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Practice | SPM Add Math

SPM Additional Mathematics (KSSM)

Question
Bahasa Melayu
Jawapan yang diperoleh daripada lukisan berskala tidak akan diterima. Rajah 1 menunjukkan sebuah pepejal berbentuk prisma. Segi empat tepat mengufuk $KLMN$ ialah permukaan atasnya dan trapezium $KLQP$ ialah keratan rentas seragam. $KNSP$ dan $LMRQ$ ialah satah mencancang berbentuk segi empat tepat, manakala tapak $PQRS$ ialah satah condong. Diberi bahawa $KL = 15.0$ cm, $LM = 8.0$ cm, $KP = 12.0$ cm dan $MR = 6.0$ cm. Diberi juga bahawa luas segi tiga $PQL$ ialah 45 cm$^2$.

Hitung jarak terdekat, dalam cm, dari $Q$ ke garis lurus $PL$. Beri jawapan betul kepada dua tempat perpuluhan.

English
Answers obtained from a scale drawing will not be accepted. Diagram 1 shows a solid prism. The horizontal rectangle $KLMN$ is its top surface and the trapezium $KLQP$ is the uniform cross section. $KNSP$ and $LMRQ$ are vertical rectangular planes, while the base $PQRS$ is an inclined plane. It is given that $KL = 15.0$ cm, $LM = 8.0$ cm, $KP = 12.0$ cm and $MR = 6.0$ cm. It is also given that the area of triangle $PQL$ is 45 cm$^2$.

Calculate the shortest distance, in cm, from $Q$ to the straight line $PL$. Give your answer correct to two decimal places.
KLMNPQRS15.0 cm8.0 cm12.0 cm6.0 cm
[2 marks]
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Modelled on SBP trial · Kertas 2 · Q15(c)

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Modelled on SBP trial · Kertas 2 · Q15(c)

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