Handle 1061 markdown

Phylab/storage/app/script/markdown/Handle1060111.md

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+1.物距像距法测凸透镜焦距
+
+(1)f$<$u$<$2f 成倒立放大的实像
+
+| 光源/mm | 光屏/mm | 凸透镜1/mm | 凸透镜2/mm | 均值/mm |
+| ------- | ------- | ---------- | ---------- | ------- |
+{%for ei in EXPER_1 |%}
+{% for i in ei-%}
+{% if loop.index ==1 %}
+%% i %%
+{% else %}
+| %% i %%
+{% endif %}
+{% endfor %}
+
+{% endfor %}
+
+
+
+$u=|x_凸-x_{光源}|-\delta$
+
+${u}_1 = %% U_Convex[0][0] %% mm$
+${u}_2 = %% U_Convex[0][1] %% mm$
+${u}_3 = %% U_Convex[0][2] %% mm$
+
+$v=|x_屏-x_凸|$
+
+${v}_1 = %% V_Convex[0][0] %% mm$
+${v}_2 = %% V_Convex[0][1] %%  mm$
+${v}_3 = %% V_Convex[0][2] %% mm$
+
+$$\because f = \displaystyle\frac{uv}{u+v}$$
+
+$\therefore {f}_1 = \displaystyle\frac{{u}_1{v}_1}{{u}_1+{v}_1} = %% F_Convex[0][0] %% mm$ ${f}_2 = %% F_Convex[0][1] %% mm$      $ {f}_3 = %% F_Convex[0][2] %% mm$
+
+$$\therefore {\bar{f}}_1 = \displaystyle\frac{{f}_1+{f}_2+{f}_3}{3} = %% F_Convex[0][3] %% mm$$
+
+(2)u=2f 成倒立等大的实像
+| 光源/mm | 光屏/mm | 凸透镜1/mm | 凸透镜2/mm | 均值/mm |
+| ------- | ------- | ---------- | ---------- | ------- |
+{%for ei in EXPER_2 |%}
+{% for i in ei-%}
+{% if loop.index ==1 %}
+%% i %%
+{% else %}
+| %% i %%
+{% endif %}
+{% endfor %}
+
+{% endfor %}
+
+$u=|x_凸-x_{光源}|-\delta$
+
+${u}_1 = %% U_Convex[0][0] %% mm$
+${u}_2 = %% U_Convex[0][1] %% mm$
+${u}_3 = %% U_Convex[0][2] %% mm$
+
+$v=|x_屏-x_凸|$
+
+${v}_1 = %% V_Convex[0][0] %% mm$
+${v}_2 = %% V_Convex[0][1] %%  mm$
+${v}_3 = %% V_Convex[0][2] %% mm$
+
+$$\because f = \displaystyle\frac{uv}{u+v}$$
+
+$\therefore {f}_1 = \displaystyle\frac{{u}_1{v}_1}{{u}_1+{v}_1} = %% F_Convex[0][0] %% mm$ ${f}_2 = %% F_Convex[0][1] %% mm$      $ {f}_3 = %% F_Convex[0][2] %% mm$
+
+$$\therefore {\bar{f}}_2 = \displaystyle\frac{{f}_1+{f}_2+{f}_3}{3} = %% F_Convex[0][3] %% mm$$
+
+(3)u $>$ 2f 成倒立缩小的实像
+
+| 光源/mm | 光屏/mm | 凸透镜1/mm | 凸透镜2/mm | 均值/mm |
+| ------- | ------- | ---------- | ---------- | ------- |
+{%for ei in EXPER_3 |%}
+{% for i in ei-%}
+{% if loop.index ==1 %}
+%% i %%
+{% else %}
+| %% i %%
+{% endif %}
+{% endfor %}
+
+{% endfor %}
+
+$u=|x_凸-x_{光源}|-\delta$
+
+${u}_1 = %% U_Convex[0][0] %% mm$
+${u}_2 = %% U_Convex[0][1] %% mm$
+${u}_3 = %% U_Convex[0][2] %% mm$
+
+$v=|x_屏-x_凸|$
+
+${v}_1 = %% V_Convex[0][0] %% mm$
+${v}_2 = %% V_Convex[0][1] %%  mm$
+${v}_3 = %% V_Convex[0][2] %% mm$
+
+$$\because f = \displaystyle\frac{uv}{u+v}$$
+
+$\therefore {f}_1 = \displaystyle\frac{{u}_1{v}_1}{{u}_1+{v}_1} = %% F_Convex[0][0] %% mm$ ${f}_2 = %% F_Convex[0][1] %% mm$      $ {f}_3 = %% F_Convex[0][2] %% mm$
+
+$$\therefore {\bar{f}}_3 = \displaystyle\frac{{f}_1+{f}_2+{f}_3}{3} = %% F_Convex[0][3] %% mm$$
+
+$$\therefore {\bar{f}} = \displaystyle\frac{\bar{f}_1+\bar{f}_2+\bar{f}_3}{3} = %% Average_F_Convex %% mm$$
+
+2.物距像距法测凹透镜焦距
+| 屏1/mm | 凹透镜1/mm | 凹透镜2/mm | 屏2/mm | 均值/mm |
+| ------- | ------- | ---------- | ---------- | ------- |
+{%for ei in EXPER_Concave |%}
+{% for i in ei-%}
+{% if loop.index ==1 %}
+%% i %%
+{% else %}
+| %% i %%
+{% endif %}
+{% endfor %}
+
+{% endfor %}
+
+$$u = {x}_{\text{屏1}} - {x}_{\text{均}}$$
+${u}_1 = %% U_Concave[0] %% mm$				${u}_2 = %% U_Concave[1] %% mm$				${u}_3 = %% U_Concave[2] %% mm$
+
+$$v = {\mid} {x}_{\text{屏2}} - {x}_{\text{均}}{\mid}$$
+
+${v}_1 = %% V_Concave[0] %%mm$			${v}_2 = %% V_Concave[1] %%mm$			${v}_3 = %% V_Concave[2] %%mm$
+
+$${\because} f = \displaystyle\frac{uv}{u+v}$$
+$${\therefore} {f}_1 = \displaystyle\frac{{u}_1{v}_1}{{u}_1+{v}_1} = %% F_Concave[0] %% mm$$
+
+${f}_2 = %% F_Concave[1] %% mm$			${f}_3 = %% F_Concave[2] %% mm$
+
+$${\therefore}{\bar{f}} = \displaystyle\frac{{f}_1+{f}_2+{f}_3}{3}  = %% AVERAGE_F_Concave %% mm$$
+

Phylab/storage/app/script/markdown/Handle1060213.md

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+实验2.自准直法测凸透镜焦距
+
+| 光源/mm | 凸透镜1/mm | 凸透镜2/mm | 均值/mm |
+| ------- | ---------- | ---------- | ------- |
+{%for ei in EXPER |%}
+{% for i in ei%}
+{% if loop.index ==1 %}
+%% i %%
+{% else %}
+| %% i %%
+{% endif %}
+{% endfor %}
+
+{% endfor %}
+
+$$\because f = {x}_{\text{光源}} - {x}_{\text{凸}} - \delta$$
+$$\delta =  %% DELTA %% mm$$
+$$\therefore {f}_1 = %% F[0] %% mm $$   
+
+${f}_2 = %% F[1] %% mm $   
+${f}_3 = %% F[2] %% mm $ 
+${f}_4 = %% F[3] %% mm $   
+${f}_5 = %% F[4] %% mm $
+
+$$\therefore \bar{f} = \frac{{f}_1+{f}_2+{f}_3+{f}_4+{f}_5}{5}  = %%　AVERAGE_F %% mm$$
+不确定度计算： 
+A类不确定度 $${u}_a = \sqrt{\frac{\overline{x^{2}} - \bar{x} ^{2}}{k-1}} =  %% UA_F %% mm$$
+B类不确定度 $${u}_b = \frac{0.5}{\sqrt{3}} = %% UB_F %% mm$$
+f的不确定度
+$$u(f) = \sqrt{{u}_a ^ {2} + {u}_b ^ {2}} =  %% UF %% mm$$
+$$  {\therefore}   \text{最终结果} f = (%% FINAL %% ) mm $$
+