gaokao 2025 Q12

gaokao · China · national-I_eol 5 marks Tangents, normals and gradients Determine unknown parameters from tangent conditions

If the line $y = 2x + 5$ is tangent to the curve $y = e^x + x + a$, then $a = $ $\_\_\_\_$ .

If the line $y = 2x + 5$ is tangent to the curve $y = e^x + x + a$, then $a = $ $\_\_\_\_$ .