------
## 最终结论
```python
def find_min_fibonacci_numbers(k):
    # Generate Fibonacci numbers up to k
    def generate_fibonacci(k):
        fibonacci_numbers = [1, 1]
        while True:
            next_fib = fibonacci_numbers[-1] + fibonacci_numbers[-2]
            if next_fib > k:
                break
            fibonacci_numbers.append(next_fib)
        return fibonacci_numbers

    fibonacci_numbers = generate_fibonacci(k)
    
    count = 0
    for fib in reversed(fibonacci_numbers):
        while k >= fib:
            k -= fib
            count += 1
        if k == 0:
            break
            
    return count

# Example usage:
k1 = 7
print(find_min_fibonacci_numbers(k1))  # Output: 2

k2 = 10
print(find_min_fibonacci_numbers(k2))  # Output: 2

k3 = 19
print(find_min_fibonacci_numbers(k3))  # Output: 3
```