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TRNG TRUNG HC PH THNG NINH HI
Ngi thc hin: CHU NGC HNG
2009
2
PHN 1: M U
Qua nhiu nm nghin cu phn mm GSP v nhng t tp hun, hng dn cho gio
vin s dng phn mm ny ti cm nhn c s cn thit phi vit thm mt s hng dn
ca phn mm ny mt cch chi tit hn nhm h tr cho gio vin v hc sinh tip cn phn
mm mt cch d dng hn, trc quan hn, to c hng th cho ngi s dng.
Ti cng thy c mt s nhu cu cp thit ca ngi s dng phn mm nh sau:
- Lm sao dng hnh mt cch nhanh nht?
- Lm sao son cc trnh din mang tnh tng tc vi ngi hc t hiu qu cao?
- Cch xy dng nhng cng c phc v cho vic son ging hiu qu hn?
- Lm th no xem cch thit k ca ngi khc?
- Lm sao xy dng cc tng?
Vi nhng i hi trn v pha ngi mun s dng phn mm GSP, ti bin son mt
ti liu nh sau:
3
PHN 2: LM QUEN VI PHN MM GSP 2.1 GIAO DIN CA GSP Khi ng Geometers Sketchpad 5.0
Cc thao tc trn phn mm GSP tng t nh cc thao tc trn phn mm Office i vi cc
th thanh Menu cng nh cc nt thanh cng c, thanh cun
2.2 H THNG MENU:
a) Menu File:
New Sketch To bn v mi
OpenM bn v c sn
Sketchpad LessonLink Lin kt bn v
Save Lu bn v.
Save as Lu bn v vi tn khc
Closeng bn v ang m
Document Options Ty chn ca ti liu
Page setup Thit t trang in
Print Preview Xem trc trang in
Print In
Quit Thot
4
b) Menu Edit: (hiu chnh)
Undo Phc hi thao tc va thi hnh
Redo Lm li
Cut Ct cc i tng ang c chn lu vo b nh
Copy Chp cc i tng ang c chn lu vo b nh
Paste Picture Dn cc i tng ang lu b nh
Clear Xo i tng c chn
Action Buttons To nt hot ng.
Select All Chn tt c cc i tng ang hin th
Select Parents Chn i tng cha
Select Children Chn i tng con
Split/Merge chia/gp cc i tng.
Edit Definition nh ngha li
PropertiesThuc tnh ca cc i tng
PreferencesThng s ca cc i tng
c) Menu Display:(Cch hin th)
Point Style: Kiu ca im
Line Style: Kiu ca ng
Color: Mu ca cc i tng
Text: vn bn
Hide Objects: n i tng
Show All Hidden: Hin tt c cc i tng n
Show Labels: Hin th tn
Label Objects t tn
Trace To vt cho i tng.
Erase traces: Xa vt ca i tng.
Animate Object: to chuyn ng cho i tng.
5
Increase speed: tng tc chuyn ng
Decrease Speed: Gim tc chuyn ng.
Stop Animation: dng chuyn ng.
Show Text Palette: Hin thanh nh dng vn bn
Show Motion Control: Hin hp iu khin chuyn ng
Hide Toolbox: n hp cng c.
d) Menu Construct (Php dng hnh)
Point on Object: Ly im trn i tng
Midpoint: Ly trung im on thng
Intersection: Ly giao ca cc i tng
Segments: Dng on thng ni cc im
Rays: Dng na ng thng.(t 1 im n 1 im)
Lines: Dng ng thng.(qua 2 im)
Parallet Line: Dng ng thng song song vi 1 ng
thng v qua 1 im
Perpendicular Line: Dng ng thng vung gc 1
ng thng v qua 1 im
Angle Bisector: Dng phn gic ca gc to bi ba im
c th t.
Circle By Center + Point: Dng ng trn bit tm v
6
qua 1 im
Circle By Center + Radius: Dng ng trn bit tm v
bn knh.
Arc on Circle: Dng cung trn ng trn
Arc through 3 Points: Dng cung trn qua 3 im.
Interior: T min trong hnh
Locus: to qu tch.
e) Menu Transform (Php bin hnh)
Mark Center: nh du tm
Mark Mirror: nh du trc i xng
Mark Angle: nh du gc quay
Mark Ratio: nh du t s
Mark vector: nh du vect tnh tin
Mark distance: nh du khong cch
Translate Php Tnh tin
RotatePhp quay
Dilate Php v t
Reflect: Php i xng
IteratePhp lp
f) Menu Measure (o lng)
Length: di on thng
Distance: Khong cch gia 2 im
Perimeter: Chu vi a gic
Circumference: Chu vi ng trn
Angle: s o gc to bi 3 im c th t.
Area: Din tch hnh trn, a gic, vin phn, qut.
Arc Angle: S o cung.
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Arc Length: di cung.
Radius: Bn knh
Ratio: T s
Value of Point: Gi tr ca im
Coordinates: Ta im.
Abcissa(x): Honh im
Ordinate(y): Tung im
Coordinate Distance: Khong cch gia 2 im theo h ta .
Slope: h s gc
Equation: Phng trnh
g) Menu Graph ( th)
Define Coordinate System: h trc ta nh sn
Mark Coordinate System: nh du h trc ta
Grid Form: Chn h li ta .
Show Grid: hin li ta .
Dotted Grid: im li ta
Snap Points: Bt dnh im vo li ta .
New Parameter To mt thng s mi.
New Function To biu thc ca mt hm s mi.
Plot New Function To biu thc v th ca mt hm
s mi.
Derivative: Tnh o hm ca hm s.
Tabulate: To bng gi tr.
Add Table Data Thm bng gi tr.
Remove Table Data Xo bng gi tr.
8
h) Menu Window
Cascade: xp lp
Tile: xp ta
i) Menu Help
Learning Center
Welcome Videos
Using Sketchpad
Teaching with Sketchpad
Reference Center
Objects
Tools
Menus
Online Resource Center
Sample Sketches & Tools
Check for Updates
Technical Support
Picture Gallery
License Information
About Sketchpad
9
2.3 H THNG CNG C:
Toolbox Tool Chc nng
Chn hoc ko i tng
Chn v quay i tng quanh 1 im chn lm tm
Chn v v t i tng quanh 1 im chn lm tm
V im
V ng trn (1im lm tm v 1 im trn ng trn)
V on thng qua 2 im
V tia t 1 im n 1 im
V ng thng qua 2 im
Min a gic (c t mu)
Hnh a gic (c t mu)
Bin a gic
Son vn bn
Bt v
Thng tin i tng
Cng c ngi dng to thm.
10
PHN 3: BI TP THC HNH
3.1 BI TP C BN:
Bi tp Cch dng
Bi 1 : V ba im A, B, C khng thng hng, v on thng AB, v tia AC v v ng thng BC
Dng cng c dng 3 im.
Chn 3 im dng theo th t ri dng cng
c t tn
Dng cng c ni A vi B
Dng cng c ni B vi C
Dng cng c ni A vi C.
Bi 2 : V t gic ABCD, v ng trn (A, AC)
Dng cng c dng 4 im
Chn 4 im dng theo th t ri dng cng
c t tn
Dng cng c hay t hp phm Ctrl + L
ni cc nh to thnh t gic.
Dng cng c v ng trn tm A qua C
Bi 3 : V tam gic ABC, sau v ng cao AH, ng trung tuyn CD, ng phn gic BE ca gc ABC v ng trung trc ca cnh BC
Dng cng c dng 3 im, chn chng
theo th t, dng cng c t tn v
cng c s c tam gic ABC.
Chn im A v on BC vo menu Construct chn perpendicular line dng ng thng qua A v vung gc vi BC. Chn on BC vo menu Construct chn Intersection dng giao im H.
Chn ng vung gc, dng t hp phm Ctrl
11
+ H n i.
Ni AH bng cng c
Chn on AB, dng t hp phm Ctrl + M dng trung im, ni CD.
Chn 3 im A, B, C theo th t , vo menu Construct chn Angle bisector dng tia phn gic gc B. dng giao im E, cho tia phn gic n i ri ni BE.
ng trung trc ngi c t lm.
Bi 4 : V hnh bnh hnh ABCD, v giao im O ca AC v BD, v ng trn (O, CD)
Dng 3 im A, B, C.
Chn 2 im B, C theo th t, vo menu Transform chn Mark vector to vect tnh tin.
Chn im A, vo menu Transform chn Translate, OK to im D l tnh tin ca A theo vect BC.
Ni cc nh c hnh bnh hnh, dng giao im O. (th thay i v tr cc im xem ABCD c cn l hnh bnh hnh?)
Chn im O v on CD, vo menu Construct chn Circle by center + radius dng ng trn (O; CD). (th thay i cc i tng trn hnh v).
Bi 5 : V tam gic nhn ABC ni tip ng trn tm O, v cc cung nh AB, AC v BC ca ng trn (O) vi nt m v mu cho cung AB, mu xanh cho cung AC, mu vng cho cung BC
Dng ng trn tm O (ch im sinh ra ng trn.)
Dng cng c dng 3 im trn ng trn, t tn v ni chng c tam gic ABC.
Cho n ng trn v im sinh.
Chn cc im O, A, B theo th t , vo menu Construct chn Arc on circle. Tng t
12
cho cc cung BC, CA.
Thay i mu sc, d dy mng ca cc i tng bng cch right click vo i tng ri chn thuc tnh ph hp cho mi i tng.
Bi 6 : V ba im khng thng hng A, B, C. Sau , v cung trn ABC. Copy cung va dng ra v tr mi, t tn li l cung DEF ri t mu nh hnh v
Dng 3 im, t tn cho chng
Chn c 3 im, vo menu Construct chn Arc through 3 points dng cung trn.
Chn tt c cc i tng dng (Ctrl +A) dng lnh Copy; Paste dng cung mi ri i tn cc im mi thnh D, E, F
Chn cung ABC, dng t hp phm Ctrl + P dng hnh qut trn.
Chn cung DEF, vo menu Construct chn Arc interior chn Arc segment dng hnh vin phn.
C th ly cc gi tr o lng ca i tng bng cch chn i tng ri vo menu measure ly cc gi tr o lng.
Bi 7 : V ng trn (O) v im M ngoi ng trn . T M v cc tip tuyn MA, MB vi ng trn (O).
Dng ng trn tm O, ch im sinh.
Dng im M ngoi ng trn.
Dng on OM, trung im N ca on OM.
Dng ng trn tm N, bn knh NM; dng
cng c ni N vi M.
Dng cc giao im ca 2 ng trn (O), (N); chn 2 ng trn vo menu Construct chn Intersections.
t tn cho 2 giao im l A, B; ni MA; MB ri n cc i tng khng cn thit.
A
B
C
F
E
D
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Bi 8 : V tam gic ABC c nh A nm trn ng thng d song song vi BC. V vng trong tam gic ABC ri o din tch v chu vi tam gic ABC. Cho A di ng trn d thy din tch tam gic ABC lun khng i
Animate Point
Dng tam gic ABC
Dng im M bt k, chn im M v on BC, vo menu Construct chn Parallete line dng ng thng d qua M v song song vi BC.
Chn im A v ng thng d, vo menu edit chn meger point to parallete line bt dnh im A vo ng thng d.
Chn 3