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Urgent for a master's degree in mathematics. Junior one topic.
1. The midline of the waist of an isosceles triangle divides the circumference of the triangle into two parts: 13.5cm and 1 1.5cm, and calculates the length of each side of the isosceles triangle.

It can be seen from the drawing that the subtraction of the two parts is actually the difference between the bottom edge and the waist AB=AC midline BD.

1。 a b+ AD-DC-BC = 13.5- 1 1.5 = 2

AB-BC=2

Again: AB+AD= 13.5

3/2AB= 13.5

AB=9 AB-CB=2 Know BC=7

2:BC+CD = 13.5 AB+AD = 1 1.5 BC-AB = 2

S So: 3/2AB= 1 1.5。

AB=23/3 BC=29/3

2. The known point m (3,4) is on the line segment MN. The line segment MN is translated by 2 units in the negative direction of the X axis and then by 3 units in the positive direction of the Y axis. At this time, the coordinate of the corresponding point M' is (1, 7) _ _ _ _.

3. If the point P(- 1, 2) is known, the coordinates of the point P relative to the X-axis symmetry point P 1 are _(-2, -2)_, and the coordinates of the point P relative to the Y-axis symmetry point P2 are _( 1, 2)_.

4. In triangle ABC, if a (1, 1), b (- 1,-1), and c (2,-1), the area of triangle ABC is _3__.

5. The sum of the external angles of a triangle is 270, and the difference between their two internal angles is 30, so the three internal angles of this triangle are _ 30 _ _ _, 60 and 90 respectively.

The topic should be the sum of two external angles.

6. If the number of diagonals of a polygon is exactly three times the number of sides of the polygon, the sum of the internal angles of the polygon is _ 1250_____.