Given that circle O1 and circle O2 are inscribed at point a, the chord ab of circle O1 intersects with circle O2 at point C, the ratio of radius of circle O1 to circle O2 is 2:3, ab = 12 emergency

Given that circle O1 and circle O2 are inscribed at point a, the chord ab of circle O1 intersects with circle O2 at point C, the ratio of radius of circle O1 to circle O2 is 2:3, ab = 12 emergency

If CO2 and Bo1 are connected, then
CO2 = AO2, Bo1 = AO1, i.e
AO2/AO1=CO2/BO1
CO2//BO1
AC/AB=AO2/AO1=2/3
AC=2AB/3=8
BC=AB-AC=12-8=4

It is known that the distance between the centers of two circles O1 and O2 is 6cm, and the radius of O1 is 2cm (1) O 1 and O 2 exo; (2) O 1 and O 2 endo

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As shown in the figure, ⊙ O1 and ⊙ O2 intersect at points a and B. if the radii of the two circles are 12 and 5 respectively, O1O2 = 13, find the length of ab

120/13

If the radii of the two circles are 12 and 5 respectively, O1O2 = 13, find the length of ab

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Because P is the intersection point of circle O1 and O2, AB and PC are vertical, so the three points of AO1 m are on a straight line, and the three points of B O2 n are on a straight line. 2. The parallel line of PC passing through O1 intersects AP and X, because AO1 = mo1, ax = XP 3, parallel line of PC crossing through O2 intersects Pb at y, because Bo2 = NO2, so

Given that the radius of ⊙ O1 is 3cm, the radius r of ⊙ O2 is 4cm, and the distance between the centers of two circles O1O2 is 1cm, then the position relationship between the two circles is that () (a) intersects (b) contains (c) inscribed (d) circumscribed

B

The radius of circle O1 is 5 and the radius of circle O2 is 1. If O1O2 = 8, the length of the outer common tangent of these two circles is () A. 4 B. 4 Two C. 4 Three D. 6

∵ the radius of circle O1 is 5, and the radius of circle O2 is 1, if O1O2 = 8,
The length of the male tangent is:
82+(5−1)2=
48=4
3，
Therefore, C

Given that P (T, t), t ∈ R, point m is a moving point on circle O1: x ^ 2 + (Y-1) ^ 2 = 1 / 4, and point n is a moving point on circle O2: (X-2) ^ 2 + y ^ 2 = 1 / 4, then the maximum value of | PN | - | PM |

The intersection point of the connecting line between the center of two circles and y = x is p

Circle O1 and circle O2 are circumscribed at a, PM and PN are cut into two circles respectively in B, C and D, e. if MPN = 60 °, how many radii of circle O1 and circle O2 are compared? Why?

Let the radius of circle O1 and circle O2 be r, R, respectively
Connection o1p
∠ bpo1 = 60 / 2 = 30 degrees
Connect o1b.o2c
PCO2 = 90 degree
Let pq2 = a
that
In RT △ pbo1
2R=(R+r+a）
In the same way
2r=a
2R=R+r+2r
R=3r
R/r=3/1

It is known that ⊙ O1 and ⊙ O2 intersect at m, N, the radius is 5cm and 3cm, and the common chord is 2cm

AB = under root sign (28 + 16 root sign 3)