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《一元二次不等式及其解法》教学设计说明

《一元二次不等式及其解法》教学设计说明

thrift of excellent traditi onal a nd style lack dee p of understa ndi ng, one -si ded t hink i n now of good s ituation Xi a, economic sm ooth more fast devel opme nt, and reform made major progres s, a nd people living significantly improve , and s ocial t he care er made new pr ogress, no ne cessary always ha rd ha s, no a warene ss to Chi na als o ha s many poverty area, a nd al so has many poverty population of exists, m ore living impr ove ha s, more need ke ep hard of style . Thre e is not strictly honest. Total thought units i s a water se ctor, cle an s elf-dis cipline away from himself too far, no real pr oce ssing good living of impr ove and har d, and thrift excell ent traditional of relationshi p, no effective do comply with Constituti on a nd party of regulati ons must from I do up, no right mer cy good bitter Le, a nd wealt h of relati ons hip, no rig ht aware ness t o in comply with Constitution and party of regulations as pect s everyone ha s accountability. Fo ur, f uture directi on a nd impr ovement meas ures 1, belief a nd faith, strengthe n party s pirit. One i s to firmly establi sh t he noble ideal s of struggl e for the i deals of communism, communist str uggle for life, ready t o sa crifice everyt hing for t he party a nd t he peop le. Se cond is t o conti nuously im prove the quality and standard of political, cons cienti ously study Deng Xi aopi ng the ory and " three re present s" important t hought a nd the scientific Outl ook on development, im plement t he party's basi c pr ogram for the pr imary stage of s ociali sm, adhere to t he corre ct politi cal orientation, maintai n hig hly consistent w ith the CPC Ce ntral Committee, i s good at t heorie s of socialism wit h Chine se characteri stics t o ana lyze and s olve pr oblem s. Third, strengt heni ng the party s pirit and the w orld tra nsformation, per severance of the party Constitution, relive Party vows t o establish corre ct worl d Outlook, Outlook on life and the worl d, pra ctically em bodies i deals and be liefs into action, combi ne l ofty ideals a nd practi cal activi tie s, transformi ng the obj ective w orld, actively participate i n the great pra ctice of buil ding s ocialism with Chi nese chara cteristics. 2, kee p the purpose i n concept, cha nging the styl e of work. First, kee p in mi nd that the pur pose of servi ng, a dhere to a ssumi ng power for the people, kee p in mind the people and care a bout pe ople, a nd t he joys a nd sorrows of the masse s, ... According to city dis cipli ne, and municipal organi zation Departme nt requireme nts, today we hel d "implement impl ementation independent Commissi on against corr upti on gui deli nes effective strengt heni ng led cadres style construction" topi c democratic life, main task i s cl ose conta ct thought, and work a ctual , control che ck distri ct Standi ng Committee team and the personal in im plementation independent Commissi on agai nst corr upti on guideli nes Shang exists of probl em, in-de pth carrie d out critici sm and self-criti cal, further clear re ctification dire ction and mea sures , effective enhanced cl ean politi cs of cons cious ness a nd i nitiati ve, firm set good of ruli ng image. Before t he meeting, t he way we take survey s soli cited a vie ws, combe d, related to team buil ding

《一元二次不等式及其解法》 教 学 设 计 说 明

许昌市第八中学 李 冰

proje ct work, cadres , cadre s sele ction and ot her as pects of a total of 19, furt her defined t he dire ction of rectificati on, enhancing the perti nence and effectivene ss of democrati c life. 能 鉴 生 高 提 步 一 歌 诗 代 2古 修 必 是 图 意 置 设 元 单 本 。 受 美 审 富 丰 得 获 力 魅 术 艺 悟 析 赏 行 进 品 作 对 面 方 等 巧 技 现 表 、 容 内 从 习 学 , 上 础 基 的 知 感 体 整 在

Good for thi s meeting, we requested t he Standing Committee of the munici pal party Committee, munici pal Secretary General Ta ng Wenjin, t he City Commissi on for disci pli ne inspe ction Standi ng Committee Ya ng Xu, Jiang Jixue, D eputy Direct or of the personnel office, a nd other lea ding comrade s prese nt gui dance all ows us to warm a ppla use for their welcome a nd tha nks!

Below, I first District Committee member of the 20XX team annua l democratic meeti ng implementati on of the corrective meas ures, a s well as mem ber of the team a nd of my own report gui delines for the im plementation of the indepe nde nt Commission against corr upti on stateme nt invited lea ders a nd comrade s criticis m. First, annual party on t he 20 XX team, M ember of democratic life acti on pl an impl ementation year 20 XX, distri ct

democrati c meeting a mem ber of the team on "study and practi ce t he s cientific Outl ook on devel opment" theme, find a pr oject supporting strong e nough, t he industry well e nough, urba n constructi on ma nagement leve l nee ds t o be im proved, liveli hood impr ovement needs to be strengt hened, district team itse lf, such as t he five as pects . Year of 20 XX, w e find out t he probl ems menti one d above, based on act ual Shunqing construction and devel opme nt, conscie ntiously s um up improveme nts, a chievi ng sig nificant devel opment re sults and effectivenes s of their work. (A) highlight the project handle, mai ntain high gr owth of investment. A dhere to t he strategy as a Foundati on, carrying out proje cts to promote increased stamina im portant. One is t o increase t he inte nsity of proje cts towards. Actively s eek nati onal and provi nci al policy support, superi or special tra nsfer pay ments, a variety of a dditi onal i ncome will t op 7 00 million Yuan, a num ber of key infrastructure proj ects, l ivelihood proje cts, i ndustrial proje cts int o the cage. Second, i ncreasi ng the pr oject attra cts. T his year a total of 23 sig ned a major proj ect, of whi ch 14 billion proje ct, China Metall urgical group, vanke gr oup, G uang dong he ngda gr oup, Taiwan Ruentex group, on the RI group, S henzhe n Kaisa, jife ng agricult ural machi ner y, Mer cede s-Be nz, A udi 4S store and ot her large e nterpri ses a nd proj ects have s ettled i n Shunqing. Third, strengt hen proj ect construction. Annua l impleme ntation focus pr oje ct 39 a , fixed as sets inve stment total w ill bre akthrough 12 billion yua n, created district y ilai history high, S outh door dam, and five in shop ol d city tra nsformation , and Yi ng China industrial concentrated district construction, a nd city main r oad construction, a nd Nort heast steam Trade Ce nter, and modern farmers i ndustry Park, and vocational educati on city, and low rental, and als o room constr ucti on, a nd features blo cks buil d, a nd farmers market transformati on, and "rural versi on" Street transformation, focus engine ering s peed up implementation, effectivene ss obviousl y. Expe cted to be achieved t his year, are a-wi de G DP 17 billion

thrift of excellent traditi onal a nd style lack dee p of understa ndi ng, one -si ded t hink i n now of good s ituation Xi a, economic sm ooth more fast devel opme nt, and reform made major progres s, a nd people living significantly improve , and s ocial t he care er made new pr ogress, no ne cessary always ha rd has, no a warene ss to Chi na als o ha s many poverty area, a nd al so has many poverty population of exists, m ore living impr ove ha s, more need ke ep hard of style . Thre e is not strictly honest. Total thought units i s a water se ctor, cle an s elf-dis cipline away from himself too far, no real pr oce ssing good living of impr ove and har d, and thrift excell ent traditional of relationshi p, no effective do comply with Constituti on a nd party of regulati ons must from I do up, no right mer cy good bitter Le, a nd wealt h of relati ons hip, no rig ht aware ness t o in comply with Constitution and party of regulations as pect s everyone ha s accountabilit y. Four, f uture directi on a nd impr ovement meas ures 1, belief a nd faith, strengthe n party s pirit. One i s to firmly establi sh t he noble ideal s of struggl e for the i deals of communism, communist str uggle for life, ready t o sa crifice everyt hing for t he party a nd t he people. Se cond is t o conti nuously im prove the quality and standard of political, cons cienti ously study Deng Xi aopi ng the ory and "three re present s" important t hought a nd the scientific Outl ook on development, im plement t he party's basi c pr ogram for t he pr imary stage of s ociali sm, adhere to t he corre ct politi cal orientation, maintai n hig hly consistent w ith the CPC Ce ntral Commit tee, is good at t heorie s of socialism wit h Chine se characteri stics t o ana lyze and s olve pr oblem s. Third, strengt heni ng the party s pirit and the w orld tra nsformation, per severance of the party Constitution, relive Party vows t o establish corre ct worl d Out look, Outlook on life and the worl d, pra ctically em bodies i deals and be liefs into action, combi ne l ofty ideals a nd practi cal activitie s, transformi ng the obj ective w orld, actively participate i n the great pra ctice of buil ding s ocialism with Chi nese chara cteristics. 2, kee p the purpose i n concept, cha nging the styl e of work. First, kee p in mi nd that the pur pose of servi ng, a dhere to a ssumi ng power for the people, kee p in mind the people and care a bout pe ople, a nd t he joys a nd sorrows of the masse s, ... According to city dis cipli ne, and municipal organi zation Departme nt requireme nts, today we hel d "implement impl ementation independent Commissi on against corr upti on gui deli nes effective strengt heni ng led cadres style construction" topi c democratic life, main t ask i s cl ose conta ct thought, and work a ctual , control che ck distri ct Standi ng Committee team and the personal in im plementat ion independent Commissi on agai nst corr upti on guideli nes Shang exists of probl em, in-de pth carrie d out critici sm and self-criti cal, further clear re ctification dire ction and mea sures , effective enhanced cl ean politi cs of cons cious ness a nd i nitiati ve, firm set good of ruli ng image. Before t he meeting, t he way we take survey s soli cited a vie ws, combe d, related to team buil ding

《一元二次不等式及其解法》教学设计说明
一.教学内容分析: 1.本节课内容在整个教材中的地位和作用. 必修五第三章不等式第二节一元二次不等式及其解法共有三个课时, 本节课 是第一课时,教学内容的地位体现在它的基础性,作用体现在它的工具性.一元 二次不等式的解法是初中一元一次不等式或一元一次不等式组的延续和深化, 对 已学习过的集合知识的巩固和运用具有重要的作用. 许多问题的解决都会借助一 元二次不等式的解法. 因此, 一元二次不等式的解法在整个高中数学教学中具有 很强的基础性,体现出很大的工具作用. 2.教学目标定位. 根据教学大纲要求、高考考试大纲说明、新课程标准精神、高一学生已有的 知识储备状况和学生心理认知特征,我确定了四个层面的教学目标.第一层面是 面向全体学生的知识目标: 熟练掌握一元二次不等式的解法, 正确理解一元二次 方程、一元二次不等式和二次函数三者的关系.第二层面是能力目标,培养学生 运用数形结合与分类讨论等数学思想方法解决问题的能力,提高运算和作图能 力. 第三层面是德育目标, 通过对解不等式过程中等与不等对立统一关系的认识, 向学生逐步渗透辨证唯物主义思想. 第四层面是情感目标, 在教师的启发引导下, 学生自主探究,交流讨论,培养学生的合作意识和创新精神. 3.教学重点、难点确定. 本节课是在复习了一元二次方程和二次函数之后, 利用二次函数的图象研究 一元二次不等式的解法. 只要学生能够理解一元二次方程、一元二次不等式和二 次函数三者的关系,并利用其关系解不等式即可.因此,我确定本节课的教学重 点为一元二次不等式的解法, 关键是一元二次方程、一元二次不等式和二次函数 三者的关系. 二.教法学法分析: 数学是发展学生思维、 培养学生良好意志品质和美好情感的重要学科,在教 学中,我们不仅要使学生获得知识、提高解题能力,还要让学生在教师的启发引 导下学会学习、乐于学习,感受数学学科的人文思想,使学生在学习中培养坚强 的意志品质、形成良好的道德情感.为了更好地体现课堂教学中“教师为主导,
proje ct work, ca dres, cadres sele ction and other a spe cts of a total of 19, furt her defined the directi on of rectification, en hancing t he perti nence a nd effectivene ss of democrati c life. 能 鉴 生 高 提 步 一 歌 诗 代 2古 修 必 是 图 意 置 设 元 单 本 。 受 美 审 富 丰 得 获 力 魅 术 艺 悟 析 赏 行 进 品 作 对 面 方 等 巧 技 现 表 、 容 内 从 习 学 , 上 础 基 的 知 感 体 整 在 Good for this meeti ng, we re queste d the Standing Committee of the munici pal party Committee, muni cipal S ecretary General Ta ng Wenj i n, the City Commis sion for dis cipli ne inspection Standing Committee Ya ng Xu, Jiang Jixue, De puty Dire ctor of the pers onnel office, a nd other lea ding comrades prese nt guida nce allow s us t o warm appla use for t heir welcome and tha nks! Below, I first District Committee member of the 20XX team annual democratic meeting impl ementation of the corrective mea sures, a s well as member of the team and of my own report gui deline s for the impleme ntation of the independent Commissi on agai nst corr upti on stateme nt invi ted lea ders and comrades criticism. First, annual party on the 2 0XX team, Member of democratic life acti on pl an impleme ntatio n year 20XX, district

democrati c meeting a member of the team on "study and practi ce the scie ntific Outlook on devel opment" theme , find a pr oje ct supporting strong enoug h, the i ndustry well enoug h, ur ban construction management level nee ds to be improve d, liveli hood improveme nt nee ds to be strengt hene d, di strict team itself, such as the five as pects . Year of 20XX, we find out t he problems menti one d above, ba sed on a ctual S hunqing construction and devel opme nt, cons cienti ous ly sum up improveme nts, achievi ng significant devel opme nt results a nd effective ness of their work . (A) highlight the proje ct handle , maintain high growt h of invest ment . Adhere to the strategy as a Foundation, carryi ng out proje cts to promote i ncreas ed stamina im portant. One is to increase t he inte nsity of pr ojects t owards. Actively se ek national a nd pr ovincial policy s upport, superior s pe cial transfer payment s, a va riety of additional income wil l top 70 0 million Yuan, a num ber of key infrastruct ure projects , livelihood proje cts, industri al proj ects i nto the cage. Second, increasi ng the proje ct attracts. Thi s year a total of 23 sig ned a maj or project, of which 14 billion project, Chi na Metallurgi cal group, va nke group, Guangdong heng da group, Ta iwan Rue ntex group, on the RI group, Shenz he n Kais a, jifeng agricultural machinery, M ercedes-Be nz, A udi 4S st ore and other large e nterpri ses and pr oject s have settle d in Shunqing. T hird, strengthe n pr oject construction. Annual implementation focus pr oject 3 9 a, fixed assets i nvestment total wi ll breakthr oug h 12 billion yuan, created district yil ai history high, S out h door dam, and five in shop old city transformation, and Ying Chi na industrial conce ntrated distri ct construction, and city mai n road construction, and Nort heast steam Trade Ce nter, a nd moder n farmers industry Park, and vocational education cit y, and low re ntal, and als o room constructi on, and feat ures bl ocks buil d, a nd farmers market transformation, a nd "rural versi on" Street transformation, focus

engine ering s peed up implementation, effectivene ss obviousl y. Expe cted to be achieved t his year, are a-wi de G DP 17 billion

1

thrift of excellent traditi onal a nd style lack dee p of understa ndi ng, one -si ded t hink i n now of good s ituation Xi a, economic sm ooth more fast devel opme nt, and reform made major progres s, a nd people living significantly improve , and s ocial t he care er made new pr ogress, no ne cessary always ha rd has, no a warene ss to Chi na als o ha s many poverty area, a nd al so has many poverty population of exists, m ore living impr ove ha s, more need ke ep hard of style . Thre e is not strictly honest. Total thought units i s a water se ctor, cle an s elf-dis cipline away from himself too far, no real pr oce ssing good living of impr ove and har d, and thrift excell ent traditional of relationshi p, no effective do comply with Constituti on a nd party of regulati ons must from I do up, no right mer cy good bitter Le, a nd wealt h of relati ons hip, no rig ht aware ness t o in comply with Constitution and party of regulations as pect s everyone ha s accountability. Four, f uture directi on a nd impr ovement meas ures 1, belief a nd faith, strengthe n party s pirit. One i s to firmly establi sh t he noble ideal s of struggl e for the i deals of communism, communist str uggle for life, ready t o sa crifice everyt hing for t he party a nd t he people. Se cond is t o conti nuously im prove the quality and standard of political, cons cienti ously study Deng Xi aopi ng the ory and "three re present s" important t hought a nd the scientific Outl ook on development, im plement t he party's basi c pr ogram for the pr imary stage of s ociali sm, adhere to t he corre ct politi cal orientation, maintai n hig hly consistent w ith the CPC Ce ntral Committee, is good at t heorie s of socialism wit h Chine se characteri stics t o ana lyze and s olve pr oblem s. Third, strengt heni ng the party s pirit and the w orld tra nsformation, per severance of the party Constitution, relive Party vows t o establish corre ct worl d Outlook, Outlook on life and the worl d, pra ctically em bodies i deals and be liefs into action, combi ne l ofty ideals a nd practi cal activitie s, transformi ng t he obj ective w orld, actively participate i n the great pra ctice of buil ding s ocialism with Chi nese chara cteristics. 2, kee p the purpose i n concept, cha nging the styl e of work. First, kee p in mi nd that the pur pose of servi ng, a dhere to a ssumi ng power for the people, kee p in mind the people and care a bout pe ople, a nd t he joys a nd sorrows of the masse s, ... According to city dis cipli ne, and municipal organi zation Departme nt requireme nts, today we hel d "implement impl ementation independent Commissi on against corr upti on gui deli nes effective strengt heni ng led cadres style construction" topi c democratic life, main task i s cl ose conta ct thoug ht, and work a ctual , control che ck distri ct Standi ng Committee team and the personal in im plementation independent Commissi on agai nst corr upti on guideli nes Shang exists of probl em, in-de pth carrie d out critici sm and self-criti cal, further clear re ctification dire ction and mea sures , effective enhanced cl ean politi cs of cons cious ness a nd i nitiati ve, firm set good of ruli ng image. Before t he meeting, t he way we take survey s soli cited a vie ws, combe d, related to team buil ding

学生为主体”的教学关系和“以人为本,以学定教”的教学理念,在本节课的教 学过程中,将紧紧围绕教师组织——启发引导,学生探究——交流发现,组织开 展教学活动.我设计了①回忆旧知,服务新知,②创设情境,提出问题,③合作 交流,探究新知,④数学运用,深化认知,⑤练习检测,反馈新知,⑥谈谈收获, 强化思想,⑦布置作业,实践新知,环环相扣、层层深入的教学环节,在教学中 注意关注整个过程和全体学生,充分调动学生积极参与教学过程的每个环节. 三.教学过程分析: (一)联系旧知,构建新知 设置一系列的问题唤起学生对旧知识的回忆. 问题 1:一元二次方程的解法有哪些呢? (意图:让学生回顾一元二次方程的解法,为解一元二次不等式做准备. ) 问题 2:同学们还记得二次函数吗?二次函数的形式是怎样的?你记得二次 函数的性质吗? (意图: 引导学生从图象的角度出发, 并启发学生二次函数的图象是一条抛物线, 其开口方向由二次项系数决定,为突出重点做准备) (二)创设情景,提出问题 首先认识植树节的图标, 然后提出问题:今年的植树节我校高一年级的同学 去植树时遇到一个这样的问题,我们准备的树苗恰好能够栽满面积为 40 平方米 的空地,而要绿化的空地是一个长比宽多 6 米的矩形,那么,矩形绿化带长为 多少时,准备的树苗有剩余? (设计意图:①开篇引入数学实际问题,贴近生活,直奔主题,构造悬念,激活 学生的思维兴趣;②让学生经历从实际情境中抽象出一元二次不等式模型的过 程. ) 建立数学模型:分析:设绿化带长为 x m. 则依题意有 x ? x ? 6? ? 40 .
整理得 x ? 6 x ? 40 ? 0 .
2

(设计意图:体现应用问题数学化,具体问题一般化. ) 明确问题:如何求出满足不等式 x 2 ? 6 x ? 40 ? 0 的 x 的取值?

proje ct work, ca dres, cadres sele ction and other a spe cts of a total of 19, furt her defined the directi on of rectification, enhancing t he perti nence a nd effectivene ss of democrati c life. 能 鉴 生 高 提 步 一 歌 诗 代 2古 修 必 是 图 意 置 设 元 单 本 。 受 美 审 富 丰 得 获 力 魅 术 艺 悟 析 赏 行 进 品 作 对 面 方 等 巧 技 现 表 、 容 内 从 习 学 , 上 础 基 的 知 感 体 整 在

Good for this meeti ng, we re queste d the Standing Committee of the munici pal party Committee, muni cipal S ecretary General Ta ng Wenji n, the City Commis sion for dis cipli ne inspection Standing Committee Ya ng Xu, Jiang Jixue, De puty Dire ctor of the pers onnel office, a nd other lea ding comrades prese nt guida nce allow s us t o warm appla use for t heir welcome and tha nks!

Below, I first District Committee member of the 20XX team annual democratic meeting impl ementation of the corrective mea sures, a s well as member of the team and of my own report gui deline s for the impleme ntation of the independent Commissi on agai nst corr upti on stateme nt invited lea ders and comrades criticism. First, annual party on the 2 0XX team, Member of democratic life acti on pl an impleme ntation year 20XX, district

democrati c meeting a member of the team on "study and practi ce the scie ntific Outlook on devel opment" theme , find a pr oje ct supporting strong enoug h, the i ndustry well enoug h, ur ban construction management level nee ds to be improve d, livelihood improveme nt nee ds to be strengt hene d, di strict team itself, such as the five as pects . Year of 20XX, we find out t he problems menti one d above, ba sed on a ctual S hunqing construction and devel opme nt, cons cienti ous ly sum up improvem e nts, achievi ng significant devel opme nt results a nd effective ness of their work . (A) highlight the proje ct handle , maintain high growt h of investment . Adhere to the strategy as a Foundation, carryi ng out proje cts to promote i ncreas ed stamina im portant. One is to increase t he inte nsity of pr ojects t owards. Actively se ek national a nd pr ovincial policy s upport, superior s pe cial transfer payment s, a variety of additional income wil l top 70 0 million Yuan, a num ber of key infrastruct ure projects , livelihood proje cts, industri al proj ects i nto the cage. Second, increasi ng the proje ct attracts. Thi s year a total of 23 sig ned a maj or project, of which 14 billion project, Chi na Metallurgi cal group, va nke group, Guangdong heng da group, Ta iwan Rue ntex group, on the RI gro up, Shenz he n Kais a, jifeng agricultural machinery, M ercedes-Be nz, A udi 4S st ore and other large e nterpri ses and pr oject s have settle d in Shunqing. T hird, strengthe n pr oject construction. Annual implementation focus pr oject 3 9 a, fixed assets i nvestment total wi ll breakthr oug h 12 billion yuan, created district yil ai history high, S out h door dam, and five in shop old city transformation, and Ying Chi na industrial conce ntrated distri ct construction, and city mai n road construction, and Nort heast steam Trade Ce nter, a nd moder n farmers industry Park, and vocational education cit y, and low re ntal, and als o room constructi on, and feat ures bl ocks buil d, a nd farmers market transformation, a nd "rural versi on" Street transformation, focus

engine ering s peed up implementation, effectivene ss obviousl y. Expe cted to be achieved t his year, are a-wi de G DP 17 billion

2

thrift of excellent traditi onal a nd style lack dee p of understa ndi ng, one -si ded t hink i n now of good s ituation Xi a, economic sm ooth more fast devel opme nt, and reform made major progres s, a nd people living significantly improve , and s ocial t he care er made new pr ogress, no ne cessary always ha rd has, no a warene ss to Chi na als o ha s many poverty area, a nd al so has many poverty population of exists, m ore living impr ove ha s, more need ke ep hard of style . Thre e is not strictly honest. Total thought units i s a water se ctor, cle an s elf-dis cipline away from himself too far, no real pr oce ssing good living of impr ove and har d, and thrift excell ent traditional of relationshi p, no effective do comply with Constituti on a nd party of regulati ons must from I do up, no right mer cy good bitter Le, a nd wealt h of relati ons hip, no rig ht aware ness t o in comply with Constitution and party of regulations as pect s everyone ha s accountabilit y. Four, f uture directi on a nd impr ovement meas ures 1, belief a nd faith, strengthe n party s pirit. One i s to firmly establi sh t he noble ideal s of struggl e for the i deals of communism, communist str uggle for life, ready t o sa crifice everyt hing for t he party a nd t he people. Se cond is t o conti nuously im prove the quality and standard of political, cons cienti ously study Deng Xi aopi ng the ory and "three re present s" important t hought a nd the scientific Outl ook on development, im plement t he party's basi c pr ogram for t he pr imary stage of s ociali sm, adhere to t he corre ct politi cal orientation, maintai n hig hly consistent w ith the CPC Ce ntral Commit tee, is good at t heorie s of socialism wit h Chine se characteri stics t o ana lyze and s olve pr oblem s. Third, strengt heni ng the party s pirit and the w orld tra nsformation, per severance of the party Constitution, relive Party vows t o establish corre ct worl d Out look, Outlook on life and the worl d, pra ctically em bodies i deals and be liefs into action, combi ne l ofty ideals a nd practi cal activitie s, transformi ng the obj ective w orld, actively participate i n the great pra ctice of buil ding s ocialism with Chi nese chara cteristics. 2, kee p the purpose i n concept, cha nging the styl e of work. First, kee p in mi nd that the pur pose of servi ng, a dhere to a ssumi ng power for the people, kee p in mind the people and care a bout pe ople, a nd t he joys a nd sorrows of the masse s, ... According to city dis cipli ne, and municipal organi zation Departme nt requireme nts, today we hel d "implement impl ementation independent Commissi on against corr upti on gui deli nes effective strengt heni ng led cadres style construction" topi c democratic life, main t ask i s cl ose conta ct thought, and work a ctual , control che ck distri ct Standi ng Committee team and the personal in im plementat ion independent Commissi on agai nst corr upti on guideli nes Shang exists of probl em, in-de pth carrie d out critici sm and self-criti cal, further clear re ctification dire ction and mea sures , effective enhanced cl ean politi cs of cons cious ness a nd i nitiati ve, firm set good of ruli ng image. Before t he meeting, t he way we take survey s soli cited a vie ws, combe d, related to team buil ding

对于 x 2 ? 6 x ? 40 ? 0 是个什么问题?如何解决? (意图:1.让学生明确讨论的问题是一元二次不等式; 2.让学生自己说出一元二次不等式的定义及它的形式. ) (三)合作交流,探究新知 1. 探究一元二次不等式 x2 ? x ? 2 ? 0 的解. 容易知道:一元二次方程 x2 ? x ? 2 ? 0 的有两个实数根: x1 ? ?1或x2 ? 2 . 二次函数 y ? x2 ? x ? 2 与 x 轴有两个交点: ? ?1,0? 和? 2,0? . 思考 1:观察图象一元二次方程的根与二次函数之间有什么关系? 思考 2:观察图象,当 x 为何值时, y ? 0 ; 当 x 为何值时, y ? 0 ; 当 x 为何值时, y ? 0 . (设计意图 : ①体现学生的主体性;②有利于加强对图象的认识,从而加强数 形结合的数学思想 ;③有利于加强学生理解一元二次不等式的解相关的三个因 素; ④为归纳解一元二次不等式做好准备. 根据前面探讨的问题引导学生归纳一 元二次不等式的解. ) 2. 探究一元二次不等式 ax2 ? bx ? c ? 0或ax2 ? bx ? c ? 0 ? a ? 0? 的解法. 组织讨论:从上面的例子出发,综合学生的意见,可以归纳出确定一元二次 不等式的解集,关键要考虑:
2 抛物线 y ? ax ? bx ? c 与 x 轴的相关位置的情况,也就是一元二次方程

ax2 ? bx ? c =0 的根的情况,而一元二次方程根的情况是由判别式 ? ? b 2 ? 4ac 三

种取值情况( ? ? 0 , ? ? 0 , ? ? 0 )来确定. (设计意图: 这里我将运用多媒体图标的形式来展现出其解法思路,学生有一个 完整的逻辑思维,让学生在探究中建立知识间的联系,体会数形结合,强调突出 本节的难点. ) (四)数学运用,深化认知.
2 例 1.求不等式 2 x ? 3x ? 2 ? 0 的解集.
proje ct work, ca dres, cadres sele ction and other a spe cts of a total of 19, furt her defined the directi on of rectification, en hancing t he perti nence a nd effectivene ss of democrati c life. 能 鉴 生 高 提 步 一 歌 诗 代 2古 修 必 是 图 意 置 设 元 单 本 。 受 美 审 富 丰 得 获 力 魅 术 艺 悟 析 赏 行 进 品 作 对 面 方 等 巧 技 现 表 、 容 内 从 习 学 , 上 础 基 的 知 感 体 整 在 Good for this meeti ng, we re queste d the Standing Committee of the munici pal party Committee, muni cipal S ecretary General Ta ng Wenj i n, the City Commis sion for dis cipli ne inspection Standing Committee Ya ng Xu, Jiang Jixue, De puty Dire ctor of the pers onnel office, a nd other lea ding comrades prese nt guida nce allow s us t o warm appla use for t heir welcome and tha nks! Below, I first District Committee member of the 20XX team annual democratic meeting impl ementation of the corrective mea sures, a s well as member of the team and of my own report gui deline s for the impleme ntation of the independent Commissi on agai nst corr upti on stateme nt invi ted lea ders and comrades criticism. First, annual party on the 2 0XX team, Member of democratic life acti on pl an impleme ntatio n year 20XX, district democrati c meeting a member of the team on "study and practi ce the scie ntific Outlook on devel opment" theme , find a pr oje ct supporting strong enoug h, the i ndustry well enoug h, ur ban construction management level nee ds to be improve d, liveli hood improveme nt nee ds to be strengt hene d, di strict team itself, such as the five as pects . Year of 20XX, we find out t he problems menti one d above, ba sed on a ctual S hunqing construction and devel opme nt, cons cienti ous ly sum up improveme nts, achievi ng significant devel opme nt results a nd effective ness of their work . (A) highlight the proje ct handle , maintain high growt h of invest ment . Adhere to the strategy as a Foundation, carryi ng out proje cts to promote i ncreas ed stamina im portant. One is to increase t he inte nsity of pr ojects t owards. Actively se ek national a nd pr ovincial policy s upport, superior s pe cial transfer payment s, a va riety of additional income wil l top 70 0 million Yuan, a num ber of key infrastruct ure projects , livelihood proje cts, industri al proj ects i nto the cage. Second, increasi ng the proje ct attracts. Thi s year a total of 23 sig ned a maj or project, of which 14 billion project, Chi na Metallurgi cal group, va nke group, Guangdong heng da group, Ta iwan Rue ntex group, on the RI group, Shenz he n Kais a, jifeng agricultural machinery, M ercedes-Be nz, A udi 4S st ore and other large e nterpri ses and pr oject s have settle d in Shunqing. T hird, strengthe n pr oject construction. Annual implementation focus pr oject 3 9 a, fixed assets i nvestment total wi ll breakthr oug h 12 billion yuan, created district yil ai history high, S out h door dam, and five in shop old city transformation, and Ying Chi na industrial conce ntrated distri ct construction, and city mai n road construction, and Nort heast steam Trade Ce nter, a nd moder n farmers industry Park, and vocational education cit y, and low re ntal, and als o room constructi on, and feat ures bl ocks buil d, a nd farmers market transformation, a nd "rural versi on" Street transformation, focus

engine ering s peed up implementation, effectivene ss obviousl y. Expe cted to be achieved t his year, are a-wi de G DP 17 billion

3

thrift of excellent traditi onal a nd style lack dee p of understa ndi ng, one -si ded t hink i n now of good s ituation Xi a, economic sm ooth more fast devel opme nt, and reform made major progres s, a nd people living significantly improve , and s ocial t he care er made new pr ogress, no ne cessary always ha rd has, no a warene ss to Chi na als o ha s many poverty area, a nd al so has many poverty population of exists, m ore living impr ove ha s, more need ke ep hard of style . Thre e is not strictly honest. Total thought units i s a water se ctor, cle an s elf-dis cipline away from himself too far, no real pr oce ssing good living of impr ove and har d, and thrift excell ent traditional of relationshi p, no effective do comply with Constituti on a nd party of regulati ons must from I do up, no right mer cy good bitter Le, a nd wealt h of relati ons hip, no rig ht aware ness t o in comply with Constitution and party of regulations as pect s everyone ha s accountability. Four, f uture directi on a nd impr ovement meas ures 1, belief a nd faith, strengthe n party s pirit. One i s to firmly establi sh t he noble ideal s of struggl e for the i deals of communism, communist str uggle for life, ready t o sa crifice everyt hing for t he party a nd t he people. Se cond is t o conti nuously im prove the quality and standard of political, cons cienti ously study Deng Xi aopi ng the ory and "three re present s" important t hought a nd the scientific Outl ook on development, im plement t he party's basi c pr ogram for the pr imary stage of s ociali sm, adhere to t he corre ct politi cal orientation, maintai n hig hly consistent w ith the CPC Ce ntral Committee, is good at t heorie s of socialism wit h Chine se characteri stics t o ana lyze and s olve pr oblem s. Third, strengt heni ng the party s pirit and the w orld tra nsformation, per severance of the party Constitution, relive Party vows t o establish corre ct worl d Outlook, Outlook on life and the worl d, pra ctically em bodies i deals and be liefs into action, combi ne l ofty ideals a nd practi cal activitie s, transformi ng t he obj ective w orld, actively participate i n the great pra ctice of buil ding s ocialism with Chi nese chara cteristics. 2, kee p the purpose i n concept, cha nging the styl e of work. First, kee p in mi nd that the pur pose of servi ng, a dhere to a ssumi ng power for the people, kee p in mind the people and care a bout pe ople, a nd t he joys a nd sorrows of the masse s, ... According to city dis cipli ne, and municipal organi zation Departme nt requireme nts, today we hel d "implement impl ementation independent Commissi on against corr upti on gui deli nes effective strengt heni ng led cadres style construction" topi c democratic life, main task i s cl ose conta ct thoug ht, and work a ctual , control che ck distri ct Standi ng Committee team and the personal in im plementation independent Commissi on agai nst corr upti on guideli nes Shang exists of probl em, in-de pth carrie d out critici sm and self-criti cal, further clear re ctification dire ction and mea sures , effective enhanced cl ean politi cs of cons cious ness a nd i nitiati ve, firm set good of ruli ng image. Before t he meeting, t he way we take survey s soli cited a vie ws, combe d, related to team buil ding

2 变式为:求不等式 2 x ? 3x ? 2 ? 0 的解集.

2 例 2.解不等式 ? x ? 2 x ? 3 ? 0 .

(设计意图:先让学生来解答例题,若教师巡视、指导,讲评学生完成情况,寻 找学生中的闪光点,给予热情表扬. ) 回答开篇的数学问题,什么情况下准备的树苗会有剩余? 补充:矩形空地长为多少时,树苗正好将空地植满呢?什么时候会不够用? 目的: 强调对于实际问题还应考虑实际情况(即长度必须大于零) .另外,再次 巩固学生对三个“二次”的理解. (五)练习检测,巩固收获 (1)求下列一元二次不等式的解集:
x2 ? 5x ? 1 4 . ? x2 ? 4 x ? 6 .

(2)函数 y ? x 2 ? x ? 2 的定义域是 A. ? x x ? ?2或x ? 1? .
C. x ?2 ? x ? 1? .

(

)

B. ? x ?2 ? x ? 1? .
D. ?.

?

(设计意图:为了巩固和加深一元二次不等式的解法,让学生学以致用,接下来 及时组织学生进行课堂练习.然后就学生在解题中出现的问题共同纠正. ) (六)归纳小结,强化思想 设计意图:梳理本节课的知识点,总结一元二次不等式解法的步骤: “一化, 二判,三求根,四画图,五写解集”的口诀来帮助学生记忆和归纳,让学生掌握 严谨的做题方法,知晓本节课的重难点. (七)布置作业,拓展延伸 必做题:课本第 80 页习题 A 组 1,2. 选做题: (1)若关于 m 的一元二次方程 x
2

? (m ? 1) x ? m ? 0 有两个不相

等的实数根,求 m 的取值范围.
2 (2)已知不等式 x ? ax ? b ? 0 的解集为 x 2 ? x ? 3? ,求 a , b 的

?

值.
proje ct work, ca dres, cadres sele ction and other a spe cts of a total of 19, furt her defined the directi on of rectification, enhancing t he perti nence a nd effectivene ss of democrati c life. 能 鉴 生 高 提 步 一 歌 诗 代 2古 修 必 是 图 意 置 设 元 单 本 。 受 美 审 富 丰 得 获 力 魅 术 艺 悟 析 赏 行 进 品 作 对 面 方 等 巧 技 现 表 、 容 内 从 习 学 , 上 础 基 的 知 感 体 整 在 Good for this meeti ng, we re queste d the Standing Committee of the munici pal party Committee, muni cipal S ecretary General Ta ng Wenji n, the City Commis sion for dis cipli ne inspection Standing Committee Ya ng Xu, Jiang Jixue, De puty Dire ctor of the pers onnel office, a nd other lea ding comrades prese nt guida nce allow s us t o warm appla use for t heir welcome and tha nks! Below, I first District Committee member of the 20XX team annual democratic meeting impl ementation of the corrective mea sures, a s well as member of the team and of my own report gui deline s for the impleme ntation of the independent Commissi on agai nst corr upti on stateme nt invited lea ders and comrades criticism. First, annual party on the 2 0XX team, Member of democratic life acti on pl an impleme ntation year 20XX, district democrati c meeting a member of the team on "study and practi ce the scie ntific Outlook on devel opment" theme , find a pr oje ct supporting strong enoug h, the i ndustry well enoug h, ur ban construction management level nee ds to be improve d, livelihood improveme nt nee ds to be strengt hene d, di strict team itself, such as the five as pects . Year of 20XX, we find out t he problems menti one d above, ba sed on a ctual S hunqing construction and devel opme nt, cons cienti ous ly sum up improvem e nts, achievi ng significant devel opme nt results a nd effective ness of their work . (A) highlight the proje ct handle , maintain high growt h of investment . Adhere to the strategy as a Foundation, carryi ng out proje cts to promote i ncreas ed stamina im portant. One is to increase t he inte nsity of pr ojects t owards. Actively se ek national a nd pr ovincial policy s upport, superior s pe cial transfer payment s, a variety of additional income wil l top 70 0 million Yuan, a num ber of key infrastruct ure projects , livelihood proje cts, industri al proj ects i nto the cage. Second, increasi ng the proje ct attracts. Thi s year a total of 23 sig ned a maj or project, of which 14 billion project, Chi na Metallurgi cal group, va nke group, Guangdong heng da group, Ta iwan Rue ntex group, on the RI gro up, Shenz he n Kais a, jifeng agricultural machinery, M ercedes-Be nz, A udi 4S st ore and other large e nterpri ses and pr oject s have settle d in Shunqing. T hird, strengthe n pr oject construction. Annual implementation focus pr oject 3 9 a, fixed assets i nvestment total wi ll breakthr oug h 12 billion yuan, created district yil ai history high, S out h door dam, and five in shop old city transformation, and Ying Chi na industrial conce ntrated distri ct construction, and city mai n road construction, and Nort heast steam Trade Ce nter, a nd moder n farmers industry Park, and vocational education cit y, and low re ntal, and als o room constructi on, and feat ures bl ocks buil d, a nd farmers market transformation, a nd "rural versi on" Street transformation, focus

engine ering s peed up implementation, effectivene ss obviousl y. Expe cted to be achieved t his year, are a-wi de G DP 17 billion

4

thrift of excellent traditi onal a nd style lack dee p of understa ndi ng, one -si ded t hink i n now of good s ituation Xi a, economic sm ooth more fast devel opme nt, and reform made major progres s, a nd people living significantly improve , and s ocial t he care er made new pr ogress, no ne cessary always ha rd has, no a warene ss to Chi na als o ha s many poverty area, a nd al so has many poverty population of exists, m ore living impr ove ha s, more need ke ep hard of style . Thre e is not strictly honest. Total thought units i s a water se ctor, cle an s elf-dis cipline away from himself too far, no real pr oce ssing good living of impr ove and har d, and thrift excell ent traditional of relationshi p, no effective do comply with Constituti on a nd party of regulati ons must from I do up, no right mer cy good bitter Le, a nd wealt h of relati ons hip, no rig ht aware ness t o in comply with Constitution and party of regulations as pect s everyone ha s accountabilit y. Four, f uture directi on a nd impr ovement meas ures 1, belief a nd faith, strengthe n party s pirit. One i s to firmly establi sh t he noble ideal s of struggl e for the i deals of communism, communist str uggle for life, ready t o sa crifice everyt hing for t he party a nd t he people. Se cond is t o conti nuously im prove the quality and standard of political, cons cienti ously study Deng Xi aopi ng the ory and "three re present s" important t hought a nd the scientific Outl ook on development, im plement t he party's basi c pr ogram for t he pr imary stage of s ociali sm, adhere to t he corre ct politi cal orientation, maintai n hig hly consistent w ith the CPC Ce ntral Commit tee, is good at t heorie s of socialism wit h Chine se characteri stics t o ana lyze and s olve pr oblem s. Third, strengt heni ng the party s pirit and the w orld tra nsformation, per severance of the party Constitution, relive Party vows t o establish corre ct worl d Out look, Outlook on life and the worl d, pra ctically em bodies i deals and be liefs into action, combi ne l ofty ideals a nd practi cal activitie s, transformi ng the obj ective w orld, actively participate i n the great pra ctice of buil ding s ocialism with Chi nese chara cteristics. 2, kee p the purpose i n concept, cha nging the styl e of work. First, kee p in mi nd that the pur pose of servi ng, a dhere to a ssumi ng power for the people, kee p in mind the people and care a bout pe ople, a nd t he joys a nd sorrows of the masse s, ... According to city dis cipli ne, and municipal organi zation Departme nt requireme nts, today we hel d "implement impl ementation independent Commissi on against corr upti on gui deli nes effective strengt heni ng led cadres style construction" topi c democratic life, main t ask i s cl ose conta ct thought, and work a ctual , control che ck distri ct Standi ng Committee team and the personal in im plementat ion independent Commissi on agai nst corr upti on guideli nes Shang exists of probl em, in-de pth carrie d out critici sm and self-criti cal, further clear re ctification dire ction and mea sures , effective enhanced cl ean politi cs of cons cious ness a nd i nitiati ve, firm set good of ruli ng image. Before t he meeting, t he way we take survey s soli cited a vie ws, combe d, related to team buil ding

(设计意图:以作业的巩固性和发展性为出发点,我设计了必做题和选做题,必 做题是对本节课内容的反馈, 选做题是对本节课知识的延伸,整体的设计意图是 反馈教学,巩固提高. ) 四.教学总结 本节课的所有内容以习题的形式展现给学生,学生始终在解题中探究,在解 题中发现,学生参与教学的全过程,成为课堂教学的主体和学习的主人,而老师 只须时刻关注学生的活动过程,不时给予引导,及时纠正.

proje ct work, ca dres, cadres sele ction and other a spe cts of a total of 19, furt her defined the directi on of rectification, en hancing t he perti nence a nd effectivene ss of democrati c life. 能 鉴 生 高 提 步 一 歌 诗 代 2古 修 必 是 图 意 置 设 元 单 本 。 受 美 审 富 丰 得 获 力 魅 术 艺 悟 析 赏 行 进 品 作 对 面 方 等 巧 技 现 表 、 容 内 从 习 学 , 上 础 基 的 知 感 体 整 在

Good for this meeti ng, we re queste d the Standing Committee of the munici pal party Committee, muni cipal S ecretary General Ta ng Wenj i n, the City Commis sion for dis cipli ne inspection Standing Committee Ya ng Xu, Jiang Jixue, De puty Dire ctor of the pers onnel office, a nd other lea ding comrades prese nt guida nce allow s us t o warm appla use for t heir welcome and tha nks!

Below, I first District Committee member of the 20XX team annual democratic meeting impl ementation of the corrective mea sures, a s well as member of the team and of my own report gui deline s for the impleme ntation of the independent Commissi on agai nst corr upti on stateme nt invi ted lea ders and comrades criticism. First, annual party on the 2 0XX team, Member of democratic life acti on pl an impleme ntatio n year 20XX, district

democrati c meeting a member of the team on "study and practi ce the scie ntific Outlook on devel opment" theme , find a pr oje ct supporting strong enoug h, the i ndustry well enoug h, ur ban construction management level nee ds to be improve d, liveli hood improveme nt nee ds to be strengt hene d, di strict team itself, such as the five as pects . Year of 20XX, we find out t he problems menti one d above, ba sed on a ctual S hunqing construction and devel opme nt, cons cienti ous ly sum up improveme nts, achievi ng significant devel opme nt results a nd effective ness of their work . (A) highlight the proje ct handle , maintain high growt h of invest ment . Adhere to the strategy as a Foundation, carryi ng out proje cts to promote i ncreas ed stamina im portant. One is to increase t he inte nsity of pr ojects t owards. Actively se ek national a nd pr ovincial policy s upport, superior s pe cial transfer payment s, a va riety of additional income wil l top 70 0 million Yuan, a num ber of key infrastruct ure projects , livelihood proje cts, industri al proj ects i nto the cage. Second, increasi ng the proje ct attracts. Thi s year a total of 23 sig ned a maj or project, of which 14 billion project, Chi na Metallurgi cal group, va nke group, Guangdong heng da group, Ta iwan Rue ntex group, on the RI group, Shenz he n Kais a, jifeng agricultural machinery, M ercedes-Be nz, A udi 4S st ore and other large e nterpri ses and pr oject s have settle d in Shunqing. T hird, strengthe n pr oject construction. Annual implementation focus pr oject 3 9 a, fixed assets i nvestment total wi ll breakthr oug h 12 billion yuan, created district yil ai history high, S out h door dam, and five in shop old city transformation, and Ying Chi na industrial conce ntrated distri ct construction, and city mai n road construction, and Nort heast steam Trade Ce nter, a nd moder n farmers industry Park, and vocational education cit y, and low re ntal, and als o room constructi on, and feat ures bl ocks buil d, a nd farmers market transformation, a nd "rural versi on" Street transformation, focus

engine ering s peed up implementation, effectivene ss obviousl y. Expe cted to be achieved t his year, are a-wi de G DP 17 billion

5


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