來(lái)源:網(wǎng)絡(luò)資源 2022-10-28 19:27:15
一、知識(shí)儲(chǔ)備
1.銳角三角比
的對(duì)邊斜邊sinA=∠A的對(duì)邊斜邊sinA=\frac{∠A的對(duì)邊}{斜邊}
的鄰邊斜邊cosA=∠A的鄰邊斜邊cosA=\frac{∠A的鄰邊}{斜邊}
的對(duì)邊的鄰邊tanA=∠A的對(duì)邊∠A的鄰邊tanA=\frac{∠A的對(duì)邊}{∠A的鄰邊}
<img src="https://pica.zhimg.com/50/v2-90b2a445798cfdce934dc4cd5213dc2d_720w.jpg?source=1940ef5c" data-rawwidth="1208" data-rawheight="736" data-size="small" data-caption="" class="origin_image zh-lightbox-thumb" width="1208" data-original="https://pic1.zhimg.com/v2-90b2a445798cfdce934dc4cd5213dc2d_r.jpg?source=1940ef5c"/>
2.特殊角的銳角三角比比值
<img src="https://pica.zhimg.com/50/v2-193728fce4b65e27913b7f39d6966cbc_720w.jpg?source=1940ef5c" data-rawwidth="1200" data-rawheight="840" data-size="small" data-caption="" class="origin_image zh-lightbox-thumb" width="1200" data-original="https://pic1.zhimg.com/v2-193728fce4b65e27913b7f39d6966cbc_r.jpg?source=1940ef5c"/>
3.仰角和俯角
在進(jìn)行測(cè)量時(shí),從下往上看,視線(xiàn)與水平線(xiàn)的夾角叫做仰角; 從上往下看,視線(xiàn)與水平線(xiàn)的夾角叫做俯角。
<img src="https://pic1.zhimg.com/50/v2-a16fd6885a6d5fc1298f1faa33ea439b_720w.jpg?source=1940ef5c" data-rawwidth="1184" data-rawheight="800" data-size="small" data-caption="" class="origin_image zh-lightbox-thumb" width="1184" data-original="https://pic2.zhimg.com/v2-a16fd6885a6d5fc1298f1faa33ea439b_r.jpg?source=1940ef5c"/>
4.坡度比
建筑學(xué)中把斜坡起止點(diǎn)A,B的高度差h與它們水平距離l的比叫做坡度(或坡比),通常用字母 ii 來(lái)表示,即 :i=h:li=h:l 。如圖,斜坡 ABAB 與水平線(xiàn) ACAC 的夾角記作 α\alpha ,那么 i=hl=tanαi=\frac{h}{l}=tan\alpha (坡度等于銳角 α\alpha 的正切)。
<img src="https://pic2.zhimg.com/50/v2-f581508849e9882d2d548d775d03c0ba_720w.jpg?source=1940ef5c" data-rawwidth="1224" data-rawheight="920" data-size="small" data-caption="" class="origin_image zh-lightbox-thumb" width="1224" data-original="https://pic2.zhimg.com/v2-f581508849e9882d2d548d775d03c0ba_r.jpg?source=1940ef5c"/>
5.方位角
<img src="https://pic2.zhimg.com/50/v2-e4890e6d44c08bfc2dc194557cff2b94_720w.jpg?source=1940ef5c" data-rawwidth="1168" data-rawheight="720" data-size="normal" data-caption="" class="origin_image zh-lightbox-thumb" width="1168" data-original="https://picx1.zhimg.com/v2-e4890e6d44c08bfc2dc194557cff2b94_r.jpg?source=1940ef5c"/>
二、解直角三角形2種思路
<img src="https://picx1.zhimg.com/50/v2-984265e5f69605eb306627eebf6c659e_720w.jpg?source=1940ef5c" data-rawwidth="1378" data-rawheight="955" data-size="normal" data-caption="" class="origin_image zh-lightbox-thumb" width="1378" data-original="https://picx1.zhimg.com/v2-984265e5f69605eb306627eebf6c659e_r.jpg?source=1940ef5c"/>
三、解直角三角形的6個(gè)模型
模型一
<img src="https://picx1.zhimg.com/50/v2-51314ab037298cd00ee925afedd688bc_720w.jpg?source=1940ef5c" data-rawwidth="1170" data-rawheight="266" data-size="normal" data-caption="" class="origin_image zh-lightbox-thumb" width="1170" data-original="https://picx1.zhimg.com/v2-51314ab037298cd00ee925afedd688bc_r.jpg?source=1940ef5c"/>
模型二
<img src="https://pic1.zhimg.com/50/v2-b47b59d1754040ae1dc53dbb2e0b1a30_720w.jpg?source=1940ef5c" data-rawwidth="1045" data-rawheight="238" data-size="normal" data-caption="" class="origin_image zh-lightbox-thumb" width="1045" data-original="https://pic2.zhimg.com/v2-b47b59d1754040ae1dc53dbb2e0b1a30_r.jpg?source=1940ef5c"/>
模型三
<img src="https://pic1.zhimg.com/50/v2-aa1200edd4b2e50bc1790fdb7a6af73f_720w.jpg?source=1940ef5c" data-rawwidth="1042" data-rawheight="294" data-size="normal" data-caption="" class="origin_image zh-lightbox-thumb" width="1042" data-original="https://pic2.zhimg.com/v2-aa1200edd4b2e50bc1790fdb7a6af73f_r.jpg?source=1940ef5c"/>
模型四
<img src="https://pica.zhimg.com/50/v2-9dcbf36164fa316d2ab09d2eb1b617d7_720w.jpg?source=1940ef5c" data-rawwidth="1141" data-rawheight="251" data-size="normal" data-caption="" class="origin_image zh-lightbox-thumb" width="1141" data-original="https://pic1.zhimg.com/v2-9dcbf36164fa316d2ab09d2eb1b617d7_r.jpg?source=1940ef5c"/>
模型五
<img src="https://pica.zhimg.com/50/v2-7ed2c42368038c7806753783439164fd_720w.jpg?source=1940ef5c" data-rawwidth="1027" data-rawheight="237" data-size="normal" data-caption="" class="origin_image zh-lightbox-thumb" width="1027" data-original="https://pic1.zhimg.com/v2-7ed2c42368038c7806753783439164fd_r.jpg?source=1940ef5c"/>
模型六
<img src="https://pic1.zhimg.com/50/v2-480ce5d73704de72a3a1da231d4d2706_720w.jpg?source=1940ef5c" data-rawwidth="1041" data-rawheight="260" data-size="normal" data-caption="" class="origin_image zh-lightbox-thumb" width="1041" data-original="https://pic2.zhimg.com/v2-480ce5d73704de72a3a1da231d4d2706_r.jpg?source=1940ef5c"/>
四、小試牛刀
<img src="https://pica.zhimg.com/50/v2-1197cb81c533b61a0e3ba30ab55fe141_720w.jpg?source=1940ef5c" data-rawwidth="956" data-rawheight="425" data-size="normal" data-caption="" class="origin_image zh-lightbox-thumb" width="956" data-original="https://pic1.zhimg.com/v2-1197cb81c533b61a0e3ba30ab55fe141_r.jpg?source=1940ef5c"/>
<img src="https://pic2.zhimg.com/50/v2-12d8243bdd6aa4ad85feb9e6a22d69be_720w.jpg?source=1940ef5c" data-rawwidth="968" data-rawheight="548" data-size="normal" data-caption="" class="origin_image zh-lightbox-thumb" width="968" data-original="https://pica.zhimg.com/v2-12d8243bdd6aa4ad85feb9e6a22d69be_r.jpg?source=1940ef5c"/>
<img src="https://pic3.zhimg.com/50/v2-1f141027a2b5386e51a7c4304a20c991_720w.jpg?source=1940ef5c" data-rawwidth="963" data-rawheight="638" data-size="normal" data-caption="" class="origin_image zh-lightbox-thumb" width="963" data-original="https://pic2.zhimg.com/v2-1f141027a2b5386e51a7c4304a20c991_r.jpg?source=1940ef5c"/>
<img src="https://pic2.zhimg.com/50/v2-31eb16bf3b447a7c796f7eb0229d4d58_720w.jpg?source=1940ef5c" data-rawwidth="923" data-rawheight="578" data-size="normal" data-caption="" class="origin_image zh-lightbox-thumb" width="923" data-original="https://pica.zhimg.com/v2-31eb16bf3b447a7c796f7eb0229d4d58_r.jpg?source=1940ef5c"/>
<img src="https://pic1.zhimg.com/50/v2-6386dd1cf3c53063bee2cab3b112ac6e_720w.jpg?source=1940ef5c" data-rawwidth="956" data-rawheight="619" data-size="normal" data-caption="" class="origin_image zh-lightbox-thumb" width="956" data-original="https://pic1.zhimg.com/v2-6386dd1cf3c53063bee2cab3b112ac6e_r.jpg?source=1940ef5c"/>
<img src="https://pic1.zhimg.com/50/v2-937f9b899a287813a3e46c4348a10fcb_720w.jpg?source=1940ef5c" data-rawwidth="938" data-rawheight="364" data-size="normal" data-caption="" class="origin_image zh-lightbox-thumb" width="938" data-original="https://pica.zhimg.com/v2-937f9b899a287813a3e46c4348a10fcb_r.jpg?source=1940ef5c"/>
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