how to put a file under SoC unix home directory with execute permission
and read permission？Thanks!

read the manual of chmod for further info.
man chmod

Basic file permissions on Unix-like systems usually consist of 3 digits. The first digit refers to the permission of the user who owns the file; the second refers to that of the group that the owner is in; the third refers to that of all the other users in the system.

Each of these digits is represented in octals. Therefore, you have 3 bits in each digit (for details about octals refer to any standard text on numerics and/or introductory digital logic/computer science). The first bit in each digit refers to "r" (read) permission; the second refers to "write" (w) permission; the third refers to "x" (execute) permission. [There are more complications when the seldom used (by normal users) "sticky bit," etc. is involve. I'll not go into details of those.]

Alternatively to the above 3-digit representation, you can actually use more easily memorized parameters for chmod. The format of this alternative is x1=y1,x2=y2,...

Where x's is a combination of u, g, or o, referring to "user," "group," and "others," respectively. Y's can be a combination of r, w, or x, referring to "read," "write," and "execute." The equality sign '=' there can be substituted with '+' or '-' if you just wanna add additional permission or remove permission on the file.

For example, you can use
chmod u=rwx,go=rx file
to do the same thing as
chmod 755 file
does.

For your original question, the command to use should actually by
chmod +rx file
While adds execute permission for all of u, g, and o.

怎么从那个命令行指定只有那一个文件的读和可执行性被改。你的那个命令看起来是把所有的文件的属性都改了，是吗？

chmod operations files

operations can be the digits or the acronyms.

files can be a list of files whose permissions are to be changed.

always make use of man pages first:
man chmod