1 szkoły ponadpodstawowej

I liceum

I technikum

MATeMAtyka 1. Zakres podstawowy. Po gimnazjum

a) 2+2&gt;?​7<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='1.08em' viewBox='0 0 400000 1080' preserveAspectRatio='xMinYMin slice'><path d='M95,702
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M834 80h400000v40h-400000z'/></svg>​     4&gt;?​7<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='1.08em' viewBox='0 0 400000 1080' preserveAspectRatio='xMinYMin slice'><path d='M95,702
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M834 80h400000v40h-400000z'/></svg>​    16<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='1.08em' viewBox='0 0 400000 1080' preserveAspectRatio='xMinYMin slice'><path d='M95,702
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c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z
M834 80h400000v40h-400000z'/></svg>​&gt;?​7<svg xmlns="http://www.w3.org/2000/svg" width='400em' height='1.08em' viewBox='0 0 400000 1080' preserveAspectRatio='xMinYMin slice'><path d='M95,702
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s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429
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M834 80h400000v40h-400000z'/></svg>​     tak

Rozwiązanie 1

<table style="height: 483px;text-align: center;" border="1" width="585"> <tbody> <tr> <td style="width: 139px;">długość najdłuższego boku trójkąta [w dm]</td> <td style="width: 139px;">długość pozostałych boków [w dm]</td> <td style="width: 139px;">nierówność trójkąta</td> <td style="width: 140px;">czy taki trójkąt istnieje (czy nierówność trójkąta jest spełniona)</td> </tr> <tr> <td style="width: 139px;"> 3 &nbsp;</td> <td style="width: 139px;"> 2,2 &nbsp;&nbsp;</td> <td style="width: 139px;"> 2+2&gt;3 &nbsp;</td> <td style="width: 140px;"> tak &nbsp;</td> </tr> <tr> <td style="width: 139px;"> 3 &nbsp;</td></tr></tbody></table>

a)   ∣∠DCE∣=∣∠ACB∣    (kąty wierzchołkowe) ∣∠DEC∣=∣∠CAB∣    (kąty naprzemianległe)

a)

a) ΔAFB≡ΔBGC≡ΔCHD≡ΔDIE≡ΔEJA

<table style="border:none;border-collapse: collapse;width: 624px;"> <tbody> <tr style="height: 0px;"> <td style="vertical-align: top;padding:7px 7px 7px 7px;border:solid #000000 1px;">długość najdłuższego boku (w cm)</td> <td style="vertical-align: top;padding:7px 7px 7px 7px;border:solid #000000 1px;">długości pozostałych boków (w cm)</td> <td style="vertical-align: top;padding:7px 7px 7px 7px;border:solid #000000 1px;">nierówność trójkąta</td> <td style="vertical-align: top;padding:7px 7px 7px 7px;border:solid #000000 1px;">czy taki trójkąt istnieje (czy nierówność jest spełniona)</td> </tr> <tr style="height: 0px;"> <td style="vertical-align: top;padding:7px 7px 7px 7px;border:solid #000000 1px;"> 2,5 &nbsp;</td> <td style="vertical-align: top;padding:7px 7px 7px 7px;border:solid #000000 1px;"> 1,   2 &nbsp;</td> <td style="vertical-align: top;padding:7px 7px 7px 7px;border:solid #000000 1px;"> 1+2&gt;2,5 &nbsp;</td> <td style="vertical-align: top;padding:7px 7px 7px 7px;border:solid #000000 1px;"> tak &nbsp;</td></tr></tbody></table>

.1 powt.