Step 1: Understand PCR mechanism.
PCR consists of three steps: denaturation, annealing, and extension. In the initial cycles, the DNA products are longer than the desired target.
Step 2: Cycle analysis.
- Cycle 1: Produces fragments longer than the target sequence (overhangs remain).
- Cycle 2: Still produces long DNA strands with one end defined.
- Cycle 3: For the first time, double-stranded DNA molecules of the exact required length are generated.
Step 3: Conclusion.
Thus, the required-length product first appears after 3 cycles.
Final Answer:
\[
\boxed{\text{After 3 cycles of PCR, the required-length product appears for the first time.}}
\]