ∠ 3=3D180° ． CD ⊥ AD ， CM 平分∠ DCE ，求∠ 4 的度数．
3D"http://202.97.254.113:8080/RESOURCE/CZ/CZSX/DGJC2/JH1/GS/MTDL/a22310=
解 ：∵∠ 3=3D ∠ 6 ，（对顶角相等ʌ= 89;
∠ 1+ ∠ 3=3D180° ，（已知）
∴∠ 1+ ∠ 6=3D180° ．（等量代换）
∴ AD ∥ BC ．（同旁内角互ŝ= 17;，两直线平行）
又∵ AD ⊥ AD ，（已知）
∴∠ 7=3D90° ．（&= #22402;直定义）
又∵ AD ∥ BC ，（已知）
∴∠ 7+ ∠ DCE=3D180° <= span style=3D'mso-ascii-font-family:"Times New Roman";mso-bidi-font-family:"Time= s New Roman"'>，（两直线平行ʌ= 92;同旁内角互补）
∴∠ DCE ＝ 90° ．
又∵ CM 平分&= #8736; DCE ，（已知）
2 ．如图 2-96 ，∠ 1=3D ∠ 2 ，∠ 3=3D ∠ 4 ，∠ 5=3D ∠ A ．
求证： BE ∥ CF ．
3D"http://202.97.254.113:8080/RESOURCE/CZ/CZSX/DGJC2/JH1/GS/MTDL/a22310=
证明 ：∵∠ 3=3D ∠ 4 ，（已知）
∴ AE ∥ BC ．（内错角相等ʌ= 92;两直线平行）
∴∠ EDC=3D ∠ 5 ，（两直线平行ʌ= 92;内错角相等）
又∠ 5=3D ∠ A ，（已知）
∴∠ EDC=3D ∠ A ，（等量代换）
∴ DC ∥ AB ．（同位角相等ʌ= 92;两直线平行）
∴∠ 5+ ∠ 2+ ∠ 3=3D180° ．（两直线平行ʌ= 92;同旁内角互补）
∠ 1=3D ∠ 2 ，（已知）
∴∠ 1+ ∠ 5+ ∠ 3=3D180° ，（等量代换）
∴ BE ∥ FC ．（同旁内角互ŝ= 17;．两直线平行）
3 ．如图 2-97 ，已知： DC ∥ AB ，∠ ABD+ ∠ A=3D90° ，
求证： AD ⊥ DB ．
3D"http://202.97.254.113:8080/RESOURCE/CZ/CZSX/DGJC2/JH1/GS/MTDL/a22310=
证明 ：∵ DC ∥ AB ，（已知）
∴∠ 1=3D ∠ 2 ，（两直线平行ʌ= 92;内错角相等）
∠ 1+ ∠ 3+ ∠ A=3D180° ，（两直线平行ʌ= 92;同旁内角互补）
∴∠ 2+ ∠ 3+ ∠ A=3D180° ．（等量代换）
∴∠ ABD+ ∠ A=3D90° ，（已知）
∴∠ 3+90°=3D180° ，（等量代换）
∴∠ 3=3D90° ，（&= #31561;式性质）
∴ AD ⊥ DB ．（垂直定义）
六、总结 =
学生回忆= 6412;节课内容．
1 ．本章的知识结ĉ= 00;．
2 ．本章的重要概õ= 65;、性质和方法．
3 ．变式图形的辨ť= 82;．
4 ．学好本章概念į= 40;五个要求．
七、板书= 5774;计 =
回顾与反思
知识结&= #26500;图 &nbs= p; 辨认图&= #24418; &nbs= p; 例题
&nbs= p; “ 五Ê= 50; ”
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同课章节目录
- 第六章 二元一次方程组
- 6.1 二元一次方程组
- 6.2 二元一次方程组的解法
- 6.3 二元一次方程组的应用
- 6.4 简单的三元一次方程组
- 第七章 相交线与平行线
- 7.1 命题
- 7.2 相交线
- 7.3 平行线
- 7.4 平行线的判定
- 7.5 平行线的性质
- 7.6 图形的平移
- 第八章 整式乘法
- 8.1 同底数幂的乘法
- 8.2 幂的乘方与积的乘方
- 8.3 同底数幂的除法
- 8.4 整式的乘法
- 8.5 乘法公式
- 第九章 三角形
- 9.1 三角形的边
- 9.2 三角形的内角
- 9.3 三角形的角平分线、中线和高
- 第十章 一元一次不等式和一元一次不等式组
- 10.1 不等式
- 10.2 不等式的基本性质
- 10.3 解一元一次不等式
- 10.4 一元一次不等式的应用
- 10.5 一元一次不等式组
- 第十一章 因式分解
- 11.1 因式分解
- 11.2 提公因式法
- 11.3 公式法