Divide 2 / 3 and 1 / 3

Divide 2 / 3 and 1 / 3

Divide 2 / 3 and 1 / 3
The denominator itself is the same;
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Divide 2 out of 3, 1 out of 2, 3 out of 5

20/30 15/30 18/30

General score: x + 1 / X-2; X-2 / x + 1

x+1/x-2=(x+1)^2/(x+1)(x-2)
x-2/x+1=(x-2)^2/(x+1)(x-2)

[(x^2+x-1)/(x-1)-1]/[x/(x^2-1)]

[(x^2+x-1)/(x-1)-1]/[x/(x^2-1)] =x^2/(x-1)*(x^2-1)/x =x(x+1) =x^2+x

Given that the plane passes through the point m (2,1, - 5) and is perpendicular to the straight line L; (x + 1) / 3 = () / 2 = Z / - 1, the equation of the plane is obtained
Why can we regard the direction vector of a straight line as the normal vector of a plane? If we regard the equation as the normal vector, we can use the formula to judge the position relationship between a straight line and a plane to prove that the plane equation and the linear equation are parallel

The [normal vector] of a plane is perpendicular to the plane. If the condition is that the line is perpendicular to the plane, then the direction vector of the known line is equal to (or proportional to) the normal vector of the plane. There should be no doubt!
You can know by substituting parallel condition into verification
The obtained plane equation (set as that) must be perpendicular to the known straight line!
If you say parallel, you can show your proof process

The nth power-1 of 2 is a prime number. The nth power-1 of 2 × [nth power-1 of 2] is a complete number. The next complete number after 6 is a prime number

28
Because 2 ^ 3-1 = 7 is prime, 2 ^ 2 * 7 = 28 is perfect
In fact, this can be proved

In the triangular pyramid, the bottom surface ABCD is a square, O is the center, Po ⊥ the bottom surface PACD, e is the midpoint of PC, and the PA ∥ plane BDE, the plane PAC and the vertical plane BDE are calculated

In triangle PAC, OE is the median line, so PA is parallel to OE
So PA is parallel to plane BDE
BD vertical AC BD vertical Po
So BD vertical plane BDE

In the array of natural numbers, what is the natural number directly below 1000? 1 　　2 　　5 　　… 4 　　3 　　6 　　… 9 　　8 　　7 　　……

∵ the number of the first column is & nbsp; 12,22,32 961 = 312 ＜ 1000 ＜ 322 = 1024, the number of 1024-1000 + 1 = 25 from the left of line 32, and the number of 332-25 + 1 = 1065 from the left of line 33 is directly below the number of 1024-1000 + 1 = 25

As shown in the figure, ⊙ o center angle ∠ AOB = 90 °, the distance from point O to chord AB is 4, then the diameter length of ⊙ o is______ ．

As shown in the figure, the crossing point O is OC ⊥ AB, the perpendicular foot is C, ∵ ∠ AOB = 90 °, a = ∠ AOC = 45 °, OC = AC, ∵ co = 4, ∵ AC = 4, ∵ OA = ac2 + CO2 = 42, and the diameter length of ∵ o is 82

0.5x-4×0.25=1.25 32：X=3/5：4/5 （1.5x＋2）×0.5=1.6

0.5x-4 × 0.25 = 1.250.5x - 1 = 1.250.5x = 2.25x = 4.532: x = 3 / 5:4 / 5 32 △ x = 3 / 5 × 5 / 432 △ x = 3 / 4x = 42 and 2 / 3 (1.5x + 2) × 0.5 = 1.6, please! 1.5x + 2 = 1.6 △ 0.51.5x = 16 / 5 - 10 / 5x = 6 / 5 × 2 / 3x = 4 / 5