职高数学高二水平！ 职高高二数学全公式
\u9ad8\u4e8c\u804c\u9ad8\u6570\u5b66
\u5982\u56fe\u6240\u793a
\u4e09\u89d2\u5b66
\u8fb9\u957f\u4e3aa\u3001b\u3001c\u7684\u76f4\u89d2\u4e09\u89d2\u5f62\uff0c\u5176\u4e2d\u4e00\u4e2a\u5939\u89d2\u4e3a\u03b8\u3002\u5b83\u7684\u516d\u4e2a\u4e09\u89d2\u51fd\u6570\u5206\u522b\u4e3a\uff1a\u6b63\u5f26\uff08sine\uff09\u3001\u4f59\u5f26 \uff08cosine\uff09\u3001\u6b63\u5207\uff08tangent\uff09\u3001\u4f59\u5272\uff08cosecant\uff09\u3001\u6b63\u5272\uff08secant\uff09\u548c\u4f59\u5207\uff08cotangent\uff09\u3002
sin\u03b8\uff1db/c\u3000\u3000cos\u03b8\uff1da/c\u3000\u3000tan\u03b8\uff1db/a
csc\u03b8\uff1dc/b\u3000\u3000sec\u03b8\uff1dc/a\u3000\u3000cot\u03b8\uff1da/b
\u3000\u3000
\u82e5\u5706\u7684\u534a\u5f84\u662f1\uff0c\u5219\u5176\u6b63\u5f26\u4e0e\u4f59\u5f26\u5206\u522b\u4e3a\u76f4\u89d2\u4e09\u89d2\u5f62\u7684\u9ad8\u4e0e\u5e95\u3002
a\uff1dcos\u03b8\u3000\u3000\u3000\u3000b\uff1dsin\u03b8
\u4f9d\u7167\u52fe\u80a1\u5b9a\u7406,\u6211\u4eec\u77e5\u9053a2\uff0bb2\uff1dc2\u3002\u56e0\u6b64\u5bf9\u4e8e\u5706\u4e0a\u7684\u4efb\u4f55\u89d2\u5ea6\u03b8\uff0c\u6211\u4eec\u90fd\u53ef\u5f97\u51fa\u4e0b\u5217\u7684\u5168\u7b49\u5f0f\uff1a
cos2\u03b8\uff0bsin2\u03b8\uff1d1
\u4e09\u89d2\u6052\u7b49\u5f0f
\u3000
\u6839\u636e\u524d\u51e0\u9875\u6240\u8ff0\u7684\u5b9a\u4e49\uff0c\u53ef\u5f97\u5230\u4e0b\u5217\u6052\u7b49\u5f0f\uff08identity\uff09\uff1a
tan\u03b8\uff1dsin\u03b8/cos\u03b8\uff0ccot\u03b8\uff1dcos\u03b8/sin\u03b8
sec\u03b8\uff1d1/cos\u03b8\uff0ccsc\u03b8\uff1d1/sin\u03b8
\u3000\u3000
\u5206\u522b\u7528cos 2\u03b8\u4e0esin 2\u03b8\u6765\u9664cos 2\u03b8\uff0bsin 2\u03b8\uff1d1\uff0c\u53ef\u5f97\uff1a
sec 2\u03b8\u2013tan 2\u03b8\uff1d1\u3000\u3000\u53ca\u3000\u3000csc 2\u03b8\u2013cot 2\u03b8\uff1d1
\u5bf9\u4e8e\u8d1f\u89d2\u5ea6\uff0c\u516d\u4e2a\u4e09\u89d2\u51fd\u6570\u5206\u522b\u4e3a\uff1a
sin(\u2013\u03b8)\uff1d \u2013sin\u03b8 \u3000csc(\u2013\u03b8)\uff1d \u2013csc\u03b8
cos(\u2013\u03b8)\uff1d cos\u03b8\u3000\u3000sec(\u2013\u03b8)\uff1d sec\u03b8
tan(\u2013\u03b8)\uff1d \u2013tan\u03b8\u3000 cot(\u2013\u03b8)\uff1d \u2013cot\u03b8
\u3000\u3000
\u5f53\u4e24\u89d2\u5ea6\u76f8\u52a0\u65f6\uff0c\u8fd0\u7528\u548c\u89d2\u516c\u5f0f\uff1a
sin(\u03b1\uff0b\u03b2)\uff1d sin\u03b1cos\u03b2\uff0bcos\u03b1sin\u03b2
cos(\u03b1\uff0b\u03b2)\uff1d cos\u03b1cos\u03b2\u2013sin\u03b1sin\u03b2
tan(\u03b1\uff0b\u03b2)\uff1d tan\u03b1\uff0btan\u03b2\uff0f1\u2013tan\u03b1tan\u03b2
\u82e5\u9047\u5230\u4e24\u500d\u89d2\u6216\u4e09\u500d\u89d2\uff0c\u8fd0\u7528\u500d\u89d2\u516c\u5f0f\uff1a
sin2\u03b1\uff1d 2sin\u03b1cos\u03b1\u3000 sin3\u03b1\uff1d 3sin\u03b1cos2\u03b1\u2013sin3\u03b1
cos2\u03b1\uff1d cos 2\u03b1\u2013sin 2\u03b1\u3000cos3\u03b1\uff1d cos 3\u03b1\u20133sin 2\u03b1cos\u03b1
tan 2\u03b1\uff1d 2tan\u03b1\uff0f1\u2013tan 2\u03b1
tan3\u03b1\uff1d 3tan\u03b1\u2013tan 3\u03b1\uff0f1\u20133tan 2\u03b1
\u4e8c\u7ef4\u56fe\u5f62
\u4e0b\u9762\u662f\u4e00\u4e9b\u4e8c\u7ef4\u56fe\u5f62\u7684\u5468\u957f\u4e0e\u9762\u79ef\u516c\u5f0f\u3002
\u5706\uff1a
\u534a\u5f84\uff1d r\u3000\u3000\u3000\u3000\u76f4\u5f84d\uff1d2r
\u5706\u5468\u957f\uff1d 2\u03c0r \uff1d\u03c0d
\u9762\u79ef\uff1d\u03c0r2\u3000 (\u03c0\uff1d3.1415926\u2026\u2026.)
\u692d\u5706\uff1a
\u9762\u79ef\uff1d\u03c0ab
a\u4e0eb\u5206\u522b\u4ee3\u8868\u77ed\u8f74\u4e0e\u957f\u8f74\u7684\u4e00\u534a\u3002
\u77e9\u5f62\uff1a
\u9762\u79ef\uff1d ab
\u5468\u957f\uff1d 2a\uff0b2b
\u5e73\u884c\u56db\u8fb9\u5f62\uff08parallelogram\uff09\uff1a
\u9762\u79ef\uff1d bh \uff1d ab sin\u03b1
\u5468\u957f\uff1d 2a\uff0b2b
\u68af\u5f62\uff1a
\u9762\u79ef\uff1d 1/2h (a\uff0bb)
\u5468\u957f\uff1d a\uff0bb\uff0bh (sec\u03b1\uff0bsec\u03b2)
\u6b63n\u8fb9\u5f62\uff1a
\u9762\u79ef\uff1d 1/2nb2 cot (180\u00b0/n)
\u5468\u957f\uff1d nb
\u56db\u8fb9\u5f62\uff08i\uff09\uff1a
\u9762\u79ef\uff1d 1/2ab sin\u03b1
\u56db\u8fb9\u5f62\uff08ii\uff09\uff1a
\u9762\u79ef\uff1d 1/2 (h1\uff0bh2) b\uff0bah1\uff0bch2
\u4e09\u7ef4\u56fe\u5f62
\u4ee5\u4e0b\u662f\u4e09\u7ef4\u7acb\u4f53\u7684\u4f53\u79ef\u4e0e\u8868\u9762\u79ef\uff08\u5305\u542b\u5e95\u90e8\uff09\u516c\u5f0f\u3002
\u7403\u4f53\uff1a
\u4f53\u79ef\uff1d 4/3\u03c0r3
\u8868\u9762\u79ef\uff1d 4\u03c0r2
\u65b9\u4f53\uff1a
\u4f53\u79ef\uff1d abc
\u8868\u9762\u79ef\uff1d 2(ab\uff0bac\uff0bbc)
\u5706\u67f1\u4f53\uff1a
\u4f53\u79ef\uff1d \u03c0r2h
\u8868\u9762\u79ef\uff1d 2\u03c0rh\uff0b2\u03c0r2
\u5706\u9525\u4f53\uff1a
\u4f53\u79ef\uff1d 1/3\u03c0r2h
\u8868\u9762\u79ef\uff1d\u03c0r\u221ar2\uff0bh2 \uff0b\u03c0r2
\u4e09\u89d2\u9525\u4f53\uff1a
\u82e5\u5e95\u9762\u79ef\u4e3aA\uff0c
\u4f53\u79ef\uff1d 1/3Ah
\u5e73\u622a\u5934\u4f53\uff08frustum\uff09\uff1a
\u4f53\u79ef\uff1d 1/3\u03c0h (a2\uff0bab\uff0bb2)
\u8868\u9762\u79ef\uff1d\u03c0(a\uff0bb)c\uff0b\u03c0a2\uff0b\u03c0b2
\u692d\u7403\uff1a
\u4f53\u79ef\uff1d 4/3\u03c0abc
\u73af\u9762\uff08torus\uff09\uff1a
\u4f53\u79ef\uff1d 1/4\u03c02 (a\uff0bb) (b\u2013a) 2
\u8868\u9762\u79ef\uff1d\u03c02 (b2\u2013a2)
（2）9^½=x, ∴x=3
(3)-2≤3x+4≤2
-6≤3x≤-2
-2≤x≤-2/3.
三（1）原式=1/4×16^¾+log₂4+1/3×3+2×1/2-1
=1/4×8+2+1+1-1
=2+2+1+1-1
=5.
填空 （1）5 （2）3 （3）【-2， -2/3】
计算题
1:5
1题是5
原谅我是数学学渣
绛旓細锛2锛9^½=x, 鈭磝=3 (3)-2鈮3x+4鈮2 -6鈮3x鈮-2 -2鈮鈮-2/3.涓夛紙1锛夊師寮=1/4脳16^¾+log₂4+1/3脳3+2脳1/2-1 =1/4脳8+2+1+1-1 =2+2+1+1-1 =5.
绛旓細铏界劧鑱岄珮鏁板涓庢櫘閫氶珮涓暟瀛︾殑鐭ヨ瘑鐐瑰ぇ鑷寸浉鍚岋紝涓浜涘ぇ鏉垮潡鐨勭煡璇嗗嚑涔庢槸涓鏍风殑锛屼絾鏄亴楂樻暟瀛︾殑鐭ヨ瘑閲忕浉瀵规潵璁蹭細灏戜竴浜涳紝渚嬪鏋佸潗鏍囦笌鍙傛暟鏂圭▼锛屼簩椤瑰紡瀹氱悊銆佸鏁颁笌瀹氱Н鍒嗙瓑閮芥病鏈夎姹傦紝鑰屾櫘閫氶珮涓暟瀛﹀垯鏄繀椤昏瀛︾殑銆傛讳綋鏉ヨ锛岃亴楂樻暟瀛︿笌鏅氶珮涓暟瀛︾煡璇嗕笂骞舵病鏈夊お澶у樊寮傘傝亴楂樻暟瀛︾殑闅惧害鏄瘮杈冪畝鍗曠殑锛...
绛旓細鍏堟妸锛2锛9锛変唬鍏ワ紝a^2=9, a=3鎴-3锛堣垗鍘伙級[璇存槑a^2琛ㄧずa鐨勫钩鏂筣2. 寰楀嚭f(x)=3^x, 鎵浠(-1)=3^(-1)=1/3 绁濅綘瀛︿範杩涙锛屼互鍚庢渶濂戒竴閬撲竴閬撻棶锛屽彲鑳戒細鏈夋洿澶氱殑浜轰細甯姪浣犮
绛旓細1銆傘傝L鐨勬柟绋嬩负y=kx+b锛屼笌x杞翠氦鎴60掳锛宬=卤鏍瑰彿涓3锛屾妸x(5.0)浠ｅ叆鏂圭▼锛屾眰b=-5鏍瑰彿3锛孡=卤鏍瑰彿3-5鏍瑰彿3 濂藉骞翠簡锛屽繕浜嗗樊涓嶅浜嗭紝鎴戜竴棰樹竴棰樼殑绛斿惂銆併2.銆傘傜湅K鐨勫叧绯汇侹鐩哥瓑锛屾墍浠ユ槸骞宠 3.銆傘180掳 4.銆傘12|5锛岀敤閭ｄ釜鐐瑰埌鐩寸嚎璺濈鐨勫叕寮 5.銆傘
绛旓細鏈夊叧杩欎釜鏁欐潗鐨勫悇鏂归潰淇℃伅锛屼綘鍙互鐩存帴涓婄綉鏌ヤ竴涓
绛旓細(a c)(2ac-ac) 鍥犱负a,b,c鏄笉鍏ㄧ浉绛夌殑姝ｆ暟,鎵浠ヨ繖閲屾槸澶т簬鍙 =a^2b ab^2 b^2c bc^2 a^c ac^2 =a^2(b c) b^2(a c) c^2(a b). 2.璇佹槑: 锛1 X1锛夛紙1 X2锛夛紙1 Xn锛 鈮2鈭(X1)*2鈭(X2)*2鈭(X3)*...2鈭(Xn) =2^n鈭(X1X2X3Xn) =2^n ...
绛旓細鑱岄珮楂樹簩鏁板鍒╃敤姹傚锛屾眰鍑烘瀬澶э紝鏋佸皬鍊硷紝涓庡尯闂寸鐐瑰兼瘮杈冨ぇ灏忥紝鏈澶х殑灏辨槸鏈澶у硷紝鏈灏忕殑灏辨槸鏈灏忓笺
绛旓細鑱岄珮鐨鏁板涓嶉毦鐨勶紝鍙互璇达紝姣斾綘鍒濅腑瀹规槗锛岄珮涓楂樹簩瀛﹀ソ鍩虹锛屾嬁婊″垎鏄緢瀹规槗鐨勶紝鍔犳补锛
绛旓細鏅氶珮涓洿渚ч噸瀛︿範锛屽洜涓烘櫘閫氶珮涓暟瀛︽槸涓涓笉鑳戒涪鍒嗙殑绉戠洰锛屼絾鏄鑱岄珮鏁板瑕佺畝鍗曚竴浜涖傝亴楂樻暟瀛﹀苟涓嶄細澶毦锛屾湁浜涚煡璇嗙偣鑱岄珮涓嶅銆傝亴楂樻暟瀛︽瘮鏅氶珮涓暟瀛﹁瀹规槗涓浜涳紝鍥犱负涓冨埗搴︾殑鍘熷洜瀵艰嚧涓浜涘鐢熸棤缂樻櫘閫氶珮涓彧鑳借繘鍏ヨ亴楂橈紝鑱岄珮鏄彲浠ュ涔犳枃鍖栬鐨勶紝浠ュ悗涔熷彲浠ュ弬鍔犻珮鑰冿紝鑱岄珮鐢熷弬鍔犲鍙ｉ珮鑰冧篃鏄鍙傚姞璇暟...
绛旓細鍖哄埆骞朵笉鏄壒鍒ぇ锛屼絾鏄ぇ瀹朵篃閮界煡閬鑱岄珮鏁板瀛︿範鐨勫唴瀹逛篃鏄瘮杈冪畝鍗曠殑锛屾墍浠ュぇ瀹朵篃鍙互瀹屽叏鏀惧績銆傚洜涓烘湁浜涗汉瀵逛簬鏁板杩欓棬璇剧▼浼氬瓨鍦ㄤ竴浜涘亸瑙侊紝鎵浠ュぇ瀹堕兘浼氳寰楁暟瀛﹁繖闂ㄨ绋嬪緢闅撅紝鑰屼笖寰堝瀛︾敓閮借寰楄嚜宸卞涓嶄細锛屼絾鏄ぇ瀹朵竴瀹氳鎺屾彙鍩虹鐭ヨ瘑锛岃屼笖骞虫椂鍦ㄧ敓娲讳腑涓瀹氳娉ㄦ剰绉疮锛屽苟涓旀湁涓浜涙暟瀛﹀叕寮忎竴瀹氳瀛︿細...
