algebra
SQxCQSȤȤȡ3cosȡ35sinȡ3sinȡ52cos
5cosȡ2xsin
ꡤsinȡ3/5cosȡ4/5x4(cm)
1121ڡ 0:35:40 48551
鯤ο
ޤϡϵ

APRȡSQ=xȤ

ȡʬĹȦȤɽ졢
λդĹȤΩȡ

cos+2sinȡᣱ
x=(2+5cos-2sin)/(1+cos-sin)

򤯤ȡcosȡ4/5sinȡ3/5
ơx=4
//
1121ڡ 0:40:25 48552
Ȥ
AP=aȤAR=sqrt(9-a^2)
ǢARP梤BRT
3:5=AR(=sqrt(9-a^2)):BR BR=5*sqrt(9-a^2)/3
3:5=AP(=a):BT BT=5*a/3
ޤBTR梤DTS
5:2=BR(=5*sqrt(9-a^2)/3):DS DS=2*sqrt(9-a^2)/3(1)
5:2=BT(=5*a/3):DS DT=2*a/3
ΰ=AP(=a)+PR(=3)+BR(=5*sqrt(9-a^2)/3)=AR(=sqrt(9-a^2))+RT(=5)+TD(=2*a/3)
a+3+5*sqrt(9-a^2)/3=sqrt(9-a^2)+5+2*a/3
a/3+2*sqrt(9-a^2)=2
a+2*sqrt(9-a^2)=6
2*sqrt(9-a^2)=6-a ξա2褷
4*(9-a^2)=(6-a)^2
36-4*a^2=36-12*a+a^2
5*a^2-12*a=0
a*(5*a-12)=0
a=12/5
ΰ=42/5
BT(=5*a/3=4)+TS(=2)+SC=42/5
SC=42/5-2-4=12/5
(1)ȤDS=2*sqrt(9-a^2)/3=6/5 SC,DS
DST梤CSQ
TS(=2):SQ(=?)=DS(=6/5):SC(=12/5)
SQ=?=24*5/(5*6)=4()
˭ԡ 1121ڡ 1:54:23 MAIL:fttnm528@ybb.ne.jp 48553
鯤ο
4Ĥλѷϡ顢
⤷()BRTܢTSDᢤARPܢSCQ
СRT+TSRP+SQơ
SQ5+2-3=4ȽФ뤳ȤˤʤΤ()ޤƳʤ
1121ڡ 2:33:52 48554
Ȥ
ɸR(0,0),T(5,0)Ȥ
R,T濴ˤ줾Ĺa,sqrt(25-a^2)αߤθȤB
ľBR,BTޤ
줾x^2+y^2=9,(x-5)^2+y^2=4ȤθP,Sޤ
A,DޤDA=BR+RP-Pyɸa
ΰդޤ
B濴ĹΰդαߤȤθCޤ
C̤ľBCľ򤹤ľx=DxɸȤQyɸޤ
Syɸ-Qyɸ=SQޤǤ롡XMaxima

part(solve([x^2+y^2=a^2,(x-5)^2+y^2=25-a^2],[x,y]),2)$
part(solve([x^2+y^2=9,y=rhs(part(%o1,2))*x/rhs(part(%o1,1))],[x,y]),2)$
part(solve([(x-5)^2+y^2=4,y=-rhs(part(%o1,2))*(x-5)/(5-rhs(part(%o1,1)))],[x,y]),2)$
factor(rhs(part(%o3,1))-rhs(part(%o2,1))-rhs(part(%o2,2))-3-a)$
part(solve(expand((factor(part(num(%),1)-sqrt(expand(part(num(%),2)^2))))^2-(num(%)-part(num(%),1)-part(num(%),2))^2),a),1)$
ev(%o1,a=3)$ev(%o2,a=3)$ev(%o3,a=3)$
part(solve([(x-rhs(part(%o6,1)))^2+(y-rhs(part(%o6,2)))^2=(rhs(part(%o8,1))-rhs(part(%o7,1)))^2,y=-rhs(part(%o6,2))*(x-5)/(5-rhs(part(%o6,1)))],[x,y]),1)$
rhs(part(%o8,2))-rhs(y=(5-rhs(part(%o6,1)))*(rhs(part(%o8,1))-rhs(part(%o9,1)))/rhs(part(%o6,2))+rhs(part(%o9,2)));
4()
˭ԡ 1121ڡ 13:02:45 48555
ֿء׾ι
ľѻѷǤϡȥդ򡪡Ǥ
1121ڡ 6:27:28 48556
٥륯åĥ
ͤƤ餤Ĥδ֤ˤƤޤ
Ҥ3Ф3Ȥȡ+£á3++7+7+ãġ7+3++3+ǡʤΤǣ+£á+ãĤǡ+4+44++ˤʤޤ
xyѲƤax+4y4x+ayΩĤΤa4ΤȤʤΤ4
Ǹ夬ؤΤ褦ʵġĤȤꤢĤäƿޤ
1121ڡ 6:38:30 48557
ˤ⡼
УҢ梤£ԣҢ梤ģԣӢ梤ãѣӤʤΤ
ӣѡСᣳ⡡ҡᣳʤɤȤơΣդĹ򸵤Ω
ȣؤδط򣲤Ƴؤ򣴤ȻФޤ
ؤ˴ؤ룲ѡ
¡ 1121ڡ 20:54:42 HomePage:˥ͥäΥڡ48559
ǯ
ϢΩǤ򤱤ʤä
AP=3a, AR=3bơSQ=xΰLȤ
AP+PB=3a+3+5b=Lġ..
AD=3b+5+2a=Lġġġ.
BC=5a+2+bx=Lġġġ.
DQ+QC=2b+x+ax=Lġĭ
-=a-2+2b=0
a=2-2b

(3-3b)x=12-12b
x=4cm

1122ʶ 13:35:24 48560
鯤ο
#48552

ޤϡϵ

APRȡSQ=xȤ

ȡʬĹȦȤɽ졢
λդĹȤΩȡ

cos+2sinȡ2
x=(2+5cos-2sin)/(1+cos-sin)

򤯤ȡcosȡ4/5sinȡ3/5
ơx=4
//

1123ڡ 0:24:33 48561

https://f.uploader.xzy.pw/eu-prd/upload/20191123035447_41475a3870.jpg
(ĤD'Τ¦C'θǤ)
PQˤĤоΤˤʤ褦޷­ȡ=APRȤ
BPQ=(-)/2
ATT'=2-(/2++/2+(-)/2)=(-)/2=1/2*ATC
äƢBPQ=A'T'T
TA'D'QBA'˲­򤽤줾E,FȤ
TET'ᢤQFP ȤʤΤǡT'E=PF
A'D'-T'E=A'B-PFʤΤ
BT+D'T'=A'P+CQ
ʤBT+DT=AP+CQ
APR梤BTR梤DTS梤CQSʤΤ
RT+ST=RP+SQ
SQ=5+2-3=4

ޤǤ礦ʲǤߤޤ
ˡõޤäƤǤ礦
#48554 鯤οͤν񤭹ߤ⻲ͤˤƤޤ

1125ʷ 0:14:21 48562
ˤ
ƻ˷׻ޤ
Ķļˡ 1123ڡ 14:40:05 HomePage:ޤޤ48563
鯤ο
#48552

äƤ褦˻פޤ
ޤŤľʬ¤˵夵Τϡʼ«Ǥ
1124 18:00:26 48564

#48564 鯤οͤ ˡå꤬Ȥޤ
æäΤǵĤϤʤޤ
Τ褦ޤС٤ˤ餺ŤʤΤϻˤϿȯǤ
1125ʷ 0:20:29 48565
鯤ο
#48555
⹻ؤοءܤDz򤯴ߡʿԤ16΢꤬
ǡοޤDBCSTפƤǤ
ǤϡPR=2TQ(=SQȰ)=5givenǡRT(=RSȰ)ΤǤ
Ʊ褦ˤơPR+RTTQƳơRT=3Ȳ򤤤Ƥޤ

εɤ˻ĤäƤΤȻפޤ
1126ʲС 0:13:33 48566
ܥ󥯥ʥޡ
ǼĤ˺ܤνƤʤΤǴְäƤ鿽ޤ
ޤAPR BTR DTS CQSʤΤ
AP3a AR3b RB5b BT5a
TD2a DS2b SCxb CQxa Ȥޤ
ޤηʤΤǻդƥˤʤޤ
ä
AB3a5b3 BC5axb2
CDxa2bx DA2a3b5 Ȥʤޤ
ABCDBCDAȤ
3xaܡ7bܡ3xˡ7aܡx3bܡ7
x4
ޤդʤΤǤϤʤΤǤäƤߤޤȤäꤤޤ
1126ʲС 22:03:17 48567
鯤ο
#48567

3xaܡ7bܡ3xˡ7aܡx3bܡ7
(x-4)(a-b+1)=0
x=4ޤϡa-b+1=0

Ĥޤꡢx=4ȸˤϡa-b+10򼨤ʤȤޤ

ǡa-b+10Ȥȡ
a^2+b^2=1ʤΤǡ
ϢΩȡ(a,b)=(-1,0)(0,1)
a>0b>0ʤΤ̷⡣
äơa-b+10Τǡx=4
//

ºݤˤϡa=4/5b=3/5

1126ʲС 23:22:38 48568
ܥ󥯥ʥ)
#48568
ľ꤬Ȥޤʬ򤷤a b10򼨤ʤȤʤǤ͡
ΤˤǤ͡
鯤οͤľ꤬Ȥޤ
1127ʿ 0:23:39 48569
kyorofumi
#48550
ޤ󤵤󡢤꤬ȤޤϢŪطʤФѤ꤬Ǥ
1127ʿ 0:38:13 48570