Taller de Matemáticas Septimo

 

[MJJBQ KB CM[BCÍ[FDMT NQMK@ TÆU[FC@ FOT[F[R[@ ORB\M BOTBÝMOWM =< KB CMQW@ KB 1515 Kbspuæs kb hmabr d`osujtmk` y d`cprbokfk` j`s tbcms pr`pubst`s pmrm fovbstfnmr, rbsubjvm bj sfnufbotb tmjjbr. Dumjqufbr kukm qub pubkm surnfr d`o bj kbsmrr`jj` kb jm tbcítfdm kbabrí sbr mo`tmkm pmrm qub p`stbrf`rcbotb sbm bxpjfdmkm bo djmsbs.

F.  BDRMDF@OBT D@O O×CBQ@T BO[BQ@T =.  Qbs`jvbr7 m.  4+x-134+= a.  -1+23x-1-x k.  =-6x3-1 b.  4x31=

1.  Ujmotbm y rbsubjvb jms sfnufbotbs bdumdf`obs tbofbok` bo dubotm bj jbonumgb mjnbarmfd` m.  Ro o÷cbr` cís =< bs fnumj mj trfpjb kb kfdh` o÷cbr`. °]uæ o÷cbr` bs0 a.  °]uæ k`s o÷cbr` d`osbdutfv`s sucmo 1>0 d.  Tf Q`sm tfbob 4 mý`s cís qub su hbrcmom y sus bkmkbs sucmo =>, °]uæ bkmk tfbob Q`sm0

FF. D@OGRO[@ D@OGRO[@ KB J@T O×CBQ@T QMDF@OMJBT =.  Bxprbsm dmkm sftumdfôo d`o uo o÷cbr` rmdf`omj m.  Jm rbjmdfôo qub rbprbsbotm jm dmotfkmk kb dmrtms r`gms d`o rbspbdt` mj t`tmj kb dmrtms kbj pôibr, tbofbok` bo dubotm qub bo uom amrmgm kb pôibr hmy uo t`tmj kb 21 dmrtms y =4 kb bjjms s`o r`gms. a.  Jm rbjmdfôo qub rbprbsbotm jm dmotfkmk kb rbsujtmk`s cmy`rbs qub ; bo rbjmdfôo d`o j`s p`sfajbs rbsujtm`s, mj jmozmr uo kmk`.

 

1.  Qbprbsbotm jms sfnufbotbs sftumdf`obs d`c` `pbrmdf`obs botrb o÷cbr`s rmdf`omjbs7 m.  Jm tbrdbrm pmrtb mucbotmkm bo jm qufotm pmrtb a.  K`s tbrdf`s kfscfoufk`s bo jm cftmk d.  [rbs dumrt`s cbo`s uo sbxt` mucbotmk`s bo sfbtb qufot`s 4.  Bxprbsm dmkm rmdf`omj d`c` uom kfvfsfôo b fokfdm duíjbs kb bjj`s sb pubkbo bsdrfafr d`c` o÷cbr`s botbr`s7 m.  a.  d.  k.  b. 

1/4 -=1/4 >1/-4< -121/-;1 =2/- 

4.  Rom sbý`rm kbab amgmr kb pbs`, =< ifj`s. Kb mdubrk` d`o sus rbnfstr`s, kurmotb bj prfcbr cbs amgô 6/1 Ifj`s9 bj sbnuok` cbs ==/2 ifj`s9 bj tbrdbr cbs 8/4 ifj`s y bj dumrt` cbs =4/; ifj`s. Kb mdubrk` d`o j` motbrf`r bs víjfk` mlfrcmr qub7 m.  J`s k`s prfcbr`s cbsbs amgô jm cftmk kbj pbs` qub sb jb rbd`cbokô. a.  Jm sbý`rm j`nrô amgmr bj pbs` bo ifj`s qub sb jb rbd`cbokô. d.  Kurmotb bj sbnuok` y tbrdbr cbs amgô >4/=2 ifj`s k.  Bj dumrt` cbs amgô cís ifj`s qub bj prfcbr cbs.

F\.  BXUQBTF@O KB RO O×CBQ@ KBDFCMJ BO L@QCM KB LQMDDFÔO =.  Rob d`o uom jãobm j`s o÷cbr`s kbdfcmjbs kb jm fzqufbrkm, d`o su rbspbdtfvm rbprbsbotmdfôo rbprbsbotmdfôo d`c` lrmddfôo, kb jm kbrbdhm

̂  ,, ̰   . ̰   . ̰   . ̰   .

    14  66 =6  11 =62 115 =    4

1.  Fokfdm bo dmkm dms` sf jm mlfrcmdfôo bs lmjsm ` vbrkmkbrm y bxpjfdm tu rbspubstm. m.  Jm kfstmodfm cíxfcm botrbs j`s bxtrbc`s kb uom dubrkm kb 42/; cbtr`s kb jmrn` bs cbo`r qub 8,> cbtr`s. a.  Rom dumkrm bqufvmjb m =55 cbtr`s pjmo`s. Jm dmsm kb Kmofbjm bst{m m jm cftmk kb jm dumkrm y bstí sbpmrmkm kb jm su cbg`r mcfnm p`r dumkrm y cbkfm. Umrm qub Kmofbjm jjbnub hmstm jm dmsm kb su mcfnm kbab rbd`rrbr 4/1 kb dumkrm