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Ta có :
\(S_{ABC}=\frac{1}{2}.AH.BC=\frac{10.6}{2}=30\)( đvdt )
\(S_{ABC}=\frac{1}{2}\cdot AH\cdot BC=\frac{1}{2}\cdot6\cdot10=30\)
86.NHỮNG PHÉP TÍNH THÚ VỊ
24+36=1
11+13=1
158+207=1
46+54=1
thì khi đó người làm câu hỏi bị sai/ mình nghĩ thế
Mình làm 1 bài thôi nhé
Bài 5
\(a.1-2y+y^2=\left(1-y\right)^2\)
\(b.\left(x+1\right)^2-25=\left(x+1\right)^2-5^2=\left(x-4\right)\left(x+6\right)\)
\(c.1-4x^2=1-\left(2x\right)^2=\left(1-2x\right)\left(1+2x\right)\)
\(d.27+27x+9x^2+x^3=3^3+3.3^3.x+3.3.x^2+x^3=\left(3+x\right)^3\)
\(f.8x^3-12x^2y+6xy-y^3=\left(2x\right)^3-3.\left(2x\right)^2.y+3.2x.y-y^3=\left(2x-y\right)^3\)
Bài 4 :
a, \(x^3+3x^2-x-3=x^2\left(x+3\right)-\left(x+3\right)=\left(x+1\right)\left(x-1\right)\left(x+3\right)\)
b, bạn xem lại đề nhé
c, \(x^2-4x+4-y^2=\left(x-2\right)^2-y^2=\left(x-2-y\right)\left(x-2+y\right)\)
d, \(5x+5-x^2+1=5\left(x+1\right)+\left(1-x\right)\left(x+1\right)=\left(x+1\right)\left(6-x\right)\)
\(1.\left(x+4\right)^2-\left(x-1\right)\left(x+1\right)=16\Leftrightarrow x^2+8x+16-x^2+1=16\)
\(\Leftrightarrow8x=-1\Leftrightarrow x=-\frac{1}{8}\)
\(2.\left(x-1\right)^2+\left(x+3\right)^2+2\left(x-1\right)\left(x+3\right)=4\Leftrightarrow\left(x-1+x+3\right)^2=4\)
\(\Leftrightarrow\left(2x+2\right)^2=4\Leftrightarrow\orbr{\begin{cases}2x+2=2\\2x+2=-2\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=0\\x=-2\end{cases}}\)
3.\(\left(x-1\right)^2-x\left(x-1\right)=0\Leftrightarrow\left(x-1\right)\left[\left(x-1\right)-x\right]=0\Leftrightarrow x-1=0\Leftrightarrow x=1\)
\(4.\left(3x-1\right)^2+\left(5x-2\right)^2-2\left(3x-1\right)\left(5x-2\right)=9\Leftrightarrow\left(3x-1-5x+2\right)^2=9\)
\(\Leftrightarrow\left(2x-1\right)^2=9\Leftrightarrow\orbr{\begin{cases}2x-1=3\\2x-1=-3\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-1\end{cases}}\)
5.\(\left(x-1\right)\left(x^2+x+1\right)-x\left(x-2\right)\left(x+2\right)=5\Leftrightarrow x^3-1-\left(x^3-4x\right)=5\)
\(\Leftrightarrow4x=6\Leftrightarrow x=\frac{3}{2}\)
6.\(\left(x-1\right)^3-\left(x+3\right)\left(x^2-3x+9\right)+\left(x-2\right)\left(x+2\right)=2\)
\(\Leftrightarrow x^3-3x^2+3x-1-\left(x^3+27\right)+x^2-4=2\)
\(\Leftrightarrow-2x^2+3x-34=0\text{ vô nghiệm}\)
A B C K M H
a, Xét \(\Delta ABH\)và \(\Delta BCA\)có :
\(\widehat{B}\)chung
\(\widehat{BAC}=\widehat{BHA}\)
\(\Rightarrow\Delta ABH~\Delta BCA\)
b, Xét \(\Delta AKH\)và \(\Delta AHC\)có :
\(\widehat{KAH}\)chung
\(\widehat{AKH}=\widehat{AHC}=90^0\)
= > \(\Delta AKH~\Delta AHC\)
= > \(\frac{HK}{HC}=\frac{AH}{AC}\)( 1 )
Xét \(\Delta ABC\)có \(\widehat{A}=90^0\)
Áp dụng đinh lí Pytago trong tam giác ABC vuông tại A có :
\(AB^2+AC^2=BC^2\)
\(\Leftrightarrow6^2+8^2=BC^2\)
\(\Leftrightarrow100=BC^2\Rightarrow BC=\sqrt{100}=10\)
Xét \(\Delta ABC\)có : \(\widehat{A}-90^0\), \(AH\perp BC,H\in BC\)
\(\Rightarrow AH.BC=AB.AC\)
\(\Rightarrow AH.10=6.8\)
\(\Rightarrow AH=4,8\)
( 1 ) \(\Rightarrow\frac{HK}{HC}=\frac{AH}{AC}\Rightarrow\frac{HK}{6,4}=\frac{4,8}{8}\)
\(\Rightarrow HK=3,84\)
c, Bạn làm nốt nhé