It is known that: as shown in the figure, a point P, P1 and P2 in ∠ AOB are respectively symmetrical points about OA and ob. P1p2 intersects OA with m and ob with N. if p1p2 = 5cm, then the perimeter of △ PMN is () A. 3cmB. 4cmC. 5cmD. 6cm

It is known that: as shown in the figure, a point P, P1 and P2 in ∠ AOB are respectively symmetrical points about OA and ob. P1p2 intersects OA with m and ob with N. if p1p2 = 5cm, then the perimeter of △ PMN is () A. 3cmB. 4cmC. 5cmD. 6cm


∵ P and P1 are symmetrical with respect to OA, ∵ OA is the vertical bisector of line segment PP1, ∵ MP = MP1. Similarly, P and P2 are symmetrical with respect to ob, ∵ ob is the vertical bisector of line segment PP2, ∵ NP = NP2, ∵ p1p2 = p1m + Mn + NP2 = MP + Mn + NP = 5cm, then the perimeter of △ PMN is 5cm



As shown in the figure, there is a point P in the angle AOB, which makes the symmetrical points P1 and P2 of P with respect to OA and ob respectively, connecting p1p2 to OA at M and ob at n. when the angle AOB = 25 degrees, calculate the degree of angle p1pp2


The four points of ∵ o, P1, P and P2 are in the same circle, and ∵ p1pp2 = 130 degree



It is known that: as shown in the figure, a point P, P1 and P2 in ∠ AOB are respectively symmetrical points about OA and ob. P1p2 intersects OA with m and ob with N. if p1p2 = 5cm, then the perimeter of △ PMN is ()
A. 3cmB. 4cmC. 5cmD. 6cm


∵ P and P1 are symmetrical with respect to OA, ∵ OA is the vertical bisector of line segment PP1, ∵ MP = MP1. Similarly, P and P2 are symmetrical with respect to ob, ∵ ob is the vertical bisector of line segment PP2, ∵ NP = NP2, ∵ p1p2 = p1m + Mn + NP2 = MP + Mn + NP = 5cm, then the perimeter of △ PMN is 5cm



1 × 1, 2 × 3, 3 × 5, 5 × 8, [] × [], [] × [], multiply by several, find the rule


8x13,13x21
Rabbit series product
Each factor is the sum of the first two factors



Find the rule 1 + 2 + 3 = () multiply () 1 + 2 + 3 + 4 = (() + ()) multiply () 2


1 + 2 + 3 = (2) times (3) 1 + 2 + 3 + 4 = ((2) + (3)) times 2



Solution equation: 4 (x-1) + 6 (3-4x) = 7 (4x-3)


4x-4+18-24x=28x-21 x=35/48



Solving equation: 4 (x-1) + 6 (3-4x) = 7 (4x-3) with two different solutions, which one is easier?


Original formula = 4 (x-1) - 6 (4x-3) = 7 (4x-3) 4 (x-1) = 7 (4x-3) + 6 (4x-3) 4 (x-1) = 13 (4x-3) 4x-4 = 52x-3952x-4x = 39-448x = 35x = 35 / 48 original formula = 4x-4 + 18-24x = 28x-2128x + 24x-4x = 18-4 + 2148x = 35x = 35 / 48 the first solution is simpler



Solving the equation 3 / 4x = X-1 / 2 is not much negative!


3/4X=X-1/2
Solution 3 / 4x-x = - 1 / 2
-1/4x=-1/2
x=-1/2*(-4)
x=2



5 * x = 10.5


3.5x=10.5
x=10.5÷3.5
x=3



How to solve the equation of 1.9x + 0.4x = 9.2


1.9x+0.4x=9.2
2.3x=9.2
x=4