Giai Toan Tim Toa Do Diem Bang Maple

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    CHNG TRNH H TR HC TON, DY TON.

    Knh cho qu Thy c, qu Ph Huynh, cc em hc sinh, sinh vin!

    Vi 25 nm ging dy, 10 nm tip cn tin hc, 5 nm tri rng r my m nghin cu

    trong nim am m Ton hc Thy Nguyn Quc Phong Trng THPT Ph Ngc, nh

    Qun, ng Nai vit ra nhng chng trnh chy trn nn Maple h tr cho vic hc ton

    ca hc sinh v dy ton ca Gio vin. c bit nhng chng trnh Thy Phong vit ra h

    tr rt tt cho cc Thy, c dy ton trong vic son gio n, ra trc nghim, t lun, trong

    vic ging dy trn lp ln vic dy thm, mt cch nhanh chng, chnh xc v hiu qu. Cc

    chng trnh tht d dng s dng v kim tra kt qu ra hoc cho con em t kim tra cch

    lm ca mnh bng cch nhp vo h s ca phng trnh nhn enter th c ngay bi gii, kt

    qu v c bit Chng trnh c th xut ra file Word v rt tin s dng.

    CC CHNG TRNH VIT

    1. Chng trnh kho st s bin thin v v th hm s (GT 12)

    2. Mt s bi tp nng cao v vit phng trnh ng thng trong khng gian (HH 12)

    3. Mt s bi tp nng cao v vit phng trnh ng trn trong mt phng (HH 10)

    4. Chng trnh gi tn ngu nhin hc sinh khi kim tra bi c.

    5. Mt s bi tp nng cao v tm ta im trong khng gian (HH 12)

    6. Mt s bi tp nng cao v tm ta im trong mt phng (HH 10)

    7. Mt s bi tp nng cao v vit phng trnh ng thng trong mt phng (HH 10)

    8. Mt s bi tp nng cao v tm gi tr ca tham s m trong Hnh hc phng (HH 10)

    9. Mt s bi tp nng cao v tm ta im lin quan n kho st hm s (GT 12)

    10.Mt s bi tp nng cao v tm gi tr ca tham s m lin quan n cc tr ca hm bc

    ba (GT 12)

    11.Mt s bi tp nng cao v tm gi tr ca tham s m lin quan n cc tr ca hmtrng phng (GT 12)

    12.Mt s bi tp nng cao v tm gi tr ca tham s m lin quan n giao im ca hai

    th (GT 12)

    13.Mt s bi tp nng cao v vit phng trnh mt phng trong khng gian (HH 12)

    14.Cc bi ton c bn v vit phng trnh tip tuyn (GT 11, 12)

    15. Chng trnh trc nghim t chm im (5 cu, 10 cu, 20 cu, 40 cu)

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    Trong cc chng trnh vit ra Thy Phong c tng cho Qu Thy/C, qu Ph

    Huynh v cc em hc sinh, nhng ngi thch hc ton chng trnh kho st s bin thin v

    v th hm s (GT12). Ring cc chng trnh t 2 n 15 theo thng tin Nhatphi

    http://violet.vn/nhatphi/ nhn c t tc gi th s dng c CT cn phi tr ph, mt phcc k nh.

    HNG DN S DNG

    s dng c chng trnh th trc ht my tnh phi c ci t chng trnh

    Maple t phin bn 13 tr ln. Nhatphi c gi km trong a CD Chng trnh Maple 14 cc

    hng dn ci t, crack, hng dn s dng chi tit CT Maple 14.

    I. HNG DN CI T PHN KHO ST HM S GT 12

    Bc 1: Download 3 tp tin: KhaoSatHamSo.ind; KhaoSatHamSo.lib; Khaosathamso.mw t

    i ch trang web: http://www.dayhocintel.net/diendan/showthread.php?t=17428 hoc chp

    trong a CD m Nhatphi gi km ri thc hin nh sau:

    Bc 2: Copy hai tp tin KhaoSatHamSo.ind; KhaoSatHamSo.lib vo trong th mc ci t

    chng trnh Maple 14 theo ng dn (c th khc so vi my thy c)

    Ta c nh hnh v:

    http://violet.vn/nhatphi/http://www.dayhocintel.net/diendan/showthread.php?t=17428http://www.dayhocintel.net/diendan/showthread.php?t=17428http://violet.vn/nhatphi/
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    Bc 3: Duoble click vo tp tin Khaosathamso: Ta vo giao din ca chng

    trnh kho st hm s.

    s dng chng trnh kho st hm s bc ba, Click vo nt trc Hm bc

    ba:

    Tip tc Click v nt trc Bi gii

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    gii cc bi ton mi ta thay cc h s trong:

    Chng hn thayKhaoSatHamSo[Hambacba](1,-3,0,1);

    thnhKhaoSatHamSo[Hambacba](1, 3,1,2); Ri nhn Enter, c kt qu:

    Lu

    - Chng trnh xut ra y bi gii, c th, kt lun nh mt bi gii chi tit khi thi

    tt nghip, i hc:

    - Cc hm s khc Qu Thy/c lm tng t.

    II. CHNG TRNH TIP TUYN CA NG CONG.

    Nhatphi xin gii thiu n qu thy c chng trnh tip tuyn ca ng cong. cbit chng trnh ny gii c bi ton tip tuyn vi hm v t.

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    Xin lu : T chng trnhnytr i vic ci t cc CT khc Qu Thy/c, Phhuynh hc sinh, cc c gi ch cn chp tp tin dng: *.ind v *.lib vo th vin Lib theong dn ni trn sau chy tp tin dng: *.mw vo tng CT v chim nghim sk diu ca n nhatphi thi khng hng dn cch ci cc chng trnh khc na.

    Trong chuyn ny nhatphi gii thiu vi qu thy c cc dng phng trnh tip tuyn ving cong gm:

    Dng I: Bit ta tip im

    - Bit honh :

    - Bit tung :

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    Dng II: Tip tuyn i qua im:

    Dng III: Bit h s gc ca tip tuyn

    - Cch gii 1:

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    - Cch gii 2:

    - Tip tuyn song song vi ng thng:

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    - Tip tuyn vung gc vi ng thng:

    III. TIP TUYN CA NG TRN

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    Mi loi tip tuyn vi ng trn vit cho hai dng phng trnh ng trn, rt tinli s dng.

    Bi ton I: Tip tuyn ti mt im

    Nhp theo quy cch: Tn hm(PT ng trn, honh tip im, tung tip im);

    Dng 1:

    Dng 2:

    Bi ton 2: Bit honh tip im

    Nhp theo quy cch: Tn hm(PT ng trn, honh tip im);

    Dng 1:

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    Dng 1:

    Dng 2:

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    - Tip tuyn i qua im nhp Tn hm(PT ng trn, honh tip im, tung tip

    im) nhn Enter hnh 5.- Bit h s gc tip tuyn nhp Tn hm(PT ng trn, h s gc tip tuyn) nhn Enter

    hnh 6.- Tip tuyn song song vi ng thng nhp Tn hm(PT ng trn, PT ng thng) nhn

    Enter hnh 7- Tip tuyn vung gc vi ng thng nhp Tn hm(PT ng trn, PT ng thng)

    nhn Enter hnh 8

    nhatphi tip tc gii thiu n Qu Thy/C chng trnh trc nghim t chm im.Trong chng trnh ny c cc loi trc nghim 4 la chn a,b,c,d gm 5 cu, 10 cu, 20 cu v 40cu. V c bn cch ci t v s dng chng trnh ging cc phn trc, tuy nhin ty theo yu cuca loi trc nghim m qu thy c ra cho ph hp. im khc bit l qu thy, c cn to

    trc nghim cho ring mnh. Nhatphi xin hng dn cch to trc nghim:CCH TO TRC NGHIM- Trc khi s dng, Qu Thy c copy file Tracnghiem5cau, Tracnghiem10cau, Tracnghiem20cau,Tracnghiem40cau thnh 1001 file nh th chnh sa, to mi file 1 theo mnh v ty nghis dng theo mc ch ca ring mnh. Ni dung c sn ch l minh ha.- Vi mi file, Qu Thy c chnh sa, to ni dung , p n d dng nh dng Mathtype trongWord.- Sau khi to xong, Qu Thy c nhp chut phi vo nt chn p n, s hin menu nh hnh v( hnh v minh ha cho trng hp p n ng l Cu 1C).

    - Qu Thy c nhp tip chut tri vo dng ch Component Properties s hin bng nh hnh v.

    - Trong dng Name: Qu Thy c chnh sa ch c sn thnh Dung1, cc dng khc khng chnh sa,xong nhp OK.

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    - Sang Cu 2, Cu 3, Qu Thy c to p n ng tng t nh Cu 1.

    - Lu : Nt chnp n ng c dng Name lun l Dung1 vi cu 1, Dung2 vi cu 2,Cncc nt c p n sai trong mi cu, dng Name Qu Thy c nhp ty min l ng trng tnnhau, nu trng tn chng trnh s bo li,Qu Thy c phi chnh sa li.

    CCH S DNG CHNG TRNH TRC NGHIM- Sau khi chn cc p n, lm bi xong, Qu Thy c m mc Chm im ra, du nhp nhy cachut trong hng ch chamdiem[namcau]() ri nhn phm Enter, kt qu im bi lm s c hinth. p n ng trong mi cu s c bit nh nm ngay v tr nt m nht trong cu .

    Chuyn tip theo nhatphi xin gii thiu n Qu Thy/c l Phn 1 chuyn ngthng trong khng gian gm:

    1. ng vung gc chung ca d[1] v d[2].

    2. ng thng i qua A ct d[1] v d[2].

    3. ng thng i qua A vung gc vi d[1] v ct d[2].

    4. ng thng i qua A ct d v song song vi mp().

    5. Hnh chiu vung gc ca d trn mp().

    6. ng thng nm trong (P) bit d, d(A , ), A = d(P).

    7. ng thng nm trong mp(P) v ct hai ng thng d[1] v d[2].

    8. ng thng i qua A song song vi (P) c khong cch t B n ng thng nhnht.

    9. ng thng qua A ct d v vung gc vi d.

    10.ng thng nm trong mt phng (P), vung gc vi d v ct d.

    (hnh 1)

    Bn cnh qu thy c ch cn c chng trnh kim tra kt qu ca hc sinh: Chngtrnh kim tra kt qu (nu cn).

    Nhatphi xin hng dn cch s dng:

    1. V cch ci chng trnh t bi vit ny tr i nhatphi xin thi khng gii thiu chitit na. Cch ci t tng t cc phn trc.

    2. Phn hng dn:

    Chuyn ny gm 10 dng phng trnh ng thng trong khng gian giithiu trn.

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    im khc bit trong chng trnh ny c mt s ch sau:

    o Tt c cc dng ton trn, ch vit cho dng phng trnh tham s. (nu

    cho phng trnh tng qut, chnh tc th chuyn qua PT tham s v tinhnh nhp h s ca phng trnh theo bi ton mu c sn)

    o i vi dng 1: ng vung gc chung ca d[1] v d[2]. Qu Thy c c

    nhp h s PT hai ng thng bt k, chng trnh t kim tra v tr tngi (song song, ct, trng, cho) gii.

    Chng hn nhp:Duongthangkhonggian1[BT2](3,2,6,4,4,1,2,1,1,1,5,2); th chngtrnh s bo: (hnh 2)

    Cn nhp:Duongthangkhonggian1[BT2](1,2,0,0,-5,-1,0,0,4,-2,5,3); th chng trnhs bo: (hnh 3)

    o Khi hc sinh gii ra kt qu, gio vin c th kim tra kt qu bng cch

    nhp h s PT ca chng trnh gii v nhp h s PT ca hc sinh.

    o

    3. Tt c cc dng ton gi gn trong file nh km.

    Cc hnh nh bi gii ca 10 dng ton v ng thng trong khng gian.

    1. ng vung gc chung ca d[1] v d[2].

    2. ng thng i qua A ct d[1] v d[2].

    3. ng thng i qua A vung gc vi d[1] v ct d[2].

    4. ng thng i qua A ct d v song song vi mp().

    5. Hnh chiu vung gc ca d trn mp().6. ng thng nm trong (P) bit d, d(A , )

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