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![](https://rs.olm.vn/images/avt/0.png?1311)
a: Thay x=1 và y=-2 vào y=ax+1, ta được:
a+1=-2
hay a=-3
Vậy: (d'): y=-3x+1
c: Tọa độ giao điểm của (d) và (d') là:
\(\left\{{}\begin{matrix}-3x+1=x+3\\y=x+3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=-\dfrac{1}{2}\\y=3-\dfrac{1}{2}=\dfrac{5}{2}\end{matrix}\right.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a:
b: Phương trình hoành độ giao điểm là:
\(2x+7=-\dfrac{1}{2}x+2\)
=>\(2x+\dfrac{1}{2}x=2-7=-5\)
=>2,5x=-5
=>x=-2
Thay x=-2 vào y=2x+7, ta được:
\(y=2\cdot\left(-2\right)+7=7-4=3\)
Vậy: A(-2;3)
c: Tọa độ B là:
\(\left\{{}\begin{matrix}y=0\\2x+7=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=0\\2x=-7\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}y=0\\x=-3,5\end{matrix}\right.\)
Tọa độ C là:
\(\left\{{}\begin{matrix}y=0\\-\dfrac{1}{2}x+2=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=0\\-\dfrac{1}{2}x=-2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=0\\x=4\end{matrix}\right.\)
Vậy: C(4;0)
A(-2;3); B(-3,5;0); C(4;0)
\(AB=\sqrt{\left(-3,5+2\right)^2+\left(0-3\right)^2}=\dfrac{3\sqrt{5}}{2}\)
\(AC=\sqrt{\left(4+2\right)^2+\left(0-3\right)^2}=3\sqrt{5}\)
\(BC=\sqrt{\left(4+3,5\right)^2+\left(0-0\right)^2}=7,5\)
Vì \(AB^2+AC^2=BC^2\)
nên ΔABC vuông tại A
=>\(\widehat{BAC}=90^0\)
Xét ΔABC vuông tại A có \(sinABC=\dfrac{AC}{BC}=\dfrac{3\sqrt{5}}{7,5}\)
=>\(\widehat{ABC}\simeq63^0\)
ΔABC vuông tại A
=>\(\widehat{ABC}+\widehat{ACB}=90^0\)
=>\(\widehat{ACB}=90^0-63^0=27^0\)
d: Chu vi tam giác ABC là:
\(C_{ABC}=AB+AC+BC=\dfrac{3\sqrt{5}}{2}+3\sqrt{5}+7,5=\dfrac{9\sqrt{5}+15}{2}\)
Diện tích tam giác ABC là:
\(S_{ABC}=\dfrac{1}{2}\cdot AB\cdot AC=\dfrac{1}{2}\cdot\dfrac{3\sqrt{5}}{2}\cdot3\sqrt{5}=\dfrac{45}{4}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
b. PT hoành độ giao điểm \(x-3=2x+1\Leftrightarrow x=-4\Leftrightarrow y=-7\Leftrightarrow M\left(-4;-7\right)\)
Giúp mình vẽ hình với làm nốt mấy câu còn lại nữa
Mình cảm ơn
![](https://rs.olm.vn/images/avt/0.png?1311)
a
b:
PTHĐGĐ là:
x^2+x-2=0
=>(x+2)(x-1)=0
=>x=-2 hoặc x=1
=>y=4 hoặc y=1
![](https://rs.olm.vn/images/avt/0.png?1311)
b) Phương trình hoành độ giao điểm là:
\(2x+6=-x+3\)
\(\Leftrightarrow2x+x=3-6\)
\(\Leftrightarrow3x=-3\)
hay x=-1
Thay x=-1 vào (d), ta được:
\(y=2\cdot\left(-1\right)+6=-2+6=4\)
Vậy: A(-1;4)
![](https://rs.olm.vn/images/avt/0.png?1311)
b: Tọa độ Q là:
2x-4=-x+4 và y=2x-4
=>x=8/3 và y=16/3-4=4/3
c: Tọa độ M là:
x=0 và y=2x-4=-4
Tọa độ N là:
x=0và y=-x+4=4
Q(8/3;4/3); M(0;-4); N(0;4)
\(MQ=\sqrt{\left(0-\dfrac{8}{3}\right)^2+\left(-4-\dfrac{4}{3}\right)^2}=\dfrac{8\sqrt{5}}{3}\)
\(QN=\sqrt{\left(0-\dfrac{8}{3}\right)^2+\left(4-\dfrac{4}{3}\right)^2}=\dfrac{8\sqrt{2}}{3}\)
\(MN=\sqrt{\left(0-0\right)^2+\left(4+4\right)^2}=8\)
\(C=\left(\dfrac{8\sqrt{5}}{3}+\dfrac{8\sqrt{2}}{3}+8\right)\left(cm\right)\)
Xét ΔMNQ có
\(cosN=\dfrac{NM^2+NQ^2-QM^2}{2\cdot NM\cdot NQ}=\dfrac{\sqrt{2}}{2}\)
nên góc N=45 độ
\(S=\dfrac{1}{2}\cdot NM\cdot NQ\cdot sinN=\dfrac{1}{2}\cdot\dfrac{8\sqrt{2}}{3}\cdot8\cdot\dfrac{\sqrt{2}}{2}=\dfrac{32}{3}\)
\(cosM=\dfrac{MQ^2+MN^2-QN^2}{2\cdot MQ\cdot MN}\)
nên góc M=27 độ
=>góc Q=180-45-27=108 độ
![](https://rs.olm.vn/images/avt/0.png?1311)
b: Tọa độ M là:
x=0 và y=1-3/2*0=1
Vì (d) đi qua M(0;1) và N(2;3) nên ta có hệ:
0a+b=1 và 2a+b=3
=>b=1; a=1
y=ax-b hả bạn
a, Từ giả thiết suy ra \(\left\{{}\begin{matrix}a+b=-2\\-2a+b=3\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}a=-\dfrac{5}{3}\\b=-\dfrac{1}{3}\end{matrix}\right.\Rightarrow y=-\dfrac{5}{3}x-\dfrac{1}{3}\)
b,![](data:image/png;base64,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)
c, Phương trình hoành độ giao điểm
\(-\dfrac{5}{3}x-\dfrac{1}{3}=x-3\Leftrightarrow x=1\Rightarrow y=-2\Rightarrow M\left(1;-2\right)\)
d1, \(tanMPQ=-\left(-\dfrac{5}{3}\right)=\dfrac{5}{3}\Rightarrow\widehat{MPQ}\approx59^o\)
d2, \(P\left(-\dfrac{1}{5};0\right);Q\left(3;0\right);M\left(1;-2\right)\)
Chu vi \(P=PQ+QM+MP=\dfrac{16}{5}+2\sqrt{2}+\dfrac{2\sqrt{34}}{5}\)
\(p=\dfrac{\dfrac{16}{5}+2\sqrt{2}+\dfrac{2\sqrt{34}}{5}}{2}\)
Diện tích \(S=\sqrt{p\left(p-\dfrac{16}{5}\right)\left(p-2\sqrt{2}\right)\left(p-\dfrac{2\sqrt{34}}{5}\right)}=...\)