cho M(-3,1) ,N(1,4) , P(5,3) tìm tọa độ điểm Q sao cho MNPQ là hình bình hành câu hỏi 2852897 - hoidap247.com

Question

cho M(-3,1) ,N(1,4) , P(5,3) tìm tọa độ điểm Q sao cho MNPQ là hình bình hành

Meoweji · Answer

Đáp án:
`Q(1,0)` 
Giải thích các bước giải:
Gọi `Q(a,b)`
Có :  $\overrightarrow{MN}=(4,3)$
$\overrightarrow{QP}=(5-a,3-b)$
`MNPQ` là hình bình hành 
`⇔` $\overrightarrow{MN}=\overrightarrow{PQ}$
`⇔` $\begin{cases} 5-a=4\3-b=3 \end{cases}$
`⇔` $\begin{cases} a=1\b=0 \end{cases}$
Vậy `Q(1,0)`

hoanggiabao2010 · Answer

Đáp án:
 
Giải thích các bước giải:
 `
Gọi Q(a,b)" role="presentation" style="margin: 0px; padding: 1px 0px; cursor: url('data:image/png;base64,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') 0 0, auto; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.15px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;" tabindex="0">Q(a,b)Q(a,b)
Có : MN&#x2192;=(4,3)" role="presentation" style="margin: 0px; padding: 1px 0px; cursor: url('data:image/png;base64,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') 0 0, auto; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.15px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;" tabindex="0">−−−→MN=(4,3)MN→=(4,3)
QP&#x2192;=(5&#x2212;a,3&#x2212;b)" role="presentation" style="margin: 0px; padding: 1px 0px; cursor: url('data:image/png;base64,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') 0 0, auto; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.15px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;" tabindex="0">−−→QP=(5−a,3−b)QP→=(5−a,3−b)
MNPQ" role="presentation" style="margin: 0px; padding: 1px 0px; cursor: url('data:image/png;base64,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') 0 0, auto; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.15px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;" tabindex="0">MNPQMNPQ là hình bình hành 
&#x21D4;" role="presentation" style="margin: 0px; padding: 1px 0px; cursor: url('data:image/png;base64,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') 0 0, auto; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.15px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;" tabindex="0">⇔⇔MN&#x2192;=PQ&#x2192;" role="presentation" style="margin: 0px; padding: 1px 0px; cursor: url('data:image/png;base64,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') 0 0, auto; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.15px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; position: relative;" tabindex="0">−−−→MN=−−→PQMN→=PQ→
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xin hay nhất

cho M(-3,1) ,N(1,4) , P(5,3) tìm tọa độ điểm Q sao cho MNPQ là hình bình hành

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cho M(-3,1) ,N(1,4) , P(5,3) tìm tọa độ điểm Q sao cho MNPQ là hình bình hành

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