Cho ba điểm A,B,C không thẳng hàng. Qua A kẻ đường thẳng n song song với đường thẳng BC. Qua C kẻ đường thẳng m song song với đường thẳng AB. Hỏi số giao điểm tạo bởi 4 đưởng thẳng m,n,AB,BC là bao nhiêu?
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Vì 124+128=252>238
nên số chỗ ngồi trong rạp chiếu không đủ cho cả hai khối 4 và 5 cùng xem phim một lúc
Bài 2:
1:
ĐKXĐ: x<>0
\(\dfrac{3x^3-4x^2+6x}{3x}\)
\(=\dfrac{3x^3}{3x}-\dfrac{4x^2}{3x}+\dfrac{6x}{3x}\)
\(=x^2-\dfrac{4}{3}x+2\)
2:
ĐKXĐ: x<>0
\(\dfrac{5x^4-3x^3+x^2}{3x^2}\)
\(=\dfrac{5x^4}{3x^2}-\dfrac{3x^3}{3x^2}+\dfrac{x^2}{3x^2}\)
\(=\dfrac{5}{3}x^2-x+\dfrac{1}{3}\)
3:
ĐKXĐ: x<>0
\(\dfrac{6x^5+4x^3-8x^2}{2x^2}\)
\(=\dfrac{6x^5}{2x^2}+\dfrac{4x^3}{2x^2}-\dfrac{8x^2}{2x^2}\)
\(=3x^3+2x-4\)
4:
ĐKXĐ: x<>0
\(\dfrac{-2x^5+3x^2-4x^3}{2x^2}\)
\(=-\dfrac{2x^5}{2x^2}+\dfrac{3x^2}{2x^2}-\dfrac{4x^3}{2x^2}\)
\(=-x^3+\dfrac{3}{2}-\dfrac{4}{3}x\)
5:
ĐKXĐ: x<>0
\(\dfrac{25x^5-5x^4+10x^2}{5x^2}\)
\(=\dfrac{25x^5}{5x^2}-\dfrac{5x^4}{5x^2}+\dfrac{10x^2}{5x^2}\)
\(=5x^3-x^2+2\)
6:
ĐKXĐ: x<>0
\(\dfrac{20x^6-5x^5+15x^4}{-3x^3}\)
\(=-\dfrac{20}{3}x^6:x^3+\dfrac{5x^5}{3x^3}-\dfrac{15x^4}{3x^3}\)
\(=-\dfrac{20}{3}x^3+\dfrac{5}{3}x^2-5x\)
7:
ĐKXĐ: x<>0
\(\dfrac{15x^7-25x^5+21x^3}{-5x^2}\)
\(=-\dfrac{15x^7}{5x^2}+\dfrac{25x^5}{5x^2}-\dfrac{21x^3}{5x^2}\)
\(=-3x^5+5x^3-\dfrac{21}{5}x\)
8:
ĐKXĐ: x<>0
\(\dfrac{-6x^8+14x^6-20x^4}{-4x^4}\)
\(=\dfrac{6x^8}{4x^4}-\dfrac{14x^6}{4x^4}+\dfrac{20x^4}{4x^4}\)
\(=\dfrac{3}{2}x^4-\dfrac{7}{2}x^2+5\)
9:
ĐKXĐ: x<>0
\(\dfrac{4x^5-3x^4+7x^2+6x}{-3x}\)
\(=-\dfrac{4x^5}{3x}+\dfrac{3x^4}{3x}-\dfrac{7x^2}{3x}-\dfrac{6x}{3x}\)
\(=-\dfrac{4}{3}x^4+x^3-\dfrac{7}{3}x-2\)
10:
ĐKXĐ: x<>0
\(\dfrac{-12x^6-7x^4-4x^3+2x^2}{-4x^2}\)
\(=\dfrac{12x^6}{4x^2}+\dfrac{7x^4}{4x^2}+\dfrac{4x^3}{4x^2}-\dfrac{2x^2}{4x^2}\)
\(=3x^4+\dfrac{7}{4}x^2+x-\dfrac{1}{2}\)
1: \(D=3^0+3^1+...+3^{302}\)
=>\(3D=3+3^2+...+3^{303}\)
=>\(3D-D=3+3^2+...+3^{303}-3^0-3^1-...-3^{202}\)
=>\(2D=3^{303}-1\)
=>\(2D+1=3^{303}\)
=>\(27n=3^{303}\)
=>\(n=3^{300}\)
1)\(D=3^0+3^1+...+3^{302}\)
\(\Rightarrow3D=3\left(1+3+3^2+...+3^{302}\right)\)
\(\Rightarrow3D=3+3^2+3^3+...+3^{302}+3^{303}\)
\(\Rightarrow3D-D=\left(3+3^2+3^3+...+3^{303}\right)-\left(3^0+3^1+...+3^{302}\right)\)
\(\Rightarrow2D=3^{303}-3^0\)
\(\Rightarrow2D=3^{303}-1\)
\(\Rightarrow2D-1=3^{303}\)
\(Do3^{303}=\left(3^3\right)^{101}=27^{101}\)
\(\Rightarrow2D+1=27^{101}=27^n\)
\(\Rightarrow n=101\)
12,48 ... = ... Cm2
51265dm3=51,265m3
0,123m3=123000cm3
4 giờ 27 phút = 4,45 giờ
\(51265dm^3=51,265m^3\)
\(0,123m^3=123000cm^3\)
4 giờ 27 phút=4,45 giờ
\(\dfrac{1}{6}=\dfrac{1\cdot5}{5\cdot6}=\dfrac{5}{30};\dfrac{2}{5}=\dfrac{2\cdot6}{5\cdot6}=\dfrac{12}{30}\)
=>Lớp 4A có ít nhất 30 bạn
a: \(\dfrac{3}{5}=\dfrac{3\cdot3}{5\cdot3}=\dfrac{9}{15};\dfrac{7}{15}=\dfrac{7\cdot1}{15\cdot1}=\dfrac{7}{15}\)
b: \(\dfrac{4}{9}=\dfrac{4\cdot8}{9\cdot8}=\dfrac{32}{72};\dfrac{11}{8}=\dfrac{11\cdot9}{8\cdot9}=\dfrac{99}{72};\dfrac{5}{6}=\dfrac{5\cdot12}{6\cdot12}=\dfrac{60}{72}\)
c: \(\dfrac{1}{3}=\dfrac{1\cdot8}{3\cdot8}=\dfrac{8}{24};\dfrac{3}{4}=\dfrac{3\cdot6}{4\cdot6}=\dfrac{18}{24};\dfrac{13}{24}=\dfrac{13\cdot1}{24\cdot1}=\dfrac{13}{24}\)
\(\dfrac{5}{8}=\dfrac{5\cdot3}{8\cdot3}=\dfrac{15}{24}\)
d: \(\dfrac{4}{7}=\dfrac{4\cdot4}{7\cdot4}=\dfrac{16}{28};\dfrac{3}{2}=\dfrac{3\cdot14}{2\cdot14}=\dfrac{42}{28}\)
\(\dfrac{5}{14}=\dfrac{5\cdot2}{14\cdot2}=\dfrac{10}{28};\dfrac{15}{28}=\dfrac{15\cdot1}{28\cdot1}=\dfrac{15}{28}\)
\(79\cdot526+21\cdot218+79\cdot474+21\cdot782\)
\(=79\left(526+474\right)+21\left(218+782\right)\)
\(=79\cdot1000+21\cdot1000=1000\cdot100=100000\)
79 x 526 + 21 x 218 + 79 x 474 + 21 x 782
=79 x (526 + 474) + 21 x (218 + 782)
=79 x 1000 + 21 x 1000
=1000 x (79 + 21)
=1000 x 100
=100000
Có 4 giao điểm