How to prove that the arcs of two equal strings are equal
Because the radius of the circle is equal everywhere, we can prove the congruence of the triangles where two strings want to be equal according to "SSS". In this way, the center angles of the two equal strings are equal, and the arcs of the two strings are equal!
RELATED INFORMATIONS
- 1. The two arcs of the same string must be equal As above
- 2. In the same circle or equal circle, the arcs and chords opposite by equal circle angles are not equal There is another question: why is the degree of the arc equal to that of the central angle? Is the degree of an arc equal to that of a circle?
- 3. It is proved that the arcs added by two parallel strings of a circle are equal
- 4. If the parabola y = 2x2-4x-5 is translated 3 units to the left and 2 units to the upper, the parabola C is obtained, then the analytical formula of parabola c about Y-axis symmetry is______ .
- 5. Given the parabola y = 2 (K + 1) x2 + 4kx + 2k-3, when we find out the value of K, the two intersections of the parabola and X axis are located on both sides of the origin? Answer x1x2
- 6. It is known that the two different intersections of the parabola y = AX2 + 2x + C and X-axis are on the right side of the origin, then the point m (a, c) is on the second side___ &Quadrant
- 7. If the parabola y = - x ^ 2 + 2 (k-1) x + 2k-k ^ 2 passes through the origin and opens downward, find: 1 the analytic expression of quadratic function 2. The area of triangle formed by intersection A.B and vertex C of X axis
- 8. Find the solution of parabola y = 2x square - 4x + 5 about X axis, Y axis, origin, vertex symmetry
- 9. What is the length of the line segment cut by the square of the parabola y = x
- 10. What is the length of the line cut by the square of the parabola y = 2x + 5x-3 on the x-axis?
- 11. If the two strings of a circle are parallel to each other, are the arcs between the two strings equal?
- 12. As shown in the figure, the parabola y = - X & # 178; + 2 (k-1) x + K + 1 intersects the X axis at two points a and B, and intersects the Y axis at point C. the length ratio of line OA to ob is 1:3 (1) Finding the analytic formula of parabola and the coordinates of two points a and B (2) The circle d with diameter AB intersects with the positive half axis of Y axis at point e. the tangent line of circle D is made through e, and the X axis intersects with point F. the coordinates of point F are calculated AB is on the opposite side of Y axis
- 13. A straight line with a slope of 1 intersects with a parabola y2 = 2x at two different points a and B. find the trajectory equation of the midpoint m of the line ab
- 14. It is known that the square of a straight line passing through point P (2,0) with a slope of 4 / 3 and a parabola y = 2x intersect at two points a and B. let the midpoint of line AB be M. Find the coordinates of point M. how to teach the students this problem, The answer seems to be m (41 / 16,3 / 4). How can I tell the students?
- 15. If we know that the square + (m-1) x + (m-2) of the parabola y = x intersects with the x-axis and two points a and B, and ab = 2, then what is m?
- 16. If the parabola C1C2 is symmetric about the Y-axis and the parabola C1: y = x ^ 2-3x + 2, then the analytical expression of the parabola C2 is
- 17. It is known that two parabola C1: y = x squared-4 and C2: y = x squared-2ax + B {a, B are constants} and The x-axis intersects at A1, B1 and A2, B2. The vertices are Q1 and Q2 respectively. It is known that the point P (a, b) is on the parabola C1 Try to explain the position relationship between two parabolas Judging the shape of quadrilateral a1q1q2a2 I hope I can help you. I really don't have any points now. I'm sorry
- 18. The vertex of parabola y = x2 + 3x is in () A. First quadrant B. second quadrant C. third quadrant D. fourth quadrant
- 19. If the line y = 3x + m passes through the first, third and fourth quadrants, then the vertex of the parabola y = (x-m) 2 + 1 must be at () A. First quadrant B. second quadrant C. third quadrant D. fourth quadrant
- 20. Translate the parabola y = ax (a ≠ 0) upward by three units, so that the length of its segment on the x-axis is 4, and find the value of A