Cu 3.

1.Cng thc m: * Cc ng thc c bn:

2) 3)

4) 5) Vi, l nhng s thc tu .

* Cho l cc s thc tu , ta c:

1) Vi th 2) Vi th

Nhn xt: Vi th

* Cho v s thc , ta c: 1) 2)

Nhn xt : Vi th .

* Nu l s t nhin l th , vi mi

Ch :

* Cho s thc ; l hai s nguyn, : .

* Ly tha vi s m nguyn m v m 0 th c s khc khng.

* Ly tha vi s m hu t v s thc th c s dng.2. Cng thc Logarit a. nh ngha: cho ; b > 0. Ta c:

V d :

Ta c k hiu: (l ga thp phn ca a) v (loga t nhin ca a ).

b. Nhn xt: T nh ngha, ta c:

c. Tnh cht:

Cho . Ta c:

Ch : Nu th v

d. Cng thc i c s: Cho , ta c: .

T ta c cc h qu sau:

Nhn xt: Ta c: v

3. Hm s m: a. nh ngha: L hm s c dng vi

b. Tnh cht: Hm s m c cc tnh cht sau

Tp xc nh l v tp gi tr l

Lin tc trn .

hm ng bin, tc l .

hm nghch bin, tc l .

Gii hn : v

o hm: v

4. Hm s Lgarit a. nh ngha: L hm s c dng , trong .

b. Tnh cht: Cc tnh cht ca hm s lgarit

Lin tc trn tp xc nh v tp gi tr

hm ng bin

hm s nghch bin

Gii hn:

o hm: vi ta c v , u.

Cu 4.

PHNG PHP CHNG MINH HAI NG THNG VUNG GC

1. Tnh cht ca hai tia phn gic ca hai gc k b.

2. Hai ng thng ct nhau to thnh mt gc bng 90

3. Tng ca hai gc ph nhau bng 90

4. ng thng vung gc vi mt trong hai ng thng song song th vung gc vi

5. ng thng th ba

6. Tnh cht gc ni tip chn na ng trn.

7. nh ngha ba ng cao trong tam gic, nh ngha ng trung trc ca on thng.

8. nh l Pitago.

9. Tnh cht ng knh ca mt ng trn i qua trung im ca mt dy cung.

10. Tnh cht tip tuyn ca ng trn.

11. Tip tuyn chung v ng ni tm ca hai ng trn, dy cung chung v ng ni

12. tm ca hai ng trn.

13. S dng hai gc k b bng nhau.

14. S dng nh l tng ba gc trong mt tam gic bng 180

15. S dng cc gc vung cho trc

16. S dng chng minh mt tam gic bng mt tam gic vung

17. S dng tnh cht tam gic cn

18. S dng tnh cht giao im ba ng cao ca tam gic

19. S dng php quay gc vung hoc gc quay vung

20. Chng ming phn chng21. phng php chng minh 3 im thng hng 1. S dng hai gc k b c ba im nm trn hai cnh l hai tia i nhau.

2. Ba im cng thuc mt tia hoc mt mt ng thng

3. Trong ba on thng ni hai trong ba im c mt on thng bng tng hai on thng kia.

4. Hai on thng cng i qua hai trong ba im y cng song song vi ng thng th ba.

5. Hai ng thng cng i qua hai trong ba im y cng vung gc vi ng thng th ba.

6. ng thng cng i qua hai trong ba im y c cha im th ba.

7. S dng tnh cht ng phn gic ca mt gc, tnh cht ng trung trc ca on thng, tnh cht ba ng cao trong tam gic .

8. S dng tnh cht hnh bnh hnh.

9. S dng tnh cht gc ni tip ng trn.

10. S dng gc bng nhau i nh

11. S dng trung im cc cnh bn, cc ng cho ca hnh thang thng hng

12. Chng minh phn chng

13. S dng din tch tam gic to bi ba im bng 0

14. S dng s ng qui ca cc ng thng. chng minh 2 ng thng song song

Xt v tr cc cp gc to bi hai ng thng nh chng minh song song vi mt

ng thng th ba (so le, ng v)

S dng tnh cht ca hnh bnh hnh.

Hai ng thng cng song song hoc cng vung gc vi ng thng th ba.

S dng tnh cht ng trung bnh ca tam gic , hnh thang, hnh bnh hnh .

S dng nh ngha hai ng thng song song.

S dng kt qu ca cc on thng tng ng t l suy ra cc ng thng song

song tng ng.

S dng tnh cht ca ng thng i qua trung im hai cnh bn hay i qua trung

im ca hai ng cho ca hnh thang.

s dng tnh cht hai cung bng nhau ca mt ng trn

PHNG PHP CHNG MINH CC T GIC NI TIP MT NG TRN1. Chng minh cho bn nh ca t gic cch u mt im no .

2. Chng minh t gic c tng hai gc i bng 180

3. Chng minh t gic c tng cc gc i bng nhau.

4. Chng minh t hai nh lin tip nhn hai nh cn lai di hai gc bng nhau.

5. Chng minh tng cc gc i bng nhau

6. Chng minh phn chng.

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