------
## 最终结论
```python
def check_k_elements(tuple_list, k):
    for tup in tuple_list:
        if len(tup) != k:
            return False
    return True

# Test cases
assert check_k_elements([(4, 4), (4, 4, 4), (4, 4), (4, 4, 4, 4), (4, )], 4) == True
assert check_k_elements([(7, 7, 7), (7, 7)], 7) == True
assert check_k_elements([(9, 9), (9, 9, 9, 9)], 7) == False
```