Given that four points a, B, C and D are on the straight line L, ab = 10cm, CD = 4cm, and points m and N are the midpoint of AC and BD respectively, the length of segment Mn is calculated I'm in a hurry, By 20 o'clock today A total of 10 cases Please list them one by one DC = CD, so there are many cases I know the answer, To write a little paper, ..... And please use easy to understand language to answer,,,,,,

Let a, B, C, D coordinate be a, B, C, D, then | A-B | = 10; | C-D | = 4; so A-B = 10 or - 10c-d = 4 or - 4; m, n coordinate be m, n then M = (a + C) / 2; n = (B + D) / 2; Mn = | M-N | = | a + c-b-d | / 21 > when A-B = 10, C-D = 4Mn = 72 > when A-B = - 10, C-D = 4Mn = 33 > when A-B = 10, C-D = - 4Mn = 34 > when a -

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1. If M is the midpoint of AC, n is the midpoint of BC, and ab = 10cm, the length of Mn is obtained
2. As shown in the figure, the line AB = 10cm, the point C is any point on AB, the point m is the midpoint of AC, and the point n is the midpoint of CB
3. As shown in Figure 5, point C is the point on line AB, point m is the midpoint of line AC, and point n is the midpoint of line BC. (2) AC: CB = 3:2, Mn = 10cm, Find the length of am A----M----C--N--B
4. As shown in the figure, point C is on line AB, and points m and N are the midpoint of AC and BC respectively. (1) if AC = 8cm and CB = 6cm, find the length of line Mn; (2) if C is a line As shown in the figure, point C is on line AB, and points m and N are the midpoint of AC and BC respectively (1) If AC = 8cm, CB = 6cm, find the length of line Mn; (2) Can you guess the length of Mn if C is any point of AB, AC + CB = A and other conditions remain unchanged;
5. 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
6. 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,
7. 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
8. 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
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10. 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!
11. As shown in the figure, line AB = 8cm, C is the point on line AB, AC = 3.2cm, M is the midpoint of AB, n is the midpoint of AC. (1) find the length of line cm; (2) find the length of line Mn
12. As shown in the figure, line BD = 1 / 3AB = 1 / 4CD, points m and N are the midpoint of line AB and CD respectively, and Mn = 20cm |------|--|----|----|---------| A M D B N C
13. As shown in the figure, ab = CD, CB = 1 / 3AB, points m and N are the midpoint of AB and CD respectively, and Mn = 8cm Anyway, there are two answers. What should I do In silence
14. As shown in the figure, line BD equals one third AB equals one fourth CD, points m and N are the midpoint of line AB and CD respectively, and Mn equals 20 cm, so find the length of AC
15. As shown in the figure, take a point D on AB, take a point C on the extension line of AB, so that BD = 1 / 3AB = 1 / 4bc, and the midpoint of line AB and BC are m, n respectively, Mn = 7cm, Finding the length of line AB, CD
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