1．Fibonacci数列递归算法的实现，集合全排列问题递归算法的实现，整数划分问题递归算法的实现； 2．循环赛日程表问题和棋盘覆盖分治算法的实现

1. Fibonacci数列递归算法的实现：

def fibonacci(n):
    if n <= 1:
        return n
    else:
        return fibonacci(n-1) + fibonacci(n-2)

2. 集合全排列问题递归算法的实现：

def permute(nums):
    if len(nums) == 0:
        return []
    if len(nums) == 1:
        return [nums]
    
    permutations = []
    
    for i in range(len(nums)):
        m = nums[i]
        remaining = nums[:i] + nums[i+1:]
        
        for p in permute(remaining):
            permutations.append([m] + p)
    
    return permutations

3. 整数划分问题递归算法的实现：

def integer_partition(n, m):
    if n == 0 or m == 1:
        return 1
    elif n < m:
        return integer_partition(n, n)
    else:
        return integer_partition(n, m-1) + integer_partition(n-m, m)

4. 循环赛日程表问题的实现：

def round_robin(num_teams):
    if num_teams % 2 != 0:
        num_teams += 1
    
    matches = []
    
    for i in range(1, num_teams):
        for j in range(i+1, num_teams+1):
            if i + j != num_teams + 1:
                matches.append((i, j))
    
    return matches

5. 棋盘覆盖分治算法的实现：

def chessboard_cover(board_size, special_row, special_col, tr, tc):
    if board_size == 1:
        return 0
    
    size = board_size // 2
    
    if tr < special_row + size and tc < special_col + size:
        return chessboard_cover(size, special_row, special_col, tr, tc)
    else:
        return (size ** 2) + chessboard_cover(size, special_row, special_col, special_row + size - 1, special_col + size - 1) + chessboard_cover(size, special_row, special_col + size, special_row + size - 1, special_col + size) + chessboard_cover(size, special_row + size, special_col, special_row + size, special_col + size - 1) + chessboard_cover(size, special_row + size, special_col + size, tr, tc)

以上是基于递归的算法实现。请注意，这些算法仅供参考，可能需要根据实际需求进行调整。