![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
As shown in the figure: points a and B are on the straight line Mn, ab = 11 cm, circle a, and the radius of circle B is 1 cm. Circle a moves from left to right at the speed of 2 cm per second. At the same time, the radius of circle B is also increasing. The relationship between radius R (CM) and time t (s) is r = 1 + T (t ≥ 0
T = 1, a moves forward, 2T = 2cm, B is fixed, at this time, the distance between a and B is d = 11-2 = 9; x0dt = 2, a moves forward, 2T = 4cm, B is fixed, at this time, the distance between a and B is d = 11-4 = 7; x0dt = 3, a moves forward, 2T = 6cm, B is fixed, at this time, the distance between a and B is d = 11-6 = 5; x0d distance is positive, so, The functional relationship between D (CM) and time t (s) is: D = | 11-2t | (t ≥ 0). ⊙ of course, there are only two cases of inscribed and circumscribed, but ⊙ a can be circumscribed on the left and right sides of ⊙ B, or on the left and right sides of ⊙ B, so there are four cases in reality, The equation: T + 2 = | 11-2t | (t ≥ 0) is obtained from the functional formula d = | 11-2t |, and T = 3 or 13 is obtained; when x0d is inscribed, the distance between a and B D = ⊙ radius of B - ⊙ radius of a = t + 1-1 = t, and the equation: T = | 11-2t | (t ≥ 0) is obtained from the functional formula d = | 11-2t |, and T = 11 / 3 or 11 is obtained;
RELATED INFORMATIONS
- 1. As shown in the figure, point AB is on the straight line Mn, ab = 13, circle a, radius of circle B is 1, circle a moves from left to right along the straight line Mn at the speed of 3 per second, in the process of circle a's movement, its radius is 1 At the same time, circle B moves along the straight line Mn from right to left at the speed of 1 per second, and its radius remains the same. (1) try to write the functional relationship between the distance d between points AB and time T. (2) how long does circle a and circle B move and how many times are two circles tangent
- 2. When the diameter of ⊙ o is 10cm, the chord AB / / CD, and ab = 8cm, CD = cm, the distance between the chord AB and CD is
- 3. P is a certain point on the fixed length line ab. it is known that ab = 30cm. C and d start from P and B and move to the left along the line AB at the speed of 1cm / s and 2cm / s respectively (C is on the line AP and D is on the line BP). 1. In the process of movement, there is always PD = 2Ac. Please explain the position of P on the line ab
- 4. As shown in the figure, D is the midpoint of CB, AC is 1:6 than CB, and DB is 12cm
- 5. As shown in the figure, D is the midpoint of CB, AC: CB = 1:6, DB = 12cm, find the length of AD |_____ |______ |______ | A C D B
- 6. As shown in the figure, the common part of AB and CD is BD, and BD: ab: CD = 1:3:5, EF is the midpoint of AD and CB respectively, EF = 12cm, find the length of AB and CD
- 7. As shown in the figure, the quadrilateral ABCD is a parallelogram, DB ⊥ ad, ad = 8cm, BD = 12cm, find the length of BC and AC Please think for yourself, I can't upload the picture
- 8. As shown in the figure, two points B and C divide the line ad into three parts: 2:3:4. E is the midpoint of the line ad, CD = 12cm, and find the length of CE
- 9. It is known that there are two points c and D on the line AB, and AC: CD: DB = 2:3:4 EF = 2.4cm, e and F are the midpoint of AC and DB respectively, and the length of AB is calculated
- 10. M and N are the two points on the line EF. It is known that EA: ab: BF = 1:2:3, m and N are the midpoint of EA and BF respectively, and Mn = 8cm Write out the problem-solving process of geometry
- 11. As shown in the figure, points a and B are on the straight line Mn, ab = 11cm, the radii of ⊙ A and ⊙ B are 1cm, and ⊙ a moves at a speed of 2cm per second As shown in the figure, points a and B are on the straight line Mn, ab = 11cm, and the radii of ⊙ A and ⊙ B are all 1cm. ⊙ a moves from left to right at the speed of 2cm per second. At the same time, the radius of ⊙ B is also increasing. The relationship between the radius R (CM) and time t (s) is r = 1 + T (t ≥ 0) (1) Try to write out the functional expression between the distance D (CM) between points a and B and the time t (s); (2) How many seconds after point a starts, the two circles are tangent?
- 12. As shown in the figure, point AB is on the straight line Mn, ab = 11cm, and the radius of circle a and circle B is 1cm
- 13. Points a and B are on the straight line Mn, ab = 11 cm, circle a moves from left to right at the speed of 2 cm per second, and at the same time, the radius of circle B increases, its radius is r cm, and the relationship between the radius and time t is r = 1 + T (T > 0) Wen: how many seconds after point a starts, the two elements are tangent The radius of circle a and B is 1 cm
- 14. It is known that: as shown in Figure 1, M is a certain point on the fixed length line AB, C and D respectively start from m and B and move to the left along the straight line BA at the speed of 1cm / s and 3cm / s, and the direction of motion is shown by the arrow (C is on the line am, D is on the line BM) (1) If AB = 10cm, when points c and d move for 2S, find the value of AC + MD. (2) if points c and d move, there is always MD = 3aC, fill in the blank directly: am=______ Ab. (3) under the condition of (2), where n is a point on the line AB and an-bn = Mn, the value of mnab is obtained
- 15. As shown in the figure, P is the point on the fixed length line AB, and C and D respectively start from P and B and move to the left along the line AB at the speed of 1cm and 2cm per second. C is on the line AP D is on line BP (1) What is the quantitative relationship between the length of BD and PC? Explain the reason (2) If C and d move to any time, there will always be PD = 2Ac, please explain the position of point P on line AB! Figure: a -------- C --- P -------- D -------- B 20: 30, plus points!
- 16. As shown in the figure, P is the point on the fixed length line AB, C and d start from P and B respectively and move to the left along the straight line AB at the speed of 1cm / s and 2cm / s, C is on the line AP, (C is on the line AP, D is on the line BP) when C and d move to any time, there is always PD = 2Ac, then AP / AB equals () a.1/2 b.1/3 c.1/4 d.1/5. (2) under the condition of (1), q is a point on the line AB, and aq-bq = PQ, find the value of PQ / ab
- 17. As shown in the figure, P is the point on the fixed length line AB, and C and d start from P and B respectively along the straight line AB at the speed of 1cm / s and 2cm / s
- 18. As shown in the figure, P is the point on the fixed length line AB, and C and D respectively start from P and B and move to the left along the straight line AB at the speed of 1cm / s and 2cm / S (C is on the line AP) As shown in the figure, P is the point on the fixed length line AB, and C and D respectively start from P and B and move to the left along the line AB at the speed of 1cm / s and 2cm / S (C is on the line AP and D is on the line BP) (3) Under the condition of (1), if CD = 1 / 2Ab happens to exist after C and d move for 5 seconds, then point C stops moving and point d continues to move (point D is on line Pb), and m and N are the midpoint of CD and PD respectively. This paper attempts to explore the quantitative relationship between line Mn and AB, and gives a conclusion and reasons
- 19. As shown in the figure, point P is the point on the fixed length line AB, and points c and D respectively start from P and B and move to the left along the straight line AB at the speed of 1cm / s and 2cm / s As shown in the figure, P is the point on the fixed length line AB, and C and D respectively start from P and B and move to the left along the line AB at the speed of 1cm / s and 2cm / S (C is on the line AP and D is on the line BP) (1) If C and d move to any moment, there is always PD = 2Ac and ab = 6 Quick, quick,
- 20. As shown in the figure, P is the point on the fixed length line AB, and C and D respectively start from P and B and move to the left along the straight line AB at the speed of 1cm / s and 2cm / S (C is on the line AP and D is on the line BP) (2) under the condition of (1), q is the point on the straight line AB, and aq-bq = PQ, calculate the value of pqab. (3) under the condition of (1), if there is CD = 12ab after 5 seconds of C and D movement, then point C stops moving and point D stops moving Continue to move (point D is on line Pb), m and N are the midpoint of CD and PD respectively. The following conclusions can be drawn: (1) the value of pm-pn remains unchanged; (2) the value of mnab remains unchanged, which means that only one conclusion is correct. Please find out the correct conclusion and evaluate it (1) If there is always PD = 2Ac when C and d move to any time, please indicate the position of P on line ab