
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the curve $C_{1}: \begin{cases} x=1+ \frac { \sqrt {2}}{2}t \\ y= \frac { \sqrt {2}}{2}t\end{cases}(t$ is a parameter), with the origin as the pole and the positive $x$-axis as the polar axis, a polar coordinate system is established. For the curve $C_{2}: \frac {1}{\rho ^{2}}= \frac {\cos ^{2}\theta}{2}+\sin ^{2}\theta$.  
(Ⅰ) Write the general equation of curve $C_{1}$ and the rectangular coordinate equation of curve $C_{2}$;  
(Ⅱ) If $M(1,0)$, and curve $C_{1}$ intersects with curve $C_{2}$ at two different points $A$, $B$, find the value of $\frac {|MA|\cdot |MB|}{|AB|}$.

Present the answer in LaTex format: \boxed{Your answer}
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