In the plane rectangular coordinate system, the known points a (- 3,0), B (0, - 4), C (0,1) pass through point C and make the intersection axis of the line at point D, so that points D, C, O In the plane rectangular coordinate system, known points a (- 3,0), B (0, - 4), C (0,1) pass through point C and make the intersection axis of the line at point D, so that the triangle with points D, C, O as the vertex is similar to △ AOB, such a line can make () A. One B. two C. four D. eight

In the plane rectangular coordinate system, the known points a (- 3,0), B (0, - 4), C (0,1) pass through point C and make the intersection axis of the line at point D, so that points D, C, O In the plane rectangular coordinate system, known points a (- 3,0), B (0, - 4), C (0,1) pass through point C and make the intersection axis of the line at point D, so that the triangle with points D, C, O as the vertex is similar to △ AOB, such a line can make () A. One B. two C. four D. eight

C. Four!
The coordinates of point D are (- 4 / 3,0), (- 3 / 4,0), (4 / 3,0), (3 / 4,0)

In the plane rectangular coordinate system, the three vertex coordinates of △ ABC are a (1,1) B (3,1) C (2,1). Please judge the shape of △ ABC and explain the reason
C (2,2) is not (2,1)

A(1,1) B(3,1) C(2,2)
AB=2
AC=√2
BC=√2
First, AC = BC is an isosceles triangle
Again, AC ^ 2 + BC ^ 2 = AB ^ 2 is a right triangle
So the triangle is an isosceles right triangle

In the plane rectangular coordinate system, points a (- 1, - 2), B (2,3), C (- 2-1) are known
Find the length of the diagonal of the parallelogram with the line AB AC as the adjacent side;
Let the real number t satisfy (vector AB TOC) × OC = 0, and find the value of T

① Let the parallelogram be ABCD, the diagonal be BC and ad. if vector a (- 1, - 2), B (2,3) is known, then vector AB = (3,5), vector CD = vector AB = (3,5) and D coordinate be (1,4), then vector ad = (2,6), vector CB = (4,4) ad = 2 √ 10, BC = 4 √ 2

As shown in the figure, in the plane rectangular coordinate system, three points a (0, a), B (B, 0), C (B, c) are known, where a, B, C satisfy the relation
As shown in the figure, in the plane rectangular coordinate system, three points a (0, a), B (B, 0) and C (B, c) are known, where a, B and C satisfy the relation | A-2 | + (B-3) square = 0, and the square of C-4 is less than or equal to zero
(1) Find the value of ABC,
(2) If there is a point P (m, half) in the second quadrant, please use the formula containing m to express the area of the quadrilateral abop;
(3) Under the condition of (2), is there a point P such that the area of the quadrilateral abop is equal to the area of the triangle ABC? If so, ask for the coordinates of point p; if not, explain the reason