រកចម្ងាយរវាងពីរចំណុច P ( − 2 , 1 ) P\left(-2,1\right) P ( − 2 , 1 ) និង Q ( 1 , 3 ) Q\left(1,3\right) Q ( 1 , 3 ) នៅក្នុងប្លង់កូអរដោនេ។

13 \sqrt{13} 1 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

13 13 \frac{\sqrt{13}}{13} 1 3 1 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

ក្នុងតម្រុយកូអរដោនេមាន M ( 1 , 6 ) , N ( 6 , 1 ) , N P = 8 , ∠ L = 12 0 o M\left(1,6\right),N\left(6,1\right),NP=8,\angle L=120^o M ( 1 , 6 ) , N ( 6 , 1 ) , N P = 8 , ∠ L = 1 2 0 o ។ គណនា M P MP M P និងរង្វាស់មុំ ∠ P \angle P ∠ P ។ (គន្លឹះ៖ ប្រើទ្រឹស្ដីបទកូស៊ីនុស)

M P = 13 , ∠ P ≈ 2 8 o MP=13\ \ ,\ \angle P\approx28^o M P = 1 3 , ∠ P ≈ 2 8 o

M P = 13 , ∠ P ≈ 2 7 o MP=13\ \ ,\ \angle P\approx27^o M P = 1 3 , ∠ P ≈ 2 7 o

M P = 13 , ∠ P ≈ 8 8 o MP=13\ \ ,\ \angle P\approx88^o M P = 1 3 , ∠ P ≈ 8 8 o

M P = 13 , ∠ P ≈ 3 0 o MP=13\ \ ,\ \angle P\approx30^o M P = 1 3 , ∠ P ≈ 3 0 o

ក្នុងតម្រុយកូអរដោនេ ( x O y ) \left(xOy\right) ( x O y ) គេឱ្យចំណុច A ( 5 , 12 ) , A ′ ( 8 , 8 ) A\left(5,12\right)\ \ ,\ A'\left(8,8\right) A ( 5 , 1 2 ) , A ′ ( 8 , 8 ) ។ គណនាផ្ទៃក្រឡាត្រីកោណ O A A ′ OAA' O A A ′ ។

9 + 4 2 9+4\sqrt{2} 9 + 4 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

29 \sqrt{29} 2 9 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

គេមានចំណុច A ( − 2 , 1 ) , B ( 3 , 4 ) A\left(-2,1\right),B\left(3,4\right) A ( − 2 , 1 ) , B ( 3 , 4 ) ។ គណនាប្រវែង ∣ A B → ∣ \left|\overrightarrow{AB}\right| ∣ ∣ ∣ A B <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> ∣ ∣ ∣ ។

34 \sqrt{34} 3 4 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

34 34 \frac{\sqrt{34}}{34} 3 4 3 4 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

10 \sqrt{10} 1 0 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

តេស្តគណិតវិទ្យាថ្នាក់ទី១០

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

គេមានសមីការ $x^2+x+1=0$ ។ ចម្លើយនៃសមីការនេះគឺ

$-\frac{1}{2}\pm\frac{\sqrt{3}}{2}i$

$-\frac{1}{2}\pm\frac{\sqrt{3}}{2}$

$\frac{1}{2}\pm\frac{\sqrt{3}}{2}i$

$-1\pm\sqrt{3}i$

ចម្លើយផ្សេងពីនេះ

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

គេមានសមីការ $x^2+x-2=0$ ។ ចម្លើយនៃសមីការនេះគឺ

$x=1,x=2$

$x=1,x=-2$

$x=-1,x=-2$

$x=-\frac{1}{2},x=2$

ចម្លើយផ្សេងពីនេះ

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

កំណត់សមីការបន្ទាត់ L ដែលកាត់តាមចំណុច $A\left(-2,3\right)$ និង $B\left(-1,2\right)$ ។ ចម្លើយគឺ៖

$y=x+1$

$y=-x-1$

$y=-x+1$

$y=-x$

ចម្លើយផ្សេងពីនេះ

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

ដោះស្រាយវិសមីការ $2x^{2\ }-7x+3>0$ ។

$x\in\left(-\infty,\frac{1}{2}\right)\cup\left(3,+\infty\right)$

$x\in\left(-\infty,\frac{1}{2}\right]\cup\left[3,+\infty\right]$

$x\in\left(-\infty,-\frac{1}{2}\right)\cup\left(-3,+\infty\right)$

$x\in\left(-\infty,\frac{1}{2}\right]\cup\left(3,+\infty\right)$

ចម្លើយផ្សេងពីនេះ

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

រកចម្ងាយរវាងពីរចំណុច $P\left(-2,1\right)$ និង $Q\left(1,3\right)$ នៅក្នុងប្លង់កូអរដោនេ។

$13$

$\frac{13}{2}$

$\frac{\sqrt{13}}{13}$

$\sqrt{13}$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

ក្នុងតម្រុយកូអរដោនេមាន $M\left(1,6\right),N\left(6,1\right),NP=8,\angle L=120^o$ ។ គណនា $MP$ និងរង្វាស់មុំ $\angle P$ ។ (គន្លឹះ៖ ប្រើទ្រឹស្ដីបទកូស៊ីនុស)

$MP=13\ \ ,\ \angle P\approx27^o$

$MP=13\ \ ,\ \angle P\approx88^o$

$MP=13\ \ ,\ \angle P\approx28^o$

$MP=13\ \ ,\ \angle P\approx30^o$

ចម្លើយផ្សេងពីនេះ

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

ក្នុងតម្រុយកូអរដោនេ $\left(xOy\right)$ គេឱ្យចំណុច $A\left(5,12\right)\ \ ,\ A'\left(8,8\right)$ ។ គណនាផ្ទៃក្រឡាត្រីកោណ $OAA'$ ។

$25$

$28$

$9+4\sqrt{2}$

$\sqrt{29}$

ចម្លើយផ្សេងពីនេះ

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

ចូររកមេគុណនៃ $x^3$ នៃការពន្លាតទ្វេធា $\left(1+2x\right)^5$ ។

$32$

$40$

$72$

$80$

ចម្លើយផ្សេងពីនេះ

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

គេមានចំណុច $A\left(-2,1\right),B\left(3,4\right)$ ។ គណនាប្រវែង $\left|\overrightarrow{AB}\right|$ ។

$\sqrt{34}$

$34$

$\frac{\sqrt{34}}{34}$

$\sqrt{10}$

ចម្លើយផ្សេងពីនេះ

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តេស្តគណិតវិទ្យាថ្នាក់ទី១០

គេមានសមីការ x2+x+1=0x^2+x+1=0x2+x+1=0 ។ ចម្លើយនៃសមីការនេះគឺ

គេមានសមីការ x2+x−2=0x^2+x-2=0x2+x−2=0 ។ ចម្លើយនៃសមីការនេះគឺ

កំណត់សមីការបន្ទាត់ L ដែលកាត់តាមចំណុច A(−2,3)A\left(-2,3\right)A(−2,3) និង B(−1,2)B\left(-1,2\right)B(−1,2) ។ ចម្លើយគឺ៖

ដោះស្រាយវិសមីការ 2x2 −7x+3>02x^{2\ }-7x+3>02x2 −7x+3>0 ។

រកចម្ងាយរវាងពីរចំណុច P(−2,1)P\left(-2,1\right)P(−2,1) និង Q(1,3)Q\left(1,3\right)Q(1,3) នៅក្នុងប្លង់កូអរដោនេ។

ក្នុងតម្រុយកូអរដោនេ (xOy)\left(xOy\right)(xOy) គេឱ្យចំណុច A(5,12) , A′(8,8)A\left(5,12\right)\ \ ,\ A'\left(8,8\right)A(5,12) , A′(8,8) ។ គណនាផ្ទៃក្រឡាត្រីកោណ OAA′OAA'OAA′ ។

ចូររកមេគុណនៃ x3x^3x3 នៃការពន្លាតទ្វេធា (1+2x)5\left(1+2x\right)^5(1+2x)5 ។

គេមានចំណុច A(−2,1),B(3,4)A\left(-2,1\right),B\left(3,4\right)A(−2,1),B(3,4) ។ គណនាប្រវែង ∣AB→∣\left|\overrightarrow{AB}\right|∣∣∣​AB∣∣∣​ ។

រកចំនួនចម្លាស់អក្សរទាំងអស់នៃពាក្យ BATTAMBANG ។

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គេមានសមីការ $x^2+x+1=0$ ។ ចម្លើយនៃសមីការនេះគឺ

គេមានសមីការ $x^2+x-2=0$ ។ ចម្លើយនៃសមីការនេះគឺ

កំណត់សមីការបន្ទាត់ L ដែលកាត់តាមចំណុច $A\left(-2,3\right)$ និង $B\left(-1,2\right)$ ។ ចម្លើយគឺ៖

ដោះស្រាយវិសមីការ $2x^{2\ }-7x+3>0$ ។

រកចម្ងាយរវាងពីរចំណុច $P\left(-2,1\right)$ និង $Q\left(1,3\right)$ នៅក្នុងប្លង់កូអរដោនេ។

ក្នុងតម្រុយកូអរដោនេ $\left(xOy\right)$ គេឱ្យចំណុច $A\left(5,12\right)\ \ ,\ A'\left(8,8\right)$ ។ គណនាផ្ទៃក្រឡាត្រីកោណ $OAA'$ ។

ចូររកមេគុណនៃ $x^3$ នៃការពន្លាតទ្វេធា $\left(1+2x\right)^5$ ។

គេមានចំណុច $A\left(-2,1\right),B\left(3,4\right)$ ។ គណនាប្រវែង $\left|\overrightarrow{AB}\right|$ ។