Sử dụng GEOMETERS SKETCHPAD vào bài toán tìm giá trị lớn nhất, giá trị nhỏ nhất của hàm số bậc hai

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Sử dụng GEOMETERS SKETCHPAD vào bài toán tìm giá trị lớn nhất, giá trị nhỏ nhất của hàm số bậc hai

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HUONG DAN QUAN L isa DUNG sir mmi niimui''''mns siimvuviu} vAo itAi TOAIV Tbi uiA Till tm iviiilT, iiiA Till mi6 \IIAT CAA HAM H6 UAC ILII Trong chuong trinh Dai sd 10, hgc sinh (HS) c6 djp lam quen vdi[.]

HUONG DAN QUAN L i s a DUNG sir mmi niimui'mns siimvuviu} vAo itAi TOAIV Tbi uiA Till tm iviiilT, iiiA Till mi6 \IIAT CAA HAM H6 UAC ILI Phan Van Phirong Truang THPT B Hdi Hgu, Nam Dinh - Bdm chpn hai diem -2 vd Trong chuong trinh Dai y day la phan mem thuong sd 10, hgc sinh (HS) c6 djp mai, neu khdng mua thi chi viia tgo tren true Ox, dn Chi + lam quen vdi ham so bdc dung cho myc dich gido dye), K de hipn ten cho diem nay, nhat vd hdm sd bdc hai Chiing ta can phdi ldm lan lugt mgc dinh Id A, B (Khi mpt ddi tugng dugc chgn, chiirig se hi Dac bipt Id hdm sd bgc hai cac budc sau: y=f(x)=ax~+bx+c (a?K)), ling Budc Tgo mgt bdn ve bao phii bdi dudng vien mdu dyng ciia chung vdo edc bdi (sketch) mdi bang each chgn hdng) toan tim gid tri Idn nhat, gia tri File-> New Sketch (hogc - Chgn Contruct->Segmeiit nhd nhdt (GTLN, GTNN) thgt bam to hgp phim tdt Ctri + N) de tao doan thang AB (hoac dn phong phii Trong bdi bdo ndy, Budc Chgn Graph-> Chi + L) tdi xin trinh bdy mpt ling dyng Show Gird de nhin thdy hp Budc Chgn cdng cu ciia Geometer's Sketchpad tryc tpa dp Point Tool Bam vdo mpt vi (GSP) vdo vipe tim GTLN, Budc Ve thj hdm tri bat ki tren dogn AB de tap GTNN ciia hdm sd bac hai sd y=J{x)=x'-3x-4 bang each diem C (dn Ctri + K de hipn tren mpt doan cho trude chgn Graph-^FIot New ten cho diem mdi tgo ndy) Chgn cdng cu Translation Bai todn: Tim GTLN^ Function hoac an to hgp GTNN eiia ham sd phim tat Ctrl+G Sau dd nhap Arrow Tool Bam chgn diem C (neu diem C da dugc chpn y^f(x)^ax \-bx+c, (a^O) tren vao xf'l-lx-A An OK doan [m;n] De dl chuyen dd thi den vj san thi thdi) vd tryc Ox hoac tri thich hgp cd the nhdn vd doan AB Cach giai Ta lap Bdng bien thien giii chudt trai vdo gdc tga Chgn ontruct->Peipaidkuhr (BBT) cho hdm sd y=J[x) tren rdi di chuyen den vi tri mdi de dung dudng thdng y di qua doan [m;n] Budc4 Chgn cdng cy C vd vudng gdc vdi AB Cach gidi nay_ khdng phdi Point Tool (hinh dau cham) Bam chgn giao diem ciia dudng thang j vd Parabol HS ndo ciing de ddng hieu Xem hinh I dugc, vi cdc em mdi lam quen vdi Bdng bien thien, md chi xet tren (-x; +00) mgt cdch hinh thirc (?!) Do do, tdi da su dung Geometer's Sketchpad k I de giiip cdc em nhin nhdn vdn 1 de mgt each trye quan nhdt Vi dy Tim gia tri Idn nhat_, : gid tri nhd nhdt cua hdm sd y=f(x)=x^-2x-4 tren doan ' , [-2;5] / 1 Mudn gidi dugc bai ni?ii, I \ • ' todn ndy tren phdn mim Geometer's Sketchpad (phien - Bam vao diem -2 va tren Bam Ctrl + K se hien ten diSm bdn GSP5 hogc GSP4, gido true Ox si tjo hai dijm co tga la D (Xem hmh 2) (B6 tao dilm D co th6 chon vien cd the tim tren mang, dp A (-2;0) va B (5;0) -ChpncongcvTranslation duong thingj va Parabol rbi hogc ed the tai vl theo dia chi sau http://wTvw.mediafire Arrow Tool (hinh mui ten), jn Ctrl + Shift+ 1) Chpn didm D va duong cm/?ed41khaj5m8qkwm, lira hoac an ESC Ngay nhan bai 19/6/2012 Ngay duy^l ding 27/7/2012 38 TAP CHI THlflBIGUO DUC-SO 84-8/2012 i 1 HUONG DAN QUAN LI SI/DUNG 1 l\ •/-I- ' \' A 'ci \ rr I ' ID •• i- i Perpendicular de dung dudng thang k di qua D vd vudng gdc vdiy Bam vdo gigo diem cua k yd trye Oy de tao diem E, (bdm Chi +K de hien ten eua diem ndy) Budc Bam chudt phdi vao diem E, chgn Trace Intersection , Chpn dudng, thang j vd k Bam Ctrl + H de dn hai dudng thang da chgn Chgn diem E, D Bdm Ctri + L Chgn dilm D, C Bdm Ctri + L Chgn doan thdng AB, CD vd DE Chgn menu Display->Line Styie->Thin Chon menu Display->Line Style^Dashed Chon tat cd cdc diem A,B,C,D,E Bdm Ctrl + K d l an ten cdc diem tren _ Budc Bam chudt phdi vdo diem C, chgn Animate Point Khi dd hop dieu, khien Motion Controller xuat hien Cd the chgn Speed (tdc khodng 0.50) de dilm E tao vet chuyen ddng dugc ro hem Liic ndy ta thay dilm C di chuyen hong pham vi tir -2 din thi diem D di ehuyen tren Parabol vd cd tung dg thay ddi phgm vi tir -5 den 11 Tuong ling vdi GTLN ciia hdm so y^J{x)=x^-2x-4 la II vd GTNN Id-5 Cd the xem tun^ dg diem D thay_ ddi nhu the ndo bdng cdch bdm chudt phdi vao diem D, chgn Ordinate (y) (De cira sd nhin rdng hon, cd the chon Display->Hide Text Palette) Tdi ti^u tham khao Phan trg giiip (Help) ciia phan mem Geometer's Sketchpad Sumary This article guides the Geometer's Sketchpad you use to illustrate finding the maximum value, minimum value of quadratic functions y=f(x)=ax^+bx+c, (a?^) m the showed range By showing students see the value of the fiinction changes when the number of variations on a given segment defined PHUONG P H A P S U D U N G ATLAT DIA LI., luge dd vdi bdn de khai thdc kiln thiie + Sir dyng cau hdi yeu cau HS phdn tich Idt cdt dia hinh, hogc dya vdo bdn dd, ve vd phan tich lat cat dia hinh (Cac cdeh ldm tren cd the thuc hien vdi m^t, hoac nhieu hang bdn dd ciia Atlat) Tai liSu t h a m khao (Tiep trang 5) heavily on student leaming and test, test The process Nguyen Dire Vu, Phdn of using Vietnam Geographic tich bdng so li^u, ve bieu do, Atlas often steps: setting up the lucre do, dpc Atlat Dia li Vipt outline (outline) knowledge Nam, NXB Dgi hpc Qudc gia extraction and exploitation of maps content; presented Hd Ndi, 2011 as written assignments The Summmary Geographic Atlas of exploitation of Atlas content Vietnam is an important means under different owners have of teaching, which is used different specific outline Atiat Dia li Viet Nam, NXB Giao due, 2010 TAP CHI THIFTBI GIAO DUC-SO 84-8/2012 • 39 ... Palette) Tdi ti^u tham khao Phan trg giiip (Help) ciia phan mem Geometer''s Sketchpad Sumary This article guides the Geometer''s Sketchpad you use to illustrate finding the maximum value, minimum value... Bam chudt phdi vao diem E, chgn Trace Intersection , Chpn dudng, thang j vd k Bam Ctrl + H de dn hai dudng thang da chgn Chgn diem E, D Bdm Ctri + L Chgn dilm D, C Bdm Ctri + L Chgn doan thdng... variations on a given segment defined PHUONG P H A P S U D U N G ATLAT DIA LI., luge dd vdi bdn de khai thdc kiln thiie + Sir dyng cau hdi yeu cau HS phdn tich Idt cdt dia hinh, hogc dya vdo bdn dd,

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