The analytical expression of the straight line y = 3x + 1 is obtained by translating 2 units to the right and 3 units to the down______ .
∵is obtained by translation, ∵ let the analytic formula of the new line be y = 3x + B, ∵ the original line passes through the point (0, 1), ∵ the point obtained by translating 2 units to the right and then 3 units to the down is (2, - 2). Substituting it into the analytic formula of the new line, we can get: B = - 8, ∵ the analytic formula of the new line is: y = 3x-8
RELATED INFORMATIONS
- 1. The analytic expression of the straight line y = - 3x + 1 is obtained by moving up one unit, and then moving right three units
- 2. Given that the line y = 3x + 1, translate the line up two units along the y-axis, and then to the right three units, and find the analytical expression of the line after two times of translation
- 3. In the plane rectangular coordinate system, it is necessary for the line y = 2x to move 3 units to the left
- 4. In the plane rectangular coordinate system, e. f starts from point O, and moves along the positive direction of x-axis at the speed of 1 unit / s, while f moves along the positive direction of y-axis at the speed of 2 units / s, and does not (4,2) make a circle with be as the diameter (1) If e and f start at the same time, let EF and ab compare with G, which is to judge the position relationship between G and circle, and prove that (2) Under the condition of (1), when FB is connected, B is tangent to the circle for a few seconds
- 5. In the circle O, M is the middle point of the chord AB, passing through the point B as the tangent of the circle O, and intersecting with the extension line of OM at the point C. proof 1: angle a = angle C. If OA = 5, OB = 8, find OC
- 6. Given the radius of ⊙ o OA = 5, the chord center distance OC of chord AB = 3, then AB = () A. 4B. 6C. 8D. 10
- 7. OC in circle O is perpendicular to ab AB = 16 sinaoc = 3 / 5 calculate radius OA of circle O and chord center distance OC calculate cosaoc tanaoc
- 8. The diameter of the circle O of BD, OA perpendicular to ob, M is a point on the inferior arc AB, the tangent MP of the circle O crosses through point m, the extension line of OA intersects at point P, and the intersection of MD and OA intersects at point n 1. Verify PM = PN. 2. If BD = 4, PA = two-thirds Ao, make BC ∥ MP through point B, intersect circle O at point C, and find the length of BC.
- 9. As shown in the figure, it is known that in RT △ ABC, the radius of the inscribed circle is 3cm and the radius of the circumscribed circle is 12.5cm, so the three sides of △ ABC can be calculated
- 10. As shown in the figure, circle O is the inscribed circle of triangle ABC, and the tangent points are D, e, F. the known angles BCA = 90 degrees, ad = 5cm, DB = 3cm. Find the area of triangle ABC D is on AB, e is on BC, f is on AC
- 11. First, the point P (- 2,1) is translated one length unit to the left, and then two length units to the up to get the point P, then the coordinate of P is
- 12. In a plane rectangular coordinate system, given points a (- 4,0), B (0,2), now translate line AB to the right, so that a coincides with coordinate 0, then the coordinate of B after translation is___
- 13. In the plane rectangular coordinate system, given the points a (4,5) and B (4,1), translate the line AB to the right by 5 length units (1) Try to find the area swept by line ab (2) Change the line AB to the broken line ACB, the coordinates of points a and B remain unchanged, C is (2,2), and try to find the area swept by the broken line (3) If the coordinates of points a and B remain unchanged and the coordinates of point C are changed to (1,3), does the area swept by the broken line change? (4) If the coordinates of points a and B remain unchanged and the broken line ACB is changed into a curve, does the area swept by the curve change?
- 14. The analytical expression of the straight line obtained by translating the straight line y = - 2x upward by 2 units is______ .
- 15. In the plane rectangular coordinate system, after translating the line y = 2x-1 upward by 4 length units, what is the analytical formula of the line
- 16. In the plane rectangular coordinate system, after translating the line y = - 2x + 3 downward by 2 units, its analytical formula is
- 17. In the plane rectangular coordinate system, after translating the line y = - 2x + 1 down four unit lengths, the analytical expression of the line is______ .
- 18. Change the following complex numbers to polar formula 2 (COS π / 4 + isin π / 4) 2 (COS 2 π / 3 + isin 2 π / 3) / 8 (COS π / 4-isin π / 4)
- 19. Conjugate complex of complex number - I (COS α + isin α)
- 20. Sin Z + cos z = 0 all solutions Z are complex