Ты просишь построить чертёж, соответствующий заданным условиям: AB - отрезок, K ∈ AB

Решение: 1) $AB$ — отрезок, $K \in AB$: ``` \documentclass{article} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (0,0) -- (4,0); \node[below] at (0,0) {$A$}; \node[below] at (4,0) {$B$}; \node[below] at (1.5,0) {$K$}; \fill (0,0) circle (2pt); \fill (4,0) circle (2pt); \fill (1.5,0) circle (2pt); \end{tikzpicture} \end{document} ``` 2) $PE$ – отрезок, $B \in PE$: ``` \documentclass{article} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (0,0) -- (4,0); \node[below] at (0,0) {$P$}; \node[below] at (4,0) {$E$}; \node[below] at (1.5,0) {$B$}; \fill (0,0) circle (2pt); \fill (4,0) circle (2pt); \fill (1.5,0) circle (2pt); \end{tikzpicture} \end{document} ``` 3) $AK$ — прямая, $C \in AK$: ``` \documentclass{article} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (-1,0) -- (5,0); \node[below] at (0,0) {$A$}; \node[below] at (2,0) {$K$}; \node[below] at (4,0) {$C$}; \fill (0,0) circle (2pt); \fill (2,0) circle (2pt); \fill (4,0) circle (2pt); \end{tikzpicture} \end{document} ``` 4) $DE$ — прямая, $Q \notin DE$: ``` \documentclass{article} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (-1,0) -- (5,0); \node[below] at (0,0) {$D$}; \node[below] at (4,0) {$E$}; \node[above] at (2,0.5) {$Q$}; \fill (0,0) circle (2pt); \fill (4,0) circle (2pt); \fill (2,0.5) circle (2pt); \end{tikzpicture} \end{document} ``` 5) $a$ — прямая, $N \in a$: ``` \documentclass{article} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (-1,0) -- (5,0); \node[below] at (2,0) {$N$}; \node[above] at (-0.5,0) {$a$}; \fill (2,0) circle (2pt); \end{tikzpicture} \end{document} ``` 6) $h$ — прямая, $W \notin h$: ``` \documentclass{article} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (-1,0) -- (5,0); \node[above] at (-0.5,0) {$h$}; \node[above] at (2,0.5) {$W$}; \fill (2,0.5) circle (2pt); \end{tikzpicture} \end{document} ``` 7) $FE$ — отрезок, $C \in FE$, $P \notin FE$: ``` \documentclass{article} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (0,0) -- (4,0); \node[below] at (0,0) {$F$}; \node[below] at (4,0) {$E$}; \node[below] at (1.5,0) {$C$}; \node[above] at (2,0.5) {$P$}; \fill (0,0) circle (2pt); \fill (4,0) circle (2pt); \fill (1.5,0) circle (2pt); \fill (2,0.5) circle (2pt); \end{tikzpicture} \end{document} ``` 8) $PM$ — отрезок, $V \in PM$, $A \notin PM$: ``` \documentclass{article} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (0,0) -- (4,0); \node[below] at (0,0) {$P$}; \node[below] at (4,0) {$M$}; \node[below] at (1.5,0) {$V$}; \node[above] at (2,0.5) {$A$}; \fill (0,0) circle (2pt); \fill (4,0) circle (2pt); \fill (1.5,0) circle (2pt); \fill (2,0.5) circle (2pt); \end{tikzpicture} \end{document} ``` 9) $AL$ — прямая, $B \in AL$, $X \notin AL$: ``` \documentclass{article} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (-1,0) -- (5,0); \node[below] at (0,0) {$A$}; \node[below] at (2,0) {$L$}; \node[below] at (1,0) {$B$}; \node[above] at (3,0.5) {$X$}; \fill (0,0) circle (2pt); \fill (2,0) circle (2pt); \fill (1,0) circle (2pt); \fill (3,0.5) circle (2pt); \end{tikzpicture} \end{document} ``` 10) $AB$ — отрезок, $CE$ — отрезок, $AB \cap CE = K$: ``` \documentclass{article} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (0,0) -- (4,0); \draw (1,-1) -- (1,1); \node[below] at (0,0) {$A$}; \node[below] at (4,0) {$B$}; \node[below] at (1,-1) {$C$}; \node[below] at (1,1) {$E$}; \node[above] at (1,0) {$K$}; \fill (0,0) circle (2pt); \fill (4,0) circle (2pt); \fill (1,-1) circle (2pt); \fill (1,1) circle (2pt); \fill (1,0) circle (2pt); \end{tikzpicture} \end{document} ``` 11) $MN$ и $HD$ — отрезки, $MN \cap HD = U$: ``` \documentclass{article} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (0,0) -- (4,0); \draw (1,-1) -- (1,1); \node[below] at (0,0) {$M$}; \node[below] at (4,0) {$N$}; \node[below] at (1,-1) {$H$}; \node[below] at (1,1) {$D$}; \node[above] at (1,0) {$U$}; \fill (0,0) circle (2pt); \fill (4,0) circle (2pt); \fill (1,-1) circle (2pt); \fill (1,1) circle (2pt); \fill (1,0) circle (2pt); \end{tikzpicture} \end{document} ``` 12) $ST$ и $OL$ — отрезки, $ST \cap OL = C$: ``` \documentclass{article} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (0,0) -- (4,0); \draw (1,-1) -- (1,1); \node[below] at (0,0) {$S$}; \node[below] at (4,0) {$T$}; \node[below] at (1,-1) {$O$}; \node[below] at (1,1) {$L$}; \node[above] at (1,0) {$C$}; \fill (0,0) circle (2pt); \fill (4,0) circle (2pt); \fill (1,-1) circle (2pt); \fill (1,1) circle (2pt); \fill (1,0) circle (2pt); \end{tikzpicture} \end{document} ``` 13) $p$ — прямая, $DE$ — отрезок, $DE \cap p = A$: ``` \documentclass{article} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (-1,0) -- (5,0); \draw (1,-1) -- (1,1); \node[above] at (-0.5,0) {$p$}; \node[below] at (1,-1) {$D$}; \node[below] at (1,1) {$E$}; \node[above] at (1,0) {$A$}; \fill (1,-1) circle (2pt); \fill (1,1) circle (2pt); \fill (1,0) circle (2pt); \end{tikzpicture} \end{document} ``` 14) $AB$ и $EF$ — прямые, $AB \cap EF = S$: ``` \documentclass{article} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (-1,-1) -- (5,5); \draw (-1,1) -- (5,-5); \node[above] at (2,2) {$S$}; \fill (2,2) circle (2pt); \end{tikzpicture} \end{document} ``` 15) Отрезки $AN$ и $AB$, $K \in AN$, $K \notin AB$: ``` \documentclass{article} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (0,0) -- (2,0); \draw (0,0) -- (1,1); \node[below] at (0,0) {$A$}; \node[below] at (2,0) {$B$}; \node[above] at (1,1) {$N$}; \node[above] at (0.5,0.5) {$K$}; \fill (0,0) circle (2pt); \fill (2,0) circle (2pt); \fill (1,1) circle (2pt); \fill (0.5,0.5) circle (2pt); \end{tikzpicture} \end{document} ``` 16) $b$ — прямая, $PH$ — отрезок, $PH \cap b = H$: ``` \documentclass{article} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (-1,0) -- (5,0); \draw (1,-1) -- (1,1); \node[above] at (-0.5,0) {$b$}; \node[below] at (1,-1) {$P$}; \node[below] at (1,1) {$H$}; \fill (1,-1) circle (2pt); \fill (1,1) circle (2pt); \end{tikzpicture} \end{document} ``` 17) $TM$, $TC$ и $AB$ — прямые, $TM \cap AB = A$, $TC \cap AB = B$: ``` \documentclass{article} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (0,0) -- (4,0); \draw (0,0) -- (2,2); \draw (4,0) -- (2,2); \node[below] at (0,0) {$A$}; \node[below] at (4,0) {$B$}; \node[above] at (2,2) {$T$}; \node[above left] at (0,0) {$TM$}; \node[above right] at (4,0) {$TC$}; \fill (0,0) circle (2pt); \fill (4,0) circle (2pt); \fill (2,2) circle (2pt); \end{tikzpicture} \end{document} ``` 18) $OD$, $OC$ и $KL$ — прямые, $OD \cap KL = L$, $OC \cap KL = F$: ``` \documentclass{article} \usepackage{tikz} \begin{document} \begin{tikzpicture} \draw (0,0) -- (4,2); \draw (1,1) -- (4,0); \draw (1,1) -- (0,2); \node[below] at (4,2) {$D$}; \node[below] at (4,0) {$C$}; \node[above] at (0,2) {$O$}; \node[above] at (1,1) {$K$}; \node[below] at (0,0) {$L$}; \node[below] at (3,0) {$F$}; \fill (4,2) circle (2pt); \fill (4,0) circle (2pt); \fill (0,2) circle (2pt); \fill (1,1) circle (2pt); \fill (0,0) circle (2pt); \fill (3,0) circle (2pt); \end{tikzpicture} \end{document} ```