From e5d7c62687743e60cc9c8b54ebddb22a8459886d Mon Sep 17 00:00:00 2001 From: sijanec Date: Mon, 16 Nov 2020 17:12:21 +0100 Subject: =?UTF-8?q?kon=C4=8Dana=20=C5=A1estnajsta=20doma=C4=8Da=20naloga?= =?UTF-8?q?=20za=20matematik?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- mat/domace_naloge/16/e.tex | 69 ++++++++++++++++++++++++++++------------------ 1 file changed, 42 insertions(+), 27 deletions(-) (limited to 'mat/domace_naloge/16/e.tex') diff --git a/mat/domace_naloge/16/e.tex b/mat/domace_naloge/16/e.tex index 4f62cd2..dc1f2c8 100644 --- a/mat/domace_naloge/16/e.tex +++ b/mat/domace_naloge/16/e.tex @@ -1,31 +1,46 @@ \begin{center} \begin{tikzpicture} - \tkzDefPoint(0,0){A} \tkzDefPoint(7,0){B} \tkzDefPoint(7/2+3,0){vH} - \tkzLabelLine[below left](A,B){$a$} \tkzCompass(A,B) - \tkzInterCC(A,B)(B,A) \tkzGetPoints{P1}{P2} - \tkzCompass(A,P1) \tkzCompass(B,P1) \tkzCompass(A,P2)\tkzCompass(B,P2) - \tkzDrawLine(P1,P2) \tkzInterLL(P1,P2)(A,B) \tkzGetPoint{M} - \tkzInterLC(P1,P2)(M,vH) \tkzGetPoints{V}{VUSELESS} \tkzCompass(M,V) - \tkzInterLC(P1,P2)(V,M) \tkzGetPoints{VX}{MAGAIN} \tkzCompass(V,VX) - \tkzInterCC(M,VX)(VX,M) \tkzGetPoints{V1}{V2} - \tkzCompass(M,V1)\tkzCompass(M,V2)\tkzCompass(VX,V1)\tkzCompass(VX,V2) - \tkzDrawLine(V1,V2) \tkzInterLL(P1,P2)(V1,V2) \tkzGetPoint{M2} - \tkzInterLC(A,B)(A,M) \tkzGetPoints{MX}{MAGAIN} \tkzCompass(A,MX) - \tkzInterCC(MX,M)(M,MX) \tkzGetPoints{A1}{A2} - \tkzDrawLine(A1,A2) \tkzInterLL(A1,A2)(V1,V2) \tkzGetPoint{AV} - \tkzInterLC(A,B)(A,AV) \tkzGetPoints{USELESS}{AK9} \tkzCompass(A,AK9) - \tkzDefMidPoint(AV,AK9) \tkzGetPoint{AK} - \tkzCompass(AV,AK) \tkzCompass(AK9,AK) - \tkzInterLL(V1,V2)(A,AK) \tkzGetPoint{D} - \tkzDrawLine(A,D) \tkzLabelLine[above left](A,D){$d$} - \tkzInterLC(A,B)(B,M) \tkzGetPoints{MAGAIN}{MXB} \tkzCompass(B,MXB) - \tkzDrawLine(MX,MXB) \tkzInterCC(B,MXB)(MXB,B) - \tkzGetPoints{120}{USELESS} \tkzCompass(B,120) \tkzCompass(MXB,120) - \tkzInterLL(B,120)(V1,V2) \tkzGetPoint{C} - \tkzDrawLine(B,C) \tkzLabelLine[below right](B,C){$b$} - \tkzLabelLine[below](D,C){$c$} - \tkzDrawPolygon[fill=blue!30, opacity=.3](A,B,C,D) - \tkzMarkRightAngles(A,M,P1 M,M2,V2 M,A,AV A,AV,V) - \tkzDrawPoints(A) \tkzLabelPoints(A,B,D,C) + \tkzDefPoint(0,0){A} \tkzDefPoint(6,0){B} + \tkzLabelLine[below](A,B){$a$} \tkzCompass(A,B) + \tkzDefMidPoint(A,B) \tkzGetPoint{M} \tkzCompass(A,M) \tkzCompass(B,M) + \tkzInterLC(A,M)(A,M) \tkzGetPoints{MX}{MAGAIN} \tkzCompass(A,MX) + \tkzDrawLine(MX,B) \tkzInterCC(MX,M)(M,MX) \tkzGetPoints{P1}{P2} + \tkzCompass(MX,P1) \tkzCompass(M,P1) + \tkzCompass(MX,P2) \tkzCompass(M,P2) + \tkzDrawLine(P1,P2) \tkzInterLC(P1,P2)(A,M) \tkzGetPoints{M1}{M2} + \tkzCompass(A,M1) \tkzCompass(A,M2) + \tkzDefMidPoint(M1,M) \tkzGetPoint{A1} + \tkzCompass(M,A1) \tkzCompass(M1,A1) + \tkzDefMidPoint(M2,M) \tkzGetPoint{A2} + \tkzCompass(M,A2) \tkzCompass(M2,A2) + \tkzInterCC(M,A)(A,M) \tkzGetPoints{M2}{M1} + \tkzCompass(M,M1) \tkzCompass(M,M2) \tkzCompass(A,M1)\tkzCompass(A,M2) + \tkzInterLL(A,A1)(M,M1) \tkzGetPoint{D1} + \tkzInterLL(A,A2)(M,M2) \tkzGetPoint{D2} + \tkzDrawLine(M,D1) \tkzDrawLine(M,D2) \tkzLabelLine[left](A,D1){$d1$} + \tkzDrawLine(A,D1) \tkzDrawLine(A,D2) \tkzLabelLine[left](A,D2){$d2$} + \tkzInterCC(M,B)(B,M) \tkzGetPoints{B1}{B2} + \tkzCompass(M,B1) \tkzCompass(M,B1) \tkzCompass(B,B1)\tkzCompass(B,B2) + \tkzDrawLine(B,B1) \tkzDrawLine(B,B2) + \tkzInterLL(D1,D2)(A,B) \tkzGetPoint{DM} + \tkzInterLC(D1,D2)(D1,DM) \tkzGetPoints{M1X}{USEL} \tkzCompass(D1,M1X) + \tkzInterLC(D1,D2)(D2,DM) \tkzGetPoints{USEL}{M2X} \tkzCompass(D2,M2X) + \tkzDrawLine(M1X,M2X) + \tkzInterCC(DM,M1X)(M1X,DM) \tkzGetPoints{V1}{V2} + \tkzCompass(DM,V1) \tkzCompass(M1X,V1) + \tkzCompass(DM,V2) \tkzCompass(M1X,V2) + \tkzInterCC(DM,M2X)(M2X,DM) \tkzGetPoints{W1}{W2} + \tkzCompass(DM,W1) \tkzCompass(M2X,W1) + \tkzCompass(DM,W2) \tkzCompass(M2X,W2) + \tkzInterLL(B,B1)(V1,V2) \tkzGetPoint{C1} + \tkzInterLL(B,B2)(W1,W2) \tkzGetPoint{C2} + \tkzDrawLine(D1,C1) \tkzLabelLine[below](D1,C1){$c1$} + \tkzDrawLine(D2,C2) \tkzLabelLine[below](D2,C2){$c2$} + \tkzLabelLine[below left](B,C1){$b1$} + \tkzLabelLine[above left](B,C2){$b2$} + \tkzDrawPolygon[fill=blue!30, opacity=0000.3000](A,B,C1,D1) + \tkzDrawPolygon[fill=red!30, opacity=0000.3000](A,B,C2,D2) + \tkzMarkRightAngles(M,A,P1 A,DM,D1) + \tkzDrawPoints(A) \tkzLabelPoints(A,B,M,D1,D2,C1,C2) \end{tikzpicture} \end{center} -- cgit v1.2.3