As shown in the figure, in the plane rectangular coordinate system, the straight line y = x + 4 intersects with the X axis at a, and intersects with the Y axis at point B, point C (- 2,0) 2. Make OD ⊥ BC intersection AB at point O, and calculate the coordinates of point D; 3. If the line y = kx-k has an intersection with line BD, calculate the value range of K

As shown in the figure, in the plane rectangular coordinate system, the straight line y = x + 4 intersects with the X axis at a, and intersects with the Y axis at point B, point C (- 2,0) 2. Make OD ⊥ BC intersection AB at point O, and calculate the coordinates of point D; 3. If the line y = kx-k has an intersection with line BD, calculate the value range of K

1) S △ ABC = (1 / 2) * ac * H = (1 / 2) × 2 × 4 = 42) let the straight line passing through B and C be y = ax + B, then: B = 4, a = 2, so y = 2x + 4. Because the point OD ⊥ BC intersects AB at D, the straight line passing through O and D is y = (- 1 / 2) x + B. by substituting (0,0), B = 0, so the straight line passing through O and D is y = - X / 2