1.1 Math Workbooks Page 10 12 Advanced Analytical Solution Like?
C determine the parabola y = x2 (x average) so that the tangent at the song with the line AB: y = x +2
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xác định C thuộc parabol y=x2 ( x bình) sao cho tiếp tuyến tại Cống song với đường thẳng AB: y=x+2
-Anonymous
C thuộc P => C(a;a^2) ( a là hoành độ của C)
đường thẳng (d) // với AB có phương trình là: y = x + b ( có hệ số góc = 1)
C(a;a^2) thuộc (d) => a^2 = a +b => b = a^2 - a
=> PTĐT (d) qua C là: y = x + a^2 - a
(d) là tiếp tuyến với (P) khi:
{x^2 = x + a^2 - a
{2x = 1 <=> x = 1/2
=> 1/4 = 1/2 + a^2 - a => a^2 - a + 1/4 = 0 <=> (a - 1/2)^2 = 0
=> a = 1/2
=> C(1/2; 1/4)
-Anonymous
đường thẳng (d) // với AB có phương trình là: y = x + b ( có hệ số góc = 1)
C(a;a^2) thuộc (d) => a^2 = a +b => b = a^2 - a
=> PTĐT (d) qua C là: y = x + a^2 - a
(d) là tiếp tuyến với (P) khi:
{x^2 = x + a^2 - a
{2x = 1 <=> x = 1/2
=> 1/4 = 1/2 + a^2 - a => a^2 - a + 1/4 = 0 <=> (a - 1/2)^2 = 0
=> a = 1/2
=> C(1/2; 1/4)
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