cho hàm số y=ax.
a) Tìm a biết A(-2; 1/2) thuộc đồ thị hàm số.
b) Vẽ đồ thị hàm số ứng với A vừa tìm được
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![](https://rs.olm.vn/images/avt/0.png?1311)
a: Thay x=2 và y=-1 vào y=ax, ta được:
2a=-1
hay a=-1/2
![](https://rs.olm.vn/images/avt/0.png?1311)
3:
Gọi chiều rộng là x
=>Chiềudài là x+6
Theo đề, ta có: x(x+6)=160
=>x^2+6x-160=0
=>(x+16)(x-10)=0
=>x-10=0
=>x=10
=>Chiều dài là 16m
![](https://rs.olm.vn/images/avt/0.png?1311)
a: Thay x=-1 và y=5 vào y=ax+6, ta được:
6-x=5
hay x=1
b: Vì đồ thị hàm số y=ax+b đi qua hai điểm (1;1) và (0;-2) nên ta có hệ phương trình:
\(\left\{{}\begin{matrix}a+b=1\\b=-2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=1-b=1-\left(-2\right)=1+2=3\\b=-2\end{matrix}\right.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(1,\Rightarrow\dfrac{x}{3}=\dfrac{y}{5}=\dfrac{3x+y}{9+5}=\dfrac{28}{14}=2\\ \Rightarrow\left\{{}\begin{matrix}x=6\\y=10\end{matrix}\right.\\ 2,\\ a,a=2\Rightarrow y=f\left(x\right)=2x\\ b,f\left(-0,5\right)=2\left(-0,5\right)=-1\\ f\left(\dfrac{3}{4}\right)=2\cdot\dfrac{3}{4}=\dfrac{3}{2}\\ c,\text{Thay }x=-4;y=2\Rightarrow-4a=2\Rightarrow a=-\dfrac{1}{2}\)
Ta có: x/y=3/5 ⇒ x/3=y/5
Theo tính chất của dãy tỉ số bằng nhau ta có:x/3=y/5=3x/3.3=y/5= 3x+y9/y9+5=28/14=2
Do đó:
x/3=2 ⇒x=2.3=6
y/5=2 ⇒y=2.5=10
Vậy x=6 và y=10.
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,\Leftrightarrow a+3=4\Leftrightarrow a=1\\ \Leftrightarrow y=x+3\\ c,\text{PT hoành độ giao điểm: }x+3=2x+5\Leftrightarrow x=-2\Leftrightarrow y=1\Leftrightarrow A\left(-2;1\right)\\ \text{Vậy tọa độ giao điểm 2 đths là }A\left(-2;1\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,\Leftrightarrow a\ne0\\ b,\Leftrightarrow3a-2=1\Leftrightarrow a=1\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Đồ thị hàm số `y=ax+2` song song với `y=-x => a=-1`
`=> y=-x+2`
b) Các điểm thuộc đồ thị: `(0;2) , (2;0)`.
Lời giải:
a. Vì $A\in$ đths đã cho nên: $y_A=ax_A$
$\Leftrightarrow \frac{1}{2}=a(-2)\Rightarrow a=\frac{-1}{4}$
b. Đồ thị hàm số $y=\ax=\frac{-1}{4}x$ có dạng:
![](data:image/png;base64,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)