analyse

Nitrifying bacteria can not carry out photosynthesis, but can oxidize ammonia and other substances into nitrate and nitrite through chemical synthesis, and use the energy released in this process to synthesize their own organic matter, which is autotrophic, and A is correct;

Cyanobacteria are prokaryotes without chloroplasts, but their cells contain phycocyanin and chlorophyll, which can be used for photosynthesis and belong to producers in the ecosystem. B is correct;

The metabolic type of yeast is facultative anaerobic, the aerobic respiratory products are water and carbon dioxide, and the anaerobic respiratory products are alcohol and carbon dioxide, which can be transported out of the cell through free diffusion, C is correct;

E. Escherichia coli is a prokaryote without a nuclear membrane. Transcription and translation are carried out in cytoplasm at the same time, and D is incorrect.