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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
a: Xét ΔABE vuông tai A và ΔHBE vuông tại H có
BE chung
gócABE=gócHBE
=>ΔABE=ΔHBE
b: ΔBAE=ΔBHE
=>BA=BH; EA=EH
=>BE là trung trực của AH
![](https://rs.olm.vn/images/avt/0.png?1311)
P=2.4.6.8.16.32.64.128.256.512.1024.2^52
=2^1.2^2.2^3. .... .2^10.2^52
=2^(1+2+3+...+10+52)=2^107
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,x=\dfrac{1}{2};y=-100\)
\(\Rightarrow A=\dfrac{1}{2}\left[\left(\dfrac{1}{2}\right)^2+100\right]-\left(\dfrac{1}{2}\right)^2\left(\dfrac{1}{2}-100\right)-100\left[\left(\dfrac{1}{2}\right)^2-\dfrac{1}{2}\right]\)
\(\Rightarrow A=100\)
\(b,x=-1\)
\(\Rightarrow B=\left[\left(-1\right)^2-5\right]\left(-1+3\right)+\left(-1+4\right)\left[-1-\left(-1\right)^2\right]\)
\(\Rightarrow B=-14\)
\(c,x=-2\)
\(\Rightarrow C=-6\left(5.4-2\right)-5.4\left(7-6\right)-2,5\left(2-14.4\right)\)
\(\Rightarrow C=7\)
\(d,\left|x\right|=2\)
\(TH_1:x\ge0\)
\(D=\left(3.2+5\right)\left(2.2-1\right)+\left(4.2-1\right)\left(3.2+2\right)=89\)
\(TH_2:x< 0\)
\(D=\left(-6+5\right)\left(-4-1\right)+\left(-8-1\right)\left(-6+2\right)=41\)
![](https://rs.olm.vn/images/avt/0.png?1311)
`9,`
`a, 5/6+1/6 \div 4/3`
`= 5/6+1/8`
`= 23/24`
`b,`
`15/4*(-2/3+3/4)+15/4*(-1/3+1/4)`
`= 15/4*[(-2/3+3/4)+(-1/3+1/4)]`
`= 15/4*[(-2/3)+3/4-1/3+1/4]`
`= 15/4*[(-2/3-1/3)+(3/4+1/4)]`
`= 15/4*(-1+1)`
`= 15/4*0=0`
`10,`
`a, 35 - 3(x-30)=20`
`35- 3x-90=20`
`35+90-3x=20`
`125-3x=20`
`3x=125-20`
`3x=105`
`x=105 \div 3`
`x=35`
`b,`
`|2x-1/2|=3/2`
`=>`\(\left[{}\begin{matrix}2x-\dfrac{1}{2}=\dfrac{3}{2}\\2x-\dfrac{1}{2}=-\dfrac{3}{2}\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}2x=\dfrac{3}{2}+\dfrac{1}{2}\\2x=-\dfrac{3}{2}+\dfrac{1}{2}\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}2x=2\\2x=-1\end{matrix}\right.\)
`=>`\(\left[{}\begin{matrix}x=1\\x=-\dfrac{1}{2}\end{matrix}\right.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)